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On 2025-05-31 13:40:12 +0000, WM said:Cantor often used induction: vollständige Induktion. But that is irrelevant. It only shows that your claims forbidding the use of induction in ℕ are void.
On 31.05.2025 11:59, Mikko wrote:Did Cantor acurally prove that with a complete induction? As far asOn 2025-05-30 14:25:22 +0000, WM said:>>Here I use induction in Cantor's set. That is allowed. Cantor did it too.>
No, there is no artithmetic induction and no set induction there.
"daß die Reihe
1, i2, i3, ..., i, ...
nur eine Permutation der Reihe
1, 2, 3, ..., , ...
ist. Dies beweisen wir durch vollständige Induktion,"
[Cantor, collected works, p. 305]
I have seen Cantor has proven what he promised to prove.
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