axiom of choice
noun phrase
: an axiom in set theory that is equivalent to Zorn's lemma: for every collection of nonempty sets there is a function which chooses an element from each set
Examples of axiom of choice in a Sentence
Recent Examples on the Web
And therefore, the axiom of choice shouldn’t be accepted.
—
Steven Strogatz, Quanta Magazine, 19 Apr. 2023
That is, if the axioms of ZFC without the axiom of choice are consistent, then so too is the set of axioms of ZFC with the axiom of choice.
—Steven Strogatz, Quanta Magazine, 19 Apr. 2023
So the axiom of choice is — this is another can of worms here.
—Steven Strogatz, Quanta Magazine, 19 Apr. 2023
Steven Strogatz, Quanta Magazine, 19 Apr. 2023
That is, if the axioms of ZFC without the axiom of choice are consistent, then so too is the set of axioms of ZFC with the axiom of choice.
—Steven Strogatz, Quanta Magazine, 19 Apr. 2023
So the axiom of choice is — this is another can of worms here.
—Steven Strogatz, Quanta Magazine, 19 Apr. 2023
These examples are programmatically compiled from various online sources to illustrate current usage of the word 'axiom of choice.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.
Dictionary Entries Near axiom of choice
Cite this Entry
“Axiom of choice.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/axiom%20of%20choice. Accessed 24 Apr. 2024.
Copy CitationLove words? Need even more definitions?
Merriam-Webster unabridged
Share