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书名 数学原理的演化--伯特兰·罗素撰写第二版时的手稿与笔记(英文版)/国外优秀数学著作原版系列
分类 科学技术-自然科学-数学
作者 (加)伯纳德·林斯基
出版社 哈尔滨工业大学出版社
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简介
内容推荐
1910年罗素的《数学原理》第一版出版,该书促使了数理逻辑和计算机科学的发展,从而推动了信息科学的进步。它成为现代分析哲学的模型,至今仍然占据着重要的地位。
伯纳德·林斯基著的《数学原理的演化——伯特兰·罗素撰写第二版时的手稿与笔记(英文版)》内容来自于存档于加拿大麦克马斯特大学的罗素的论文、信件和笔记,涉及罗素于1910年出版的《数学原理》一书的最新介绍和附录,这些内容展示了罗素不可思议的数学眼界。
本书适合高年级本科生、研究生,以及数学爱好者参考阅读。
目录
1 Introduction
1.1 The manuscripts
1.2 Acknowledgements
2 Writing the second edition
2.1 The list of definitions for Carnap
2.2 A.N. Whitehead and the second edition
2.3 Hierarchy of propositions and functions
2.4 Working papers for Appendix C
2.5 Amended list of propositions
2.6 Corrections to the first edition
2.7 Frank Ramsey and the second edition
2.8 Printing the second edition
3 Logic since the first edition
3.1 Cambridge and Dr Williams' Library
3.2 Contributions since the first edition
4 Notation and logic
4.1 Primitive symbols and punctuation
4.2 Propositional functions and logical types
4.3 Real and apparent variables
4.4 The axiom of reducibility: *12- Identity: *13
4.5 Definite descriptions: *14
4.6 Classes: *20
4.7 General theory of relations: *21
4.8 Logic of relations: *30-*40 and beyond
5 Improvements in the new edition
5.1 Occur through its values
5.2 No logical matrix of the form f!(φ!z)
5.3 Variables and quantifiers
5.4 The Sheffer stroke
5.5 Reducibility and extensionality
5.6 Appendix C
6 Induction and types in Appendix B
6.1 Induction and inductive classes
6.2 The project of Appendix B
6.3 Myhill's challenge to ,89.24
6.4 The error in Appendix B
6.5 The proof of ,89-16
6.6 Types in Appendix B
6.7 Identity in Appendix B
6.8 The "rectification" of induction
6.9 Summary of results about Appendix B
7 The reception of the second edition
7.1 "The foundations of mathematics"
7.2 Carnap's Abriss der Logistik
7.3 Hilbert and Ackermann
7.4 Other "German authorities"
7.5 Reviews of the second edition
8 The list of definitions for Carnap
8.1 Editorial note
8.2 The list
Introduction to the second edition
Editorial note
The manuscript
Appendix A
Editoral note
Appendix A: manuscript
Appendix B
Editorial note
Appendix B: manuscript
Appendix C
Editorial note
Appendix C: manuscript
Hierarchy of propositions and functions
Reconstructing the original manuscript
The remaining HPF leaves
Amended list of propositions: notes
Editorial note
Russell's notes
Bibliography
Bertrand Russell's published works
Unpublished letters
References
Index
编辑手记
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