Review of Symbolic Logic:1-16 (forthcoming)

Authors
Michael Nielsen
University of Sydney
Abstract
This paper contributes to a recent research program that extends arguments supporting elementary conditionalization to arguments supporting conditionalization with general, measure-theoretic conditional probabilities. I begin by suggesting an amendment to the framework that Rescorla (2018) has used to characterize regular conditional probabilities in terms of avoiding Dutch book. If we wish to model learning scenarios in which an agent gains complete membership knowledge about some subcollection of the events of interest to her, then we should focus on updating policies that are what I shall call proper. I go on to characterize regular conditional probabilities in proper learning scenarios using what van Fraassen (1999) calls The General Reflection Principle.
Keywords Conditionalization  Updating  Learning  Regular Conditional Probability  Reflection Principle
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DOI 10.1017/s1755020320000179
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References found in this work BETA

The Foundations of Statistics.Leonard J. Savage - 1956 - Philosophy of Science 23 (2):166-166.
Belief and the Will.Bas C. van Fraassen - 1984 - Journal of Philosophy 81 (5):235-256.

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