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the punchline comes before the joke.
what’s the worst part about time travel jokes?
I remember a very beautiful line my teacher told me
Its translated so it might not be as good
‘It’s not necessary for everything to have a meaning, but everything does bring meaning if you know how to use it’
Complex numbers are as real as the Real numbers.
For that matter, the real numbers are fake as fuck. “Ah yes, let’s just throw in uncountably many non-computable numbers.” They have played us for absolute fools.
Big math is laughing at us right now
The fact that you can’t solve any real life electro-magnetism problem without them kinda put an end to that complex shaming nonsense.
Yet there are still people to miss the absolute poetry of their story.
In 1545, an Italian genius called Gerolamo Cardano was pissed he couldn’t solve square root of negative number.
« Fine! I’ll make it myself » he said, before sending everyone to hell.
He then invented an imaginary number i whose square would be -1.
It wasn’t until centuries later that another famous genius named Leonhard Euler found a practical use of those numbers.
Without those numbers we would still be living like 1800´s peons.
In 1545, an Italian genius called Gerolamo Cardano was pissed he couldn’t solve square root of negative number.
Iirc, it was while trying to solve cubic polynomials, that he found out that accepting the existence of sqrt(-1) let him solve them.
It’s sorta strange that complex numbers seem to be basically used as an ersatz coordinate system.
complex numbers are just numbers in a plane instead of a line. saying you don’t believe in i is like saying you don’t believe in “up”
