Introduction to logic and to the methodology of the deductive sciences
著者
書誌事項
Introduction to logic and to the methodology of the deductive sciences
（Oxford logic guides, 24）
Oxford University Press, 1994
4th ed. / edited by Jan Tarski
- タイトル別名
-
O logice matematycznej i metodzie dedukcyjnej
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Now in it's fourth edition, this classic work on logic presents the student with a clear, concise introduction to the subject of logic and its apllications. The first part of the book introduces the concepts and principles which make up the elements of logic, demonstrating that the concepts of logic are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The book goes on to show the applications of logic in
mathematical theory building using concrete examples, drawing upon the concepts and principles presented in the first section. An introduction to the theory of real numbers is also presented. Exercises are included, designed to assist in the assimilation of the concepts and principles. Throughout
the conceptual side or logic is stressed.
Thoroughly revised by the author's son, the book remains a fundametal guide to modern mathematica logic and is a very important addition to this highly successful series.
目次
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
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