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Physical Interpretations of the Lukasiewicz Quantum Logical Connectives

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Book cover The Foundations of Quantum Mechanics — Historical Analysis and Open Questions

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 71))

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Abstract

Lukasiewicz quantum logic is semantically characterized by the class of all quantum MV algebras. The standard model of this logic is based on effects in a Hilbert space. We discuss the physical interpretation of different kinds of conjunction that arise in this framework.

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References

  1. Chang, C.C. (1957). “Algebraic analysis of many valued logics”, Transactions of the American Mathematical Society, 88 pp.467–490.

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  5. Giuntini, R. “Quantum MV algebras”, (preprint).

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  6. Halmos, P. (1957). Introduction to Hilbert Space and Theory of Spectral Multiplicity, Van Nostrand, New York.

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Author information

Authors and Affiliations

  1. Dip. di Filosofia, Università di Firenze, Via Bolognese 52, 50139, Firenze, Italy

    M. L. Dalla Chiara & R. Giuntini

Authors
  1. M. L. Dalla Chiara
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  2. R. Giuntini
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Editor information

Editors and Affiliations

  1. Department of Physics, University of Lecce, Lecce, Italy

    Claudio Garola  & Arcangelo Rossi  & 

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© 1995 Springer Science+Business Media Dordrecht

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Chiara, M.L.D., Giuntini, R. (1995). Physical Interpretations of the Lukasiewicz Quantum Logical Connectives. In: Garola, C., Rossi, A. (eds) The Foundations of Quantum Mechanics — Historical Analysis and Open Questions. Fundamental Theories of Physics, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0029-8_16

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  • DOI: https://doi.org/10.1007/978-94-011-0029-8_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4017-4

  • Online ISBN: 978-94-011-0029-8

  • eBook Packages: Springer Book Archive

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