Re: i²=-1

Le 15/02/2025 à 22:50, Alan Mackenzie a écrit :

Richard Hachel <r.hachel@tiscali.fr> wrote:

You're a crank and a troll.

 Absolutely not.

i^4 = 1.  NOT -1.

 :))

If you want a number x such that x^4 = -1, then there
are four solutions, one of which is (1 + i)/SQRT(2).

 x^4=-1 ---> (-i)^4=-1  Look here:
 <http://nemoweb.net/jntp?92O42tWelD0-9rH-SLxG3UP-8fM@jntp/Data.Media:1>
 

 

Basically, it was necessary to introduce the following notion, well more efficient than a simple i²=-1 which explains nothing, and explaining nothing at all of its
mathematical being, becomes very dangerous to use unconsciously.

 Why don't you just go away?

   I mean that as a general rule, science and mathematics have very fair, very precise, and very beautiful rules.
But not always.
I know of two cases where it would seem that science makes serious blunders. I have already explained them, but it seems that many
do not think this "theologically" possible, because it is a matter of faith.
To say that there are sometimes errors in things that are apparently simple, is beyond imagination.

 

Basically, we must state: the number i is a complex which has the particularity of being such that, for all x, i^x=-1.

 

Similarly for all x, 1^x=1, i^x=-1.

 You'd do far better actually to study some mathematics, then you would
see why what you're writing is just non-sensical.

 C'est le contraire qui est vrai, mais cela ne se passe jamais.
 Il faudrait d'abord lire attentivement ce que j'écris, et tester si ce que je dis est cohérent. Si cela a une logique interne. Si cela a une logique interne, il faut approfondir la question, et se demander où je critique, et POURQUOI, je critique.
 On ne le fait jamais. R.H.