Past Probabilities
Hansson, Sven Ove
Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, p. 207-223 / Harvested from Project Euclid
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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.
Publié le : 2010-04-15
Classification:  past probability,  objective probability,  temporal restriction,  propensity,  chance,  60A99,  03B44 
@article{1276284783,
     author = {Hansson, Sven Ove},
     title = {Past Probabilities},
     journal = {Notre Dame J. Formal Logic},
     volume = {51},
     number = {1},
     year = {2010},
     pages = { 207-223},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1276284783}
}

Hansson, Sven Ove. Past Probabilities. Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, pp.  207-223. http://gdmltest.u-ga.fr/item/1276284783/