Re: Simple enough for every reader?

On 2025-06-01 14:15:06 +0000, WM said:

On 01.06.2025 13:53, Mikko wrote:

On 2025-05-31 13:40:12 +0000, WM said:
 

On 31.05.2025 11:59, Mikko wrote:

On 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]

 Did Cantor acurally prove that with a complete induction? As far as
I have seen Cantor has proven what he promised to prove.

 Cantor often used induction: vollständige Induktion. But that is irrelevant.

Indeed. An answer to my question would have been relevant but you didn't
give any. Apparently you don't know whther or how Cantor proved what he
claimed in the sentence that is partially quoted. As there is no complete
sentence in the quoted text fragemnt it is hard to say what exacly he was
going to do but I can't imagine any completion of the sentence that does
not promise to use complete induction for something.
--
Mikko