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What the fuck is a number?
Okay so like this should be an easy enough question to answer, but of course it isn't cause when is anything ever simple on this godforsaken plane of existence.
Naturals
Let's start with the caveman shit, Natural Numbers (\mathbb{N}) (god I really hope latex renders here). This is the stuff every 3 year old knows, 1,2,3,\ldots. Seems basic enough because it is.
Just fucking kidding is 0 a natural number? who knows, I sure as shit don't.
Also, like what exactly is 0 or 1?
I mean if we want to use the Zermelo-Fraenkel definition,
0 = \{\}, 1 = \{0\}, 2 = \{0,1\}, \dotsad absurdum
Ordinals
Okay so baby steps, now that we have some semblance of a place to start, we can move onto the ordinals. The ordinals are basically numbers used for putting things in order. How are they different from the naturals?
Short answer: they aren't Long answer: ...for finite numbers
Cardinals
Aleph and Beth
Zero
Integers
Rationals
Algebraics?
Reals
Complex Numbers
Vectors
Matrices
2D Hypercomplex
Quaternions
Octonions and Sedenions
RGB
Color Charge
Surreal Numbers
Algebraic Structures
p-adics
Conclusion
Q: What the fuck is a number? A: A miserable pile of math