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Groups > sci.math > #630960 > unrolled thread
| Started by | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| First post | 2024-09-02 19:07 +0200 |
| Last post | 2024-10-27 17:12 +0100 |
| Articles |
20 on this page of 1000+
— 13 participants
Thread has 2234 articles; only the first 1000 are indexed. |
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Thread has 2234 articles; showing the first 1000 in depth-first order. Use the flat group view to see the rest.
How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 19:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 13:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 22:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 17:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 07:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 23:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 00:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 13:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 21:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 16:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 14:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 22:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 00:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:26 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 15:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 11:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 12:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 11:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:49 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:03 +0200
Re: quantifier order joes <noreply@example.org> - 2024-09-09 19:55 +0000
Re: quantifier order WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:24 +0200
Re: quantifier order Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:49 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 16:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 21:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:25 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:46 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:13 +0200
Re: density of the reals joes <noreply@example.org> - 2024-09-11 06:05 +0000
Re: density of the reals WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 17:52 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:37 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:14 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-10 05:59 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-05 15:48 -0800
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:16 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:16 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-10 17:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 22:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-08 22:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 16:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 17:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 07:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 12:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 16:10 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 20:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-11 17:29 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-11 14:01 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-11 17:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 08:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-13 19:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 16:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-14 12:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:07 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-18 18:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 13:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 07:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 15:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-20 19:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 16:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 13:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 18:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 11:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 12:46 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 15:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-23 07:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 17:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:18 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 17:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 16:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 18:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 17:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:38 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:11 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 14:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-14 13:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 16:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:18 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 04:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 21:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-21 22:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 17:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-14 18:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-15 17:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 10:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 22:47 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 12:39 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 23:02 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 15:03 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:09 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:16 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-18 22:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 20:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 14:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 23:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:06 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 16:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 03:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 20:52 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 07:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 08:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 12:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:43 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 18:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 21:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 19:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-27 18:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-29 18:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 17:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-30 06:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 19:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 19:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 18:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 06:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 15:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 17:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 14:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 18:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-04 17:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 19:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-10 11:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:28 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 20:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 16:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-07 11:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-06 11:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:46 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 09:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 10:55 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 12:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-24 13:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 20:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 21:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 13:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 16:23 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-21 03:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 18:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 12:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 18:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 14:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-20 01:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 20:11 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 13:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:15 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 17:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 14:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 11:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-18 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 16:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:01 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-18 10:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 12:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:36 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 14:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 13:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 20:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 12:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 13:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:12 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 19:47 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 20:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 14:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 16:22 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-23 14:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-23 13:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 16:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 22:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 00:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 20:12 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-27 21:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-28 22:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 14:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:10 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-29 15:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 14:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 20:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 15:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-01 16:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 07:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 15:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 14:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 21:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 17:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 21:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 08:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 10:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 12:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-05 08:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 10:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:58 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 13:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 16:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 09:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 18:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 17:08 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 20:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 21:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 21:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 17:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 20:23 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 10:16 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 14:52 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 15:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-06 18:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-07 07:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 09:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 08:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 11:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 15:18 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 13:24 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-09 08:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 19:27 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 16:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 11:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 13:19 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 16:11 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 13:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 13:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-07 16:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 06:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 08:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 17:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 14:40 -0700
