Axiom vs. Postulate

Axiomnoun

(philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.

Axiomnoun

A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).

Axiomnoun

An established principle in some artistic practice or science that is universally received.

Axiomnoun

A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

Axiomnoun

An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.

Axiomnoun

a saying that widely accepted on its own merits

Axiomnoun

(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident

Axiomnoun

a statement or proposition which is regarded as being established, accepted, or self-evidently true

Axiomnoun

a statement or proposition on which an abstractly defined structure is based.

Axiom

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 Greek axíōma (ἀξίωμα) 'that which is thought worthy or fit' or 'that which commends itself as evident.'The term has subtle differences in definition when used in the context of different fields of study.

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.