Flaminio, Tommaso, Godo, Lluis and Hosni, Hykel
(2014)
On the logical structure of de Finetti's notion of event.
Journal of Applied Logic, 12 (3).
pp. 279-301.
ISSN 1570-8683
Abstract
This paper sheds new light on the subtle relation between probability and logic by (i) providing a logical development of Bruno de Finetti's conception of events and (ii) suggesting that the subjective nature of de Finetti's interpretation of probability emerges in a clearer form against such a logical background. By making explicit the epistemic structure which underlies what we call Choice-based probability we show that whilst all rational degrees of belief must be probabilities, the converse doesn't hold: some probability values don't represent decision-relevant quantifications of uncertainty.
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