Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 19. Nov 2024, 12:01:36
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vhhr6f$1q0r9$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 18.11.2024 20:22, Jim Burns wrote:
The set of even numbers is
a proper subset of the set of integers,
AND
the set of even numbers can match
the set of integers without either set changing.
That implies that our well-known intervals can cover the real line or reduce the average covering to 1/1000000000.
But every finite translation of any finite subset of intervals maintains the relative covering 1/5. If the infinite set has the relative covering 1 (or more or less), then you claim that the sequence 1/5, 1/5, 1/5, ... has limit 1 (or more or less).
So you deny analysis or / and geometry.
Regards, WM
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