《数学原理》的演化伯特兰·罗素撰写第2版时的手稿与笔记_（加）伯纳德·林斯基.pdf

CAMBRIDGEThe Evolution of Principia MathematicaBertrand Russells Manuseripts and Notes for the Second Edition国外优秀数学著作原版系列数学原理的演化伯特兰罗素撰写第二版时的手稿与笔记加伯纳德林斯基(Bernard Linsky)著哈霸滚之常大，学出版社HARBIN INSTITUTE OF TECHNOLOGY PRESSHT国外优秀数学著作原版系列|加伯纳德林斯基（田e-3厂-59-伯特兰罗素撰写第二版时的手稿与一数学原理)的演化08080680HIT自己1A8226770711T0120-00773789略稱濱口業大學出版社惠原爪家黑版贸审字08-2017-117号This is a Reprint Edition of the following title published by CambridgeUniversity Press:The Evolution of Principia Mathematica:Bertrand Russells Manuscripts andNotes for the Second Edition9781107003279Cambridge University Press 2011This Reprint Edition for the Peoples Republic of China(excluding HongKong,Macau and Taiwan)is published by arrangement with the Press Syndi-cate of the University of Cambridge,Cambridge,United Kingdom.Cambridge University Press and Harbin Institute of Technology Press2018This Reprint Edition is authorized for sale in the Peoples Republic of China(excluding Hong Kong,Macau and Taiwan)only.Unauthorized export ofthis Reprint Edition is a violation of the Copyright Act.No part of this publi-cation may be reproduced or distributed by any means,or stored in a databaseor retrieval system,without the prior written permission of Cambridge Uni-versity Press and Harbin Institute of Technology Press.图书在版编目(CIP)数据数学原理的演化：伯特兰罗素撰写第二版时的手稿与笔记=TheEvolution of Principia Mathematica:Bertrand Russells Manuscripts andNotes for the Second Edition:英文/（加）伯纳德林斯基(Bernard Linsky)著.一哈尔滨：哈尔滨工业大学出版社，2018.5ISBN978-7-5603-7259-4I.数.伯.数学理论一英文N.01-0中国版本图书馆CIP数据核字(2018)第026620号策划编辑刘培杰责任编辑张永芹钱辰琛封面设计孙茵艾出版发行哈尔滨工业大学出版社社哈尔滨市南岗区复华四道街10号邮编150006真0451-86414749网址http:/印刷哈尔滨市工大节能印刷厂开本787mm1092mm1/16印张28.5字数598千字版次2018年5月第1版2018年5月第1次印刷号ISBN978-7-5603-7259-4定价108.00元(如因印装质量问题影响阅读，我社负责调换)THE EVOLUTION OF PRINCIPIA MATHEMATICABertrand Russells Manuscripts and Notes for the Second EditionOriginally published in 1910,Principia Mathematica led to the development ofmathematical logic and computers and thus to information sciences.It became amodel for modern analytic philosophy and remains an important work.In the late 1960s,The Bertrand Russell Archives at McMaster University inCanada obtained Russells papers,letters and library.These archives contained themanuscripts for the new Introduction and three appendices that Russell added tothe second edition in 1925.Also included was another manuscript,The Hierarchyof Propositions and Functions,which was divided up and reused to create thefinal changes for the second edition.These documents provide fascinating insight,including Russells attempts to work out the theorems in the flawed Appendix B,On Induction.An extensive introduction describes the stages of the manuscriptmaterial on the way to print,and analyzes the proposed changes in the context ofthe development of symbolic logic after 1910.BERNARD LINSKY is a Professor in the Department of Philosophy at the Univer-sity of Alberta.Contents1 Introductionpage 11.1 The manuscripts91.2 Acknowledgements102 Writing the second edition132.1 The list of definitions for Carnap142.2 A.N.Whitehead and the second edition152.3 Hierarchy of propositions and functions192.4 Working papers for Appendix C212.5 Amended list of propositions222.6 Corrections to the first edition232.7 Frank Ramsey and the second edition302.8 Printing the second edition363 Logic since the first edition393.1 Cambridge and Dr Williams Library413.2 Contributions since the first edition474 Notation and logic734.1 Primitive symbols and punctuation734.2 Propositional functions and logical types834.3 Real and apparent variables884.4 The axiom of reducibility:*12-Identity:*13914.5 Definite descriptions:*14944.6 Classes:*20974.7 General theory of relations:*211004.8 Logic of relations:*30-*40 and beyond1025 Improvements in the new edition1085.1 Occur through its values112i