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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Log i = 0
Date: Tue, 27 May 2025 16:50:16 +0200
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On 26.05.2025 22:25, efji wrote:
> Le 26/05/2025 à 16:36, WM a écrit :
>> That is wrong. Present mathematics simply assumes that all natural 
>> numbers can be used for counting. But that is wrong.
> 
> What's the point ?
> It is the DEFINITION of "counting". A countable infinite set IS a set 
> equipped with a bijection onto \N.
> 
This bijection does not exist because most natural numbers cannot be 
distinguished as a simple argument shows.

All natural numbers can be manipulated collectively, for instance 
subtracted: ℕ \ {1, 2, 3, ...} = { }. Here all have disappeared.

Could all natural numbers be distinguished, then this subtraction could 
also happen but, caused by the well-order, a last one would disappear.

Regards, WM