The Principles of Mathematics (1903)* By Bertrand Russell Part I  The Indefinables of Mathematics Chapter 1  Definition of Pure Mathematics Chapter 2  Symbolic Logic Chapter 3  Implication and Formal Implication Chapter 4  Proper Names, Adjectives and Verbs Chapter 5  Denoting Chapter 6  Classes Chapter 7  Propositional Functions Chapter 8  The Variable Chapter 9  Relations Chapter 10  The Contradiction Part II  Number Chapter 11  Definition of Cardinal Numbers Chapter 12  Addition and Multiplication Chapter 13  Finite and Infinite Chapter 14  Theory of Finite Numbers Chapter 15  Addition of Terms and Addition of Classes Chapter 16  Whole and Part Chapter 17  Infinite Wholes Chapter 18  Ratios and Fractions Part III  Quantity Chapter 19  The Meaning of Magnitude Chapter 20  The Range of Quantity Chapter 21  Numbers as Expressing Magnitudes: Measurement Chapter 22  Zero Chapter 23  Infinity, The Infinitesimal and Continuity Part IV  Order Chapter 24  The Genesis of Series Chapter 25  The Meaning of Order Chapter 26  Asymmetrical Relations Chapter 27  Difference of Sense and Difference of Sign Chapter 28  The Difference Between Open and Closed Series Chapter 29  Progressions and Ordinal Numbers Chapter 30  Dedekind's Theory of Numbers Chapter 31  Distance Part V  Infinity and Continuity Chapter 32  The Correlation of Series Chapter 33  Real Numbers Chapter 34  Limits and Irrational Numbers Chapter 35  Cantor's First Definition of Continuity Chapter 36  Ordinal Continuity Chapter 37  Transfinite Cardinals Chapter 38  Transfinite Ordinals Chapter 39  The Infinitesimal Calculus Chapter 40  The Infinitesimal and the Improper Infinite Chapter 41  Philosophical Arguments Concerning the Infinitesimal Chapter 42  The Philosophy of the Continuum Chapter 43  The Philosophy of the Infinite Part VI  Space Chapter 44  Dimensions and Complex Numbers Chapter 45  Projective Geometry Chapter 46  Descriptive Geometry Chapter 47  Metrical Geometry Chapter 48  Relation of Metrical to Projective and Descriptive Geometry Chapter 49  Definitions of Various Spaces Chapter 50  The Continuity of Space Chapter 51  Logical Arguments Against Points Chapter 52  Kant's Theory of Space Part VII  Matter and Motion Chapter 53  Matter Chapter 54  Motion Chapter 55  Causality Chapter 56  Definition of a Dynamical World Chapter 57  Newton's Laws of Motion Chapter 58  Absolute and Relative Motion Chapter 59  Hertz's Dynamics Appendices and Index Appendix A  The Logical and Arithmetical Doctrines of Frege Appendix B  The Doctrine of Types                         Index *  Bertrand Russell, The Principles of Mathematics, vol. 1 (Cambridge University Press, 1903)