Let's begin by looking at a few definitions that will help give a clearer understanding of what this section is about.
An axiom or postulate is a statement that is assumed to be true but is not supported by proof.
A theorem is a statement that has been proven true through the use of axioms, definitions, and other theorems.
A proof uses axioms in a logical order to show that a statement is true.
Natural numbers are the numbers we
use to count. For example: 1, 2, 3, 4...
Remember, when we count a group of objects, the first number we start with is 1, not zero.
Integers are positive and negative numbers on a number line.
For example:
Math: Axioms, Properties, and Rules
Below are some axioms, definitions, and rules for proving statements. Let's get started!