Introduction to Logic and to the Methodology of the Deductive Sciences (Oxford Logic Guides, 24)

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. Content: Contents From Author's Prefaces to Previous Editions Editor's Preface A Short Biographical Sketch of Alfred Tarski First Part. Elements of Logic. Deductive Method I: On the Use of Variables II: On the Sentential Calculus III: On the Theory of Identity IV: On the Theory of Classes V: On the Theory of Relations VI: On the Deductive Method Second Part. Applications of Logic and Methodology in Constructing Mathematical Theories VII: Construction of a Mathematical Theory: Laws of Order for Numbers VIII: Construction of a Mathematical Theory: Laws of Addition and Subtraction. IX: Methodological Considerations on the Constructed TheoryX: Extension of the Constructed Theory: Foundations of Arithmetic of Real Numbers Index A B C D E F G H I K L M N O P Q R S T U V W Z. The fourth edition of a classic book on logic has been thoroughly revised by the author's son. It is a fundamental guide to modern mathematical logic and to the construction of mathematical theories. The first half covers the elements of logic, and the second half covers the applications of logic in theory building. Abstract: The fourth edition of a classic book on logic has been thoroughly revised by the author's son. It is a fundamental guide to modern mathematical logic and to the construction of mathematical theories. The first half covers the elements of logic, and the second half covers the applications of logic in theory building The fourth edition of a classic book on logic has been thoroughly revised by the author's son. It is a fundamental guide to modern mathematical logic and to the construction of mathematical theories. The first half covers the elements of logic, and the second half covers the applications of logic in theory building. A short biographical sketch of Alfred Tarski is a newly-added section. By Alfred Tarski. Includes Bibliographical References And Index.