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On the Formal Consistency of the Principal Principle

Bana, Gergei (2016) On the Formal Consistency of the Principal Principle. [Preprint]

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Rédei and Gyenis (2013) suggest that Lewis’s Principal Principle is meaningful only if it satisfies certain consistency conditions: starting from any assignment of subjective probabilities (credences) to some algebra of events, we should always be able to extend our algebra with events of the form “the value of the objective probability (chance) of event E is p” and assign subjective probabilities to such events in a consistent manner. We show that this extension is indeed possible in most cases. However, we also argue that this requirement is not necessary: the Principal Principle concerns subjective believes about objective chance, hence events concerning those probabilities are meant to be in the algebra initially, as Lewis’s text suggests clearly.

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Item Type: Preprint
Keywords: Interpretation of Probability, Subjectivism, Principal Principle, Bayesianism
Subjects: Specific Sciences > Probability/Statistics
Depositing User: Gergei Bana
Date Deposited: 03 Feb 2016 02:48
Last Modified: 03 Feb 2016 02:48
Item ID: 11895
Subjects: Specific Sciences > Probability/Statistics
Date: 30 January 2016

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