Title | On the logical structure of de Finetti's notion of event |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Flaminio T, Godo L, Hosni H |
Journal | Journal of Applied Logic |
Volume | 12 |
Pagination | 279-301 |
Publisher | Elsevier |
Keywords | Choice-based probability, De Finetti's coherence criterion, Events, Informations frames |
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. |
URL | http://www.sciencedirect.com/science/article/pii/S1570868314000214 |