Aphorism vs. Axiom

Aphorismnoun

An original, laconic phrase conveying some principle or concept of thought.

Aphorismverb

To speak or write aphorisms.

Aphorismnoun

A comprehensive maxim or principle expressed in a few words; a sharply defined sentence relating to abstract truth rather than to practical matters.

Aphorismnoun

a short pithy instructive saying

Aphorism

An aphorism (from Greek ἀφορισμός: aphorismos, denoting 'delimitation', 'distinction', and 'definition') is a concise, terse, laconic, or memorable expression of a general truth or principle. They are often handed down by tradition from generation to generation.

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.