noun
C2
Proficient
axiom
AK-see-uhm
Axiom (noun) means a statement accepted as true without proof, used as a starting point from which other results are derived. Example: “Euclid built his geometry on five axioms.”
noun
1
A statement accepted as true without proof, used as a starting point from which other results are derived.
"Euclid built his geometry on five axioms."
"If you change one axiom, the whole system that follows it changes with it."
2
A saying or principle that is widely regarded as obviously true.
"He lived by the old axiom that you should never lend what you cannot afford to lose."
"It is an axiom of the trade that the last ten per cent takes the longest."
How to use axiom
Learner’s notesIn plain EnglishSomething taken as true from the start, without needing proof.
When to use it
Formal. The mathematical sense is technical and precise; the everyday sense is closer to a well-worn saying. The adjective is axiomatic.
Memory tip
An axiom is assumed; a theorem is proved from axioms. If someone asks you to demonstrate an axiom, you have misidentified it.
Trace the full origin ↓
Easily confused with
Common pairings
basic axiom
axiom of choice
self-evident axiom
it is an axiom that
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Euclid built his geometry on five _____.
Etymology
From Greek axioma 'that which is thought worthy or self-evident', from axios 'worthy'.
Synonyms
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Related words
Rhymes for axiom
See all rhymes for axiom →Frequently asked questions
What is the difference between an axiom and a theorem?
An axiom is assumed without proof and forms the foundation of a system. A theorem is a statement proved by reasoning from the axioms. Mathematics works by keeping the axioms few and explicit, then deriving as much as possible from them.
What is the difference between an axiom and a hypothesis?
An axiom is adopted as a fixed starting point and is not tested within the system that uses it. A hypothesis is a provisional claim put forward precisely so it can be tested and possibly rejected.
What is the meaning of axiom?
"axiom" (noun) means a statement accepted as true without proof, used as a starting point from which other results are derived.
What is another word for axiom?
Other words for "axiom" include postulate, premise, first principle, given, maxim, adage.
