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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: The non-existence of "dark numbers"
Date: Thu, 3 Apr 2025 23:55:12 +0200
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Am 03.04.2025 um 23:54 schrieb Moebius:
> Am 03.04.2025 um 22:05 schrieb Alan Mackenzie:
> 
>>> Do you think that Cantor was wrong?
>>
>> That has no connection or relevance to my point, which you have evaded
>> addressing.  I don't think Cantor was wrong, in general.  But I do think
>> you base your mathematical thinking on faulty intuition, and not on the
>> axioms and logic which have chrystallised out of a lot of very clever
>> thinking over the last few centuries.
> 
> [Bolzano, Cantor, Dedekind, Frege, Peano,] Russell, Zermelo, Fraenkel, 
> Skolem, von Neumann, Bernays, Gödel, ... etc.

"It is not for nothing, after all, that set theorists resort to the 
axiomatic method. Intuition here /is/ bankrupt." (W.V.O. Quine, Set 
Theory and its Logic)