Re: Cardinality joes <noreply@example.org> - 2024-10-08 13:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:45 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-08 21:08 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 14:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 14:13 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 16:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 15:11 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 17:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 13:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 14:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-10 15:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 13:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-11 00:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 16:12 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 19:13 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-10 18:45 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:54 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 19:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 20:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 19:23 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 21:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-12 13:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:01 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 05:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 17:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 12:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-18 08:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:23 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 07:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-21 08:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-15 15:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 11:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 13:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-16 18:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 07:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 11:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 21:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 05:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-18 13:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 18:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 09:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 08:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 06:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:00 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 06:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 18:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 14:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:58 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:42 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-22 20:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 22:43 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 16:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 13:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 11:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 19:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 09:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-11 05:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 07:06 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 13:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-12 20:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 15:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 11:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 20:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 11:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 15:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 10:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-12 16:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:21 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 15:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 17:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:47 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:40 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:44 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 10:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-10 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 17:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 00:22 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 09:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 12:28 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 16:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 13:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 20:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 15:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 22:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 20:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 19:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 11:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 11:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:27 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 11:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-16 17:26 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 18:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 18:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 20:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 21:22 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 23:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-19 01:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 12:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 14:24 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 17:32 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 18:22 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 21:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 20:19 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 17:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 22:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 14:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 18:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:16 +0200
Re: Even numbers joes <noreply@example.org> - 2024-10-19 11:31 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 11:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 12:40 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 13:43 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 09:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 09:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 17:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 12:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-21 11:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-22 17:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 11:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-23 10:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-26 09:22 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-28 16:15 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-28 14:45 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-29 10:38 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-29 22:27 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 12:18 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 11:34 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 14:55 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 13:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 01:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 05:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 12:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 07:10 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 08:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 16:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 10:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 10:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 12:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 18:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 13:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 14:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 12:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-24 13:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-24 10:58 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-25 10:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 20:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-24 12:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-24 21:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 00:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-25 13:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 10:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 18:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-25 11:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 23:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-26 18:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-26 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 08:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 07:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 09:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:15 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 18:09 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 15:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 10:49 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 20:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-28 14:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-28 23:28 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 19:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-29 07:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-29 11:55 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-29 15:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 10:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:05 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 16:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:26 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-29 06:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 12:53 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 08:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 15:04 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 11:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 20:48 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:17 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:19 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:34 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:14 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:53 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:27 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 16:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:24 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 04:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:41 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 05:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 10:31 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 07:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 16:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 12:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:24 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 15:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 13:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:33 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:24 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:32 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:28 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-31 20:46 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-31 22:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-01 11:07 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-01 20:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 11:23 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 12:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:56 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 16:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 22:37 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 20:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-02 20:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 12:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 07:13 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 15:09 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 16:21 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 12:04 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 07:12 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 18:10 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 22:08 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-03 14:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 17:55 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-02 12:30 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 14:03 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:40 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 20:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:20 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 14:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 11:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 12:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 16:33 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:07 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-27 12:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 14:54 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:12 +0100
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-10-21 22:17 +0200 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <vf6crs$12u5b$5@dont-email.me> |
| In reply to | #632724 |
Am 21.10.2024 um 09:37 schrieb Chris M. Thomasson: > On 10/21/2024 12:14 AM, WM wrote: >> for dark numbers the ordering is inaccessible > > Why are the dark numbers unordered? Because they represent the dark side of the power!
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-10-21 08:17 +0000 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <1df9bb1273fd1e666e3deb68c07b480bf7a9f505@i2pn2.org> |
| In reply to | #632722 |
Am Mon, 21 Oct 2024 09:14:20 +0200 schrieb WM: > On 21.10.2024 01:04, joes wrote: >> Am Sat, 19 Oct 2024 10:23:05 +0200 schrieb WM: > >>> That is not possible if all natural numbers are doubled. The result >>> covers the interval (0, ω*2) twice as large as the original one (0, >>> ω). >> This destroys the ordering. If m>n, then 2m>2n. > No, also the transfinite numbers are ordered. But for dark numbers the > ordering is inaccessible anyhow. Yes, but the ordinals up to w*2 are two consecutive infinities. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-10-16 10:59 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veouut$2bc1q$5@dont-email.me> |
| In reply to | #632423 |
On 10/16/2024 1:30 AM, WM wrote:
> On 15.10.2024 00:27, Chris M. Thomasson wrote:
>
>> Take the index, using natural numbers
>>
>> 1: { 1 }
>> 2: { 1, 2 }
>> 3: { 1, 2, 3 }
>> 4: { 1, 2, 3, 4 }
>> ...
>>
>> vs:
>>
>> 1: { 2 }
>> 2: { 2, 4 }
>> 3: { 2, 4, 6 }
>> 4: { 2, 4, 6, 8 }
>> ...
>>
> There is a general rule not open to further discussion:
> When doubling natural numbers we obtain natural numbers which have not
> been doubled.
What is 1*2?
> In potential infinity we obtain more even natural numbers than have been
> doubled.
> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
>
> Regards, WM
>
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-10-15 15:51 +0000 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <2c732eefb860986209bd46ed88391ddceaddff55@i2pn2.org> |
| In reply to | #632395 |
Am Mon, 14 Oct 2024 18:37:31 +0200 schrieb WM: > On 14.10.2024 18:04, joes wrote: >> Am Mon, 14 Oct 2024 15:40:01 +0200 schrieb WM: >>> On 14.10.2024 14:15, joes wrote: >>> >>>> No, we are taking the complete, actually infinite set which reaches >>>> to "before" w. >>> and fills the space between 0 and ω evenly. Same happens with the >>> doubled set between 0 and ω2. >> No, there is no consequent infinity. The even numbers do not go 0, 2, >> 4, ..., w, w+2, w+4, ..., w*2 > Either the doubled numbers are natural, then half of them have not been > among the original set, or all natural numbers have been doubled, then > the result contains infinite numbers. Which "half"? > That doubling _all_ natural numbers only yields _all_ natural numbers is > impossible. Of course. But all doubled naturals are themselves natural. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-15 11:29 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <vOmcnYVG-OHpKZP6nZ2dnZfqnPSdnZ2d@giganews.com> |
| In reply to | #632404 |
On 10/15/2024 08:51 AM, joes wrote: > Am Mon, 14 Oct 2024 18:37:31 +0200 schrieb WM: >> On 14.10.2024 18:04, joes wrote: >>> Am Mon, 14 Oct 2024 15:40:01 +0200 schrieb WM: >>>> On 14.10.2024 14:15, joes wrote: >>>> >>>>> No, we are taking the complete, actually infinite set which reaches >>>>> to "before" w. >>>> and fills the space between 0 and ω evenly. Same happens with the >>>> doubled set between 0 and ω2. >>> No, there is no consequent infinity. The even numbers do not go 0, 2, >>> 4, ..., w, w+2, w+4, ..., w*2 >> Either the doubled numbers are natural, then half of them have not been >> among the original set, or all natural numbers have been doubled, then >> the result contains infinite numbers. > Which "half"? > >> That doubling _all_ natural numbers only yields _all_ natural numbers is >> impossible. > Of course. But all doubled naturals are themselves natural. > Aliquot parts, i.e. density where the "half of the integers are even", and the equivalency of the countably infinite, where "integers are 1-1 squares" were around centuries and THOUSANDS of years before Grosseteste and Galileo, and are such OLD HAT that this "old wrapped as new" is long, long, long past its freshness dating.
