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Concept information

mathematical logic > first-order predicate calculus

Preferred term

first-order predicate calculus  

Definition(s)

  • 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(s)

Synonym(s)

  • first-order logic
  • predicate logic
  • quantificational logic

In other languages

  • French

  • calcul des prédicats du premier ordre
  • calcul des relations
  • logique du premier ordre
  • logique quantificationnelle

URI

http://data.loterre.fr/ark:/67375/PSR-H95KN8C6-Z

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