Volumes of The Collected Papers of Bertrand Russell


Volume 3: Toward the “Principles of Mathematics”, 1900–02

Edited by Gregory H. Moore
London and New York: Routledge, 1993.
Pages: lviii, 895.
ISBN: 978-0-415-09405-4



Illustrations
Abbreviations
Introduction
Acknowledgements
Chronology

PART I. DRAFTS OF THE PRINCIPLES OF MATHEMATICS

General Headnote
1 The Principles of Mathematics, Draft of 1899–1900
Part I Number
Part II Whole and Part
Part III Quantity
Part IV Order
Part V Continuity and Infinity
Part VI Space and Time
Part VII Matter and Motion

2 Part I of the Principles, Draft of 1901
3 Plan for Book I: The Variable [1902]

PART II. ABSOLUTE SPACE AND TIME

General Headnote
4 Is Position in Time Absolute or Relative? [1900]
5 The Notion of Order and Absolute Position in Space and Time [1901]
6 Is Position in Time and Space Absolute or Relative? [1901]

PART III. AFTER PEANO: FOUNDATIONS OF MATHEMATICS

General Headnote
7 On the Notion of Order [1901]
8 The Logic of Relations with Some Applications to the Theory of Series [1901]
9 Recent Italian Work on the Foundations of Mathematics [1901]
10 Recent Work on the Principles of Mathematics [1901]
11 Lecture II. Logic of Propositions [1901]
12 General Theory of Well-Ordered Series [1902]
13 On Finite and Infinite Cardinal Numbers [1902]
14 Continuous Series [1902]
15 On Likeness [1902]

PART IV. GEOMETRY

16 Note [1902]
17 The Teaching of Euclid [1902]
18 Geometry, Non-Euclidean [1902]





  PART V. GENERAL PHILOSOPHY

General Headnote
19 Review of Schultz, Psychologie der Axiome [1900]
20 Leibniz’s Doctrine of Substance as Deduced from His Logic [1900]
21 Review of Boutroux, L’Imagination et les mathématiques selon Descartes [1901]
22 Review of Hastie, Kant’s Cosmogony [1901]
23 Do Psychical States Have Position in Space? [1902]

APPENDICES

I Identity and Diversity
.1 Do Differences Differ?
.2 On Identity
.3 Logic Founded on Diversity
.4 On a Logic Founded on Diversity
.5 Logic Founded on Diversity
II An Assault on Russell’s Paradox
III Notes on Implication and Classes
.1 Note on all and Formal Implication
.2 The Variable
.3 Note on Class
.4 Analytic Theory of aCb
.5 Classes, Implication, and Formal Implication
IV French Text of Paper 5
V Draft and French Text of Paper 8
.1 On the Logic of Relations with Applications to Arithmetic
 and the Theory of Series
.2 Sur la logique des relations avec des applications à la
 théorie des séries
VI Outline of Paper 9
VII Draft and French Text of Paper 12
.1 On the General Theory of Well-Ordered Series
.2 Théorie générale des séries bien ordonnées
VIII French Text of Paper 16
IX Geometry
.1 On Geometry and Dimensions
.2 Geometry in the 1901–02 Lectures
X Logic and Methodology as a Subject for the B.Sc. Degree
XI General Theory of Functions

Missing and Unprinted Texts
Annotation
Textual Notes
Bibliographical Index
Symbols Index
General Index



* Bertrand Russell Research Centre * Faculty of Humanities * Bertrand Russell Archives * McMaster University



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Page maintained by Arlene Duncan. Last updated 12 April 2016.
Russell Keyword: alembics