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-15 13:22 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <avecnXK3J6VsU5P6nZ2dnZfqnPhg4p2d@giganews.com> |
| In reply to | #632406 |
On 10/15/2024 11:29 AM, Ross Finlayson wrote: > On 10/15/2024 08:51 AM, joes wrote: >> Am Mon, 14 Oct 2024 18:37:31 +0200 schrieb WM: >>> On 14.10.2024 18:04, joes wrote: >>>> Am Mon, 14 Oct 2024 15:40:01 +0200 schrieb WM: >>>>> On 14.10.2024 14:15, joes wrote: >>>>> >>>>>> No, we are taking the complete, actually infinite set which reaches >>>>>> to "before" w. >>>>> and fills the space between 0 and ω evenly. Same happens with the >>>>> doubled set between 0 and ω2. >>>> No, there is no consequent infinity. The even numbers do not go 0, 2, >>>> 4, ..., w, w+2, w+4, ..., w*2 >>> Either the doubled numbers are natural, then half of them have not been >>> among the original set, or all natural numbers have been doubled, then >>> the result contains infinite numbers. >> Which "half"? >> >>> That doubling _all_ natural numbers only yields _all_ natural numbers is >>> impossible. >> Of course. But all doubled naturals are themselves natural. >> > > Aliquot parts, i.e. density where the "half of the integers are even", > and the equivalency of the countably infinite, where "integers are > 1-1 squares" were around centuries and THOUSANDS of years before > Grosseteste and Galileo, and are such OLD HAT that this "old wrapped > as new" is long, long, long past its freshness dating. > > You know, sets model some numbers, and, numbers model some sets. This is called "descriptive" set theory or usually enough "arithmetization". Anyways it's totally usual that there's a model of integers that is each of the bounded above and below fragments of integers, where, the operations aren't closed, except, to enough small numbers close to zero, they are. I.e., it's exactly the same thing to have a bunch of bounded models at least one of which suffices, as to have no least which doesn't suffice. Or, this way then it's totally obvious that a fair sampling, for example the fair coin toss or Bernoulli trial, of integers, results P(x is even) = 1/2, "in the limit", i.e. what's called "asymptotic density". That's its _name_ and that's what it _is_, and that the "each least bound" and "no least bound" models of integers have both "asymptotic density" and "countable cardinality" is so dirt-obvious that it should go without saying, except some people claim there's only the one way and that what's a direct result in the one is so in-direct in the other makes it not a thing, well, that's a falsehood. So, integers have _both_ these "each least bound" and "no least bound" what are totally inverted their existential and universal quantifiers and brought together in a fuller dialectic, there is and are both, there are and is. Opinionated closed-minded fools, thinking that the only one that's closed is that one that isn't each closure.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-10-16 10:19 +0200 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <vensvb$2533b$2@dont-email.me> |
| In reply to | #632407 |
On 15.10.2024 22:22, Ross Finlayson wrote: > "countable cardinality" is so dirt-obvious > that it should go without saying, And it is disproved by aa general truth: When doubling natural numbers we obtain natural numbers which have not been doubled. In potential infinity we obtain more even natural numbers than have been doubled. In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. Regards, WM
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-10-16 07:54 -0400 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <c3fc4893cf40eaec74d0df6ddaf9545835995023@i2pn2.org> |
| In reply to | #632419 |
On 10/16/24 4:19 AM, WM wrote: > On 15.10.2024 22:22, Ross Finlayson wrote: > >> "countable cardinality" is so dirt-obvious >> that it should go without saying, > > And it is disproved by aa general truth: When doubling natural numbers > we obtain natural numbers which have not been doubled. > In potential infinity we obtain more even natural numbers than have been > doubled. > In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. > > Regards, WM > > But that isn't actually a general truth, so you are just admitting that you aren't talking about the same Natural Numbers that everyone else is talking about, but some bastardization that is just finite. NO natural number when doubled results in a value that wasn't a natural number all the time. Your problem is that your "Acutal Infinity" isn't actually Infinity, and like isn't actually "actually".
