Principles of Mathematics 数学原理（罗素著） 网盘下载 pdf 免费 2025 在线 epub 电子版

　　A precursor to Russell’s famous Principa Mathematica,

this is one of the most original and comprehensive treatises on the

logical foundation of mathematics available today.

INTRODUCTION TO THE 1992 EDITION

INTRODUCTION TO THE SECOND EDITION

PREFACE

PART I THE INDEFINABLES OF MATHEMATICS

 1  . Definition ofPure Mathematics

　　1. Delnition of dure mathematics

    2. The principles of mathematics:are.no

longercontroversial 

    3. Pure mathematics uses onlya few notions,and

these are logical constants

    4. All pure mathematics follows formally

fromtwenty premisses

    5. Asserts formal implications .

    6. And employs variables

    7. Which may have any value without

exception

    8. mathematics deals with typesof

relations.

    9: Applied mathematics is defined by,the, "

occurrence of'constants which are not logcal

    10.  Relation of mathematics to logic 

'

 2  Symbolic Logic

    11.  Definition and scope of symbolic

Iogic

    12.  The indefinables of symbolic

logic,

    13.  Symbolic logic consists ofthree

parts

　……

Bertrand Russell (1872-1970). A celebrated mathematician and logician, Russell was and remains one of the most genuinely widely read and popular philosophers of modern times.

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　　First published in 1903,

Principles of Mathematics

was Bertrand Russell’s first major work in print. It was this title

which saw him begin his ascent towards eminence. In this

groundbreaking and important work, Bertrand Russell argues that

mathematics and logic are, in fact, identical and what is commonly

called mathematics is simply later deductions from logical

premises. Highly influential and engaging, this important work led

to Russell’s dominance of analytical logic on western philosophy in

the twentieth century.

书籍介绍

A precursor to Russell’s famous Principa Mathematica , this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.