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
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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