I. (ˈ)tranz, -raanz, -n(t)s+ adjective
Etymology: German transfinit, from trans- (from Latin) + finit finite, from Latin finitus, past participle of finire to limit, finish, end — more at finish
1. : going beyond or surpassing any finite number, assemblage, or magnitude
that world where pain and pleasure take on transfinite values and all our arithmetic is dismayed — C.S.Lewis
God … must be transfinite beyond conception — C.O.Gorham
2.
a. : being a power of a mathematical aggregate whose cardinal number is not finite
aleph-null is the smallest transfinite cardinal number
b. : being either an index of the ordered set of all natural numbers or generated from this index by purely algebraic means
transfinite ordinal numbers
II. noun
( -s )
: a transfinite number, assemblage, or magnitude