Axiom

/ˈæksiəm/
C1

Definition, CEFR level C1, pronunciation, examples, and quiz.

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nounA statement accepted as true without needing proof.

Extra definitions

nounA basic principle used in reasoning.

nounA rule that forms the starting point of a theory.

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

The proof begins with a simple axiom.
Honesty is an axiom of her philosophy.
The model relies on one central axiom.
Synonyms:
None
Antonyms:
None

From Middle French axiome in the 15th century, from Latin axiōma (“axiom; principle”), from Ancient Greek ἀξίωμα (axíōma, “that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle”), from ἀξιόω (axióō, “to think fit or worthy, to require, to demand”), from ἄξιος (áxios, “fit, worthy”, literally “weighing as much as; of like value”), from ἄγω (ágō, “to weigh (down)”).

“Neither can I reconcile this opinion of yours, with your argument brought from reaſon; if the axiom there laid down by you be true, it follows that, when matter began to exiſt in the divine mind, either matter became of the nature of the divine mind, i.e. active and intelligent, or elſe the divine mind became of the nature of matter, i.e. inert and unintelligent: this is a hard dilemma; have we not reaſon to ſuſpect that axiom?” — 1748 January, R. M., “To the Gent. who Signs Verax, V[olume] 17 p[age] 573. In Answer to His Defence of Mr Lyttelton's Expression, that Matter is not Inherent in the Deity.”, in “Sylvanus Urban” [pseudonym; Edward Cave], editor, The Gentleman's Magazine, and Historical Chronicle, volume XVIII, London: Printed by Edw[ard] Cave, at St John's Gate, →OCLC, page 15, column 2:
“Theoretical philosophy Plato divides into three branches, Theological, Physical, and Mathematical. On Theology, the fundamental doctrine of Plato, as of all other ancient philosophers, is, that from nothing nothing can proceed. This universal axiom, applied not only to the infinite efficient, but to the material cause, Plato, in his Timæus, lays down as the ground of his reasoning concerning the origin of the world.” — 1837, William Enfield, “Chapter VIII. Of the Academic Sect. Section I. Of Plato and His Philosophy.”, in The History of Philosophy, from the Earliest Periods: Drawn from Brucker's Historia Critica Philosophiæ, London: Printed for Thomas Tegg and Son, 73, Cheapside; R[ichard] Griffin and Co., Glasgow; Tegg and Co., Dublin; also, J. and S. A. Tegg, Sydney and Hobart Town, →OCLC, book II, pages 128–129:
CEFR Practice Quiz
The proof begins with a simple ____.

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