Re: Question about unbounded infinite sets...

From	Richard Damon <richard@damon-family.org>
Newsgroups	sci.math
Subject	Re: Question about unbounded infinite sets...
Date	2024-02-17 07:15 -0500
Organization	i2pn2 (i2pn.org)
Message-ID	<uqq81b$2q2ss$30@i2pn2.org> (permalink)
References	<uqohpe$11fn$1@dont-email.me> <87bk8gjey1.fsf@bsb.me.uk> <8n5KZIi_v62FIOpLT-2KphX0LZ8@jntp>

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On 2/17/24 3:23 AM, WM wrote:
> Le 16/02/2024 à 22:07, Ben Bacarisse a écrit :
>> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
>>
>>> Take a number that wants to get close to zero.
>>
>> This makes no sense.  "a number" is one number.  And numbers don't want
>> anything.
>>
> But mathematicians want to know about numbers, for instance how close to 
> zero the unit fractions come.
> 
> Take the function Number of Unit Fractions between (0, and x > 0). It 
> has the following properties:
> (1) An increase from NUF(0) = 0 to NUF(x>0) > 0 cannot happen unless 
> NUF(x) increases at some x.
> (2) NUF(x) cannot increase other than when passing unit fractions at 
> some x = 1/n.
> (3) NUF(x) cannot pass more than one unit fraction at a single point x 
> because
> ∀n ∈ ℕ: 1/n =/= 1/(n-1).
> (4) This requires a first unit fraction, if all are there in actual 
> infinity.
> 
> Regards, WM
> 

Or, that such a function can't actually be defined, because it assumes 
that there IS a "smallest unit fraction".

Just because you can "define" it in words, doesn't mean that it can 
actually exist.

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Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 12:49 -0800
  Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-16 21:07 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 13:22 -0800
      Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 13:56 -0800
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:09 -0800
          Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:19 -0800
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 09:56 +0000
              Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-17 12:11 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 22:03 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 07:36 -0500
              Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-17 13:35 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 19:14 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-18 13:16 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-18 21:00 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 18:12 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-19 08:14 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-19 07:33 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-19 12:59 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-19 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:24 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-19 08:27 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-19 15:37 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:15 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 16:47 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:42 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 12:01 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-22 07:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 14:05 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-23 11:14 -0800
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-22 09:39 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:35 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-23 03:54 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 09:04 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:16 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 10:31 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 16:14 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 11:45 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 14:43 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 12:58 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:07 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-24 11:26 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 12:58 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-22 09:54 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:42 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-23 08:11 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-23 09:38 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:20 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 14:25 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:05 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-25 15:58 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:36 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 14:05 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-26 11:19 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 15:57 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 13:57 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 19:38 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 20:33 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:31 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-20 10:36 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-19 15:21 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:12 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 16:52 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:47 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 15:02 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 21:59 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 14:19 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 18:55 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:39 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 14:26 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 13:06 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-22 13:12 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:55 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-23 14:21 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:10 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 12:55 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:01 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-25 14:35 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:32 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 11:44 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:24 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 09:42 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 12:45 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:25 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:44 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:52 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 12:04 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-22 07:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 14:11 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:27 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 11:30 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 10:31 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 16:16 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-24 11:29 -0500
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 11:47 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:26 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 10:27 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 15:02 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 12:59 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 17:23 -0500
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 10:00 +0000
              Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-18 20:00 -0800
                Re: Question about unbounded infinite sets... Yecin Tcharushin Bazunov <inaah@htr.ru> - 2024-02-19 18:30 +0000
                Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-19 19:19 -0800
                Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-20 11:10 -0800
          Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 15:35 -0800
            Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 18:48 -0800
              Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 19:34 -0800
      Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-19 00:01 +0000
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-18 16:54 -0800
    Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 08:23 +0000
      Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
        Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 21:59 +0000
          Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 07:36 -0500
            Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-18 11:49 -0500
              Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-18 10:03 -0800
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-18 21:04 +0000
  Re: Question about unbounded infinite sets... Erdélyi Szőke Komáromi <oikr@idrdls.hu> - 2024-02-16 21:44 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:07 -0800
    Re: Question about unbounded infinite sets... x <x@x.org> - 2024-02-17 06:33 -0800
      Re: Question about unbounded infinite sets... Burton Rabota Baidjanoff <nau@ninrbfbb.ru> - 2024-02-17 16:29 +0000
        Re: Question about unbounded infinite sets... Trolidous <trolidous@go.com> - 2024-02-17 13:54 -0800
  Re: Question about unbounded infinite sets... Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-02-16 21:45 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:12 -0800
  Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-16 17:33 -0500
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:16 -0800
      Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-17 06:33 -0500
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 11:59 -0800
  Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 20:06 -0800
  Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-17 14:29 -0800

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