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A Structural Justification of Probabilism: From Partition Invariance to Subjective Probability

Published online by Cambridge University Press:  01 January 2022

Hannes Leitgeb
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Abstract

A new justification of probabilism is developed that pays close attention to the structure of the underlying space of possibilities. Its central assumption is that rational numerical degrees of belief ought to be partition invariant. By means of a representation theorem, one can prove that if graded belief satisfies the resulting set of postulates, rational degrees of belief may be identified with probabilities.

Type
Research Article
Information
Philosophy of Science , Volume 88 , Issue 2 , April 2021 , pp. 341 - 365
Copyright
Copyright © The Philosophy of Science Association

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