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Aleph number

In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets. They were introduced by the mathematician Georg Cantor and are named after the symbol he used to denote them, the Hebrew letter aleph (ℵ).

Art, Aleph-zero & Aleph-one

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Overview

Aleph-zero

Aleph-one

Continuum hypothesis

Aleph-omega

Aleph-α for general α

Fixed points of omega

Role of axiom of choice

Advanced semantic analysis

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Map overview Semantic statistics

Aleph number

Nodes76
Edges75
Triples17
Avg. degree1.97
Density0.026316
Components1

How this topic connects Entity context

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Aleph number

Top relations

related to Continuum hypothesis · 11
Aleph number → CH, Fraenkel, It, Kurt Gödel, Paul Cohen, That, That CH, The, The CH, Zermelo, ZFC
related to Role of axiom of choice · 4
Aleph number → Any, Each, Every, The
related to Aleph-α for general α · 2
Aleph number → To, We

Important terminology Word statistics

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Important terminology

aleph displaystyle cardinality set ordinal omega infinite number numbers cardinal sets axiom zfc choice alpha sequence natural limit function kappa

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Aleph numberrelated to Aleph-α for general αTo0.60section
Aleph numberrelated to Aleph-α for general αWe0.60section
Aleph numberrelated to Continuum hypothesisThe0.60section
Aleph numberrelated to Continuum hypothesisIt0.60section
Aleph numberrelated to Continuum hypothesisZFC0.60section
Aleph numberrelated to Continuum hypothesisZermelo0.60section
Aleph numberrelated to Continuum hypothesisFraenkel0.60section
Aleph numberrelated to Continuum hypothesisCH0.60section
Aleph numberrelated to Continuum hypothesisThe CH0.60section
Aleph numberrelated to Continuum hypothesisThat CH0.60section
Aleph numberrelated to Continuum hypothesisKurt Gödel0.60section
Aleph numberrelated to Continuum hypothesisThat0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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