Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Python 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: References: 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: 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.