Definition of axiom in English:



  • 1A statement or proposition which is regarded as being established, accepted, or self-evidently true.

    ‘the axiom that sport builds character’
    • ‘Not that any political party cannot be expected to share the motherhood-and-apple-pie axiom that crime is a bad thing.’
    • ‘But at some point, you must reach what one might call a moral axiom that you can't logically demonstrate.’
    • ‘It is an axiom that every research establishment is strong to the extent of an unbreakable link existing between different generations.’
    • ‘However the axiom that the quality and cost of the food in a revolving restaurant is in inverse proportion to the height of the tower doesn't apply here.’
    • ‘I used to live by the axiom that it's easier to warm up in the cold than cool off in the heat.’
    • ‘It is a well-accepted axiom that the software ‘industry’ grew largely because of government indifference, not its help.’
    • ‘It was an axiom that Ireland assimilated settlers in one generation.’
    • ‘We all know the old axiom that writers are, by their very nature, liars.’
    • ‘I decline to accept as an axiom that our fate is involved in that of France.’
    • ‘In few other areas of the law is there greater truth to the axiom that ‘justice delayed is justice denied.’’
    • ‘I start from the simple axiom that I own myself, that my life belongs to me and not to someone else.’
    • ‘It is now an axiom that the overwhelming power of the American military machine has reshaped international affairs.’
    • ‘The taller the man, the bigger the hands is an axiom that doesn't necessarily hold true for wide receivers.’
    • ‘There's an old axiom that ‘Duty is heavier than a mountain, death is lighter than a feather.’’
    • ‘With so much going on, there is an axiom that if you visit NY for a day you will see most of what you want; for a week, some of what you want; and if you live there, you will see none of it.’
    • ‘We have all heard the very true axiom that bookmakers really don't care who wins any given game, as long as there are equal amounts wagered on both sides.’
    • ‘It is an axiom that justice must not only be done, it must be seen to be done.’
    • ‘This story out of USA Today makes false the axiom that lightning never strikes the same place twice.’
    • ‘The film is above all a mediation on the optimistic axiom that ‘life goes on’.’
    • ‘It has long been an axiom that history is re-written by each generation in terms that make sense to it.’
    accepted truth, general truth, dictum, truism, principle
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    1. 1.1Mathematics A statement or proposition on which an abstractly defined structure is based.
      • ‘Robert Simson of Glasgow University had, in his 1756 edition of the Elements, given a proof of the parallel axiom based on another assumption.’
      • ‘In 1904 he gave axioms for a boolean algebra then later, in 1933, he showed that a boolean algebra could be defined in terms of a single binary and a single unary operation.’
      • ‘He sees mathematics as ontology and so his return to philosophy is to a systematic one based on the axioms of set theory.’
      • ‘Gödel showed, in 1940, that the Axiom of Choice cannot be disproved using the other axioms of set theory.’
      • ‘The second chapter presents a development of absolute and Euclidean geometry based on Hilbert's axioms.’


Late 15th century: from French axiome or Latin axioma, from Greek axiōma ‘what is thought fitting’, from axios ‘worthy’.