Aleph one

Aleph one, written as [math]\displaystyle{ \aleph_1 }[/math], is an infinite cardinal number following aleph null ([math]\displaystyle{ \aleph_0 }[/math]).[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, [math]\displaystyle{ \aleph_2 }[/math].

Aleph One Media

Related pages

References

  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.