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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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