Huber, Franz (2014) What is the Permissibility Solution a Solution of? -- A Question for Kroedel. [Preprint]

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Abstract

Kroedel (2012; 2013a; 2013b) has proposed a new solution, the permissibility solution, to the lottery paradox. The lottery paradox results from the Lockean thesis according to which one ought to believe a proposition just in case one’s degree of belief in it is sufficiently high. The permissibility solution replaces the Lockean thesis by the permissibility thesis according to which one is permitted to believe a proposition if one’s degree of belief in it is sufficiently high. This note shows that the epistemology of belief that results from the permissibility thesis and the epistemology of degrees of belief is empty in the sense that one need not believe anything, even if one’s degrees of belief are maximally bold. Since this result can also be achieved by simply dropping the Lockean thesis, or by replacing it with principles that are logically stronger than the permissibility thesis, the question arises what the permissibility solution is a solution of.

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Item Type:	Preprint
Creators:	Creators Email ORCID Huber, Franz franz.huber@utoronto.ca
Subjects:	General Issues > Confirmation/Induction General Issues > Decision Theory Specific Sciences > Probability/Statistics General Issues > Theory Change
Depositing User:	Unnamed user with email franz.huber@utoronto.ca
Date Deposited:	09 Jul 2014 14:10
Last Modified:	09 Jul 2014 14:10
Item ID:	10831
Subjects:	General Issues > Confirmation/Induction General Issues > Decision Theory Specific Sciences > Probability/Statistics General Issues > Theory Change
Date:	2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10831

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