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Definition of Aleph-null
1. Noun. The smallest infinite integer.
Definition of Aleph-null
1. Proper noun. (set theory) The first of the transfinite cardinal numbers; corresponds to the number of positive integers, also called ''natural numbers''. Georg Cantor showed that even all the rational numbers could be put in one-to-one correspondence with them, and are therefore ''countable'', ''enumerable'' or ''denumerable''. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Aleph-null
Literary usage of Aleph-null
Below you will find example usage of this term as found in modern and/or classical literature:
1. Proceedings of the London Mathematical Society by London Mathematical Society (1904)
"Cantor uses the notation N! or Aleph-eins for the potency of his numbers of the
first potency, while NO or aleph-null denotes the potency of a countable set ..."
2. The Human Worth of Rigorous Thinking: Essays and Addresses by Cassius Jackson Keyser (1916)
"Yes, and it has, like many other numbers, received a symbol, namely, K, read
Aleph null. It is, then, this cardinal number Aleph, not familiar, indeed, ..."
3. The Praxis of Alain Badiou by Paul Ashton, A J Bartlett, Justin Clemens (2006)
"The cardinal number associated with CO is Xo, aleph null, and all ordinal sets
using the first two methods of construction share the same cardinality.16 ..."
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