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...
16 KB (1,961 words) - 07:27, 27 July 2024
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...
24 KB (2,495 words) - 14:03, 15 August 2024
which all share the same cardinal number. This cardinal number is called ℵ 0 {\displaystyle \aleph _{0}} , aleph-null. He called the cardinal numbers...
26 KB (3,808 words) - 01:08, 27 April 2024
cardinal number ℵ 0 {\displaystyle \aleph _{0}} . Look up transfinite in Wiktionary, the free dictionary. Actual infinity Aleph number Beth number Epsilon...
10 KB (1,230 words) - 01:37, 12 June 2024
Electron-Positron Collider Aleph kernel, a computer operating system kernel Aleph number, in mathematics set theory Aleph, an advanced system for inductive...
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Continuum hypothesis (redirect from Aleph hypothesis)
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...
31 KB (3,962 words) - 18:18, 2 July 2024
Hebrew alphabet (redirect from Aleph bet)
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...
122 KB (5,292 words) - 08:04, 15 August 2024
Cardinality (redirect from Number of elements)
{\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}}...
23 KB (2,925 words) - 20:33, 24 May 2024
beth. The beth numbers are related to the aleph numbers ( ℵ 0 , ℵ 1 , … {\displaystyle \aleph _{0},\aleph _{1},\dots } ), but unless the generalized...
13 KB (2,227 words) - 02:51, 19 June 2024
infinite cardinal number is ℵ 0 {\displaystyle \aleph _{0}} (aleph-null). The second smallest is ℵ 1 {\displaystyle \aleph _{1}} (aleph-one). The continuum...
16 KB (2,373 words) - 14:10, 10 July 2024