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Algebra of sets

In mathematics, particularly in the study of set theory, the algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions and performing calculations involving these…

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Fundamentals

Mathematical objectsNumbersPoints in spaceLinesGeometric shapes
23 related topics

Works cited

ISBN
1 related topics

Algebra of inclusion

Partial orderPower setMeetsGreatest element
4 related topics

Overview

MathematicsSet theorySetsOperationsUnion
13 related topics

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Overview

Fundamentals

Some additional laws for unions and intersections

Some additional laws for complements

Algebra of inclusion

Works cited

  • ISBN ISBN (identifier)

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Algebra of sets

Nodes52
Edges51
Triples46
Avg. degree1.96
Density0.038462
Components1

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Algebra of sets

Top relations

related to Works cited · 31
Algebra of sets → An Elementary Approach, Boolean Algebras, Courant, Dover Publications, Halmos, Herbert, Ian, Ideas, ISBN, Lectures, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Logic, Methods, Mineola, Naive Set Theory, Nostrand, Oxford University Press US, Paul
related to Union and intersection · 9
Algebra of sets → An, Analogically, For, Foundationally, Just, Several, Similarly, The, Then
related to Algebra of inclusion · 3
Algebra of sets → If, That, The
see also · 3
Algebra of sets → Axiomatic, PropertiesField, Topological

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Important terminology

set sets displaystyle intersection complement union algebra varnothing operations cup cap universe laws inclusion following boldsymbol addition multiplication also set-theoretic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Algebra of setsrelated to Algebra of inclusionThe0.60section
Algebra of setsrelated to Algebra of inclusionThat0.60section
Algebra of setsrelated to Algebra of inclusionIf0.60section
Algebra of setsrelated to Union and intersectionThe0.60section
Algebra of setsrelated to Union and intersectionFoundationally0.60section
Algebra of setsrelated to Union and intersectionAn0.60section
Algebra of setsrelated to Union and intersectionFor0.60section
Algebra of setsrelated to Union and intersectionThen0.60section
Algebra of setsrelated to Union and intersectionAnalogically0.60section
Algebra of setsrelated to Union and intersectionJust0.60section
Algebra of setsrelated to Union and intersectionSimilarly0.60section
Algebra of setsrelated to Union and intersectionSeveral0.60section

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