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Propositional logic

Propositional logic is a branch of classical logic. It is also called statement logic, sentential calculus, propositional calculus, sentential logic, or sometimes zeroth-order logic. Sometimes, it is called first-order propositional logic to contrast it with System F, but it is distinct from first-order logic. It deals with propositions (which can be…

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Overview

History

Sentences

Arguments

Formalization

Language

Semantics

Proof systems

Syntactic proof via natural deduction

Syntactic proof via axioms

Solvers

Higher logical levels

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Map overview Semantic statistics

Propositional logic

Nodes199
Edges198
Triples126
Avg. degree1.99
Density0.01005
Components1

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Propositional logic

Top relations

related to External links · 26
Propositional logic → April, Bradley, Chapter, Curtis, Dowden, Edward, Formal Predicate Calculus, Franks, Generative GrammarA Propositional Calculator, In Fieser, In Zalta, Internet Encyclopedia, James, Kevin, Klement, Logic In ActionPropositional, Magnus, Metaphysics Research Lab, Nodelman, Philosophy
related to history · 15
Propositional logic → Although, Augustus De Morgan, BC, CE, Chrysippus, Consequently, George Boole, Gottfried Leibniz, However, Leibniz, Stoic, Stoics, Symbolic, The, This
related to Compounding sentences with connectives · 11
Propositional logic → Compound, Either London, England, Examples, In, In English, It, London, This, United Kingdom, Wikipedia
related to Semantics · 10
Propositional logic → False, Finite-valued, For, In, Infinite-valued, Many-valued, Three-valued, To, True, Wikipedia
related to Frege's Begriffsschrift · 9
Propositional logic → Although, Ancient Greek, Begriffsschrift, Euclid's Elements, Frege's, Geometry, Gottlob Frege's, It, Proposition
related to Solvers · 9
Propositional logic → Chaff, Deciding, DPLL, However, NP-complete, One, Recent, SAT, SMT
related to Semantic proof via tableaux · 7
Propositional logic → Analytic, FX, Informally, Since, Their, These, TX
related to Declarative sentences · 6
Propositional logic → All Wikipedia, England, Examples, London, Propositional, Wikipedia
related to Formalization · 6
Propositional logic → Example, Language, Proof, Propositional, The, This
related to Propositional variables · 6
Propositional logic → Example, It's, Not, Since, When, With

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Important terminology

displaystyle logic propositional connectives truth true formulas proof language logical varphi mathcal formula called propositions interpretation semantic given one rules

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Propositional logicis abranch of classical logic0.90text
Propositional logicis afoundation of first-order logic and higher-order logic.Propositional logic is typically studied with a formal language0.90text
the aboveinstance offor definitions0.80text
Iinstance offor definitions0.80text
Propositional logicrelated to Compounding sentences with connectivesIn0.60section
Propositional logicrelated to Compounding sentences with connectivesCompound0.60section
Propositional logicrelated to Compounding sentences with connectivesThis0.60section
Propositional logicrelated to Compounding sentences with connectivesIn English0.60section
Propositional logicrelated to Compounding sentences with connectivesExamples0.60section
Propositional logicrelated to Compounding sentences with connectivesWikipedia0.60section
Propositional logicrelated to Compounding sentences with connectivesIt0.60section
Propositional logicrelated to Compounding sentences with connectivesEither London0.60section

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