axiom

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[edit] English

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[edit] Etymology

From Middle French axiome, from Ancient Greek ἀξίωμα (aksiōma, that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle), from ἀξίοῦν (aksioun, to think fit or worthy, require, demand), from ἄξιος (aksios, worthy, fit, literally weighing as much as, of like value), from ἄγω (agō, I drive).

[edit] Noun

axiom (plural axioms or axiomata)

  1. (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proven or dis‐proven.
    • 1999, Bertrand Russell, Charles R. Pigden, Russell on Ethics[1]:
      Can we then find axioms as self-evident as those of Arithmetic, on which we can build as on a sure foundation, which could be shaken only by a scepticism which should attack the whole fabric of our knowledge?
  2. (mathematics) A fundamental theorem that serves as a basis for deduction of other theorems. Example: "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines".
  3. An established principle in some artistic practice or science that is universally received.
The axioms of political economy cannot be considered absolute truths.

[edit] Usage notes

An alternative plural form axiomata is very rarely used in English.

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[edit] Czech

[edit] Noun

axiom m.

  1. axiom

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[edit] Swedish

[edit] Noun

axiom n.

  1. axiom

[edit] Declension

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