Logic: The Basics is a hands-on introduction to the philosophically alive field of logical inquiry. Covering both classical and non-classical theories, it presents some of the core notions of logic such as validity, basic connectives, identity, ‘free logic’ and more. This book: introduces some basic ideas of logic from a semantic and philosophical perspective uses logical consequence as the focal concept throughout considers some of the controversies and rival logics that make for such a lively field This accessible guide includes chapter summaries and suggestions for further reading as well as exercises and sample answers throughout. It is an ideal introduction for those new to the study of logic as well as those seeking to gain the competence and skills needed to move to more advanced work in logic.
Author(s): J.C. Beall
Edition: 1
Year: 2010
Language: English
Pages: 200
Cover......Page 1
Logic : the basics......Page 4
PREFACE......Page 8
ACKNOWLEDGEMENTS......Page 12
CONTENTS......Page 14
I BACKGROUND IDEAS......Page 18
1 Consequences......Page 20
2 Language, Form, and Logical Theories......Page 29
3 Set-theoretic Tools......Page 43
II BASIC CONNECTIVES......Page 58
4 Classical Theory......Page 60
5 A Paracomplete Theory......Page 79
6 A Paraconsistent Theory......Page 97
III INNARDS, IDENTITY, AND QUANTIFIERS......Page 114
7 Atomic Innards......Page 116
8 Identity......Page 127
9 Everything and Something......Page 137
IV FREEDOM, NECESSITY, AND BEYOND......Page 148
10 Speaking Freely......Page 150
11 Possibilities......Page 160
12 Glimpsing Different Logical Roads......Page 178
A List of Common Abbreviations......Page 192
References......Page 193
Index......Page 196
