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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Simple enough for every reader?
Date: Fri, 4 Jul 2025 15:36:43 +0200
Organization: A noiseless patient Spider
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On 04.07.2025 14:55, joes wrote:
> Am Fri, 04 Jul 2025 14:32:55 +0200 schrieb WM:
>> On 04.07.2025 09:51, Mikko wrote:
>>> On 2025-07-03 13:08:25 +0000, WM said:
> 
>>>> Cantor's beliefs have induced a large filed of mathematics.
>>> Only becase he could support his beliefs with proofs.
>> There is no proof of an actual infinity. How should that work?
> Dunno, what do you want?

An argument showing that he could support his beliefs with proofs.
> 
>>> Mathematicians don't care about beliefs but they do care about proofs.
>> His "proofs" contradict mathematics, according to which in every
>> interval (0, n] and i the limit there are twice as many natural nu8mbers
>> as eve numbers. Every correct counting method must confirm this result.
> And it does! Twice infinite is just infinite again. No contradiction.

Twice is twice in every interval. The infinite can be subdivided into 
infinitely many intervals, each of which has twice as many natural 
numbers as even numbers. This proves that a bijection of all is impossible.

Regards, WM