From the archives (2018). Early writing, preserved as-is.

Numbers

These are the basic properties of numbers we use on a day-to-day basis. They may seem obvious at first, but sit tight it will get complicated.

The rules of addition are outlined as follow:

Commutative Law for Addition

For any $a, b \in \mathbb Z$, it follows that:

This states that the order in which you add two numbers does not matter.

Existence of an Additive Identity

For any $a \in \mathbb Z$, it follows that:

This states that there is some number you can add to any number that does not alter the result.

Existence of Additive Inverses

For any $a \in \mathbb Z$, it follows that:

This means that any numbers has another number that can be added to give you zero.

Associative Law for Addition

For any $a, b, c \in \mathbb Z$, it follows that:

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