Mathematics is a part of logic that is just about numbers and relationships between numbers.
Keys to analysis of numbers are conditional statements that are identities for a set of values for variables.
Identities are tautological statements with numbers. For example: 1 = 1
A conditional statement has variables for which is an identity.
For example: x2 + y2 = z2
Is a valid statement for x = 3, y = 4, and z = 5.
Then reduces to 25 = 25.
The sets of values for which a conditional statement is an identity are solution sets.
