Re: Collatz conjecture question

Am 24.03.2025 um 18:11 schrieb Python:

Le 24/03/2025 à 16:58, Richard Hachel a écrit :

I set i° = -1, i² = -1, (i²)² = -1

 Your "postulate" can be disputed, like all postulate. As it is inconsistent (it leads to contradiction) it has to be rejected. PERIOD.

Indeed.
 From Hachel's postulates we get: i² = -1 and hence (-1)² = (i²)² = -1. But (-1)² = (-1)*(-1) = 1 (and 1 =/= -1) (following "standard" math).
Again, from his claim "i^x = -1" (for all "numbers" x), we might get i = i^1 = -1 (since 1 certainly might be a "number"). Hence: i = -1. But then i² = i * i = (-1)*(-1) = 1 (following "standard" math). While one of Hachel's postulates is i² = -1. [...]