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The Quantum Logical Challenge: Peter Mittelstaedt’s Contributions to Logic and Philosophy of Science

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Abstract

Peter Mittelstaedt’s contributions to quantum logic and to the foundational problems of quantum theory have significantly realized the most authentic spirit of the International Quantum Structures Association: an original research about hard technical problems, which are often “entangled” with the emergence of important changes in our general world-conceptions. During a time where both the logical and the physical community often showed a skeptical attitude towards Birkhoff and von Neumann’s quantum logic, Mittelstaedt brought into light the deeply innovating features of a quantum logical thinking that allows us to overcome some strong and unrealistic assumptions of classical logical arguments. Later on his intense research on the unsharp approach to quantum theory and to the measurement problem stimulated the increasing interest for unsharp forms of quantum logic, creating a fruitful interaction between the work of quantum logicians and of many-valued logicians. Mittelstaedt’s general views about quantum logic and quantum theory seem to be inspired by a conjecture that is today more and more confirmed: there is something universal in the quantum theoretic formalism that goes beyond the limits of microphysics, giving rise to interesting applications to a number of different fields.

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Notes

  1. See [1, 2, 6].

  2. [5], Introduction, p.x.

  3. [5], p. 50–51.

  4. [5], p. 51.

  5. [5], p. 51.

  6. [5], p. 51.

  7. [5], p. 65.

  8. [5], p. 69.

  9. [4], p. 258.

References

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  4. Mittelstaedt, P.: Individual Objects, Kinds and the Identity of Indiscernibles in Physics Waves, Information and Foundations of Physics. A Tribute to Giuliano Toraldo di Francia on his 80th Birthday, Florence 1996, Proceedings of the Italian Physical Society, Florence, 1996

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  6. Stachow, E.-W.: Completeness of Quantum Logic. J. Philos. Log. 5, 237–280 (1976)

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, I-16146, Genova, Italy

    E. Beltrametti

  2. Dipartimento di Lettere e Filosofia, Università di Firenze, Via Bolognese 52, I-50139, Firenze, Italy

    M. L. Dalla Chiara

  3. Dipartimento di Pedagogia, Psicologia, Filosofia, Università di Cagliari, Via Is Mirrionis 1, I-09123, Cagliari, Italy

    R. Giuntini

Authors
  1. E. Beltrametti
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  2. M. L. Dalla Chiara
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  3. R. Giuntini
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Correspondence to R. Giuntini.

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Beltrametti, E., Dalla Chiara, M.L. & Giuntini, R. The Quantum Logical Challenge: Peter Mittelstaedt’s Contributions to Logic and Philosophy of Science. Int J Theor Phys 56, 3935–3940 (2017). https://doi.org/10.1007/s10773-017-3383-x

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  • DOI: https://doi.org/10.1007/s10773-017-3383-x

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