postulate, posit (verb)

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

contend, postulate (verb)

maintain or assert

"He contended that Communism had no future"

postulate, posit (verb)

take as a given; assume as a postulate or axiom

"He posited three basic laws of nature"

necessitate, ask, postulate, need, require, take, involve, call for, demand (verb)

require as useful, just, or proper

"It takes nerve to do what she did"; "success usually requires hard work"; "This job asks a lot of patience and skill"; "This position demands a lot of personal sacrifice"; "This dinner calls for a spectacular dessert"; "This intervention does not postulate a patient's consent"

postulate (Noun)

Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument.

postulate (Noun)

A fundamental element; a basic principle.

postulate (Noun)

An axiom.

postulate (Noun)

A requirement; a prerequisite.

postulate (Verb)

To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.

postulate (Verb)

To appoint or request one's appointment to an ecclesiastical office.

postulate (Verb)

To request, demand or claim for oneself.

postulate

An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning.In mathematics, an axiom may be a "logical axiom" or a "non-logical axioms". Logical axioms are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (A and B) implies A), while non-logical axioms (e.g., a + b = b + a) are substantive assertions about the elements of the domain of a specific mathematical theory, such as arithmetic. Non-logical axioms may also be called "postulates" or "assumptions". In most cases, a non-logical axiom is simply a formal logical expression used in deduction to build a mathematical theory, and might or might not be self-evident in nature (e.g., the parallel postulate in Euclidean geometry). To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there are typically many ways to axiomatize a given mathematical domain. Any axiom is a statement that serves as a starting point from which other statements are logically derived. Whether it is meaningful (and, if so, what it means) for an axiom to be "true" is a subject of debate in the philosophy of mathematics.