Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 31. Dec 2024, 19:08:38
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vl1bv6$2bcos$3@dont-email.me>
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On 31.12.2024 16:39, Richard Damon wrote:
All you have proved is that any finite set has a maximum value, while the INFINITE set of Natural Numbers (or FISONs) do not, and thus your logic can't talk about "all".
The set of natural numbers in FISONs is finite because it is the union of FISONs.
Every union of FISONs which stay below a certain threshold stays below that threshold. Every FISON is finite.
Regards, WM