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 (extra-ordinary) Date: Sat, 28 Dec 2024 14:58:50 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: References: <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 28 Dec 2024 14:58:50 +0100 (CET) Injection-Info: dont-email.me; posting-host="5d0ee4217b8db9d987b3a5f773aec09b"; logging-data="368275"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/RGF/0BkeFJljnqFFyhRxtAkZZRFYVKto=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Tw/MIdtxcAuRDpssUnOgmFxr8S4= In-Reply-To: Content-Language: en-US Bytes: 2468 On 28.12.2024 06:23, Moebius wrote: > >>> On 12/17/24 4:51 PM, WM wrote: > >>>> all FISONs contain/are all n. All FISONs contain all *definable* n. > Hint: For each and every n e IN there is a FISON such that n is in it. > > BUT there's no FISON such that each and every n e IN is in it. Every FISON contains less than half of all natural numbers. Therefore the union of all of them contains less than half of all natural numbers. Regards, WM