Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Tue, 26 Nov 2024 10:06:15 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <40292abc147fee5a7bdd264b69d34ddf2061e59d@i2pn2.org> References: <0d6d06a888e15ed2042aca8ec7e6ebb93590b7bc@i2pn2.org> <8a2aedd8383a84ceef2fd985ac0bf529e2a0eccf@i2pn2.org> <3fe6ef31f562e0ddf598de46cf864986ca909687@i2pn2.org> <9cb8aec671200bb6d71582fd607b876b7ec4c83a@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 26 Nov 2024 15:06:15 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="32244"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: Content-Language: en-US Bytes: 2578 Lines: 21 On 11/26/24 6:24 AM, WM wrote: > On 26.11.2024 12:15, FromTheRafters wrote: >> WM pretended : > >>> It is impossible to change |ℕ| by 1 or more. >> >> Right, sets don't change. The set {2,3,4,...} does not equal the set >> of natural numbers, but |{2,3,4,...}| does equal |N|. >> > Then your |N| is an imprecise measure. My |N| is precise. > |{2,3,4,...}| = |N| - 1 =/= |N| . > > Regards, WM > > > Then your measure is incorrect, as by the DEFINITION of measures of infinite sets, all countably infinite sets have the same "measure". The proble is you believe in logic system that are inconsistant and thus have blown themselves up in contradictions.