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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: how (Aristotle says "potential is actual and actual is potential") |
| Date | 2024-06-02 15:23 -0400 |
| Organization | A noiseless patient Spider |
| Message-ID | <dc8b95f0-8ac3-4bf4-8c0c-cbdce7850ebd@att.net> (permalink) |
| References | (16 earlier) <gOSdnV36D9tHVcr7nZ2dnZfqn_UQraqk@giganews.com> <ba6b4e91-f84b-47d1-82af-09e1a4a31b90@att.net> <eFudneKzCNcDpsT7nZ2dnZfqn_SdnZ2d@giganews.com> <d93d92ed-c96d-4251-aeb7-d51ec896ad95@att.net> <cXadnQ1c4PgU5sf7nZ2dnZfqnPudnZ2d@giganews.com> |
On 5/31/2024 9:37 PM, Ross Finlayson wrote: > On 05/31/2024 11:32 AM, Jim Burns wrote: >> [...] > > This putative f called > EF the equivalency function, > f(n) = n/d, 0 <= n <= d, > d -> oo in the continuum limit, > _can not see its elements exchanged_, > it _can not be re-ordered_, > due the contrivance of how > it's standardly modeled as > a limit of real functions, and that > the continuum limit is not-a-real-function, > due the contrivance > it cannot be found its disorder, > it's "not Cartesian". The Dirac delta function δ(x) is not.a.real.function. Whatever it's _called_ δ(x) is _a certain kind_ of limit of a sequence of increasingly peaky functions. There are many good choices for peaky functions. For example, dₙ(x) = n⋅exp(-½⋅n²x²)/√̅2̅π for x≠0: limₙ dₙ(x) = 0 for β>0: limₙ ∫₋ᵦ⁺ᵝdₙ(x)⋅dx = 1 A typical use of δ(x) is ∫ f(x)⋅δ(x-x₀)⋅dx = f(x₀) _What that means_ is limₙ ∫ f(x)⋅dₙ(x-x₀)⋅dx = f(x₀) The peakiness limit n ⟶ ∞ comes last. δ(x) is not.a.real.function. δ(x) is not a limit of functions dₙ(x). δ(x) is a placeholder for a peaky function, for a limit.to.be.determined.later. δ(x) is not.a.real.function. δ(x) is not a function, full stop. No value δ(0) exists such that for β>0: ∫₋ᵦ⁺ᵝδ(0)⋅dx = 1 Consider your EF equivalency function, | f(n) = n/d, 0 <= n <= d, | d -> oo in the continuum limit, EF is not a function, full stop. If EF is a function, then EF can be composed with a function which transposes y1 and y2 Since it can't, it isn't. I don't know that EF _needs_ to be a function, but its non.function.hood makes the lack of sense of EF⁻¹(0.5) make sense, just as the lack of sense of δ(0) makes sense. ---- What is "the continuum limit"? You spend considerable electrons detailing all the usual ideas you are using. But "the continuum limit" isn't a usual limit. The usual limit(s) all give the rationals and only the rationals. lim(d → ∞) ⟦0/d!,1/d!,…,d!/d!⟧ = [0,1]∩ℚ and so on. I'd be interested in seeing something that shows me I'm wrong, but your "continuum limit" looks to me like you (RF) have assumed that the limit is the continuum.
