The Principle of Indifference and Imprecise Probability
Author(s) -
Rinard Susanna
Publication year - 2014
Publication title -
thought: a journal of philosophy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.429
H-Index - 8
ISSN - 2161-2234
DOI - 10.1002/tht3.118
Subject(s) - credence , space (punctuation) , mathematics , mathematical economics , point (geometry) , interval (graph theory) , extreme point , epistemology , calculus (dental) , combinatorics , statistics , philosophy , medicine , linguistics , geometry , dentistry
Sometimes different partitions of the same space each seem to divide that space into propositions that call for equal epistemic treatment. Famously, equal treatment in the form of equal point‐valued credence leads to incoherence. Some have argued that equal treatment in the form of equal interval‐valued credence solves the puzzle. This paper shows that, once we rule out intervals with extreme endpoints, this proposal also leads to incoherence.
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