Logical Number Theory I

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This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. This study analyzes number theory as studied by the logician. It is the first volume of a two-volume introduction to mathematical logic, which…

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This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability.

This study analyzes number theory as studied by the logician. It is the first volume of a two-volume introduction to mathematical logic, which deals with recursion theory, first-order logic, completeness, incompleteness and undecidability. It contains a logical discussion of diophantine decision problems and logico-arithmetical matters. Each chapter contains exercises and historical comments designed to develop the student’s perspective of the subject.