Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Thu, 15 Aug 2024 16:35:27 -0700 Organization: A noiseless patient Spider Lines: 24 Message-ID: References: <75e2ce0e-7df8-4266-968b-9c58e4140b03@att.net> <35d8c0a1-dab3-4c15-8f24-068e8200cb07@att.net> <4412ba58-855f-401d-9fd0-879d5cb50062@att.net> <219eed30-9918-4759-9b7e-826088fc91c9@att.net> <0aae40c7-1092-4b12-99dc-290aa5a94021@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 16 Aug 2024 01:35:29 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8b28403f99ffa92bcc2694c54178d92d"; logging-data="1194207"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19edo4Ps3DydNShb3sL85knOsvcVLOyW+Y=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:6F5I8j3uIBYrqLS+LvzyIxd5baU= Content-Language: en-US In-Reply-To: Bytes: 2504 On 8/15/2024 3:59 PM, Moebius wrote: > Am 16.08.2024 um 00:51 schrieb Jim Burns: >> On 8/15/2024 3:37 PM, Moebius wrote: >>> Am 15.08.2024 um 21:28 schrieb Jim Burns: >> >>>> Defining ⅟𝔊 to be the smallest unit fraction >>>> isn't a claim that ⅟𝔊 exists. >>> >>> You need an existence proof [...] >>> BEFORE stating a/the proper definition. >> >> Proving that [a unique] mimsy borogove exist[s] >> before defining [the] mimsy borogove >> seems like a pretty steep hill to climb. > > No mater what you think, in math we HAVE TO climb this hill, and we do. > >> That's a hill which I doubt we need to climb. > > Fuck you, asshole. Want't to be the the next crank in sci.math? (After > all the other cranks have left?) Wrt sqrt(2), afaict anytime we create a unit square, we have the sqrt(2) in all of its irrational infinite glory as a diagonal.