bound"), or as an extreme point of the extended real number line. ℵ0 (aleph-zero, also aleph-nought or aleph-null) is the cardinality of the set of all natural...

Aleph (or alef or alif, transliterated ʾ) is the first letter of the Semitic abjads, including Phoenician ʾālep 𐤀, Hebrew ʾālef א, Aramaic ʾālap 𐡀,...

which all share the same cardinal number. This cardinal number is called ℵ 0 {\displaystyle \aleph _{0}} , aleph-null. He called the cardinal numbers...

cardinal number ℵ 0 {\displaystyle \aleph _{0}} . Look up transfinite in Wiktionary, the free dictionary. Actual infinity Aleph number Beth number Epsilon...

Electron-Positron Collider Aleph kernel, a computer operating system kernel Aleph number, in mathematics set theory Aleph, an advanced system for inductive...

S\colon \aleph _{0}<|S|<2^{\aleph _{0}}} . Assuming the axiom of choice, there is a unique smallest cardinal number ℵ 1 {\displaystyle \aleph _{1}} greater...

beth. The beth numbers are related to the aleph numbers ( ℵ 0 ,   ℵ 1 ,   … {\displaystyle \aleph _{0},\ \aleph _{1},\ \dots } ), but unless the generalized...

{\displaystyle \aleph _{1}=2^{\aleph _{0}}} , i.e. 2 ℵ 0 {\displaystyle 2^{\aleph _{0}}} is the smallest cardinal number bigger than ℵ 0 {\displaystyle \aleph _{0}}...

set theory, ℵ 0 {\displaystyle \aleph _{0}} , pronounced aleph-naught or aleph-zero, is used to mark the cardinal number of an infinite countable set, such...

set is closely related to its cardinal number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers...