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Logical disjunction

In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as ∨ and read aloud as "or". For instance, the English language sentence "it is sunny or it is warm" can be represented in logic using the disjunctive formula S ∨ W, assuming that S abbreviates "it is…

Applications, Natural language & Applications in computer science

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0-preserving
yes
1-preserving
yes
Affine
no
Conjunctive
x + y {\displaystyle x+y}
Definition
x + y {\displaystyle x+y}
Disjunctive
x + y {\displaystyle x+y}

Topics to explore

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Overview

Inclusive and exclusive disjunction

Notation

Classical disjunction

Applications in computer science

Set theory

Natural language

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Map overview Semantic statistics

Logical disjunction

Nodes80
Edges79
Triples34
Avg. degree1.98
Density0.025
Components1

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Logical disjunction

Top relations

related to Set theory · 4
Logical disjunction → Because, Leftrightarrow, Morgan's, The
related to Logical operation · 3
Logical disjunction → Logical, Many, The
related to Defined by other operators · 2
Logical disjunction → Alternatively, In
0-preserving · 1
Logical disjunction → yes
1-preserving · 1
Logical disjunction → yes
Affine · 1
Logical disjunction → no
Conjunctive · 1
Logical disjunction → x + y {\displaystyle x+y}
Definition · 1
Logical disjunction → x + y {\displaystyle x+y}
Disjunctive · 1
Logical disjunction → x + y {\displaystyle x+y}
Monotone · 1
Logical disjunction → yes

Important terminology Word statistics

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Important terminology

disjunction logical logic classical languages true disjunctive inclusive also semantics english interpretation exclusive operator formula given language natural truth displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Logical disjunction0-preservingyes1.00infobox
Logical disjunction1-preservingyes1.00infobox
Logical disjunctionAffineno1.00infobox
Logical disjunctionConjunctivex + y {\displaystyle x+y}1.00infobox
Logical disjunctionDefinitionx + y {\displaystyle x+y}1.00infobox
Logical disjunctionDisjunctivex + y {\displaystyle x+y}1.00infobox
Logical disjunctionMonotoneyes1.00infobox
Logical disjunctionSelf-dualno1.00infobox
Logical disjunctionTruth table( 1110 ) {\displaystyle (1110)}1.00infobox
Logical disjunctionZhegalkin polynomialx ⊕ y ⊕ x y {\displaystyle x\oplus y\oplus xy}1.00infobox
disjunction introductioninstance ofClassical proof theoretical treatments are often given in terms of rules0.80text
disjunction eliminationinstance ofClassical proof theoretical treatments are often given in terms of rules0.80text

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