Book contents
- Frontmatter
- Contents
- 1 Introduction
- 2 Writing the second edition
- 3 Logic since the first edition
- 4 Notation and logic
- 5 Improvements in the new edition
- 6 Induction and types in Appendix B
- 7 The reception of the second edition
- 8 The list of definitions for Carnap
- Introduction to the second edition
- Appendix A
- Appendix B
- Appendix C
- Hierarchy of propositions and functions
- Amended list of propositions: notes
- Bibliography
- Index
- Plate section
8 - The list of definitions for Carnap
Published online by Cambridge University Press: 05 August 2011
- Frontmatter
- Contents
- 1 Introduction
- 2 Writing the second edition
- 3 Logic since the first edition
- 4 Notation and logic
- 5 Improvements in the new edition
- 6 Induction and types in Appendix B
- 7 The reception of the second edition
- 8 The list of definitions for Carnap
- Introduction to the second edition
- Appendix A
- Appendix B
- Appendix C
- Hierarchy of propositions and functions
- Amended list of propositions: notes
- Bibliography
- Index
- Plate section
Summary
Editorial note
This manuscript is item 111-01-01 A in the Carnap archive at the University of Pittsburgh, and is published here by their permission. The manuscript consists of 35 leaves foliated by Russell from 1 to 35. “Russell” is written by Carnap in the upper left corner of the first leaf. Russell used underlining for emphasizing what was set in print as capitalized section heads and italics. These underlined words are set in italics below. Some numbers are not in numerical order, but rather follow the order in which they are discussed in the “summary” of a given chapter. Russell adds comments and picks out theorems in a manner that reveals that he was also reading through the symbolic portion of each chapter as he composed the list. The selection of definitions is partial, but self contained, with no evidence of Russell slipping, and using symbols which were not defined earlier in the list.
Whitehead and Russell generally define a notion as a relation, and then present a more familiar form as a theorem, e.g. D'R. He says “It is easier, though less correct, to give the latter forms as Dfs. This plan is adopted forthwith.” (p.5) Notice that ✻56, the last number of the paperback reprint of PM (1962), is completed on page 7. Carnap's Abriss uses this notation and follows definitions into Volume II.
- Type
- Chapter
- Information
- The Evolution of Principia MathematicaBertrand Russell's Manuscripts and Notes for the Second Edition, pp. 189 - 213Publisher: Cambridge University PressPrint publication year: 2011