Constructive dilemma

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Formal notation

Sequent Metalogical Syntactic consequence Formal system Truth-functional

7 related topics

Overview

Valid Rule of inference Propositional logic Inference Conditionals

9 related topics

Key facts & relationships

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Field: Propositional calculus
Statement: If P {\displaystyle P} implies Q {\displaystyle Q} and R {\displaystyle R} implies S {\displaystyle S} , and either P {\displaystyle P} or R {\displaystyle R} is true, then eith…
Symbolic statement: ( P → Q ) , ( R → S ) , P ∨ R ∴ Q ∨ S {\displaystyle {\frac {(P\to Q),(R\to S),P\lor R}{\therefore Q\lor S}}}
Type: Rule of inference

Topics to explore

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Overview

Valid Validity (logic)
Rule of inference
Propositional logic Propositional calculus
Inference
Conditionals Material conditional
Disjunctive Logical disjunction
Modus ponens
Destructive dilemma
Modus tollens

Formal notation

Sequent
Metalogical Metalogic
Syntactic consequence Logical consequence
Formal system
Truth-functional
Tautology Tautology (logic)
Theorem

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Map overview Semantic statistics

Nodes19

Edges18

Triples7

Avg. degree1.89

Density0.105263

Components1

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Constructive dilemma

Top relations

is a · 2

Constructive dilemma → disjunctive version of modus ponens, valid rule of inference of propositional logic

Field · 1

Constructive dilemma → Propositional calculus

Statement · 1

Constructive dilemma → If P {\displaystyle P} implies Q {\displaystyle Q} and R {\displaystyle R} implies S {\displaystyle S} , and either P {\displaystyle P} or R {\displaystyle R} is true, then eith…

Symbolic statement · 1

Constructive dilemma → ( P → Q ) , ( R → S ) , P ∨ R ∴ Q ∨ S {\displaystyle {\frac {(P\to Q),(R\to S),P\lor R}{\therefore Q\lor S}}}

Type · 1

Constructive dilemma → Rule of inference

related to Formal notation · 1

Constructive dilemma → The

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Important terminology

dilemma constructive rule inference displaystyle true propositional lor implies either disjunctive logic statement formal notation valid conditionals sum two least

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Constructive dilemma	Field	Propositional calculus	1.00	infobox
Constructive dilemma	Statement	If P {\displaystyle P} implies Q {\displaystyle Q} and R {\displaystyle R} implies S {\displaystyle S} , and either P {\displaystyle P} or R {\displaystyle R} is true, then eith…	1.00	infobox
Constructive dilemma	Symbolic statement	( P → Q ) , ( R → S ) , P ∨ R ∴ Q ∨ S {\displaystyle {\frac {(P\to Q),(R\to S),P\lor R}{\therefore Q\lor S}}}	1.00	infobox
Constructive dilemma	Type	Rule of inference	1.00	infobox
Constructive dilemma	is a	valid rule of inference of propositional logic	0.90	text
Constructive dilemma	is a	disjunctive version of modus ponens	0.90	text
Constructive dilemma	related to Formal notation	The	0.60	section

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