Introduction to Logic and to the Methodology of the Deductive Sciences [Hardcover]

Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw upon the concepts and principles presented in the first section. Numerous exercises and an introduction to the theory of real numbers are also presented. Students, teachers and general readers interested in logic and mathematics will find this book to be an invaluable introduction to the subject.

FIRST PART: Elements of Logic. Deductive Method
1. On the Use of Variables
2. On the Sentential Calculus
3. On the Theory of Identity
4. On the Theory of Classes
5. On the Theory of Relations
6. On the Deductive Method
SECOND PART: Applications of Logic and Methodology in Constructing Mathematical Theories
7. Construction of a Mathematical Theory: Laws of Order for Numbers
8. Construction of a Mathematical Theory: Laws of Addition and Subtraction
9. Methodological Considerations of the Constructed Theory
10. Extension of the Constructed Theory: Foundations of Arithmetic of Real Numbers

For Tarski logic was not only an essential tool of mathematics but the very foundation of it. What is more, he credited logic with having even more general meaning and significance. This new edition of Tarski's classic book will certainly help a new generation of readers in this respect. --RomanMurawski, Modern Logic, Vol 8, No 1/2 (January 1998 - April 2000)