Mathematical Logic: A Course with Exercises Part I: Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theorems

✍ Scribed by Rene Cori, Daniel Lascar, Donald H. Pelletier

• Publisher: Oxford University Press, USA
• Year: 2002
• Tongue: English
• Leaves: 360
• Category: Library

✦ Synopsis

Logic forms the basis of mathematics and is a fundamental part of any mathematics course. This book provides students with a clear and accessible introduction to this important subject, using the concept of model as the main focus and covering a wide area of logic. The chapters of the book cover propositional calculus, boolean algebras, predicate calculus and completelness theorems with answeres to all of the exercises and the end of the volume. This is an ideal introduction to mathematics and logic for the advanced undergraduate student.

✦ Table of Contents

Cover......Page 1
Title......Page 3
Copyright......Page 6
Foreword to the Original French Edition......Page 7
Foreword to the English Edition......Page 9
Preface......Page 11
Contents......Page 13
Contents of Part II......Page 16
Notes to the reader......Page 19
Introduction......Page 23
1 Propositional Calculus......Page 29
2 Boolean Algebras......Page 85
3 Predicate Calculus......Page 134
4 The Completeness Theorems......Page 215
Solutions......Page 267
Bibliography......Page 352
Index......Page 354