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. Ajdu-kiewicz.
First published in Studia Logica XIV (1963). Reprinted from The Logico-Algebraic Approach to Quantum Mechanics, Vol I, C. A. Hooker (ed.), D. Reidel Publishing Company, Dordrecht-Holland, 1975.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
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.
Editor information
Rights and permissions
Copyright information
© 1977 PWN - Polish Scientific Publishers - Warszawa
About this chapter
Cite this chapter
łoś, J. (1977). Semantic Representation of the Probability of Formulas in Formalized Theories. In: Przełęcki, M., Wójcicki, R. (eds) Twenty-Five Years of Logical Methodology in Poland. Synthese Library, vol 87. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1126-6_18
Download citation
DOI: https://doi.org/10.1007/978-94-010-1126-6_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1128-0
Online ISBN: 978-94-010-1126-6
eBook Packages: Springer Book Archive