1
: a statement accepted as true as the basis for argument or inference : postulate sense 1
one of the axioms of the theory of evolution
2
: an established rule or principle or a self-evident truth
cites the axiom "no one gives what he does not have"
3
: a maxim widely accepted on its intrinsic merit
the axioms of wisdom
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In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful. “Nothing can both be and not be at the same time and in the same respect” is an example of an axiom. The term is often used interchangeably with postulate, though the latter term is sometimes reserved for mathematical applications (such as the postulates of Euclidean geometry). It should be contrasted with a theorem, which requires a rigorous proof.
Examples of axiom in a Sentence
one of the key axioms of the theory of evolution
Recent Examples on the Web
Whereas neoclassical economics presented itself as a universally applicable science based on certain fundamental axioms, Dobb emphasized history, class conflict, and imperialism.
—
John Cassidy, The New Yorker, 2 Nov. 2024
But underneath all of these more intricate structures is that same original group idea, with its four axioms.
—Leila Sloman, WIRED, 6 Oct. 2024
And these are always clearly defined by the axioms.
—Manon Bischoff, Scientific American, 1 Oct. 2024
Rogers’ political axioms of healthy skepticism, perspicacity and civility remain useful guides for surviving even the most sordid electioneering.
—Steven Watts, The Conversation, 23 Sep. 2024
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John Cassidy, The New Yorker, 2 Nov. 2024
But underneath all of these more intricate structures is that same original group idea, with its four axioms.
—Leila Sloman, WIRED, 6 Oct. 2024
And these are always clearly defined by the axioms.
—Manon Bischoff, Scientific American, 1 Oct. 2024
Rogers’ political axioms of healthy skepticism, perspicacity and civility remain useful guides for surviving even the most sordid electioneering.
—Steven Watts, The Conversation, 23 Sep. 2024
See all Example Sentences for axiom
Dictionary Entries Near axiom
Cite this Entry
“Axiom.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/axiom. Accessed 22 Nov. 2024.
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axiom
noun
ax·i·om
ˈak-sē-əm 
: a rule or principle widely accepted as obviously true and not needing to be proved
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