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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions?
Date: Mon, 09 Sep 2024 06:12:00 -0400
Organization: Peripheral Visions
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References: <vb4rde$22fb4$2@solani.org> <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> <vb57lf$2vud1$1@dont-email.me> <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <vb6o0r$3a4m1$2@dont-email.me> <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <vbabbm$24a94$1@solani.org> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <vbd56i$fqa0$1@dont-email.me> <vbdbq3$gdoe$2@dont-email.me> <vbes57$qdqo$2@dont-email.me> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <vbesjo$27gfe$1@solani.org> <vbf0s9$qp1j$3@dont-email.me> <vbfpf5$utdu$2@dont-email.me> <vbh5qe$19a45$1@dont-email.me> <vbhdf6$1btm1$1@dont-email.me> <vbhdsh$1btm1$2@dont-email.me> <vbhj65$1bi3k$3@dont-email.me> <9eeba8a5041ce7ee48e5019d9e98d4ea38a1eb72@i2pn2.org> <vbhkmo$1bi3l$8@dont-email.me> <89ed6d8de6c20d65e869d384181b642309f63bc4@i2pn2.org> <vbkv1r$20uoi$4@dont-email.me> <937a4a53c27b209538bb77bfe8059a90cc70ee9e@i2pn2.org>
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After serious thinking joes wrote :
> Am Sun, 08 Sep 2024 21:48:11 +0200 schrieb WM:
>> On 07.09.2024 16:49, Richard Damon wrote:
>> 
>>> All those add up to less than x, so they fit.
>>> Select any gap between one of the first ℵo unit fractions and its
>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into the
>> interval (0, x), independent of the actual size.
> Why?

His most used axiom in his system is the axiom of "because I said so" 
which is very very powerful.