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-10-16 10:55 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veoumv$2bc1q$4@dont-email.me> |
| In reply to | #632419 |
On 10/16/2024 1:19 AM, WM wrote: > On 15.10.2024 22:22, Ross Finlayson wrote: > >> "countable cardinality" is so dirt-obvious >> that it should go without saying, > > And it is disproved by aa general truth: When doubling natural numbers > we obtain natural numbers which have not been doubled. > In potential infinity we obtain more even natural numbers than have been > doubled. > In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. BARF!!!!!!!!
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-10-16 11:06 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veovbm$2bc2g$2@dont-email.me> |
| In reply to | #632456 |
On 10/16/2024 10:55 AM, Chris M. Thomasson wrote: > On 10/16/2024 1:19 AM, WM wrote: >> On 15.10.2024 22:22, Ross Finlayson wrote: >> >>> "countable cardinality" is so dirt-obvious >>> that it should go without saying, >> >> And it is disproved by aa general truth: When doubling natural numbers >> we obtain natural numbers which have not been doubled. >> In potential infinity we obtain more even natural numbers than have >> been doubled. >> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. > > BARF!!!!!!!! All natural numbers that have been doubled are natural numbers!
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-10-16 11:08 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veoveb$2bc1q$8@dont-email.me> |
| In reply to | #632462 |
On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: > On 10/16/2024 10:55 AM, Chris M. Thomasson wrote: >> On 10/16/2024 1:19 AM, WM wrote: >>> On 15.10.2024 22:22, Ross Finlayson wrote: >>> >>>> "countable cardinality" is so dirt-obvious >>>> that it should go without saying, >>> >>> And it is disproved by aa general truth: When doubling natural >>> numbers we obtain natural numbers which have not been doubled. >>> In potential infinity we obtain more even natural numbers than have >>> been doubled. >>> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. >> >> BARF!!!!!!!! > > All natural numbers that have been doubled are natural numbers! There were there all along. Actually, all natural numbers that have been tripled have been there all along. There is no largest natural number. Damn WM... You are the perfect troll.
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| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Date | 2024-10-16 11:09 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veovgu$2bc1q$9@dont-email.me> |
| In reply to | #632463 |
On 10/16/2024 11:08 AM, Chris M. Thomasson wrote: > On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >> On 10/16/2024 10:55 AM, Chris M. Thomasson wrote: >>> On 10/16/2024 1:19 AM, WM wrote: >>>> On 15.10.2024 22:22, Ross Finlayson wrote: >>>> >>>>> "countable cardinality" is so dirt-obvious >>>>> that it should go without saying, >>>> >>>> And it is disproved by aa general truth: When doubling natural >>>> numbers we obtain natural numbers which have not been doubled. >>>> In potential infinity we obtain more even natural numbers than have >>>> been doubled. >>>> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. >>> >>> BARF!!!!!!!! >> >> All natural numbers that have been doubled are natural numbers! > > There were there all along. Actually, all natural numbers that have been > tripled have been there all along. There is no largest natural number. > Damn WM... You are the perfect troll. Heck... Raising each natural number to the 42'd power results in natural numbers that have always been there. Always were there, and always will be there...
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-16 18:05 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <aqCcnTFQ7MNz_436nZ2dnZfqnPudnZ2d@giganews.com> |
| In reply to | #632462 |
On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: > On 10/16/2024 10:55 AM, Chris M. Thomasson wrote: >> On 10/16/2024 1:19 AM, WM wrote: >>> On 15.10.2024 22:22, Ross Finlayson wrote: >>> >>>> "countable cardinality" is so dirt-obvious >>>> that it should go without saying, >>> >>> And it is disproved by aa general truth: When doubling natural >>> numbers we obtain natural numbers which have not been doubled. >>> In potential infinity we obtain more even natural numbers than have >>> been doubled. >>> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. >> >> BARF!!!!!!!! > > All natural numbers that have been doubled are natural numbers! No the point is there is definitely _both_ the "asymptotic density" AND the "countable cardinality". That is obvious, and it is dirt-obvious, and people who follow only one, ignorant the other, need to look up from their nose because it's leading them. That's foolish, it's like a foolish bot, it's like AP on a bad day, it's like a total idiot with an inescapable head-lock on its own wandering off until the sidewalk ends. We're better than that. In some cases due food poisonings or other poisonings, vomiting can be a good idea, even therapeutic.
