Re: New way of dealing with complex numbers

Le 08/03/2025 à 14:07, Richard Hachel a écrit :

Le 08/03/2025 à 13:20, Python a écrit :

Le 07/03/2025 à 19:00, Richard Hachel a écrit :

 

Mathematicians pose i²=-1 and sqrt(i)=-1.

 

What you claimed above is "Mathematicians pose i²=-1 and sqrt(i)=-1." was not about your "system" (which does not even exists as it is inconsistant), you wrote that some "mathematicians" would have "posed" that sqrt(i) = -1. This is factually WRONG.

  To me, it's not wrong.

Do you even read what you wrote ? You wrote that "mathematicians" "poses" sqrt(i) = -1, it was not a claim about your inconsistent system but a claim about the "standard" complex numbers system. And, as such, it is WRONG, factually WRONG.

 i²=-1, sqrt(i)=-1, i^5347=-1, i°=-1.
  i^x=-1.
  To me, is a new definition. More general, more beautiful, more universal, more true.

Because of your pathological egotism you fail to notice that this is trivially inconsistent.
i^x = -1 leads to direct contradiction in a lot of ways:
if i^1 = i = -1 THEN i^2 = 1 =/= -1 : contradiction!
if i^2 = -1 THEN i^4 = (i^2)^2 = (-1)^2 = 1 =/= -1 : contradiction again!
Math is not a fairy tale. You cannot assume a inconsistent property.