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.
- ‘In 1905 Bernstein published an important article on transfinite ordinal numbers.’
- ‘He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null).’
- ‘The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers.’
- ‘In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals.’
- ‘The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals.’
2Beyond or surpassing the finite.
- ‘It's perfectly simple, I go in, perform the ritual, bask in the transfinite mysteries of the unknowable heatless void, and then we leave.’
We take a look at several popular, though confusing, punctuation marks.