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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Hello!
Date: Sun, 19 Jan 2025 12:09:12 +0100
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Am 19.01.2025 um 12:04 schrieb Moebius:
> 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.
> 
>> 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.
> 
> Hint: If it were 1 or -1 we would get i² = 1 (in bot cases).

Of course, such a number does not exist in the real number field. But 
there is such a number in the complex number field:

"In mathematics, a complex number is an element of a number system that 
extends the real numbers with a specific element denoted i, called the 
imaginary unit and satisfying the equation i² = -1; ..."

See: https://en.wikipedia.org/wiki/Complex_number

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> .
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