Infinitesimal Probabilities

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Abstract

Non-Archimedean probability functions allow us to combine regularity with perfect additivity. We discuss the philosophical motivation for a particular choice of axioms for a non-Archimedean probability theory and answer some philosophical objections that have been raised against infinitesimal probabilities in general.

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Benci, V., Horsten, L., & Wenmackers, S. (2018). Infinitesimal Probabilities. British Journal for the Philosophy of Science, 69(2), 509–552. https://doi.org/10.1093/bjps/axw013

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