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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
Affiliation:
Collegium Helveticum, Zürich, [email protected]://collegium.ethz.ch/en/about-us/staff/pd-dr-harald-atmanspacher/
Irina Basieva
Affiliation:
Department of Psychology, City University London, LondonEC1V 0HB, United [email protected]@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, [email protected]@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. [email protected]://lnu.se/en/staff/andrei.khrennikov/
Emmanuel M. Pothos
Affiliation:
Department of Psychology, City University London, LondonEC1V 0HB, United [email protected]@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, [email protected]@indiana.eduhttp://mypage.iu.edu/~jbusemey/home.htmlhttp://shiffrin.cogs.indiana.edu
Zheng Wang
Affiliation:
Department of Communication, The Ohio State University, Columbus, OH43210. [email protected]://comm.osu.edu/people/wang.1243

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
Copyright
Copyright © Cambridge University Press 2020

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