Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Wed, 25 Sep 2024 12:35:47 -0700 Organization: A noiseless patient Spider Lines: 26 Message-ID: References: <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <87jzfchnxc.fsf@bsb.me.uk> <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> <890ae313-aa9b-4f49-a53a-2374c9957f01@tha.de> <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> <534e5cd6b7a01203c28113337f108c745e57c6ae@i2pn2.org> <668655e01c651cc1b1a14d95b51bcd15443494cd@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 25 Sep 2024 21:35:48 +0200 (CEST) Injection-Info: dont-email.me; posting-host="738632991f0ac4d58f945bdb7e0ef0ce"; logging-data="3998075"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX196fxWPTrOHrXFKtRjFqNh80OiI8F7JdiQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:tFoTyWaV+bxrr8mtGm0rulTJ5zY= Content-Language: en-US In-Reply-To: Bytes: 3069 On 9/25/2024 8:26 AM, WM wrote: > On 25.09.2024 13:54, Richard Damon wrote: >> On 9/24/24 3:38 PM, WM wrote: >>> On 24.09.2024 10:00, joes wrote: >>>> Am Sun, 22 Sep 2024 15:28:38 +0200 schrieb WM: >>> >>>>> Really existing sets of real unit fractions have two ends. >>>> What is „an end”? >>> >>> An end is where nothing follows. >> >> And thus the lower end of the numbers x > 0 would be 0, a value not in >> the set, as the set doesn't have a lower end in it. > > If it is a set (actual infinity), then the set has a smallest member. > But that is hard to understand. >> >> That is why there is no smallest positive real or unit fraction. > > It is easier to understand with unit fractions. But most mathematicians > are too stupid even for this obvious fact. If you truly believe in a smallest unit fraction and/or largest natural number, well.... You are totally whacked out. You say most mathematicians are too stupid. I think that its you projecting yourself on others? ;^)