(manner) In a manner that requires a transfinite number of steps. / (degree) Of transfinite degree.

Beyond finite. / (mathematics) Relating to transfinite numbers.

A transfinite number.

plural of transfinite

(set theory) Any cardinal or ordinal number which is larger than any finite, i.e. natural number; often represented by the Hebrew letter aleph (ℵ) with a subscript 0, 1, etc.

plural of transfinite number

plural of transfinite induction

(mathematics, set theory) An extension of mathematical induction to well-ordered sets of transfinite cardinality, such as sets of ordinal numbers or cardinal numbers.