Sujet : Re: Log i = 0
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 26. May 2025, 21:05:18
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <1012hht$26066$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
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