Aleph one

Aleph one, written as $\aleph _{1}$ , is an infinite cardinal number following aleph null ( $\aleph _{0}$ ).^[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, $\aleph _{2}$ .

Related pages change

Infinity

References change

↑ "Comprehensive List of Set Theory Symbols". Math Vault. 2020-04-11. Retrieved 2020-09-05.
↑ Weisstein, Eric W. "Aleph-1". mathworld.wolfram.com. Retrieved 2020-09-05.

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[1] "Comprehensive List of Set Theory Symbols". Math Vault. 2020-04-11. Retrieved 2020-09-05.

[2] Weisstein, Eric W. "Aleph-1". mathworld.wolfram.com. Retrieved 2020-09-05.

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