Concept information
Preferred term
first-order predicate calculus
Definition
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First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than propositions such as "Socrates is a man", one can have expressions in the form "there exists x such that x is Socrates and x is a man", where "there exists" is a quantifier, while x is a variable. This distinguishes it from propositional logic, which does not use quantifiers or relations; in this sense, propositional logic is the foundation of first-order logic.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/First-order_logic)
Broader concept
Entry terms
- first-order logic
- predicate logic
- quantificational logic
In other languages
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French
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calcul des prédicats du premier ordre
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calcul des relations
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logique du premier ordre
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logique quantificationnelle
URI
http://data.loterre.fr/ark:/67375/PSR-H95KN8C6-Z
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