In mathematics, the word axiom is used in two related but different meanings-logical axiom and illogical axiom. In both senses, axioms are the starting point for deducing other propositions. Unlike theorems, an axiom (unless it is redundant) cannot be deduced from other axioms, otherwise it is not the starting point itself, but some kind of result that can be obtained from the starting point-it can be simply classified as a theorem.