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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Date | 2024-10-17 07:25 -0400 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <bd2fe5d4-c284-47e7-a265-720539d2ab42@att.net> |
| In reply to | #632477 |
On 10/16/2024 9:05 PM, Ross Finlayson wrote: > On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >> [...] > > and people who follow only one, > ignorant the other, > need to look up from their nose > because it's leading them. To describe an indefinite one of an infinite domain is an infinite force.multiplier. But it needs to be only those in that domain, of that description. Loosen the restriction on the discussion, lose the force.multiplier. There isn't much useful to be said about things which _might or might not_ be well.ordered. Etc.
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-17 11:20 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <27WcnWnC9tjPyIz6nZ2dnZfqn_idnZ2d@giganews.com> |
| In reply to | #632478 |
On 10/17/2024 04:25 AM, Jim Burns wrote: > On 10/16/2024 9:05 PM, Ross Finlayson wrote: >> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: > >>> [...] >> >> and people who follow only one, >> ignorant the other, >> need to look up from their nose >> because it's leading them. > > To describe an indefinite one of > an infinite domain is > an infinite force.multiplier. > > But it needs to be > only those in that domain, > of that description. > > Loosen the restriction on the discussion, > lose the force.multiplier. > There isn't much useful to be said > about things which _might or might not_ > be well.ordered. Etc. > > It is a fact: that in number theory, according to number theorists, that there's a descriptive aspect of numbers, and it's "asymptotic density", and according to "asymptotic density", half of the integers are even. Whether it's SETS of numbers or the sets of NUMBERS, in number theory, the set of integers, has associated with the set of even integers, a relative size relation, of: one half. So, if you don't recognize that as a fact, then, you're not talking about numbers. Numbers the arithmetization, ..., which is a most usual first thing in all manners of descriptive set theory as would-be relevant. From an arithmetization: all the properties of integers so follow, and one of them is "asymptotic density". Half of the integers are even.
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| From | FromTheRafters <FTR@nomail.afraid.org> |
|---|---|
| Date | 2024-10-17 15:39 -0400 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <verp58$2slmo$1@dont-email.me> |
| In reply to | #632484 |
Ross Finlayson explained : > On 10/17/2024 04:25 AM, Jim Burns wrote: >> On 10/16/2024 9:05 PM, Ross Finlayson wrote: >>> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >> >>>> [...] >>> >>> and people who follow only one, >>> ignorant the other, >>> need to look up from their nose >>> because it's leading them. >> >> To describe an indefinite one of >> an infinite domain is >> an infinite force.multiplier. >> >> But it needs to be >> only those in that domain, >> of that description. >> >> Loosen the restriction on the discussion, >> lose the force.multiplier. >> There isn't much useful to be said >> about things which _might or might not_ >> be well.ordered. Etc. >> >> > > It is a fact: > that in number theory, > according to number theorists, > that there's a descriptive aspect of numbers, > and it's "asymptotic density", > and according to "asymptotic density", > half of the integers are even. > > Whether it's SETS of numbers > or the sets of NUMBERS, in > number theory, the set of integers, > has associated with the set of even integers, > a relative size relation, of: one half. > > So, if you don't recognize that as a fact, > then, you're not talking about numbers. > > > Numbers the arithmetization, ..., > which is a most usual first thing in > all manners of descriptive set theory > as would-be relevant. > > > From an arithmetization: > all the properties > of integers so follow, > and one of them is "asymptotic density". > > > Half of the integers are even. If that was what he was talking about, then he should say so. Otherwise it is not what we were talking about. Your previous mention of outpacing is also what we are not talking about. Comparing the naturals and the doubled naturals does imply a certain regular two to one ratio between the two as finite subsequences of each get built/run in parallel, but the Prime Density (RH) is not that regular and predictable. Anyway, the size of these infinite sets are equal despite outpacing and asymtotic density considerations.
