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Path: ...!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Wed, 27 Nov 2024 19:30:39 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <11dc2d582c25af0c97272bca23328d41d552e4c1@i2pn2.org> 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$1@dont-email.me> <fd3b1465f1afb40960f5969b583b179a26291d6b@i2pn2.org> <vi7r4m$g2n7$1@solani.org> <40230dd1264c9ae6fc738d04d113662345016b18@i2pn2.org> <vi83pf$5s6q$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 28 Nov 2024 00:30:39 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="235349"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <vi83pf$5s6q$4@dont-email.me> Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2519 Lines: 22 On 11/27/24 4:43 PM, WM wrote: > On 27.11.2024 22:14, Richard Damon wrote: >> On 11/27/24 2:15 PM, WM wrote: > >>>> It it the successor for the SET of natural numbers. >>> >>> And that is nothing else but all natural numbers. >> >> No, the set is different from its members. > > By what? > > Regards, WM > > It is a set, with set type properties, and its members are Natural Numbers, with Natural Number like propertis. The set is equal to N, which is the name of the set, but none of the members are 'equal' to N, they are MEMBERS of it. You are just showing your ignorance.