Axioms for Type-Free Subjective Probability

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Review of Symbolic Logic 17 (2):493-508 (2024)
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Abstract

We formulate and explore two basic axiomatic systems of type-free subjective probability. One of them explicates a notion of finitely additive probability. The other explicates a concept of infinitely additive probability. It is argued that the first of these systems is a suitable background theory for formally investigating controversial principles about type-free subjective probability.

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10.1017/s1755020323000047

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Author Profiles

Cezary Cieslinski
University of Warsaw
Hannes Leitgeb
Ludwig Maximilians Universität, München

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References found in this work

Belief and the Will.Bas C. van Fraassen - 1984 - Journal of Philosophy 81 (5):235–256.
A paradox regained.D. Kaplan & R. Montague - 1960 - Notre Dame Journal of Formal Logic 1 (3):79-90.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Conditionalization, Reflection, and Self-Knowledge.Jonathan Weisberg - 2007 - Philosophical Studies 135 (2):179-197.

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