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Path: ...!news.nobody.at!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Mikko <mikko.levanto@iki.fi> Newsgroups: sci.logic Subject: Re: Replacement of Cardinality Date: Sat, 3 Aug 2024 13:00:08 +0300 Organization: - Lines: 22 Message-ID: <v8kv38$3d8ri$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <v82amn$3acnb$2@dont-email.me> <nnNQiU97cYPJ7ikub_NQj-NjNiA@jntp> <v87lpn$dsd3$1@dont-email.me> <QLZ_2ACRhG592HBeU_Y-pOZfUzY@jntp> <v8a4jn$ufis$1@dont-email.me> <CFttuDVUlX6AnVwOZ2ia1BkP6nc@jntp> <v8ctus$1h744$1@dont-email.me> <NLmr4bX-AmfxCyTUJoZOK1iUz7E@jntp> <v8hvgd$2moea$1@dont-email.me> <sLb8ejAtD2GmBXesSRn7GN_xnzI@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 03 Aug 2024 12:00:09 +0200 (CEST) Injection-Info: dont-email.me; posting-host="1a48d50997def039aa1d0a2731ff3c2c"; logging-data="3580786"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/2N3iItFCqPMQhjgouQnxx" User-Agent: Unison/2.2 Cancel-Lock: sha1:/N+eHctcMjOv4QfLIW6ZeTIsM0I= Bytes: 1914 On 2024-08-02 11:02:24 +0000, WM said: > Le 02/08/2024 à 08:48, Mikko a écrit : >> On 2024-07-31 14:20:00 +0000, WM said: > >>> The bijection is not true. >> >> Of course not, just like the Moon is not true. It just is there. > > The bijection concerns only the potentially infinite initial segments. > Every natural number that can be verified in the bijection has ∀n ∈ > ℕ_verif: |ℕ \ {1, 2, 3, ..., n}| = ℵo successors, ℵo of which cannot > be verified. > Proof: Ther are more algebraic numbers than prime numbers. Every not > completely confused brain recognizes this. Which is irrelevant to the meaning of "true" and its inapplicablility to a bijection. -- Mikko