website/content/posts/numbers.md

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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\}, \dots ad 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