Bets and boundaries: Assigning probabilities to imprecisely specified events
Studia Logica 90 (3):425 - 453 (2008)
| Abstract | Uncertainty and vagueness/imprecision are not the same: one can be certain about events described using vague predicates and about imprecisely specified events, just as one can be uncertain about precisely specified events. Exactly because of this, a question arises about how one ought to assign probabilities to imprecisely specified events in the case when no possible available evidence will eradicate the imprecision (because, say, of the limits of accuracy of a measuring device). Modelling imprecision by rough sets over an approximation space presents an especially tractable case to help get one’s bearings. Two solutions present themselves: the first takes as upper and lower probabilities of the event X the (exact) probabilities assigned X ’s upper and lower rough-set approximations; the second, motivated both by formal considerations and by a simple betting argument, is to treat X ’s rough-set approximation as a conditional event and assign to it a point-valued (conditional) probability. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,875 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesPeter Milne (1997). Bruno de Finetti and the Logic of Conditional Events. British Journal for the Philosophy of Science 48 (2):195-232.
B. Loewer (2001). Determinism and Chance. Studies in History and Philosophy of Science Part B 32 (4):609-620.
Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
Patrick Suppes (1966). The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics. Philosophy of Science 33 (1/2):14-21.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads8 ( #124,537 of 556,837 )Recent downloads (6 months)2 ( #39,010 of 556,837 )How can I increase my downloads? |
My notes
Discussion
