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Gepubliceerd in: Psychological Research 5/2008

01-09-2008 | Original Article

Dealing with indeterminacy in spatial descriptions

Auteurs: Jean-Baptiste Van der Henst, Coralie Chevallier, Walter Schaeken, Hugo Mercier, Ira Noveck

Gepubliceerd in: Psychological Research | Uitgave 5/2008

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Abstract

How do people tackle indeterminate spatial descriptions, that is those descriptions for which several representations are possible? Take for instance the two following statements: B is to the left of A, C is to the left of A. This description is indeterminate because it is compatible with at least two possibilities: (1) C B A; (2) B C A. Studies on human reasoning have shown that people tend to reduce the complexity of such indeterminate descriptions by representing only one possibility. Which one do people favour? Is one possibility easier to work out than the other? Is one possibility more plausible than the other? Two competing hypotheses make different predictions about the representation people favour. If the building of the representation is driven by what we call manipulation difficulty, then (1) is more likely to be constructed than (2) because (2) results from reorganising the representation following the first statement where B is adjacent to A (i.e. B A) while (1) is just an extension of this initial representation. However, if the representation process is driven by pragmatic factors, then (2) is more likely to be built than (1) because the second statement could be interpreted as implicating “C is not to the left of B”. Indeed, if C had been to the left of B it would have been more appropriate to utter, “C is to the left of B” rather than “C is to the left of A”. Data from several experiments show that both manipulation difficulty and pragmatic factors play a role in determining participants’ representations.
Voetnoten
1
One of the hallmarks that provides Mental Model Theory with an “economical” dimension is the principle of truth. This principle guides the construction of mental models in propositional reasoning. It stipulates that reasoners tend to reduce the load on working memory by constructing mental models that only represent what is true but not what is false.
 
2
A linearization principle (“preferred solutions follow a linear order of start points and end points”); a regularization principle (“mental configurations of intervals incorporate point incidences in only those cases where they are unavoidable”) and a unification principle (“in the case of using the inverse of the first-premise-relation in the second premise, people prefer to equalize the end terms”).
 
3
The experimenter did not provide any indication about the way to solve indeterminate problems since this may have helped participants find the correct answer to such problems in the test phase (i.e. when the relation posed in the question is indeterminate) and may reduce the occurrence of wrong answers. As observed by Schaeken and Van der Henst (2005), informing participants that the answer “Nothing follows” (i.e. the relation is indeterminate) is correct for some problems leads to relatively high rates of correct performance for indeterminate problems. This arguably results from a strategy consisting in (a) looking for indeterminacy in the first place and in (b) not engaging fully in the construction of mental models. In this experiment, we were more interested in erroneous answers that reveal which model is built (and which one is neglected) than correct answers per se showing that indeterminacy was successfully identified. We did not provide any clue that may encourage the detection of indeterminacy. Hence, participants were not informed that some problems were indeterminate.
 
4
Except for Byrne and Johnson-Laird’s study which reports 18% of correct answers for the same kind of problems. However, in Byrne and Johnson-Laird’s study the premises were orally, and thus sequentially, presented. This easily explains the low level of performance in their study.
 
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Metagegevens
Titel
Dealing with indeterminacy in spatial descriptions
Auteurs
Jean-Baptiste Van der Henst
Coralie Chevallier
Walter Schaeken
Hugo Mercier
Ira Noveck
Publicatiedatum
01-09-2008
Uitgeverij
Springer-Verlag
Gepubliceerd in
Psychological Research / Uitgave 5/2008
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI
https://doi.org/10.1007/s00426-007-0130-6

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