ABSTRACT

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.

part |2 pages

PART I BACKGROUND IDEAS

chapter 1|9 pages

Consequences

chapter 2|14 pages

Language, Form, and Logical Theories

chapter 3|15 pages

Set-theoretic Tools

part |2 pages

PART II BASIC CONNECTIVES

chapter 4|19 pages

Classical Theory

chapter 5|18 pages

A Paracomplete Theory

chapter 6|17 pages

A Paraconsistent Theory

part |2 pages

PART III INNARDS, IDENTITY, AND QUANTIFIERS

chapter 7|11 pages

Atomic Innards

chapter 8|10 pages

Identity

chapter 9|11 pages

Everything and Something

part |2 pages

PART IV FREEDOM, NECESSITY, AND BEYOND

chapter 10|10 pages

Speaking Freely

chapter 11|18 pages

Possibilities

chapter 12|14 pages

Glimpsing Different Logical Roads