Direct and Converse Theorems
The Elements of Symbolic Logic
- 192 pages
- English
- PDF
- Only available on web
Direct and Converse Theorems
The Elements of Symbolic Logic
About This Book
Direct and Converse Theorems: The Elements of Symbolic Logic, Third Edition explains the logical relations between direct, converse, inverse, and inverse converse theorems, as well as the concept of necessary and sufficient conditions. This book consists of two chapters. The first chapter is devoted to the question of negation. Connected with the question of the negation of a proposition are interrelations of the direct and converse and also of the direct and inverse theorems; the interrelations of necessary and sufficient conditions; and the definition of the locus of a point. The second chapter explains several questions of mathematical logicâa science that is being developed in connection with the theory of mathematical proof. This edition is provided with a large number of problems and questions to help easily understand the material. The book is intended for students studying mathematics, specifically at intermediate colleges of various types. The text is also a useful reference for university students and teachers.
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Table of contents
- Front Cover
- Direct and Converse Theorems: The Elements of Symbolic Logic
- Copyright Page
- Table of Contents
- Prefatory Note
- PREFACE TO THE ENGLISH EDITION
- INTRODUCTION
- FROM THE FOREWORD TO THE FIRST EDITION
- CHAPTER I. DIRECT AND CONVERSE THEOREMS
- CHAPTER II. THE ELEMENTS OF MATHEMATICAL LOGIC
- SOLUTIONS OF THE PROBLEMS INCORPORATED IN THE TEXT