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Non-measurable set

In mathematics, a non-measurable set is a set which cannot be assigned a meaningful "volume". The existence of such sets is construed to provide information about the notions of length, area and volume in formal set theory. In Zermelo–Fraenkel set theory, the axiom of choice entails that non-measurable subsets of R {\displaystyle \mathbb {R} } exist.

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Non-measurable set

Nodes51
Edges50
Triples7
Avg. degree1.96
Density0.039216
Components1

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Non-measurable set

Top relations

related to Examples · 6
Non-measurable set → Consider, Hence, Here, If, The, Using
is a · 1
Non-measurable set → set which cannot be assigned a meaningful

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Important terminology

set sets theory measurable non-measurable measure volume displaystyle countable choice standard mathematics probability existence rational might disjoint additive axiom called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Non-measurable setis aset which cannot be assigned a meaningful0.90text
Non-measurable setrelated to ExamplesConsider0.60section
Non-measurable setrelated to ExamplesHere0.60section
Non-measurable setrelated to ExamplesHence0.60section
Non-measurable setrelated to ExamplesUsing0.60section
Non-measurable setrelated to ExamplesThe0.60section
Non-measurable setrelated to ExamplesIf0.60section

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