Definition of transfinite in English:
transfinite
adjective transˈfʌɪnʌɪttrɑːns--nz-tran(t)sˈfīˌnīt
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.
Example sentencesExamples
- The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals.
- In 1905 Bernstein published an important article on transfinite ordinal numbers.
- In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals.
- The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers.
- He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null).