Notre Dame Journal of Formal Logic 51 (2):207-223 (2010)

Authors
Sven Ove Hansson
Royal Institute of Technology, Stockholm
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
Keywords past probability   objective probability   temporal restriction   propensity   chance
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DOI 10.1215/00294527-2010-013
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References found in this work BETA

Correcting the Guide to Objective Chance.Ned Hall - 1994 - Mind 103 (412):505-518.
Probability and Conditionals.Robert C. Stalnaker - 1970 - Philosophy of Science 37 (1):64-80.
Two Mistakes About Credence and Chance.Ned Hall - 2004 - Australasian Journal of Philosophy 82 (1):93 – 111.
The Two Concepts of Probability: The Problem of Probability.Rudolf Carnap - 1945 - Philosophy and Phenomenological Research 5 (4):513-532.

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