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-17 21:56 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <p8ycnReSUJj9d4z6nZ2dnZfqnPWdnZ2d@giganews.com> |
| In reply to | #632494 |
On 10/17/2024 12:39 PM, FromTheRafters wrote: > Ross Finlayson explained : >> On 10/17/2024 04:25 AM, Jim Burns wrote: >>> On 10/16/2024 9:05 PM, Ross Finlayson wrote: >>>> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >>> >>>>> [...] >>>> >>>> and people who follow only one, >>>> ignorant the other, >>>> need to look up from their nose >>>> because it's leading them. >>> >>> To describe an indefinite one of >>> an infinite domain is >>> an infinite force.multiplier. >>> >>> But it needs to be >>> only those in that domain, >>> of that description. >>> >>> Loosen the restriction on the discussion, >>> lose the force.multiplier. >>> There isn't much useful to be said >>> about things which _might or might not_ >>> be well.ordered. Etc. >>> >>> >> >> It is a fact: >> that in number theory, >> according to number theorists, >> that there's a descriptive aspect of numbers, >> and it's "asymptotic density", >> and according to "asymptotic density", >> half of the integers are even. >> >> Whether it's SETS of numbers >> or the sets of NUMBERS, in >> number theory, the set of integers, >> has associated with the set of even integers, >> a relative size relation, of: one half. >> >> So, if you don't recognize that as a fact, >> then, you're not talking about numbers. >> >> >> Numbers the arithmetization, ..., >> which is a most usual first thing in >> all manners of descriptive set theory >> as would-be relevant. >> >> >> From an arithmetization: >> all the properties >> of integers so follow, >> and one of them is "asymptotic density". >> >> >> Half of the integers are even. > > If that was what he was talking about, then he should say so. Otherwise > it is not what we were talking about. > > Your previous mention of outpacing is also what we are not talking > about. Comparing the naturals and the doubled naturals does imply a > certain regular two to one ratio between the two as finite subsequences > of each get built/run in parallel, but the Prime Density (RH) is not > that regular and predictable. Anyway, the size of these infinite sets > are equal despite outpacing and asymtotic density considerations. The _cardinality_, among _size relations_, is same, which is obvious, while other _size relations_, particularly more relevant _size relations_, in the _spaces_ their _elements_, make for that of course notions like outpacing are _size relations_, particularly those being of nested sets, and notions like density are _size relations_, those being numbers. ... or any thing which so models those according to set theory. Numbers are never bereft their relations as numbers, and when a set theory _all its universe_ is arithmetized like Goedel says, it also so happens that it's always so, if not so obviously. The cardinality: is not the sole size relation when any other will do, and also it's usually mostly _not_ relevant.
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| From | FromTheRafters <FTR@nomail.afraid.org> |
|---|---|
| Date | 2024-10-18 05:05 -0400 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <vet8dj$37v18$1@dont-email.me> |
| In reply to | #632506 |
Ross Finlayson has brought this to us : > On 10/17/2024 12:39 PM, FromTheRafters wrote: >> Ross Finlayson explained : >>> On 10/17/2024 04:25 AM, Jim Burns wrote: >>>> On 10/16/2024 9:05 PM, Ross Finlayson wrote: >>>>> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >>>> >>>>>> [...] >>>>> >>>>> and people who follow only one, >>>>> ignorant the other, >>>>> need to look up from their nose >>>>> because it's leading them. >>>> >>>> To describe an indefinite one of >>>> an infinite domain is >>>> an infinite force.multiplier. >>>> >>>> But it needs to be >>>> only those in that domain, >>>> of that description. >>>> >>>> Loosen the restriction on the discussion, >>>> lose the force.multiplier. >>>> There isn't much useful to be said >>>> about things which _might or might not_ >>>> be well.ordered. Etc. >>>> >>>> >>> >>> It is a fact: >>> that in number theory, >>> according to number theorists, >>> that there's a descriptive aspect of numbers, >>> and it's "asymptotic density", >>> and according to "asymptotic density", >>> half of the integers are even. >>> >>> Whether it's SETS of numbers >>> or the sets of NUMBERS, in >>> number theory, the set of integers, >>> has associated with the set of even integers, >>> a relative size relation, of: one half. >>> >>> So, if you don't recognize that as a fact, >>> then, you're not talking about numbers. >>> >>> >>> Numbers the arithmetization, ..., >>> which is a most usual first thing in >>> all manners of descriptive set theory >>> as would-be relevant. >>> >>> >>> From an arithmetization: >>> all the properties >>> of integers so follow, >>> and one of them is "asymptotic density". >>> >>> >>> Half of the integers are even. >> >> If that was what he was talking about, then he should say so. Otherwise >> it is not what we were talking about. >> >> Your previous mention of outpacing is also what we are not talking >> about. Comparing the naturals and the doubled naturals does imply a >> certain regular two to one ratio between the two as finite subsequences >> of each get built/run in parallel, but the Prime Density (RH) is not >> that regular and predictable. Anyway, the size of these infinite sets >> are equal despite outpacing and asymtotic density considerations. > > The _cardinality_, among _size relations_, is same, > which is obvious, while other _size relations_, > particularly more relevant _size relations_, > in the _spaces_ their _elements_, make for that > of course notions like outpacing are _size relations_, > particularly those being of nested sets, and notions > like density are _size relations_, those being numbers. > > ... or any thing which so models those according to set theory. > > Numbers are never bereft their relations as numbers, > and when a set theory _all its universe_ is arithmetized > like Goedel says, it also so happens that it's always so, > if not so obviously. > > The cardinality: is not the sole size relation when any > other will do, and also it's usually mostly _not_ relevant. When he states n+1, that one is a finite cardinal number. If he wants to use some other notion of 'one' then he should stipulate exactly what that notion is.
