Re: Hello!

Le 19/01/2025 à 12:04, Moebius a écrit :

Am 19.01.2025 um 08:51 schrieb Richard Hachel:
 

But nevertheless, I continue to certify that there is an extremely fine mathematical error, at the moment when physicists pose
i²=-1 to quickly simplify what seems a convenient operation.

 Nope. i² = -1 was not invented/introduced by physicists, but by mathematicians.

Yes, I made a slip of the tongue.
:))

 

Because as long as we do not know what i is worth, which can be BOTH equal to 1 or -1 in this imaginary mathematics, we [...]

 i is neither 1 nor -1.

I consider (I could be wrong) that this is a case where we do not know what i is worth, and we hesitate between two values.
In short, that for the moment, i is "imaginary", and can take two values.
It is neither 1 nor -1, but both at the same time potentially, and its square is (1)(-1)=1.
Which means that z is also a number and that it can take two values ​​at the same time.
Example z=16+9i gives z=25 AND 7 at the same time.
See the example of the Plougastel college where we do not know which class we are talking about because the class is occupied by both 25 students in the morning and 7, who come to the evening class.

 Hint: If it were 1 or -1 we would get i² = 1 (in bot cases).

 It' that I said.
 R.H.