2. Adjective. (mathematics) Relating to transfinite numbers. ¹
3. Noun. A transfinite number. ¹
¹ Source: wiktionary.com
Definition of Transfinite
1. [adj]
Lexicographical Neighbors of Transfinite
Literary usage of Transfinite
Below you will find example usage of this term as found in modern and/or classical literature:
1. Some Problems of Philosophy: A Beginning of an Introduction to Philosophy by William James (1911)
"Next, certain concepts, called 'transfinite numbers,' are now created by definition.
... The transfinite is, in a word, not an ordinal conception, ..."
2. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"H, ... to, to + 1, o> + 2,... a> + m ; and the numbers to, <a + 1,... u> + in
are regarded as a set of transfinite ordinal numbers, which commences with the ..."
3. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"transfinite Derivatives 313. 1. We have seen, I, 266, that Thus g,., Let no\v 31
be a limited point aggregate of the second species. ..."
4. The Monist by Hegeler Institute (1921)
"41 The theory of the ordinal types seems called upon to play a more important
part than that of the transfinite cardinals. In this connection, let us ..."
5. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"Improper Infinite and Proper Infinite, or transfinite. ... transfinite Cardinal
Numbers and their Laws.—Denote by A any assemblage of elements a; ..."
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