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Classical and Quantum Logics

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Operational Symmetries
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Abstract

It seems obvious that physics, mathematics, and logics reflect — in this order — three steps, upwards or downwards, of empirical connections or abstractions: Physics is closely connected with experiments, mathematics abstracts the structures involved, and logics, finally, is the theory of the rules for the formalization of such structures — without a detailed specification of their content.

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Notes

  1. 1.

    Rudolf Carnap (1891–1970).

  2. 2.

    George Berkeley (1685–1735).

  3. 3.

    George Boole (1815–1864).

  4. 4.

    Garrett Birkhoff (1884–1944).

  5. 5.

    Augustus De Morgan (1806–1871).

  6. 6.

    Euclid of Megara, around -(435–365).

  7. 7.

    Socrates -(469–399).

  8. 8.

    Chrysippos of Soli, around -(280–207).

  9. 9.

    Paul Bernays (1888–1977).

  10. 10.

    Giuseppe Peano (1858–1932).

  11. 11.

    Thoralf Skolem (1887–1963).

  12. 12.

    Luitzen Egbertus Jan Brouwer (1881–1966).

  13. 13.

    Émile Borel (1871–1956).

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Correspondence to Heinrich Saller .

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Saller, H. (2017). Classical and Quantum Logics. In: Operational Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-58664-9_8

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