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Condensations of the transfinite
The ravings of a fairly unexceptional instantiation
Created on 2004-01-02 20:29:16 (#1766865), last updated 2008-12-17
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Basic Info| Name: | alephnul |
|---|
BioAleph-null is a transfinite number as defined by Cantor when he proved that infinite sets can have different cardinalities or sizes. Aleph-null is by definition the cardinality of the set of all natural numbers, and is the smallest of all infinite cardinalities. Any set of cardinality Aleph-null can be put into a direct one-to-one correspondence (see bijection) with the integers, and thus is a countably infinite set. Such sets include the set of all prime numbers, the set of all squares of integers, the set of all positive integers, and the set of all integer multiples of a given non-zero real number n.
(Wikipedia entry http://en.wikipedia.org/wiki/Aleph-null)
(Wikipedia entry http://en.wikipedia.org/wiki/Aleph-null)
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