Hansson, Sven Ove Past probabilities. (English) Zbl 1205.03008 Notre Dame J. Formal Logic 51, No. 2, 207-223 (2010). Summary: 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. MSC: 03A05 Philosophical and critical aspects of logic and foundations 03B48 Probability and inductive logic 60A99 Foundations of probability theory Keywords:past probability; objective probability; temporal restriction; propensity; chance × Cite Format Result Cite Review PDF Full Text: DOI