Literature DB >> 14704025

Counterexamples in sentential reasoning.

P N Johnson-Laird1, Uri Hasson.   

Abstract

How do logically naive individuals determine that an inference is invalid? In logic, there are two ways to proceed: (1) make an exhaustive search but fail to find a proof of the conclusion and (2) use the interpretation of the relevant sentences to construct a counterexample--that is, a possibility consistent with the premises but inconsistent with the conclusion. We report three experiments in which the strategies that individuals use to refute invalid inferences based on sentential connectives were examined. In Experiment 1, the participants' task was to justify their evaluations, and it showed that they used counterexamples more often than any other strategy. Experiment 2 showed that they were more likely to use counterexamples to refute invalid conclusions consistent with the premises than to refute invalid conclusions inconsistent with the premises. In Experiment 3, no reliable difference was detected in the results between participants who wrote justifications and participants who did not.

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Mesh:

Year:  2003        PMID: 14704025     DOI: 10.3758/bf03196131

Source DB:  PubMed          Journal:  Mem Cognit        ISSN: 0090-502X


  5 in total

1.  Illusions in reasoning about consistency.

Authors:  P N Johnson-Laird; P Legrenzi; V Girotto; M S Legrenzi
Journal:  Science       Date:  2000-04-21       Impact factor: 47.728

2.  Naive probability: a mental model theory of extensional reasoning.

Authors:  P N Johnson-Laird; P Legrenzi; V Girotto; M S Legrenzi; J P Caverni
Journal:  Psychol Rev       Date:  1999-01       Impact factor: 8.934

3.  Conditionals: a theory of meaning, pragmatics, and inference.

Authors:  P N Johnson-Laird; Ruth M J Byrne
Journal:  Psychol Rev       Date:  2002-10       Impact factor: 8.934

4.  Falsifying mental models: testing the predictions of theories of syllogistic reasoning.

Authors:  S E Newstead; S J Handley; E Buck
Journal:  Mem Cognit       Date:  1999-03

5.  Generating alternatives: a key component in human reasoning?

Authors:  Stephen E Newstead; Valerie A Thompson; Simon J Handley
Journal:  Mem Cognit       Date:  2002-01
  5 in total
  2 in total

Review 1.  Mental models and human reasoning.

Authors:  Philip N Johnson-Laird
Journal:  Proc Natl Acad Sci U S A       Date:  2010-10-18       Impact factor: 11.205

Review 2.  Causal reasoning with mental models.

Authors:  Sangeet S Khemlani; Aron K Barbey; Philip N Johnson-Laird
Journal:  Front Hum Neurosci       Date:  2014-10-28       Impact factor: 3.169

  2 in total

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