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Principia Mathematica

Principia Mathematica
3 Volume Set

  • Date Published: March 2017
  • availability: Available
  • format: Multiple copy pack
  • isbn: 9780521067911

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  • 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.

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    Product details

    • Date Published: March 2017
    • format: Multiple copy pack
    • isbn: 9780521067911
    • length: 1994 pages
    • dimensions: 259 x 189 x 142 mm
    • weight: 3.95kg
    • availability: Available
  • 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.

  • Authors

    Alfred North Whitehead

    Bertrand Russell

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