## Notre Dame Journal of Formal Logic

### Past Probabilities

Sven Ove Hansson

#### 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.

#### Article information

Source
Notre Dame J. Formal Logic Volume 51, Number 2 (2010), 207-223.

Dates
First available in Project Euclid: 11 June 2010

Permanent link to this document
http://projecteuclid.org/euclid.ndjfl/1276284783

Digital Object Identifier
doi:10.1215/00294527-2010-013

Mathematical Reviews number (MathSciNet)
MR2667933

Zentralblatt MATH identifier
05758438

Subjects
Primary: 60A99: None of the above, but in this section
Secondary: 03B44: Temporal logic

#### Citation

Hansson, Sven Ove. Past Probabilities. Notre Dame J. Formal Logic 51 (2010), no. 2, 207--223. doi:10.1215/00294527-2010-013. http://projecteuclid.org/euclid.ndjfl/1276284783.

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