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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" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Tue, 13 Aug 2024 12:13:12 -0700 Organization: A noiseless patient Spider Lines: 25 Message-ID: <v9gb89$1g5h$2@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <6c471296-90b8-4cf7-bc9b-480bd34ef190@att.net> <v93n0s$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> <v9g0br$3v7kj$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 13 Aug 2024 21:13:13 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4a84523421f9ce4759d9517bc1f63aca"; logging-data="49329"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18SHAsW7mq7xCLDIw3FD8Hqx75sesaCLpk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:wm8KSz6UoOAoOPYq8gPUUWiTSNs= In-Reply-To: <v9g0br$3v7kj$1@dont-email.me> Content-Language: en-US Bytes: 2166 On 8/13/2024 9:07 AM, FromTheRafters wrote: > 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? Ahh! Touche. :^D Well, lets say the real axis, or x axis if you will: (...)<--(-1)<--(-0+)-->(+1)-->(...) It's infinitely long... Notice the signed zero? lol. Fair enough?