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Unbounded expectations and the Shooting Room

McCutcheon, Randall (2018) Unbounded expectations and the Shooting Room. [Preprint]

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Abstract

Several treatments of the Shooting Room Paradox have failed to recognize the crucial role played by its involving a number of players unbounded in expectation. We indicate Reflection violations and other vulnerabilities in extant proposals, then show that the paradox does not arise when the expected number of participants is finite; the Shooting Room thus takes its place in the growing list of puzzles that have been shown to require infinite expectation. Recognizing this fact, we conclude that prospects for a ``straight solution" are dim.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
McCutcheon, Randallcutch17@yahoo.com0000-0002-5305-3662
Additional Information: No longer in development. (Previous versions rejected by Mind, Philosophical Quarterly, Synthese, Analysis, Philosophy of Science, Thought and Ergo.)
Keywords: Shooting Room, Countable Additivity, Reflection
Subjects: General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Depositing User: Dr. Randall G. McCutcheon
Date Deposited: 03 May 2019 21:55
Last Modified: 03 May 2019 21:55
Item ID: 15968
Subjects: General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Date: 19 September 2018
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/15968

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