transfinite Syllabification: (trans·fi·nite)Pronunciation: /transˈfīˌnīt/Definition of transfinite adjective 1 Mathematics relating to or denoting a number corresponding to an infinite set in the way that a natural number denotes or counts members of a finite set. 2beyond or surpassing the finite. transfinite in other Oxford dictionaries Definition of transfinite in the British & World English dictionary