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Cognition and ConditionalsProbability and Logic in Human Thinking$
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Mike Oaksford and Nick Chater

Print publication date: 2010

Print ISBN-13: 9780199233298

Published to Oxford Scholarship Online: March 2012

DOI: 10.1093/acprof:oso/9780199233298.001.0001

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The logical response to a noisy world

The logical response to a noisy world

Chapter:
(p.85) Chapter 5 The logical response to a noisy world
Source:
Cognition and Conditionals
Author(s):

Keith Stenning

Michiel van Lambalgen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199233298.003.0005

Interpretation processes are necessary, whether one then applies probability theory or some other logic in reasoning from the resulting interpretations. In the case of suppression, understood in probabilistic terms, interpretation shows up as the necessity to change one's probabilities in ways not sanctioned by Bayesianism. This chapter argues that a computational level analysis, in the sense of Marr, must also incorporate the interpretation process, not only the reasoning, once the interpretation is chosen. This is not to deny the role of Bayesian probability in a characterization of the computational level. If a subject construes the task as involving uncertain conditionals, in the sense of positive probability of exceptions, principles like Bayesian conditionalization may well form part of the computational level. In this case competence theory is needed of how judgements of probabilities can change in non-Bayesian ways. This is one of the most interesting technical challenges issuing from the present analysis.

Keywords:   interpretation process, probability theory, logic, reasoning, Bayesianism, Marr

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