Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 12. Nov 2024, 14:59:24
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgvmvr$1kc5f$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 12.11.2024 14:45, Mikko wrote:
On 2024-11-11 11:33:52 +0000, WM said:
Between the intervals J(n) and (Jn+1) there are infinitely many rational
and irrational numbers but no hatural numbers.
Therefore infinitely many natural numbers must become centres of intervals, if Cantor was right. But that is impossible.
Where did Cantor say otherwise?
Cantor said that all rationals are within the sequence and hence within all intervals. I prove that rationals are in the complement.
Regards, WM
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