Theorem vs. Postulate

Theoremnoun

(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.

Theoremnoun

A mathematical statement that is expected to be true

Theoremnoun

(logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.

Theoremverb

(transitive) To formulate into a theorem.

Theoremnoun

That which is considered and established as a principle; hence, sometimes, a rule.

Theoremnoun

A statement of a principle to be demonstrated.

Theoremverb

To formulate into a theorem.

Theoremnoun

a proposition deducible from basic postulates

Theoremnoun

an idea accepted as a demonstrable truth

Theorem

In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system.

Postulatenoun

Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.

Postulatenoun

A fundamental element; a basic principle.

Postulatenoun

(logic) An axiom.

Postulatenoun

A requirement; a prerequisite.

Postulateadjective

Postulated.

Postulateverb

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

Postulateverb

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

Postulateverb

To request, demand or claim for oneself.

Postulatenoun

Something demanded or asserted; especially, a position or supposition assumed without proof, or one which is considered as self-evident; a truth to which assent may be demanded or challenged, without argument or evidence.

Postulatenoun

The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.

Postulateadjective

Postulated.

Postulateverb

To beg, or assume without proof; as, to postulate conclusions.

Postulateverb

To take without express consent; to assume.

Postulateverb

To invite earnestly; to solicit.

Postulatenoun

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

Postulateverb

maintain or assert;

Postulateverb

take as a given; assume as a postulate or axiom;

Postulateverb

require as useful, just, or proper;

Postulateverb

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief

Postulateverb

(in ecclesiastical law) nominate or elect (someone) to an ecclesiastical office subject to the sanction of a higher authority

Postulatenoun

a thing suggested or assumed as true as the basis for reasoning, discussion, or belief

Postulatenoun

an assumption used as a basis for mathematical reasoning.