A probability measure for partial events

Studia Logica 94 (2):271 - 290 (2010)
Abstract
We introduce the concept of partial event as a pair of disjoint sets, respectively the favorable and the unfavorable cases. Partial events can be seen as a De Morgan algebra with a single fixed point for the complement. We introduce the concept of a measure of partial probability, based on a set of axioms resembling Kolmogoroff’s. Finally we define a concept of conditional probability for partial events and apply this concept to the analysis of the two-slit experiment in quantum mechanics.
Keywords non-classical probability  partial events  partial logic  quantum mechanics
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