The Logico-Algebraic Approach to Quantum Mechanics

Volume I: Historical Evolution

  • C. A. Hooker

Part of the The University of Western Ontario Series in Philosophy of Science book series (WONS, volume 5a)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Garrett Birkhoff, John Von Neumann
    Pages 1-26
  3. Hilary Putnam
    Pages 99-107
  4. Andrew M. Gleason
    Pages 123-133
  5. David J. Foulis
    Pages 141-148
  6. Neal Zierler, Michael Schlessinger
    Pages 247-262
  7. Simon Kochen, E. P. Specker
    Pages 263-276
  8. Simon Kochen, E. P. Specker
    Pages 277-292
  9. Simon Kochen, E. P. Specker
    Pages 293-328
  10. Patrick Suppes
    Pages 329-340
  11. Martin Strauss
    Pages 351-363
  12. James C. T. Pool
    Pages 395-414
  13. P. D. Finch
    Pages 415-425
  14. J. M. Jauch, C. Piron
    Pages 427-436
  15. Samuel S. Holland Jr.
    Pages 437-496
  16. N. S. Kronfli
    Pages 497-502
  17. N. S. Kronfli
    Pages 509-512
  18. C. Piron
    Pages 513-543
  19. R. J. Greechie, Stanley P. Gudder
    Pages 545-575
  20. Bas C. van Fraassen
    Pages 577-607
  21. Back Matter
    Pages 609-609

About this book


The twentieth century has witnessed a striking transformation in the un­ derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi­ tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc­ ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc­ tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip­ ulation of purely abstract structures.


physical theory probability proposition quantum mechanics quantum physics

Editors and affiliations

  • C. A. Hooker
    • 1
  1. 1.University of Western OntarioOntarioCanada

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1975
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-0613-3
  • Online ISBN 978-94-010-1795-4
  • Series Print ISSN 1566-659X
  • Buy this book on publisher's site