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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: Python <python@invalid.org> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Thu, 22 Aug 2024 13:28:28 +0200 Organization: CCCP Lines: 11 Message-ID: <va77ct$blq6$14@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <c4bbc4d3-26b3-4e53-9c82-87c8396d155d@att.net> <UxK9-w52mbKHJ77U1V4M6I24HeY@jntp> <c8abcebe-b826-45de-8507-71521bf2d6a7@att.net> <v9vune$2unef$1@dont-email.me> <b476ed29-d093-47ac-b16d-a64ee620e79b@att.net> <J3NuQSpglS65L-_3eT5X2z97Eqg@jntp> <b660a922-3af8-4224-9c66-a750f48ec63b@att.net> <U8YVSGphNHvTenas6IC_7SR22wU@jntp> <c932d780-b3ea-499f-b59f-c0fe2e0b7552@att.net> <bujhfRmCrhbrenSju9nN_R0bHhY@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 22 Aug 2024 13:28:29 +0200 (CEST) Injection-Info: dont-email.me; posting-host="a80aacc4ae37788401d9379408ff4893"; logging-data="382790"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18FCHihTemjwmqfeTqiBpM8" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oIhXKLJihzBQs4EBjIyFbAfFMsM= In-Reply-To: <bujhfRmCrhbrenSju9nN_R0bHhY@jntp> Content-Language: en-US Bytes: 1768 Le 22/08/2024 à 13:17, Crank Wolfgang Mückenheim a écrit : .... > There is no set ℕᵈᵉᶠ because of lacking completeness. Sets of set theory > are complete. We know, in mückenmath sets are so complete that you can remove one of their members without changing them. Like in e \in S and S \ {e} = S as you claimed numerous times.