A Bayesian Approach to the Simulation Argument

The Simulation Argument posed by Bostrom suggests that we may be living inside a sophisticated computer simulation. If posthuman civilizations eventually have both the capability and desire to generate such Bostrom-like simulations, then the number of simulated realities would greatly exceed the one...

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Main Author: David Kipping
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/8/109
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author David Kipping
author_facet David Kipping
author_sort David Kipping
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description The Simulation Argument posed by Bostrom suggests that we may be living inside a sophisticated computer simulation. If posthuman civilizations eventually have both the capability and desire to generate such Bostrom-like simulations, then the number of simulated realities would greatly exceed the one base reality, ostensibly indicating a high probability that we do not live in said base reality. In this work, it is argued that since the hypothesis that such simulations are technically possible remains unproven, statistical calculations need to consider not just the number of state spaces, but the intrinsic model uncertainty. This is achievable through a Bayesian treatment of the problem, which is presented here. Using Bayesian model averaging, it is shown that the probability that we are sims is in fact less than 50%, tending towards that value in the limit of an infinite number of simulations. This result is broadly indifferent as to whether one conditions upon the fact that humanity has not yet birthed such simulations, or ignore it. As argued elsewhere, it is found that if humanity does start producing such simulations, then this would radically shift the odds and make it very probably we are in fact simulated.
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spelling doaj.art-77678bc101cf4bf39af35fc5f552bd422023-11-20T08:54:14ZengMDPI AGUniverse2218-19972020-08-016810910.3390/universe6080109A Bayesian Approach to the Simulation ArgumentDavid Kipping0Department of Astronomy, Columbia University, 550 W 120th Street, New York, NY 10027, USAThe Simulation Argument posed by Bostrom suggests that we may be living inside a sophisticated computer simulation. If posthuman civilizations eventually have both the capability and desire to generate such Bostrom-like simulations, then the number of simulated realities would greatly exceed the one base reality, ostensibly indicating a high probability that we do not live in said base reality. In this work, it is argued that since the hypothesis that such simulations are technically possible remains unproven, statistical calculations need to consider not just the number of state spaces, but the intrinsic model uncertainty. This is achievable through a Bayesian treatment of the problem, which is presented here. Using Bayesian model averaging, it is shown that the probability that we are sims is in fact less than 50%, tending towards that value in the limit of an infinite number of simulations. This result is broadly indifferent as to whether one conditions upon the fact that humanity has not yet birthed such simulations, or ignore it. As argued elsewhere, it is found that if humanity does start producing such simulations, then this would radically shift the odds and make it very probably we are in fact simulated.https://www.mdpi.com/2218-1997/6/8/109simulation argumentBayesian inference
spellingShingle David Kipping
A Bayesian Approach to the Simulation Argument
Universe
simulation argument
Bayesian inference
title A Bayesian Approach to the Simulation Argument
title_full A Bayesian Approach to the Simulation Argument
title_fullStr A Bayesian Approach to the Simulation Argument
title_full_unstemmed A Bayesian Approach to the Simulation Argument
title_short A Bayesian Approach to the Simulation Argument
title_sort bayesian approach to the simulation argument
topic simulation argument
Bayesian inference
url https://www.mdpi.com/2218-1997/6/8/109
work_keys_str_mv AT davidkipping abayesianapproachtothesimulationargument
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