On the logical structure of de Finetti's notion of event

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

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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.

Item Type:	Article
Official URL:	http://www.sciencedirect.com/science/journal/15708...
Additional Information:	© 2014 Elsevier B.V.
Divisions:	CPNSS
Subjects:	B Philosophy. Psychology. Religion > BC Logic
JEL classification:	C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods
Date Deposited:	07 May 2014 08:35
Last Modified:	16 Oct 2024 22:21
Projects:	Managing severe uncertainty, Rethinking uncertainty, RBFR10DGUA_002, CONSOLIDER CSD2007-0022, INGENIO 2010, TIN2012-39348-C02-01, PIRSES-GA-2009-247584, IEF-GA-2012-327630
URI:	http://eprints.lse.ac.uk/id/eprint/47268

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