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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Mon, 9 Dec 2024 15:40:48 +0100
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On 08.12.2024 21:22, joes wrote:
> Am Tue, 03 Dec 2024 12:10:53 +0100 schrieb WM:
>> On 03.12.2024 11:03, Mikko wrote:
>>
>>> I understand mathematics
>> Hardly, though you may have the impression.
>> Proof: You cannot understand that the function f(10n) = n from D = {10n
>> | n ∈ ℕ} to ℕ = {1, 2, 3, ...} is not a bijection because for every
>> initial segment {1, 2, 3, ..., n} of ℕ there are too few numbers of the
>> form 10n that can be paired with numbers n.
> Wow. For every segment there are numbers {10, 20, …, 10n}.

But for every segments more are needed: {1, 2, 3, ..., 10n}

Regards, WM