[{"Bold_text": "verb (used with object)", "List Items": ["to ask, demand, or claim.", "to claim or assume the existence or truth of, especially as a basis for reasoning or arguing.", "to assume without proof, or as self-evident; take for granted.Synonyms: conjecture , presuppose , hypothecate", "Mathematics, Logic.to assume as a postulate."]}, {"Bold_text": "noun", "List Items": ["something taken as self-evident or assumed without proof as a basis for reasoning.Synonyms: conjecture , assumption , axiom , theory , hypothesis", "Mathematics, Logic.a proposition that requires no proof, being self-evident, or that is for a specific purpose assumed true, and that is used in the proof of other propositions; axiom.", "a fundamental principle.", "a necessary condition; prerequisite."]}]