transfinite
adjective
trans·fi·nite
(ˌ)tran(t)s-ˈfī-ˌnīt 
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
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This notation, which relies on advanced techniques such as transfinite arithmetic, is a type of recurring exponential function, and in this case translates to: 2 to the 2 to the 2 to the 2 to the 2... one thousand times.
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Adrienne Bernhard, Popular Mechanics, 27 Feb. 2023
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
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Adrienne Bernhard, Popular Mechanics, 27 Feb. 2023
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
Cite this Entry
“Transfinite.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/transfinite. Accessed 25 Jul. 2025.
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