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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Log i = 0
Date: Mon, 26 May 2025 22:05:18 +0200
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On 26.05.2025 16:59, FromTheRafters wrote:
> on 5/26/2025, WM supposed :
>> On 25.05.2025 19:03, efji wrote:

>>> Yes, there is no certainty in science, EXCEPT in maths !
>>> Take any maths book or article, take any proposition entitled 
>>> "Theorem", you know that it is true forever, without any doubt and 
>>> without any chance that somebody in 1000 years in the future could 
>>> disprove it, whatever "science" will be at this time.
>>
>> That is wrong. Present mathematics simply assumes that all natural 
>> numbers can be used for counting. But that is wrong.
> 
> No, you simply misunderstand what countability means.

"If we think the numbers p/q in such an order [...] then every number 
p/q comes at an absolutely fixed position of a simple infinite sequence" 
[E. Zermelo: "Georg Cantor – Gesammelte Abhandlungen mathematischen und 
philosophischen Inhalts", Springer, Berlin (1932) p. 126]

"The infinite sequence thus defined has the peculiar property to contain 
the positive rational numbers completely, and each of them only once at 
a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov 1883)]

Regards, WM