Abstract
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.
Citation
Sven Ove Hansson. "Past Probabilities." Notre Dame J. Formal Logic 51 (2) 207 - 223, 2010. https://doi.org/10.1215/00294527-2010-013
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