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.
2 comments:
This seems to be a definition of arithmetic, or possibly number theory, but not mathematics.
It doesn't include for example, sporadic groups, lambda calculus, qualitative theory of differential equations, or geometry.
Arithmetic involves plus operator with members of the set of integers.
So your comment indicates a lack of understanding of arithmetic plus knowing lots of mathematical terms with no indication you understand any of those either.
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