1. transfinite - Noun
2. transfinite - Adjective
Beyond finite.
(mathematics) Relating to transfinite numbers.
transfinite (plural transfinites)
A transfinite number.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds. Georg Cantor
Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number. Georg Cantor
The transfinite numbers are in a certain sense themselves new irrationalities. Georg Cantor
For example, many results about Borel sets are proved by transfinite induction on the ordinal rank of the set; these ranks are already well-ordered, so the axiom of choice is not needed to well-order them. Source: Internet
First, from the highest perfection of God, we infer the possibility of the creation of the transfinite, then, from his all-grace and splendor, we infer the necessity that the creation of the transfinite in fact has happened. Source: Internet
One can describe the cumulative hierarchy into which Zermelo developed his models as the universe of a cumulative TT in which transfinite types are allowed. Source: Internet