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Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-21 04:22 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-21 13:36 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-21 13:06 -0700
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Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-21 16:05 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-21 20:50 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-21 19:45 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-21 20:28 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-22 14:33 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-23 06:50 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-23 13:45 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-27 13:08 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-27 19:10 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-28 15:03 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-28 12:56 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-28 17:23 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-29 02:59 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-29 03:36 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-29 13:07 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-29 12:50 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-29 12:54 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-29 18:26 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-29 17:31 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-30 12:44 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-30 19:52 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-31 14:32 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-31 18:37 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-01 07:21 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-01 09:24 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-02 15:23 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-02 13:43 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-02 23:51 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-02 21:32 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-03 06:52 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-04 00:23 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-04 15:04 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-04 15:22 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-04 16:46 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-04 20:43 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-04 23:39 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-05 17:26 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-06 13:10 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-06 17:19 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-07 00:41 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-07 13:24 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-07 17:15 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-07 17:29 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-08 01:35 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-08 08:28 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-08 08:47 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-08 13:47 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-09 17:11 -0700
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Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-10 13:48 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-10 23:36 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-10 20:46 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-11 06:25 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-11 14:37 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-11 11:49 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-13 12:04 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-13 23:40 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-14 13:12 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-14 20:31 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-14 19:37 -0700
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Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-15 10:31 -0700
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Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-15 12:13 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-15 16:20 -0400
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 13:49 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Moebius <invalid@example.invalid> - 2024-06-11 22:59 +0200
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 14:14 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-11 16:13 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Moebius <invalid@example.invalid> - 2024-06-12 01:17 +0200
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-12 04:14 -0700
Re: how (Aristotle says "potential is actual and actual is potential") FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 12:49 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-12 12:30 -0700
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:18 -0700
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:13 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-12 20:05 -0700
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 12:22 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-13 15:51 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-13 16:34 -0700
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-14 11:34 -0700
Re: how (Aristotle says "potential is actual and actual is potential") "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 22:30 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-06-04 16:04 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-23 07:04 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-27 13:03 -0700
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-22 10:14 -0400
Re: how (Aristotle says "potential is actual and actual is potential") Jim Burns <james.g.burns@att.net> - 2024-05-22 06:23 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-17 19:03 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-19 15:52 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-20 12:08 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-17 19:29 -0400
Re: how Moebius <invalid@example.invalid> - 2024-05-19 03:10 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-08 12:19 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-19 15:46 +0000
Re: how Moebius <invalid@example.invalid> - 2024-05-19 18:49 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-19 16:28 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-20 20:08 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-21 11:50 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-21 16:55 +0000
Re: how Moebius <invalid@example.invalid> - 2024-05-21 22:35 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-21 19:27 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-22 19:13 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-22 16:48 -0400
Re: how Moebius <invalid@example.invalid> - 2024-05-22 23:44 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-23 13:44 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-26 18:40 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-26 20:02 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-27 14:14 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-23 12:10 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-23 15:52 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-26 18:53 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-26 17:44 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-27 14:09 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-27 13:46 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-27 20:10 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-27 19:00 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-28 08:20 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-28 15:42 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-29 17:11 +0000
Re: how Python <python@invalid.org> - 2024-05-29 19:30 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-29 18:19 +0000
Re: how Python <python@invalid.org> - 2024-05-29 21:20 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-29 14:29 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-30 07:44 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-30 16:24 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-31 17:15 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-31 15:15 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-01 15:15 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-03 04:57 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-03 11:58 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-03 14:34 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-03 19:50 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-03 22:07 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-04 14:10 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-04 17:31 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-05 10:43 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-05 13:21 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-05 20:32 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-05 22:54 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-05 17:08 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-05 12:03 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-05 20:33 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-05 22:56 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-05 15:28 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-05 20:39 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-05 17:31 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-06 13:27 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-06 15:44 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 16:04 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 16:05 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-06 14:35 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-06 20:14 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-07 14:00 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 19:21 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-07 17:00 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 22:34 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-08 07:21 -0400
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-08 13:25 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-08 12:13 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-08 18:49 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:26 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 15:57 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 16:39 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 18:45 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 17:37 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 14:20 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-10 23:34 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 13:09 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 17:45 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 15:18 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-10 22:05 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-10 16:50 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:25 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:33 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:06 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-11 14:36 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-11 16:50 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:28 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:22 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:27 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:02 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:16 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:18 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-08 12:42 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-08 14:16 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-08 22:20 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-08 18:47 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-09 00:59 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-09 11:53 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:38 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 14:02 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-08 20:40 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-09 04:28 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-09 06:19 -0400
