A Bayesian View on the Dr. Evil Scenario

Abstract In Defeating Dr. Evil with Self-Locating Belief, Adam Elga proposes and defends a principle of indifference for self-locating beliefs: if an individual is confident that his world contains more than one individual who is in a state subjectively indistinguishable from his own, t...

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Main Authors: Azhar, Feraz, Guth, Alan H., Namjoo, Mohammad H.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: Springer Netherlands 2022
Online Access:https://hdl.handle.net/1721.1/143557
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author Azhar, Feraz
Guth, Alan H.
Namjoo, Mohammad H.
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Azhar, Feraz
Guth, Alan H.
Namjoo, Mohammad H.
author_sort Azhar, Feraz
collection MIT
description Abstract In Defeating Dr. Evil with Self-Locating Belief, Adam Elga proposes and defends a principle of indifference for self-locating beliefs: if an individual is confident that his world contains more than one individual who is in a state subjectively indistinguishable from his own, then he should assign equal credences to the hypotheses that he is any one of these individuals. Through a sequence of thought experiments, Elga in effect claims that he can derive the credence function that should apply in such situations, thus justifying his principle of indifference. Here we argue, using a Bayesian approach, that Elga’s reasoning is circular: in analyzing the third of his thought experiments, he uses an assertion that is justifiable only if one assumes, from the start, the principle of indifference that he is attempting to justify. We agree with Elga that the assumption of equal credences is a very reasonable principle, in the absence of any reason to assign unequal credences, but we do not agree that the equality of credences can be so derived.
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spelling mit-1721.1/1435572024-09-17T04:27:10Z A Bayesian View on the Dr. Evil Scenario Azhar, Feraz Guth, Alan H. Namjoo, Mohammad H. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Massachusetts Institute of Technology. Center for Theoretical Physics Abstract In Defeating Dr. Evil with Self-Locating Belief, Adam Elga proposes and defends a principle of indifference for self-locating beliefs: if an individual is confident that his world contains more than one individual who is in a state subjectively indistinguishable from his own, then he should assign equal credences to the hypotheses that he is any one of these individuals. Through a sequence of thought experiments, Elga in effect claims that he can derive the credence function that should apply in such situations, thus justifying his principle of indifference. Here we argue, using a Bayesian approach, that Elga’s reasoning is circular: in analyzing the third of his thought experiments, he uses an assertion that is justifiable only if one assumes, from the start, the principle of indifference that he is attempting to justify. We agree with Elga that the assumption of equal credences is a very reasonable principle, in the absence of any reason to assign unequal credences, but we do not agree that the equality of credences can be so derived. 2022-06-27T15:25:56Z 2022-06-27T15:25:56Z 2022-06-21 2022-06-26T03:14:42Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143557 Azhar, Feraz, Guth, Alan H. and Namjoo, Mohammad H. 2022. "A Bayesian View on the Dr. Evil Scenario." PUBLISHER_CC en https://doi.org/10.1007/s10670-022-00536-8 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf application/pdf Springer Netherlands Springer Netherlands
spellingShingle Azhar, Feraz
Guth, Alan H.
Namjoo, Mohammad H.
A Bayesian View on the Dr. Evil Scenario
title A Bayesian View on the Dr. Evil Scenario
title_full A Bayesian View on the Dr. Evil Scenario
title_fullStr A Bayesian View on the Dr. Evil Scenario
title_full_unstemmed A Bayesian View on the Dr. Evil Scenario
title_short A Bayesian View on the Dr. Evil Scenario
title_sort bayesian view on the dr evil scenario
url https://hdl.handle.net/1721.1/143557
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