Principia Mathematica

by Alfred North Whitehead, Bertrand Russell

Overview

Principia Mathematica was first published in 1910-13; this is the ninth impression of the second edition of 1925-7. The Principia has long been recognised as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a minimal number of axioms, Whitehead and Russell display the structure of both kinds of thought. No other book has had such an influence on the subsequent history of mathematical philosophy.

Product Details

ISBN-13:	9781015392854
Publisher:	Legare Street Press
Publication date:	10/26/2022
Pages:	506
Product dimensions:	6.14(w) x 9.21(h) x 1.13(d)

Table of Contents

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.