to ask, demand, or claim.

to claim or assume the existence or truth of, esp. as a basis for reasoning or arguing.

to assume without proof, or as self-evident; take for granted.

Mathematics, Logic . to assume as a postulate.

something taken as self-evident or assumed without proof as a basis for reasoning.

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.

noun

postulate , premise , presupposition , supposition , theory , thesis