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Definition of Aleph-zero
1. Noun. The smallest infinite integer.
Lexicographical Neighbors of Aleph-zero
Literary usage of Aleph-zero
Below you will find example usage of this term as found in modern and/or classical literature:
1. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"The cardinal number attached to an infinite enumerable set is K0, aleph zero.
At times we shall also denote this cardinal by e, so that e = «o- 2. ..."
2. Contributions to the Founding of the Theory of Transfinite Numbers by Georg Cantor (1911)
"... is throughout conformable to that which was given us for the least transfinite
cardinal number aleph-zero by the system of all finite numbers v (§ 6). ..."
3. The Praxis of Alain Badiou by Paul Ashton, A J Bartlett, Justin Clemens (2006)
"... infinite itself: X (aleph-zero) is the smallest infinite cardinal, 'marking
the caesura between finite and infinite', and, as such, cannot be approached ..."
4. Journal für die reine und angewandte Mathematik by Lazarus Fuchs, Kurt Hensel, August Leopold Crelle (1905)
"... the first transfinite cardinal number, aleph-zero) of any aggregate of values
among those of the independent variable such that, when the values of the ..."
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