Notre Dame Journal of Formal Logic
- Notre Dame J. Formal Logic
- Volume 51, Number 2 (2010), 207-223.
The probability that a fair coin tossed yesterday landed heads is either 0 or 1, but the probability that it would land heads was 0.5. In order to account for the latter type of probabilities, past probabilities, a temporal restriction operator is introduced and axiomatically characterized. It is used to construct a representation of conditional past probabilities. The logic of past probabilities turns out to be strictly weaker than the logic of standard probabilities.
Notre Dame J. Formal Logic Volume 51, Number 2 (2010), 207-223.
First available in Project Euclid: 11 June 2010
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Hansson, Sven Ove. Past Probabilities. Notre Dame J. Formal Logic 51 (2010), no. 2, 207--223. doi:10.1215/00294527-2010-013. https://projecteuclid.org/euclid.ndjfl/1276284783.