Re: The splendor of true

Am 09.03.2025 um 10:57 schrieb Moebius:

Am 09.03.2025 um 01:23 schrieb sobriquet:

Op 09/03/2025 om 00:54 schreef Richard Hachel:

 

A nice contributor pointed out that the imaginary universe based on i, which is an interesting idea to find roots to equations that do not have any,

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This is perhaps a misunderstanding on your part. Complex numbers will also crop up for polynomials that have real roots where you still need to deal with complex numbers in order to obtain these real roots.

 Actually, from a historical point of view, that was the first time a number - now called i - with the property i*i = -1 was used in calculations. So at least i (defined this way) *is* useful. (*sigh*)

"Tartaglia and his rival, Gerolamo Cardano, observed that, if they allowed negative square roots in their calculations, they could still give valid numerical answers (Real numbers, as mathematicians call them)."

https://www.sciencefocus.com/science/a-brief-introduction-to-imaginary- numbers
 Seems that Hachel is a complete idiot.