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
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And therefore, the axiom of choice shouldn’t be accepted.
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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
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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
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“Axiom of choice.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/axiom%20of%20choice. Accessed 22 Dec. 2024.
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