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Semantic Representation of the Probability of Formulas in Formalized Theories

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The Logico-Algebraic Approach to Quantum Mechanics

Part of the book series: The University of Western Ontario Series in Philosophy of Science ((WONS,volume 5a))

Abstract

In probability theory, or rather in its foundations, there has long been a trend in favour of identifying events, i.e., objects to which probability is ascribed, with formulas of certain theories. Without adducing arguments in favour of that idea I shall confine myself to mentioning its principal representatives, namely J. M. Keynes, J. Nicod, H. Jeffreys, H. Reichenbach, R. Carnap, and in Poland J. Lukasiewicz and K. Ajdukiewicz.

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Notes

  1. The full proof of this theorem may be found in J. Łoś: Remarks on Foundations of Probability, Semantical Interpretation of the Probability of Formulas, Proceedings of the International Congress of Mathematicians 1962, Stockholm, 1963, pp. 225–229.

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© 1975 D. Reidel Publishing Company, Dordrecht, Holland

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Łoś, J. (1975). Semantic Representation of the Probability of Formulas in Formalized Theories. In: Hooker, C.A. (eds) The Logico-Algebraic Approach to Quantum Mechanics. The University of Western Ontario Series in Philosophy of Science, vol 5a. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1795-4_12

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  • DOI: https://doi.org/10.1007/978-94-010-1795-4_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0613-3

  • Online ISBN: 978-94-010-1795-4

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