Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 20. Nov 2024, 18:01:41
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vhl4lk$5q4u$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 20.11.2024 15:14, FromTheRafters wrote:
WM formulated on Wednesday :
>
It does not make it wrong, but it unmasks it at imprecise. That's why I don't like it. We can do better.
It works well enough.
Really? Then you can answer the following questions:
Let every unit interval after a natural number on the real axis be coloured white with exception of the powers of 2 which are coloured black. Is it possible to shift the black intervals so that the whole real axis becomes black?
Or: Let every unit interval after a natural number on the real axis be coloured as above with exception of the intervals after the odd prime numbers which are coloured red. Is it possible to shift the red intervals so that the whole real axis becomes red?
What colour has the real axis after you have solved both tasks?
Regards, WM