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Axiom is philosophy a seemingly which cannot actually be proved or disproved Lemma is mathematics a proposition proved or accepted for immediate use in the proof of some other propositions.
Axiom: a fundamental logical statement that you assume to be true in order to build a theory. ... Lemma: a true statement that can be proved (proceeding from other true statements or from the axioms) and that is immediately (or almost immediately) used to prove something more important (a theorem / proposition
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