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.
The set of all rational numbers has zero size in the real numbers. And yet, they’re fucking dense, meaning you can find a rational arbitrarily close to any real number. I mean, what the fuck?
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 set of all rational numbers has zero size in the real numbers. And yet, they’re fucking dense, meaning you can find a rational arbitrarily close to any real number. I mean, what the fuck?
That’s it, I’m Amish now. I use inches and fractions of inches, and that’s as far as my numbers need to take me
Their subset, irrational numbers, is somehow worse
“there are as many even/odd/prime/composite numbers as there are numbers”
g(63)? TREE(3)? BB(10^100)? Rayo’s Number? Fuck outta here with that fake bullshit
Yeah TREE(3) is so big, how can you possibly know that there are that many evens??
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.
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.
Not only that, but their existence is implied wven when working just with real numbers!
I can’t tell if this is supposed to be a joke
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”