second-order logic oor Spaans

second-order logic

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en
A formal system which extends first-order logic by allowing quantification over relations between members of the universe.

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lógica de segundo orden

en
extension of first-order logic, which itself is an extension of propositional logic
es
extensión de una lógica de primer orden en la que se añaden variables para propiedades, funciones y relaciones, y cuantificadores
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In a model for second-order logic, the first-order domain determines the second-order domain.
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In general, the Löwenheim–Skolem theorem does not hold in stronger logics such as second-order logic.
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Second-order logic is more expressive than first-order logic.
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Other generalizations include satisfiability for first- and second-order logic, constraint satisfaction problems, 0-1 integer programming.
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(This is formalizable in second-order logic.)
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Many textbooks do not treat second-order logic at all.
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Just as in first-order logic, second-order logic may include non-logical symbols in a particular second-order language.
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A logical characterization of PSPACE from descriptive complexity theory is that it is the set of problems expressible in second-order logic with the addition of a transitive closure operator.
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In a second-order predicate logic, one could also allow sentences to be arguments of predicates.
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This book reprints much of Boolos's work on the rehabilitation of Frege, as well as a number of his papers on set theory, second-order logic and nonfirstorderizability, plural quantification, proof theory, and three short insightful papers on Gödel's Incompleteness Theorem.
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Boolos argued that if one reads the second-order variables in monadic second-order logic plurally, then second-order logic can be interpreted as having no ontological commitment to entities other than those over which the first-order variables range.
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In second order logic, however, the well-ordering theorem is strictly stronger than the axiom of choice: from the well-ordering theorem one may deduce the axiom of choice, but from the axiom of choice one cannot deduce the well-ordering theorem.
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His mathematical logic treats propositional logics, modal logics, identity logics, syllogistic logics, the logic of first-order variable-binding term operators, second-order logics, model theory, and the theory of strings – a discipline which is foundational in all areas of logic and which provides essential background for all of his other mathematical work.
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Williamson, 1978/9, 1990, 1998, 2000a, 2000b, 2002, 2010, 2013, forthcoming "Barcan Formulas in Second-Order Modal Logic"), i. e. the thesis that it is necessary that everything exists necessarily.
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In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets.
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Following a number of preliminary remarks, I shall begin my analysis, in logical order, by looking at the second question referred.
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In general, the Löwenheim–Skolem theorem does not hold in stronger logics such as second-order logic. Contents
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Second-order logic - Wikipedia, the free encyclopedia
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He has worked on topics of first and second order logic, axiomatic set theory, computability and complexity.
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I used to continue by writing a second draft which put those themes together in some more-orless logical order.
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But HusserI wanted to pass from a formal logic to a transcendental logic in order to found the first on the second .
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In particular, I defend that this logic is not—as it has been repeatedly said—a second-order logic and provide the following reasons.
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Second, it contains enough information so that it can be translated into a regular first-order logical sentence.
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I used to continue by writing a second draft which put those themes together in some more-or-less logical order.
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The Italian Government considers that the logical order of the questions referred should be changed and, in its view, the second question is the fundamental one.
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87 sinne gevind in 26 ms. Hulle kom uit baie bronne en word nie nagegaan nie.