Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 05. Dec 2024, 16:51:59
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <visi6v$1mmrh$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 05.12.2024 14:40, FromTheRafters wrote:
WM used his keyboard to write :
All means all with no exception. But every number you can take belongs to a vanishing subset of ℕ.
What do you mean by vanishing?
The subset of numbers that can be taken is ℕ_def. It is smaller than |ℕ|/k for every k ∈ ℕ.
Have you meanwhile found an example for sequences with terms a_n = b_n for every n but different limit?
Regards, WM