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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.logic,sci.math Subject: Re: Replacement of Cardinality Date: Tue, 13 Aug 2024 12:07:19 -0400 Organization: Peripheral Visions Lines: 14 Message-ID: <v9g0br$3v7kj$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <6c471296-90b8-4cf7-bc9b-480bd34ef190@att.net> <v93n0s$b7a2$4@dont-email.me> <1f25a3d6-7b0e-476d-aa99-ecb003cf763f@att.net> <b0XFTJvTommasLo9Ns10OeW0TN0@jntp> <75e2ce0e-7df8-4266-968b-9c58e4140b03@att.net> <RCAlRuRy_RKB_tYItKJs7fNcIs0@jntp> <35d8c0a1-dab3-4c15-8f24-068e8200cb07@att.net> <sglIw8p3PCeHivaAhg-7IVZCN4A@jntp> <c3b058c033321a59844da1fa46c5ac85a4b6566c@i2pn2.org> <mH8M1Rqfb7VYix0Wa0ZP-U89eG4@jntp> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 13 Aug 2024 18:07:24 +0200 (CEST) Injection-Info: dont-email.me; posting-host="6698fa79f1fdcf2fa677ac9f7076b321"; logging-data="4169363"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18ZLJcdlnCTjZzsGC1OMG/JJpOROpevAwM=" Cancel-Lock: sha1:5Ra0gHJqwr7475RCXkn7D7wA7WY= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 1804 WM used his keyboard to write : > Le 12/08/2024 à 19:23, Richard Damon a écrit : >> On 8/12/24 9:50 AM, WM wrote: > >>>> What causes an exception: nₓ ∈ ℕ: >>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ? >>> >>> The end of the positive axis. >> >> Which, by the definition of the Natural Numbers, doesn't exist. > > The end of the positive axis exists. Right there where the negative axis begins?