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What are the appropriate axioms of rationality for reasoning under uncertainty with resource-constrained systems?

Published online by Cambridge University Press:  11 March 2020

Harald Atmanspacher ,
Irina Basieva ,
Jerome R. Busemeyer Open the ORCID record for Jerome R. Busemeyer [Opens in a new window] ,
Andrei Y. Khrennikov ,
Emmanuel M. Pothos ,
Richard M. Shiffrin  and
Zheng Wang
Harald Atmanspacher
Affiliation:
Collegium Helveticum, Zürich, 8006Switzerlandatmanspacher@collegium.ethz.chhttps://collegium.ethz.ch/en/about-us/staff/pd-dr-harald-atmanspacher/
Irina Basieva
Affiliation:
Department of Psychology, City University London, LondonEC1V 0HB, United Kingdomirina.basieva@gmail.comEmmanuel.Pothos.1@city.ac.ukhttps://uk.linkedin.com/in/irina-basieva-3182b1108https://www.city.ac.uk/people/academics/emmanuel-pothos
Jerome R. Busemeyer
Affiliation:
Psychological Brain Sciences, Indiana University, IN47405jbusemey@indiana.edushiffrin@indiana.eduhttp://mypage.iu.edu/~jbusemey/home.htmlhttp://shiffrin.cogs.indiana.edu
Andrei Y. Khrennikov
Affiliation:
Department of Mathematics at Linnaeus University, Linnaeus University, 351 95Växjö, Sweden. andrei.khrennikov@lnu.sehttps://lnu.se/en/staff/andrei.khrennikov/
Emmanuel M. Pothos
Affiliation:
Department of Psychology, City University London, LondonEC1V 0HB, United Kingdomirina.basieva@gmail.comEmmanuel.Pothos.1@city.ac.ukhttps://uk.linkedin.com/in/irina-basieva-3182b1108https://www.city.ac.uk/people/academics/emmanuel-pothos
Richard M. Shiffrin
Affiliation:
Psychological Brain Sciences, Indiana University, IN47405jbusemey@indiana.edushiffrin@indiana.eduhttp://mypage.iu.edu/~jbusemey/home.htmlhttp://shiffrin.cogs.indiana.edu
Zheng Wang
Affiliation:
Department of Communication, The Ohio State University, Columbus, OH43210. wang.1243@osu.eduhttps://comm.osu.edu/people/wang.1243
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Abstract

When constrained by limited resources, how do we choose axioms of rationality? The target article relies on Bayesian reasoning that encounter serious tractability problems. We propose another axiomatic foundation: quantum probability theory, which provides for less complex and more comprehensive descriptions. More generally, defining rationality in terms of axiomatic systems misses a key issue: rationality must be defined by humans facing vague information.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 43 , 2020 , e2
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Copyright
Copyright © Cambridge University Press 2020

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