trans·​fi·​nite | \ (ˌ)tran(t)s-ˈfī-ˌnīt How to pronounce transfinite (audio) \

Definition of transfinite

1 : going beyond or surpassing any finite number, group, or magnitude
2 : being or relating to the cardinal and ordinal numbers of infinite sets

Examples of transfinite in a Sentence

Recent Examples on the Web This class comprises integers, real numbers, transfinite numbers and infinitesimals—a structure that no one previously imagined was possible in which everything can be added, multiplied, and so on. Jean-paul Delahaye, Scientific American, 28 Apr. 2021 Interestingly enough, Kruskal's tree theorem required non-finite mathmatics to prove, using advanced techniques such as transfinite arithmetic and ordinal numbers. Jay Bennett, Popular Mechanics, 20 Oct. 2017

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'transfinite.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of transfinite

1902, in the meaning defined at sense 1

History and Etymology for transfinite

German transfinit, from trans- (from Latin) + finit finite, from Latin finitus

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The first known use of transfinite was in 1902

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Cite this Entry

“Transfinite.” Dictionary, Merriam-Webster, Accessed 26 Oct. 2021.

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