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Uncountable set

In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable. The uncountability of a 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.

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Characterizations

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Without the axiom of choice

Bibliography

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Map overview Semantic statistics

Uncountable set

Nodes45
Edges44
Triples11
Avg. degree1.96
Density0.044444
Components1

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Uncountable set

Top relations

related to Examples · 7
Uncountable set → A102288, Cantor's, Hausdorff, OEIS, The, The Cantor, This
is a · 3
Uncountable set → set, set of all countable ordinal numbers, set of all functions from
related to Properties · 1
Uncountable set → If

Important terminology Word statistics

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Important terminology

displaystyle set uncountable cardinality aleph mathbb numbers axiom natural choice beth sets first larger characterizations one greater theory example infinite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Uncountable setis aset0.90text
Uncountable setis aset of all functions from0.90text
Uncountable setis aset of all countable ordinal numbers0.90text
Uncountable setrelated to ExamplesThe0.60section
Uncountable setrelated to ExamplesCantor's0.60section
Uncountable setrelated to ExamplesA1022880.60section
Uncountable setrelated to ExamplesOEIS0.60section
Uncountable setrelated to ExamplesThe Cantor0.60section
Uncountable setrelated to ExamplesHausdorff0.60section
Uncountable setrelated to ExamplesThis0.60section
Uncountable setrelated to PropertiesIf0.60section

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    Connections between topic areas Semantic bridges

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    Min side: 3
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