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This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high school algebra, you can learn to use mathematical logic by following the directions in this book.

Now revised and corrected, the book allows you to start with the simplest symbols and conventions and end up with a remarkable grasp of the Boole-Schroeder and Russell-Whitehead systems. It covers the study of forms, essentials of logical structure, generalization, classes, and the principal relations among them, universe of classes, the deductive system of classes, the algebra of logic, abstraction and interpretation, calculus of propositions, the assumptions of Whitehead and Russell's Principia Mathematica, and logistics. Appendices cover symbolic logic and the logic of the syllogism, the construction and use of truth-tables, and proofs of two theorems.

"One of the clearest and simplest introductions to a subject which is very much alive."—Mathematics Gazette.

Introduction

1. The Study of Forms

2. The Essentials of Logical Structure

3. The Essentials of Logical Structure (continued)

4. Generalization

5. Classes

6. Principal Relations among Classes

7. The Universe of Classes

8. The Deductive System of Classes

9. The Algebra of Logic

10. Abstraction and Interpretation

11. The Calculus of Propositions

12. The Assumptions of PRINCIPIA MATHEMATICA

13. Logistics

Appendix A: Symbolic Logic and the Logic of the Syllogism

Appendix B: Proofs of Theorems IIa and IIb

Appendix C: The Constructions and Use of Truth-Tables

Suggestions for Further Study

Susanne Katherina Langer (December 20, 1895 – July 17, 1985) was an American philosopher, writer, and educator and was well known for her theories on the influences of art on the mind. She was one of the first women in American history to achieve an academic career in philosophy and the first woman to be popularly and professionally recognized as an American philosopher. Langer is best known for her 1942 book entitled, Philosophy in a New Key. In 1960, Langer was elected a Fellow of the American Academy of Arts and Sciences.

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书籍介绍

This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high school algebra, you can learn to use mathematical logic by following the directions in this book.

Now revised and corrected, the book allows you to start with the simplest symbols and conventions and end up with a remarkable grasp of the Boole-Schroeder and Russell-Whitehead systems. It covers the study of forms, essentials of logical structure, generalization, classes, and the principal relations among them, universe of classes, the deductive system of classes, the algebra of logic, abstraction and interpretation, calculus of propositions, the assumptions of Whitehead and Russell's Principia Mathematica, and logistics. Appendices cover symbolic logic and the logic of the syllogism, the construction and use of truth-tables, and proofs of two theorems.

"One of the clearest and simplest introductions to a subject which is very much alive."—Mathematics Gazette.