Formal Logic

In a new approach to teaching logic, Paul Hoyningen-Huene uses familiar phrases from everyday speech to present the fundamental principles in a manner accessible to those who might lack a strong background in mathematics. Filled with examples, exercises, and straightforward examinations of some of the most commonly encountered problems in teaching logic, Formal Logic is an intelligent and effective introduction to the subject and offers fresh insights into some of philosophy's oldest questions. Book jacket.

Paul Hoyningen-Huene is director of the Center for Philosophy and Ethics of Science at the University of Hannover, Germany

Translator's Preface,

vii

Preface,

ix

Chapter 1. Introduction,

1

(25)

1. An Example,

1

(8)

2. Preliminary Remarks on the Notion of Logical Form,

9

(4)

3. Validity and Soundness,

13

(2)

4. Statements, Primitive Statements, and Compound Statements,

15

(9)

5. Review,

24

(2)

Chapter 2. Statement Logic,

26

(98)

1. The Symbol System of Statement Logic,

26

(27)

2. The Metalogic of Statement Logic,

53

(62)

3. Review and Overview,

115

(9)

Chapter 3. Predicate Logic,

124

(57)

1. The Symbol System of Predicate Logic,

126

(42)

2. The Metalogic of Predicate Logic,

168

(12)

3. Review and Overview,

180

(1)

Chapter 4. The Mathematical Approach to Statement Logic,

181

(28)

1. On Mathematical Approaches in General,

182

(3)

2. The Syntax of Statement Logic,

185

(6)

3. Semantics: Model Theory,

191

(4)

4. Proof Theory,

195

(10)

5. Review,

205

(1)

6. Prospects for Predicate Logic,

206

(3)

Appendix 1. An Additional Proof,

209

(3)

Appendix 2. Solutions to the Exercises,

212

(41)

By Christopher von Bulow and Alex Levine

Appendix 3. Suggestions for Further Reading,

253

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Summary

Author Biography

Table of Contents

Supplemental Materials