Predicate Logic
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Home > Art, Film & Photography > Predicate Logic: First-Order Logic, Second-Order Predicate, First-Order Predicate, Free Variables and Bound Variables, Mereology
Predicate Logic: First-Order Logic, Second-Order Predicate, First-Order Predicate, Free Variables and Bound Variables, Mereology

Predicate Logic: First-Order Logic, Second-Order Predicate, First-Order Predicate, Free Variables and Bound Variables, Mereology


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 40. Chapters: First-order logic, Second-order predicate, First-order predicate, Free variables and bound variables, Mereology, Quantification, Predicate functor logic, Atomic sentence, (, )-definition of limit, Drinker paradox, Standard translation, Monadic predicate calculus, Clause, Predicate variable, Generalization, Atomic formula, Empty domain, Formation rule, Domain of discourse, Extension, Universal instantiation, Bernays-Sch nfinkel class. Excerpt: First-order logic is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first-order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less precise term). First-order logic is distinguished from propositional logic by its use of quantifiers; each interpretation of first-order logic includes a domain of discourse over which the quantifiers range. The adjective "first-order" is used to distinguish first-order theories from higher-order theories in which there are predicates having other predicates or functions as arguments or in which predicate quantifiers or function quantifiers are permitted or both (Mendelson 1964, p. 56). In interpretations of first-order theories predicates are associated with sets. In interpretations of higher order theories they may be also associated with sets of sets. There are many deductive systems for first-order logic that are sound (only deriving correct results) and complete (able to derive any logically valid implication). Although the logical consequence relation is only semidecidable, much progress has been made in automated theorem proving in first-order logic. First-order logic also satisfies several metalogical theorems that make it amenable to analysis in proof theory, such as the L wenheim-Skolem theorem and the compactn...


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Product Details
  • ISBN-13: 9781156572580
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Weight: 95 gr
  • ISBN-10: 1156572584
  • Publisher Date: 23 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: First-Order Logic, Second-Order Predicate, First-Order Predicate, Free Variables and Bound Variables, Mereology
  • Width: 189 mm


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