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-09 12:38 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 16:33 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 16:16 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-10 22:29 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-11 14:45 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-11 16:59 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-11 18:56 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-11 22:30 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 10:24 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-12 14:29 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 18:22 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 16:40 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:44 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 16:51 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:22 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:23 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 19:46 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 19:37 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 01:44 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 20:00 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 02:21 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 20:37 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 02:45 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 18:55 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-13 04:23 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-13 06:09 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 13:57 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-15 00:24 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-14 21:06 -0400
Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-14 19:51 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-15 15:09 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-15 14:39 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-16 01:09 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-16 01:24 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-17 14:31 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-18 00:00 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-17 18:39 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-18 01:16 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 01:40 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 12:10 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-12 17:47 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 02:15 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 10:57 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 08:53 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 01:33 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 10:59 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 13:41 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:25 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-11 14:44 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-11 16:57 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-11 18:53 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-11 22:22 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 10:18 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-12 14:25 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 13:30 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 10:21 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 12:54 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-12 14:18 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 18:27 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-12 14:54 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:33 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-12 17:12 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 10:55 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 09:16 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 15:25 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:45 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:59 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 12:13 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-13 21:44 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-14 00:05 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-14 00:08 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 17:02 -0400
Re: how Tom Bola <Tom@bolamail.etc> - 2024-06-13 02:14 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 02:26 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 13:53 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:28 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:55 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:02 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:13 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:26 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:48 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:55 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 18:04 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 18:12 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 18:44 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 18:03 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 21:39 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 23:52 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:48 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 13:17 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 16:29 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 18:47 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 16:56 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 19:01 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-14 18:34 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 16:41 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 18:55 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:46 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 13:01 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 14:25 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:34 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-14 10:56 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 16:39 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-14 18:53 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-14 14:52 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-15 17:58 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-15 18:00 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-15 18:06 +0200
Re: how (point at infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-15 09:19 -0700
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-15 18:35 +0200
Re: how (point at infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-15 09:45 -0700
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-15 19:12 +0200
Re: how (point at infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-15 10:32 -0700
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-15 19:14 +0200
Re: how (point at infinity) Jim Burns <james.g.burns@att.net> - 2024-06-15 13:30 -0400
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-16 01:45 +0200
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-16 01:50 +0200
Re: how (point at infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-16 05:56 -0700
Re: how (point at infinity) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 12:20 -0700
Re: how (point at infinity) Moebius <invalid@example.invalid> - 2024-06-16 21:46 +0200
Re: how (point at infinity) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 17:15 -0700
Re: how (point at infinity) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-16 05:47 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-16 03:13 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-16 14:17 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-18 13:12 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-18 20:09 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 13:45 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 08:22 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 14:50 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:39 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:53 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:07 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:23 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:28 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:40 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:09 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:35 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:38 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:39 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:44 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 15:58 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:33 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:37 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:47 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:49 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:09 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:15 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:28 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:41 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:43 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:31 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-12 01:33 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:20 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:28 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:54 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:07 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:41 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:43 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 13:00 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-12 01:24 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 06:50 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 06:49 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:33 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 16:03 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 13:43 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 17:50 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 22:14 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:40 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:50 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-06 10:52 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 10:59 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 11:59 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 12:00 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:18 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:38 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:51 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:57 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 21:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 04:37 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:04 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:32 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:56 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:00 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:10 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:57 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:56 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:41 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-14 11:30 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-14 17:21 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-14 23:42 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-14 23:43 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-16 14:21 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 12:05 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 12:11 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-16 21:41 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-16 21:51 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-17 00:52 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 17:11 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-17 20:04 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-18 20:13 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 17:13 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-17 21:19 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:58 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:03 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:04 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 10:48 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 14:28 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:31 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:53 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:40 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-14 11:30 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-14 22:43 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 20:16 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:59 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-13 01:47 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 20:11 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 20:12 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 11:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-07 13:06 +0200
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