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Am Fri, 04 Jul 2025 14:32:55 +0200 schrieb WM:An argument showing that he could support his beliefs with proofs.On 04.07.2025 09:51, Mikko wrote:On 2025-07-03 13:08:25 +0000, WM said:Dunno, what do you want?There is no proof of an actual infinity. How should that work?Cantor's beliefs have induced a large filed of mathematics.Only becase he could support his beliefs with proofs.
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.And it does! Twice infinite is just infinite again. No contradiction.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.
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