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
Example Sentences
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
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 Word History
Etymology
German transfinit, from trans- (from Latin) + finit finite, from Latin finitus
First Known Use
1902, in the meaning defined at sense 1