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Mathematics as Logical Syntax — A Method to Formalize the Language of a Physical Theory

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Book cover Modern Physics and its Philosophy

Part of the book series: Synthese Library ((SYLI,volume 43))

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Abstract

I intend to explain a method of formalizing the language of a given physical theory. The essential part of this method consists in introducing descriptive predicates uniquely related to mathematical entities and hence using the mathematical formalism of the given theory to establish the logical syntax of the formalized language.

Revised reprint from Journal of Unified Science, (Erkenntnis) 7 (1938) 147–53.

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Notes

  1. M. Strauss, ‘Zur Begründung der statistischen Transformationstheorie der Quanten- physik’, Sitzungsberichte der Berliner Akademie der Wissenschaften, phys.-math. Kl. 27 (1936) 382–98.

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  2. M. Strauss, ‘Komplementarität und Kausalität im Lichte der Logischen Syntax’, Erkenntnis 6 (1937) 335–9.

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  3. G. Birkhoff and J. v. Neumann, ‘The Logic of Quantum Mechanics’, Annals of Mathematics 37 (1936) 823–43.

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  4. H. Reichenbach,Wahrscheinlichkeitslehre, Leiden 1935, p. 118.

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© 1972 D. Reidel Publishing Company, Dordrecht, Holland

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Strauss, M. (1972). Mathematics as Logical Syntax — A Method to Formalize the Language of a Physical Theory. In: Modern Physics and its Philosophy. Synthese Library, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2893-6_6

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  • DOI: https://doi.org/10.1007/978-94-010-2893-6_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2895-0

  • Online ISBN: 978-94-010-2893-6

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