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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Mon, 4 Nov 2024 18:24:43 +0100
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On 04.11.2024 13:26, Richard Damon wrote:

> Yes, we know if you will double them again, as we started with the 
> assumption that we double ALL the number, and any even number will be 
> reached from doubling the number that is one half of it and will be 
> doubled again.

Please mark the sentence which you suspect to be wrong:

- All natural numbers exist.
- The even numbers have only half of the substance(*) of the integers.
- Multiplication of all elements of a set does not change the substance.

(*) For every interval (0, 2n] the number E of even natnumbers is half 
of the number N of natnumbers: E/N = 1/2. For (0, oo] we obtain the 
limit of the sequence 1/2, 1/2, 1/2, ... which is 1/2. This is the ratio 
of the substances or, as Cantor called it, the reality.

Regards, WM