Foundations of Mathematics
What are some simple examples of axioms?
There are some very basic assertions when it comes to axioms. The following lists only a few classical axioms:
- Things which are equal to the same thing are also equal to each other.
- If equals be added to equals, the wholes are equal.
- If equals be subtracted from equals, the remainders are equal.
- Things that coincide with one another are equal to one another.
- The whole is greater than the part.