website/src/content/blog/_drafts/numbers.md
2024-07-10 22:14:34 -04:00

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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