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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: Contradiction of bijections as a measure for infinite sets Date: Wed, 03 Apr 2024 11:59:54 -0400 Organization: Peripheral Visions Lines: 15 Message-ID: <uujudu$115r$1@dont-email.me> References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <uu6fo6$3dq4t$1@i2pn2.org> <ZIe3ohnd0vDG1-QosVonoapT7V8@jntp> <uu9j79$3gijc$8@i2pn2.org> <5fxRDo_iHMUImphe8RGVplmYuCQ@jntp> <uuc9cr$3j5g3$1@i2pn2.org> <nVHZfuyg7O6FHCXZXigDgC2s8EU@jntp> <uufegr$3p7r0$1@i2pn2.org> <XNMbPeWA6KdZNjVAaRrj0SXXhxo@jntp> <e392b515-c9ad-4e57-8edd-ceedc8b67bea@att.net> <XXPbPRsdhaYaKB7KZdQr_ljWUOk@jntp> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 03 Apr 2024 15:59:58 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b18b7728fdfab68dc49821d792dddfec"; logging-data="33979"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/+iTsx4KJUpVBeo0CBr1gLy2wQBH/+hfY=" Cancel-Lock: sha1:56r4mewUJ7lMLEVolMj87pE0whM= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 1902 WM presented the following explanation : > Le 02/04/2024 à 17:51, Jim Burns a écrit : >> On 4/2/2024 3:36 AM, WM wrote: > >> If your assumption leads to "no bijection", >> but there is a bijection, >> then your assumption is wrong. > > My trick proves that there is no bijection. > Or could you explain why first bijecting n and n/1 should destroy an existing > bijection? Your 'trick' only fails to demonstrate a bijection. Failing to demonstrate a bijection does not mean that there is no bijection, only that your 'trick' doesn't work to that end.