## Math

This section is a repository for a few of the results I've obtained while studying math, as well as
notes and definitions I wanted to write down. All of this data is available in a single XML file:

math.xml | math.xsd

math.xml | math.xsd

### Table of Contents

- Logic - The study of propositions and deductive reasoning.
- Number theory
- The study of numbers and their properties.
- Even and odd numbers - Definitions and hypotheses regarding even and odd numbers.
- Divisibility - Divisibility among the integers and natural numbers
- Natural Numbers - Properties of the set of positive integers.
- Integers - Properties of the integers.
- Rational Numbers - Properties of the rational numbers.
- Real Numbers - Properties of the real numbers.

- Sets
- Sets are unordered groups of distinct objects.
- Definitions - The definitions of sets and related terms.
- Hypotheses - Hypotheses and theorems related to sets.

- Functions
- Functions are sets of ordered pairs mapping from a domain to a codomain.
- Definitions - The definitions of functions and related terms.
- Hypotheses - Hypotheses and theorems related to functions.