Classical Mathematical Logic : : The Semantic Foundations of Logic / / Richard L. Epstein.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Epstein, Richard L.,
• TeilnehmendeR: Szczerba, Leslaw W.
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2011]; ©2006
• Year of Publication: 2011
• Edition: Course Book
• Language: English
• Physical Description: 1 online resource (544 p.) :; 20 line illus.

In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not...

Table of Contents

• Frontmatter
• Contents
• Preface
• Acknowledgments
• Introduction
• I. Classical Propositional Logic
• II. Abstracting and Axiomatizing Classical Propositional Logic
• III. The Language of Predicate Logic
• IV. The Semantics of Classical Predicate Logic
• V. Substitutions and Equivalences
• VI. Equality
• VII. Examples of Formalization
• VIII. Functions
• IX. The Abstraction of Models
• X. Axiomatizing Classical Predicate Logic
• XI. The Number of Objects in the Universe of a Model
• XII. Formalizing Group Theory
• XIII. Linear Orderings
• XIV. Second-Order Classical Predicate Logic
• XV. The Natural Numbers
• XVI. The Integers and Rationals
• XVII. The Real Numbers
• XVIII. One-Dimensional Geometry
• XIX. Two-Dimensional Euclidean Geometry
• XX. Translations within Classical Predicate Logic
• XXI. Classical Predicate Logic with Non-Referring Names
• XXII. The Liar Paradox
• XXIII. On Mathematical Logic and Mathematics
• Appendix: The Completeness of Classical Predicate Logic Proved by Gödel's Method
• Summary of Formal Systems
• Bibliography
• Index of Notation
• Index