Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Thu, 9 Jan 2025 17:12:14 +0100 Organization: A noiseless patient Spider Lines: 22 Message-ID: References: <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <6db7afa9-f1e1-4d2b-beba-a5fc7a8b8686@att.net> <53806d5c-f456-4c13-8506-24c0b9ab310e@att.net> <931a709f-7dc7-46ed-a1a2-d0e1b60fc542@att.net> <0c4df4ba-a731-46ce-b2ef-80a497cf58eb@att.net> <28b36d9c5083dbae0b2773e16b385f0fb14f0fda@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 09 Jan 2025 17:12:15 +0100 (CET) Injection-Info: dont-email.me; posting-host="8bdf9882f6615ad69bf0d8eeafdc41b8"; logging-data="3617403"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+Qnw8WcbPr4jxmO4cqh20p5nf7Vsgt4UA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:5J7a3xnBR4l3wwNY3dtyNgw1Nb0= In-Reply-To: <28b36d9c5083dbae0b2773e16b385f0fb14f0fda@i2pn2.org> Content-Language: en-US Bytes: 2821 On 09.01.2025 02:26, Richard Damon wrote: > On 1/8/25 9:40 AM, WM wrote: >> On 08.01.2025 13:25, Richard Damon wrote: >>> On 1/8/25 4:06 AM, WM wrote: >>>> On 08.01.2025 00:30, Richard Damon wrote: >>>> >>>>> Except you don't use *EVERY* FISON, only those below some limit n >>>>> that is below a faction of infinity. >>>> >>>> Show a FISON that expanded by a factor of 100 or more covers ℕ. Fail! >>>> >>> There isn't one, but doesn't need to be. >> >> Read your sentence above. Think over its meaning. > WHat is wrong with it. You claim that I don't use every FISON because I use only those with less than 1 % of |ℕ|. To prove your claim, you must find a larger FISON not belonging to every of mine. You can't. Therefore your claim is wrong. Regard, WM