Word.ws English Dictionary

Plural of axiom

regular plural

The plural of axiom is axioms or axiomata.

Forms of axiom

Singularaxiom /ˈak.sɪ.əm/
Pluralaxioms
axiomata /æksɪˈəʊmətə/
Countablecountable

Axioms and axiomata in a sentence

  • 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?1999, Bertrand Russell, edited by Charles R. Pigden, Russell on Ethics: Selections from the Writings of Bertrand Russell, London; New York...
  • The axioms read as follows.1992, Colin McLarty, “Rudimentary Structures in a Category”, in Elementary Categories, Elementary Toposes (Oxford Logic Guides; 21)...
  • Only formal proofs, which derive theorems logically from their given axioms, are considered satisfactory in modern mathematics.From the entry formal
  • S has no axiom of extensionality and identity is absent from the other S axioms.From the entry s
  • But the ZF axioms of which the hierarchy is an intuitive model involve impredicative quantifications.2011, Adam Rieger, “9: Paradox, ZF, and the Axiom of Foundation”, in David DeVidi, Michael Hallett, Peter Clark, editors, Logic…. From the entry axiom of power set

Meaning of axiom

  1. noun A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
  2. noun 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).
  3. noun An established principle in some artistic practice or science that is universally received.

Full definition of axiom

Questions about the plural of axiom

What is the plural of axiom?
The plural of axiom is axioms or axiomata.
Which is correct, axioms or axiomata?
Both are used. axioms is the more common of the two in English writing.
Is axiom countable?
Axiom is a countable noun.

Source and license

Adapted from Wiktionary: axiom (page history and authors) and the entries of its forms. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws left out forms marked obsolete, archaic, rare or dialectal and added the examples. Wiktionary data of 2026-09-02.

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