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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sat, 26 Oct 2024 12:35:12 -0700 Organization: A noiseless patient Spider Lines: 21 Message-ID: <vfjg9h$3rjvp$2@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vf3mts$i1ai$1@dont-email.me> <45df31bad2d3e517cb48ab1f0eb7ff6f80999bf3@i2pn2.org> <vf526v$s8qs$2@dont-email.me> <vf56f2$svda$1@dont-email.me> <vf58pv$t8hc$2@dont-email.me> <5e5ccee7-0c98-4701-aeaa-4950a3ce2938@att.net> <vf66bb$125ku$1@dont-email.me> <08a00c75-bf8d-4f9c-816a-83b8517ca04e@att.net> <vf7mqj$1d3m4$2@dont-email.me> <062a0fa5-9a15-4649-8095-22c877af5ebf@att.net> <vf8itt$1hosd$2@dont-email.me> <b1e5a319-eaec-44d2-b961-f90bc241e7e6@att.net> <vf8r7k$1jnia$2@dont-email.me> <d316baa3-de5b-4644-86ff-beacad9df107@att.net> <vfd97u$2jtos$1@dont-email.me> <276fc9df-619b-4a10-b414-a04a74aa7378@att.net> <vfe5d5$2olom$1@dont-email.me> <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <vfg07k$1chpe$1@solani.org> <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <vfgil3$38pn6$1@dont-email.me> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <vfgqoc$39o4h$2@dont-email.me> <acd4aad3-9447-45a9-bafd-f8b93d781827@att.net> <vfj3v0$1e96h$2@solani.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 26 Oct 2024 21:35:13 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8fd9edeffa64a10600130af9cd1a89e6"; logging-data="4050937"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX185NN6BYXTSxN8HBUYBis2D4Wew06NwA9w=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:zdBZmTnnisHG0QT9YjKoNJJ1+Vo= Content-Language: en-US In-Reply-To: <vfj3v0$1e96h$2@solani.org> Bytes: 2674 On 10/26/2024 9:04 AM, WM wrote: > On 26.10.2024 05:21, Jim Burns wrote: >> On 10/25/2024 3:15 PM, WM wrote: > >>> Mainly, among other points, the claim that >>> all unit fractions can be defined and the claim that >>> a Bob can disappear in lossless exchanges. >> >> The proof that all unit fractions can be defined >> is to define them >> as reciprocals of positive countable.to.from.0 numbers. >> >> That describes all of them and only them. > > No, you falsely assume that all natnumbers can be defined. Huh? Confusing to me. Humm... Are you trying to suggest that a natural number can _not_ be a natural number? [...]