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The New Paradigm and Mental Models

Authors: Baratgin, Jean; Douven, Igor; Evans, Jonathan St.B. T.; Oaksford, Mike; Over, David; Politzer, Guy;

The New Paradigm and Mental Models

Abstract

In a recent article in this journal, Johnson–Laird and colleagues argue that mental models theory (MMT) can integrate logical and probabilistic reasoning [1]. We argue that Johnson-Laird and colleagues make a radical revision of MMT, but to ill effect.\ud \ud This can best be seen in what they say about truth and validity (Box 1). Formerly ([2], p. 651), in MMT p ∨ q (p or q) ‘... is true provided that at least one of its two disjuncts is true; otherwise, it is false.’ Thus p ∨ q is true provided that one of three possibilities is true: p & not-q, not-p & q, p & q. However, Johnson-Laird et al. claim, ‘The disjunction is true provided that each of these three cases [p & not-q, not-p & q, p & q] is possible.’ However, these three cases are always possible for jointly contingent statements: that is why they are rows of the truth table for p ∨ q. This new definition makes almost every disjunction true. An example of a disjunction that it does not make true is p ∨ not-p. This tautology fails to be true for their account because p & not-p is not possible.

Country
France
Keywords

psyc, Thinking, Logic, Humans, [SCCO] Cognitive science, Probability

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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 10%
Top 10%
Green
bronze