AXIOM

axiom

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

maxim, axiom

(noun) a saying that is widely accepted on its own merits

Source: WordNet® 3.1

Etymology

Noun

axiom (plural axioms or axiomata) (the latter is becoming less common and is sometimes considered archaic)

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

(logic, mathematics, proof theory) 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).

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

Synonyms

• (philosophy, mathematics): axioma (now rare)

• (logic, mathematics): postulate

Hypernyms

• (logic): well-formed formula, wff, WFF

Hyponyms

• (mathematics): axiom of choice, axiom of infinity, axiom of pairing, axiom of power set, axiom of regularity, axiom of union, completeness axiom, parallel axiom

Holonyms

• (logic): formal system

Anagrams

• amoxi

Source: Wiktionary

Ax"i*om, n. Etym: [L. axioma, Gr. that which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr. to think worthy, fr. worthy, weighing as much as; cf. to lead, drive, also to weigh so much: cf F. axiome. See Agent, a.]

1. (Logic & Math.)

Definition: 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."

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

Syn.

– Axiom, Maxim, Aphorism, Adage. An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application.

Source: Webster’s Unabridged Dictionary 1913 Edition