second order logic

second order logic
логика второго порядка

English-Russian dictionary of computer science. 2015.

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  • Second-order logic — In logic and mathematics second order logic is an extension of first order logic, which itself is an extension of propositional logic.[1] Second order logic is in turn extended by higher order logic and type theory. First order logic uses only… …   Wikipedia

  • Second-order arithmetic — In mathematical logic, second order arithmetic is a collection of axiomatic systems that formalize the natural numbers and sets thereof. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics. The… …   Wikipedia

  • 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

  • Higher-order logic — In mathematics, higher order logic is distinguished from first order logic in a number of ways.One of these is the type of variables appearing in quantifications; in first order logic, roughly speaking, it is forbidden to quantify over predicates …   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

  • Logic — For other uses, see Logic (disambiguation). Philosophy …   Wikipedia

  • logic, philosophy of — Philosophical study of the nature and scope of logic. Examples of questions raised in the philosophy of logic are: In virtue of what features of reality are the laws of logic true? ; How do we know the truths of logic? ; and Could the laws of… …   Universalium

  • Order of Preachers —     Order of Preachers     † Catholic Encyclopedia ► Order of Preachers     As the Order of the Friars Preachers is the principal part of the entire Order of St. Dominic, we shall include under this title the two other parts of the order: the… …   Catholic encyclopedia

  • LOGIC — (Heb. חָכְמַת הַדִּבּוּר or מְלֶאכֶת הַהִגַּיוֹן), the study of the principles governing correct reasoning and demonstration. The term logic, according to Maimonides, is used in three senses: to refer to the rational faculty, the intelligible in… …   Encyclopedia of Judaism

  • 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


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