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Introduction to mathematical logic

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Author(s): Walicki, Michał
Publisher: World Scientific
Year: 2017

Language: English
Pages: 287
Tags: Logic, Symbolic and mathematical;Математическая логика;Логика;Метематика

A history of logic --
A language and its meaning --
A symbolic language --
1850-1950 : mathematical logic --
Modern symbolic logic --
Elements of set theory --
Sets, functions, relations --
Induction --
Turing machines --
Computability and decidability --
Propositional logic --
Syntax and proof systems --
Semantics of pl --
Soundness and completeness --
Diagnosing paradoxes --
First order logic --
Syntax and proof systems of fol --
Semantics of fol --
More semantics --
Soundness and completeness --
Why is first order logic "first order"?