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Introduction to Mathematical Philosophy电子书

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作       者:Bertrand Russell

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出版时间:2018-02-27

字       数:34.7万

所属分类: 进口书 > 外文原版书 > 文学/自传/回忆录

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THIS book is intended essentially as an “Introduction,” and does not aim at giving an exhaustive discussion of the problems with which it deals. It seemed desirable to set forth certain results, hitherto only available to those who have mastered logical symbolism, in a form offering the minimum of difficulty to the beginner. The utmost endeavour has been made to avoid dogmatism on such questions as are still open to serious doubt, and this endeavour has to some extent dominated the choice of topics considered.
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PREFACE

EDITOR'SNOTE

CHAPTER I THE SERIES OF NATURAL NUMBERS.

CHAPTER II DEFINITION OF NUMBER

CHAPTER III FINITUDE AND MATHEMATICAL INDUCTION

CHAPTER IV THE DEFINITION OF ORDER

CHAPTER V KINDS OF RELATIONS.

CHAPTER VI SIMILARITY OF RELATIONS

CHAPTER VII RATIONAL, REAL, AND COMPLEX NUMBERS

CHAPTER VIII INFINITE CARDINAL NUMBERS

CHAPTER IX INFINITE SERIES AND ORDINALS

CHAPTER X LIMITS AND CONTINUITY

CHAPTER XI LIMITS AND CONTINUITY OF FUNCTIONS

CHAPTER XII SELECTIONS AND THE MULTIPLICATIVE AXIOM

CHAPTER XIII THE AXIOM OF INFINITY AND LOGICAL TYPES

CHAPTER XIV INCOMPATIBILITY AND THE THEORY OF DEDUCTION

CHAPTER XV PROPOSITIONAL FUNCTIONS

CHAPTER XVI DESCRIPTIONS

CHAPTER XVII CLASSES

CHAPTER XVIII MATHEMATICS AND LOGIC

INDEX

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