Introduction to Logic and the Methodology of Deductive Sciences (Softcover)
Introduction to Logic and the Methodology of Deductive Sciences (Softcover)
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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear. The pages are clean and the binding is tight.Product Details
From the back cover: "First published in Polish in 1936, this classic work was originally written as a popular scientific book—one that would present to the educated layman a clear picture of certain powerful trends of thought in modern logic. According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge."Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a textbook on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.
"Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundations of mathematics."
BRIEF CONTENTS
- Preface
- From the Preface to the Original Edition
- 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 Theory
- X. Extension of the Constructed Theory. Foundations of Arithmetic of Real Numbers
- Suggested Readings
- Index
From the publisher: "This Dover edition, first published in 1995, is an unabridged republication of the 9th printing, 1961, of the 1946 second, revised edition of the work originally published by Oxford University Press, New York, in 1941."
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PUBLISHER: Dover Publications
ISBN-13: 9780486284620
ISBN-10: 048628462X