smallest cardinality of a well-ordered but uncountable set From Wikipedia, the free encyclopedia

**Aleph one**, written as , is an infinite cardinal number following aleph null ().^{[1]} It is the cardinality (size) of the set of numbers of possible arrangements for all countably infinite sets. Under the continuum hypothesis, it is also the cardinality of the real numbers.^{[2]} Aleph one is followed by aleph two, .

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