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: Thu, 5 Dec 2024 17:04:58 +0100 Organization: A noiseless patient Spider Lines: 11 Message-ID: References: <87frn50zjp.fsf@bsb.me.uk> <87y10vzo35.fsf@bsb.me.uk> <87ser3zgez.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 05 Dec 2024 17:04:59 +0100 (CET) Injection-Info: dont-email.me; posting-host="e460a63d8fc463190e759e7a758b0cfb"; logging-data="1792881"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1986FubH+TEDq3stAF93KwID2hGsIztcQM=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:kozIeNYzjNSQqbjtvt08i+JA/6s= Content-Language: en-US In-Reply-To: Bytes: 2257 On 05.12.2024 13:56, joes wrote: > Am Thu, 05 Dec 2024 12:42:17 +0100 schrieb WM: >> But every number you can take belongs to a vanishing subset of ℕ. > What does that have to do with the ability to be "chosen"? It is impossible to choose a number outside of a tiny subset. It is impossible to map all natural numbers. Regards, WM