Review of Symbolic Logic 11 (3):519-546 (2018)

Authors
Leon Horsten
Universität Konstanz
Abstract
We relate Popper functions to regular and perfectly additive such non-Archimedean probability functions by means of a representation theorem: every such non-Archimedean probability function is infinitesimally close to some Popper function, and vice versa. We also show that regular and perfectly additive non-Archimedean probability functions can be given a lexicographic representation. Thus Popper functions, a specific kind of non-Archimedean probability functions, and lexicographic probability functions triangulate to the same place: they are in a good sense interchangeable.
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DOI 10.1017/s1755020318000060
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References found in this work BETA

What Conditional Probability Could Not Be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
Fair Infinite Lotteries.Sylvia Wenmackers & Leon Horsten - 2013 - Synthese 190 (1):37-61.
A Probabilistic Semantics for Counterfactuals. Part B.Hannes Leitgeb - 2012 - Review of Symbolic Logic 5 (1):85-121.
Learning the Impossible.Vann McGee - 1994 - In Ellery Eells & Brian Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision. Cambridge University Press. pp. 179-199.

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Citations of this work BETA

Infinitesimal Probabilities.Sylvia Wenmackers - 2016 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 199-265.

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