- first-order predicate logic
The New English-Russian Dictionary of Radio-electronics. F.V Lisovsky . 2005.
first-order predicate logic
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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… … Wikipedia
Predicate logic — In mathematical logic, predicate logic is the generic term for symbolic formal systems like first order logic, second order logic, many sorted logic or infinitary logic. This formal system is distinguished from other systems in that its formulas… … Wikipedia
predicate logic — noun a) The generic term for symbolic formal systems like first order logic, second order logic, many sorted logic or infinitary logic. b) First order logic. <! See . See Also: predicate calculus … Wiktionary
Predicate (logic) — Sometimes it is inconvenient or impossible to describe a set by listing all of its elements. Another useful way to define a set is by specifying a property that the elements of the set have in common. The notation P(x) is used to denote a… … Wikipedia
Second-order predicate — In mathematical logic, a second order predicate is a predicate that takes a first order predicate as an argument. Compare higher order predicate.The idea of second order predication was introduced by the German mathematician and philosopher Frege … Wikipedia
logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher … Universalium
List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… … Wikipedia
Logic — For other uses, see Logic (disambiguation). Philosophy … Wikipedia
logic — logicless, adj. /loj ik/, n. 1. the science that investigates the principles governing correct or reliable inference. 2. a particular method of reasoning or argumentation: We were unable to follow his logic. 3. the system or principles of… … Universalium
Predicate abstraction — In logic, predicate abstraction is the result of creating a predicate from an open sentence. If Q(x) is any formula with x free then the predicate formed from that sentence is (λx.Q(x)), where λ is an abstraction operator. The resultant predicate … Wikipedia
predicate calculus — The logical calculus in which the expressions include predicate letters, variables, and quantifiers, names, and operation letters, as well as the expressions for truth functions and the propositional variables of the propositional calculus . The… … Philosophy dictionary