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| From | Ross Finlayson <ross.a.finlayson@gmail.com> |
|---|---|
| Date | 2024-10-18 13:50 -0700 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <MmGdnRbADoBiVI_6nZ2dnZfqnPSdnZ2d@giganews.com> |
| In reply to | #632509 |
On 10/18/2024 02:05 AM, FromTheRafters wrote: > Ross Finlayson has brought this to us : >> On 10/17/2024 12:39 PM, FromTheRafters wrote: >>> Ross Finlayson explained : >>>> On 10/17/2024 04:25 AM, Jim Burns wrote: >>>>> On 10/16/2024 9:05 PM, Ross Finlayson wrote: >>>>>> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >>>>> >>>>>>> [...] >>>>>> >>>>>> and people who follow only one, >>>>>> ignorant the other, >>>>>> need to look up from their nose >>>>>> because it's leading them. >>>>> >>>>> To describe an indefinite one of >>>>> an infinite domain is >>>>> an infinite force.multiplier. >>>>> >>>>> But it needs to be >>>>> only those in that domain, >>>>> of that description. >>>>> >>>>> Loosen the restriction on the discussion, >>>>> lose the force.multiplier. >>>>> There isn't much useful to be said >>>>> about things which _might or might not_ >>>>> be well.ordered. Etc. >>>>> >>>>> >>>> >>>> It is a fact: >>>> that in number theory, >>>> according to number theorists, >>>> that there's a descriptive aspect of numbers, >>>> and it's "asymptotic density", >>>> and according to "asymptotic density", >>>> half of the integers are even. >>>> >>>> Whether it's SETS of numbers >>>> or the sets of NUMBERS, in >>>> number theory, the set of integers, >>>> has associated with the set of even integers, >>>> a relative size relation, of: one half. >>>> >>>> So, if you don't recognize that as a fact, >>>> then, you're not talking about numbers. >>>> >>>> >>>> Numbers the arithmetization, ..., >>>> which is a most usual first thing in >>>> all manners of descriptive set theory >>>> as would-be relevant. >>>> >>>> >>>> From an arithmetization: >>>> all the properties >>>> of integers so follow, >>>> and one of them is "asymptotic density". >>>> >>>> >>>> Half of the integers are even. >>> >>> If that was what he was talking about, then he should say so. Otherwise >>> it is not what we were talking about. >>> >>> Your previous mention of outpacing is also what we are not talking >>> about. Comparing the naturals and the doubled naturals does imply a >>> certain regular two to one ratio between the two as finite subsequences >>> of each get built/run in parallel, but the Prime Density (RH) is not >>> that regular and predictable. Anyway, the size of these infinite sets >>> are equal despite outpacing and asymtotic density considerations. >> >> The _cardinality_, among _size relations_, is same, >> which is obvious, while other _size relations_, >> particularly more relevant _size relations_, >> in the _spaces_ their _elements_, make for that >> of course notions like outpacing are _size relations_, >> particularly those being of nested sets, and notions >> like density are _size relations_, those being numbers. >> >> ... or any thing which so models those according to set theory. >> >> Numbers are never bereft their relations as numbers, >> and when a set theory _all its universe_ is arithmetized >> like Goedel says, it also so happens that it's always so, >> if not so obviously. >> >> The cardinality: is not the sole size relation when any >> other will do, and also it's usually mostly _not_ relevant. > > When he states n+1, that one is a finite cardinal number. If he wants to > use some other notion of 'one' then he should stipulate exactly what > that notion is. Sure, finite cardinals naturally model standard natural integers, and, vice-versa. See, here we're mathematicians with _both_ definitions in _one_ theory, there's only _one_ theory of mathematics and somehow according to words and correspondingly defined symbols relating to _natural_ numerical and geometrical and mathematical relations, we are conscientious mathematicians include that the conscience of mathematics is a bit different than the concept of conscience in human mores, which sometimes demands a polite conscious ignorance, here as conscientious mathematicians we are _not_ ignorant because all mathematical objects are mathematical objects. Then, it was a bit of a stretch to say that "cardinals are usually irrelevant", though for any given person with a usual well-rounded education it's about 50/50 or less whether they've heard of them, with regards to that everybody knows arithmetic and geometry. I know that Burns is a platonist at least one day each week, so, hope and a bottle of ketchup isn't a hamburger, yet at least there's hope. Same goes for the rest of you and us all.
