Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic Volume II: Foundations of Mathematics

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This book provides an introduction to mathematical logic and the foundations of mathematics. It will help prepare students for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The presentation of finite state and Turing machines leads to the Halting Problem and Gödel's Incompleteness Theorem, which have broad academic interest, particularly in computer science and philosophy. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Introduction Contents: Preface About the Authors Introduction Propositional Logic Predicate Logic Models of Predicate Logic Boolean Algebras Computability Decidable and Undecidable Theories Algorithmic Randomness Nonstandard Numbers Foundations of Geometry Bibliography Index Readership: Advanced undergraduate or beginning graduate students interested in mathematical logic, mathematics, computer science, and philosophy.