Axioms
An axiom in mathematics and logic, is a general statement accepted without proof as the
basis for logically deducing other statements (theorems). Examples of axioms used widely in
mathematics are those related to equality.
It is sometimes said that an axiom is a "self-evident" statement, but the
truth of the statement might not be evident and may even seem to contradict
common sense.
A statement may be an axiom in one deductive system and may instead be
derived from other statements in another system.
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