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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Hello!
Date: Sun, 19 Jan 2025 17:04:38 +0100
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Am 19.01.2025 um 16:50 schrieb Moebius:
> Am 19.01.2025 um 16:39 schrieb Moebius:
>> Am 19.01.2025 um 16:30 schrieb Richard Hachel:
>>> Le 19/01/2025 à 15:28, Moebius a écrit :
>>>> Am 19.01.2025 um 12:37 schrieb Richard Hachel:
>>>
>>>> Complex numbers can be defined as (ordered) pairs of real numbers.
>>>>
>>>> Then
>>>>          i := (0, 1) .
>>>>
>>>> Hence i =/= 1 and i =/= -1.
>>>
>>> No.
>>
>> Yes.
> 
> Hint: Then (in this context) i * i = (0, 1) * (0, 1) = (-1, 0), the 
> latter is "identified" with -1, hence we may write:
> 
>                   i^2 = -1 .
> 
> That's exactly what we want.

Hint: No "extremely fine mathematical error" at all.

On the other hand, this one is an "extremely severe mathematical error":

>>> i = 1 = -1
>>
>> Hear, hear, hence 1 = -1 now?
>>
>> Fuck off, idiot!
>