To take without express consent; to assume.

A basic assumption that is accepted without proof

(noun) an assumption used as premise for deductive inference, or (verb) the act of adopting a postulate (alternatively, posit). This term is sometimes (e.g. in Aristotle) used when it is intended to avoid assertion of the truth of the postulate, otherwise the term axiom may be used (which sometimes, e.g. in Aristotle, suggests truth, but sometimes not e.g. in Hilbert).

(logic) a proposition that is accepted as true in order to provide a basis for logical reasoning

maintain or assert; "He contended that Communism had no future"

take as a given; assume as a postulate or axiom; "He posited three basic laws of nature"

an axiom taken a priori as true, upon which is built a hypothesis or theory

a premise or a basic requirement that is assumed, but not proved

a presumed fact, something that is given as true without proof, or it can be a requirement or prerequisite for something

a proposition that is accepted without proof

a proposition with a truth content which you did not derive from any earlier set of propositions by logical reasoning, but whose validity you accept as an input into the subject that you are developing

a self-created truth.

(noun) A hypothesis advanced as an essential presupposition, condition, or premise of a train of reasoning.

v. to suppose to be true or real as the first step in proving an argument; to assume truth without proof; take for granted.

Assumption necessary to further pursue a theory

a 'transcendent' 'idea' that we must regard as true, even in the absence of 'theoretical' proof, because it is 'practically' necessary to justify living a moral life. Kant's moral argument postulates God's existence, but does not claim to prove it.

A statement that is accepted without proof.

A hypothesis that requires no proof to support its claim.

A statement accepted without proof (Lesson 15.1).

The term postulate, or axiom, indicates a statement or assumption that is agreed by everyone to be so obvious or self-evident that no proof is necessary, and which can be used to prove other statements or theorems. Neither axioms nor postulates can be proven (within a system) using more basic statements. However, in many elementary textbooks, where the student does not have the training to understand a more rigorous approach, many otherwise-provable statements are accepted as postulates to allow further development of the subject.