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Mira 2025-12-21 14:10:18 -05:00
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@ -5,19 +5,20 @@ title: Numbers aren't real and can hurt you
# Numbers aren't real and can hurt you
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.
Okay so like the question of 'What is a number' _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.
Let's start with the caveman bits, **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.
Just fucking kidding is $0$ a natural number? who knows, I sure as hell 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
[Naturals](#Naturals)
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?
@ -28,8 +29,6 @@ Long answer: ...for finite numbers
### Aleph and Beth
## Zero
## Integers
## Rationals