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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Thu, 28 Nov 2024 11:14:10 +0100 Organization: A noiseless patient Spider Lines: 24 Message-ID: <vi9fpi$g1of$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vhtgec$1rdku$3@dont-email.me> <8a2aedd8383a84ceef2fd985ac0bf529e2a0eccf@i2pn2.org> <vhuv94$25ro0$1@dont-email.me> <be7b74a5d83b8ceebd1ec380bb57ff4190ec0cae@i2pn2.org> <vhv61v$25uqa$5@dont-email.me> <b75deca6b1a0631255cf1402ee83db2b266edd22@i2pn2.org> <vhvnvc$2aq7k$1@dont-email.me> <3fe6ef31f562e0ddf598de46cf864986ca909687@i2pn2.org> <vi1pul$2n5v3$1@dont-email.me> <9cb8aec671200bb6d71582fd607b876b7ec4c83a@i2pn2.org> <vi43br$3cllo$3@dont-email.me> <vi4ak0$3e1nc$1@dont-email.me> <vi4b5d$3dq30$1@dont-email.me> <40292abc147fee5a7bdd264b69d34ddf2061e59d@i2pn2.org> <vi4upt$3hg8t$1@dont-email.me> <c43fe07653eac2a9cc0432a6e289bfa1307613f8@i2pn2.org> <vi6rau$3v0dn$1@dont-email.me> <0bc3cdc8c096bba16decd94ad2af85d35da9b7b4@i2pn2.org> <vi7jv2$377e$1@dont-email.me> <9896cb31-806b-40a2-a03e-dc4aea744d04@att.net> <298a18e0-a0c6-4db2-901d-da255ecace0b@tha.de> <98d5429fe188b6924989872490403bb86f7afdfc@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 28 Nov 2024 11:14:10 +0100 (CET) Injection-Info: dont-email.me; posting-host="67cce382144bf1df261eb72066b481f0"; logging-data="526095"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18LwvCP2bNzKkm6VS9f2lgrazWpCArVSJc=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Q403tPPiNYlWtRc6nHRgIDWVzLs= In-Reply-To: <98d5429fe188b6924989872490403bb86f7afdfc@i2pn2.org> Content-Language: en-US Bytes: 2644 On 28.11.2024 01:31, Richard Damon wrote: > On 11/27/24 4:33 PM, WM wrote: >> On 27.11.2024 20:47, Jim Burns wrote: >> >>> Finite cardinals can change by 1 >>> The cardinal |ℕᶠⁱⁿ| cannot change by 1 >> >> Small wonder. Fuzzy properties like "many" cannot change by 1. >>> >>> Yes, >>> the sets can change membership by 1 >> >>> However, >>> the cardinalities of those sets cannot change by 1 >> >> This proves that cardinality is a fuzzy property. > No, it shows that infinite values act differently than finite numbers. They do not act but are described. Blind men use fuzzy measured, seeing men use precise measures. Regards, WM