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Study of Piron's system of questions and propositions

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Abstract

A formal system of “questions” and “propositions” conceived by C. Piron and claimed to yield by interpretation quantum mechanics as well as all other known physical theories is examined. It is proved that the mentioned system is syntactically self-consistent in the sense of the theory of models. However, it is found that the mentioned formal system possesses certain syntactic characteristics in consequence of which qualification of this system as a generator of quantum mechanics by interpretation encounters semantic obstacles so grave that they annihilate any relevance of such a qualification.

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References

  1. G. Birkhoff and J. von Neumann,Ann. Math. 37, 823 (1936).

    Google Scholar 

  2. C. Piron,Helv. Phys. Acta 37, 439 (1964).

    Google Scholar 

  3. J. M. Jauch,Foundations of Quantum Mechanics (Addison-Wesley, Reading, Mass., 1968).

    Google Scholar 

  4. S. Watanabe,Knowing and Guessing (Wiley-Interscience, New York, 1969).

    Google Scholar 

  5. C. Piron,Foundations of Quantum Physics (W. A. Benjamin, Reading, Massachusetts, 1976).

    Google Scholar 

  6. C. Piron,Found. Phys. 2, 287 (1972).

    Google Scholar 

  7. J. M. Jauch and C. Piron,Helv. Phys. Acta 42, 842 (1969).

    Google Scholar 

  8. J. F. Pabion,Logique Mathématique (Hermann, Paris, 1976).

    Google Scholar 

  9. R. J. Greechie and S. P. Gudder, inContemporary Research in the Foundations and Philosophy of Quantum Mechanics, C. A. Hooker, ed. (D. Reidel, Dordrecht, Holland, 1974).

    Google Scholar 

  10. B. Misra, inPhysical Reality and Mathematical Description, C. P. Enz and J. Mehra, eds. (D. Reidel, Dordrecht, Holland, 1974).

    Google Scholar 

  11. J. M. Jauch and C. Piron, inQuanta, P. Freund, C. Goebel, and Y. Nambu, eds. (University of Chicago Press, Chicago, 1970).

    Google Scholar 

  12. B. Mielnik, inQuantum Mechanics, Determinism, Causality, and Particles, M. Flato, Z. Maric, A. Milojevic, D. Sternheimer, and J. P. Vigier, eds. (D. Reidel, Dordrecht, Holland, 1976).

    Google Scholar 

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Hadjisavvas, N., Thieffine, F. & Mugur-Schächter, M. Study of Piron's system of questions and propositions. Found Phys 10, 751–765 (1980). https://doi.org/10.1007/BF00708421

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  • DOI: https://doi.org/10.1007/BF00708421

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