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| From | FromTheRafters <FTR@nomail.afraid.org> |
|---|---|
| Date | 2024-10-18 17:09 -0400 |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) |
| Message-ID | <veuips$3fm39$1@dont-email.me> |
| In reply to | #632518 |
Ross Finlayson was thinking very hard : > On 10/18/2024 02:05 AM, FromTheRafters wrote: >> Ross Finlayson has brought this to us : >>> On 10/17/2024 12:39 PM, FromTheRafters wrote: >>>> Ross Finlayson explained : >>>>> On 10/17/2024 04:25 AM, Jim Burns wrote: >>>>>> On 10/16/2024 9:05 PM, Ross Finlayson wrote: >>>>>>> On 10/16/2024 11:06 AM, Chris M. Thomasson wrote: >>>>>> >>>>>>>> [...] >>>>>>> >>>>>>> and people who follow only one, >>>>>>> ignorant the other, >>>>>>> need to look up from their nose >>>>>>> because it's leading them. >>>>>> >>>>>> To describe an indefinite one of >>>>>> an infinite domain is >>>>>> an infinite force.multiplier. >>>>>> >>>>>> But it needs to be >>>>>> only those in that domain, >>>>>> of that description. >>>>>> >>>>>> Loosen the restriction on the discussion, >>>>>> lose the force.multiplier. >>>>>> There isn't much useful to be said >>>>>> about things which _might or might not_ >>>>>> be well.ordered. Etc. >>>>>> >>>>>> >>>>> >>>>> It is a fact: >>>>> that in number theory, >>>>> according to number theorists, >>>>> that there's a descriptive aspect of numbers, >>>>> and it's "asymptotic density", >>>>> and according to "asymptotic density", >>>>> half of the integers are even. >>>>> >>>>> Whether it's SETS of numbers >>>>> or the sets of NUMBERS, in >>>>> number theory, the set of integers, >>>>> has associated with the set of even integers, >>>>> a relative size relation, of: one half. >>>>> >>>>> So, if you don't recognize that as a fact, >>>>> then, you're not talking about numbers. >>>>> >>>>> >>>>> Numbers the arithmetization, ..., >>>>> which is a most usual first thing in >>>>> all manners of descriptive set theory >>>>> as would-be relevant. >>>>> >>>>> >>>>> From an arithmetization: >>>>> all the properties >>>>> of integers so follow, >>>>> and one of them is "asymptotic density". >>>>> >>>>> >>>>> Half of the integers are even. >>>> >>>> If that was what he was talking about, then he should say so. Otherwise >>>> it is not what we were talking about. >>>> >>>> Your previous mention of outpacing is also what we are not talking >>>> about. Comparing the naturals and the doubled naturals does imply a >>>> certain regular two to one ratio between the two as finite subsequences >>>> of each get built/run in parallel, but the Prime Density (RH) is not >>>> that regular and predictable. Anyway, the size of these infinite sets >>>> are equal despite outpacing and asymtotic density considerations. >>> >>> The _cardinality_, among _size relations_, is same, >>> which is obvious, while other _size relations_, >>> particularly more relevant _size relations_, >>> in the _spaces_ their _elements_, make for that >>> of course notions like outpacing are _size relations_, >>> particularly those being of nested sets, and notions >>> like density are _size relations_, those being numbers. >>> >>> ... or any thing which so models those according to set theory. >>> >>> Numbers are never bereft their relations as numbers, >>> and when a set theory _all its universe_ is arithmetized >>> like Goedel says, it also so happens that it's always so, >>> if not so obviously. >>> >>> The cardinality: is not the sole size relation when any >>> other will do, and also it's usually mostly _not_ relevant. >> >> When he states n+1, that one is a finite cardinal number. If he wants to >> use some other notion of 'one' then he should stipulate exactly what >> that notion is. > > Sure, finite cardinals naturally model standard natural integers, > and, vice-versa. > > See, here we're mathematicians with _both_ definitions in _one_ > theory, there's only _one_ theory of mathematics and somehow > according to words and correspondingly defined symbols relating > to _natural_ numerical and geometrical and mathematical relations, > we are conscientious mathematicians include that the conscience > of mathematics is a bit different than the concept of conscience > in human mores, which sometimes demands a polite conscious > ignorance, here as conscientious mathematicians we are _not_ > ignorant because all mathematical objects are mathematical objects. Sure, anyone not into foundations or set theory might not have heard of cardinality. WM on the other hand is trying to use ZFC set theory to prove Cantor wrong about pairing such astronomically high, ostensibly out of reach (hence DARK) numbers. > Then, it was a bit of a stretch to say that "cardinals are usually > irrelevant", though for any given person with a usual well-rounded > education it's about 50/50 or less whether they've heard of them, > with regards to that everybody knows arithmetic and geometry. Never realizing the trouble thinkers went through to arrive at such a good theory, and that they are actually using cardinal numbers for counting and ordinals for positioning in a sequence. > I know that Burns is a platonist at least one day each week, > so, hope and a bottle of ketchup isn't a hamburger, > yet at least there's hope. > > Same goes for the rest of you and us all. Yet we muddle through.
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