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 WellOrdered 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, NonEuclidean [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 WellOrdered 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
