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From symbolic logic -- to mathematical logic

Charles L. Silver

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Abstract

Mathematical preliminaries syntax of sentential logic short-cut rules of sentential logic semantics of sentential logic connecting the syntax and semantics of sentential logic the syntax of first-order predicate logic the semantics of first-order predicate logic connections syntax and semantics for first-order predicate logic first-order theories the theory of arithmetic models for first-order theories Godel's theorems.

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Mathematical preliminaries syntax of sentential logic short-cut rules of sentential logic semantics of sentential logic connecting the syntax and semantics of sentential logic the syntax of first-order predicate logic the semantics of first-order predicate logic connections syntax and semantics for first-order predicate logic first-order theories the theory of arithmetic models for first-order theories Godel's theorems.

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Available abstract

Mathematical preliminaries syntax of sentential logic short-cut rules of sentential logic semantics of sentential logic connecting the syntax and semantics of sentential logic the syntax of first-order predicate logic the semantics of first-order predicate logic connections syntax and semantics for first-order predicate logic first-order theories the theory of arithmetic models for first-order theories Godel's theorems.

Key concepts: Predicate logic, Higher-order logic, Predicate variable, Predicate functor logic, Syntax, Autoepistemic logic, Predicate transformer semantics, Computer science

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