Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Fri, 29 Nov 2024 20:37:24 +0100 Organization: A noiseless patient Spider Lines: 14 Message-ID: References: <0d6d06a888e15ed2042aca8ec7e6ebb93590b7bc@i2pn2.org> <8a2aedd8383a84ceef2fd985ac0bf529e2a0eccf@i2pn2.org> <3fe6ef31f562e0ddf598de46cf864986ca909687@i2pn2.org> <9cb8aec671200bb6d71582fd607b876b7ec4c83a@i2pn2.org> <40292abc147fee5a7bdd264b69d34ddf2061e59d@i2pn2.org> <0bc3cdc8c096bba16decd94ad2af85d35da9b7b4@i2pn2.org> <9896cb31-806b-40a2-a03e-dc4aea744d04@att.net> <298a18e0-a0c6-4db2-901d-da255ecace0b@tha.de> <0b2e9a84-f5b3-4f02-8f78-7781da9175af@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 29 Nov 2024 20:37:25 +0100 (CET) Injection-Info: dont-email.me; posting-host="5c34f1366b721b64e39d37d3519800a6"; logging-data="1285364"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/rJJLVGe9TCH0zUC35Zrtfk2kc0MIFANQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:/ZNO3rXfdDqgcx2SeKYtkHpQfe0= Content-Language: en-US In-Reply-To: <0b2e9a84-f5b3-4f02-8f78-7781da9175af@att.net> Bytes: 2334 On 29.11.2024 19:08, Jim Burns wrote: > > After all the swaps >  (of which no swap is a change in cardinality) > what remains is a proper subset Not proper. No element can leave by swaps. > (which is not a change in cardinality). Irrelevant. Cardinality is a fuzzy measure. Regards, WM