: a lemma in set theory: if a set S is partially ordered and if each subset for which every pair of elements is related by exactly one of the relationships "less than," "equal to," or "greater than" has an upper bound in S, then S contains at least one element for which there is no greater element in S compare axiom of choice

Word History


Max August Zorn †1993 German mathematician

First Known Use

circa 1950, in the meaning defined above

Time Traveler
The first known use of Zorn's lemma was circa 1950

Dictionary Entries Near Zorn's lemma

Cite this Entry

“Zorn's lemma.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Zorn%27s%20lemma. Accessed 25 Apr. 2024.

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