Principia Mathematica 3 Volume Set

Volume 1: Preface; Alphabetical list of propositions referred to by names; Introduction to the second edition; Introduction; Part I. Mathematical Logic: 1. The theory of deduction; 2. Theory of apparent variables; 3. Classes and relations; 4. Logic of relations; 5. Products and sums of classes; Part II. Prolegomena to Cardinal Arithmetic: 6. Unit classes and couples; 7. Sub-classes, sub-relations, and relative types; 8. One-many, many-one, and one-one relations; 9. Selections; 10. Inductive relations; Appendixes; List of definitions. Volume II: Prefactory statement of symbolic conventions; Part III. Cardinal Arithmetic: 11. Definition and logical properties of cardinal numbers; 12. Addition, multiplication and exponentiation; 13. Finite and infinite; Part IV. Relation-Arithmetic: 14. Ordinal similarity and relation-numbers; 15. Addition of relations, and the product of two relations; 16. The principle of first differences, and the multiplication and exponentiation of relations; 17. Arithmetic of relation-numbers; Part V. Series: 18. General theory of series; 19. On sections, segments, streches, and derivatives; 20. On convergence, and the limits of functions. Volume III: Part V. Series (continued): 21. Well-ordered series; 22. Finite and infinite series and ordinals; 23. Compact studies, rational series, and continuous series; Part VI. Quantity: 24. Generalization of number; 25. Vector-families; 26. Measurement; 27. Cyclic families.