Exclusivity and kinds of models in modulated disjunctive inferences

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Miguel López-Astorga

Abstract

The disjunction introduction rule, that is, the schema in classical logic that, from a premise, leads to conclude a disjunction transforming the premise into a disjunct of that disjunction, is a cognitive problem. This is so because people only use this rule on a few occasions. Therefore, any theory trying to account for human reasoning must explain this phenomenon as well. Based on the mental models theory, Orenes and Johnson-Laird provide such an explanation. In this way, this paper is intended to show that, although it can seem that their account is in contradiction with some essential assumptions and important developments of the aforementioned theory, that is not actually so. The key points in this regard that will be analyzed are the way the mental models theory really understands disjunction and the distinction that this last approach presents between Mental Models and Fully Explicit Models.

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How to Cite
López-Astorga, M. (2022). Exclusivity and kinds of models in modulated disjunctive inferences. Noesis. Journal of Social Sciences and Humanities, 28(55), 185–195. https://doi.org/10.20983/noesis.2019.1.9
Section
Humanities
Author Biography

Miguel López-Astorga, University of Talca

Professor and researcher at the Institute of Humanistic Studies "Juan Ignacio Molina", University of Talca

References

Braine, Martin & David O’Brien. 1998. Mental logic. Mahwah: Lawrence Erlbaum Associates, Inc., Publishers.

Deaño, Alfredo. 1999. Introducción a la lógica formal. Madrid: Alianza Editorial.

Gentzen, Gerhard. 1934. Untersuchungen über das logische Schließen I. Mathematische Zeitschrift, 39(2): 176-210.

Gentzen, Gerhard. 1935. Untersuchungen über das logische Schließen II. Mathematische Zeitschrift, 39(3): 405-431. https://doi.org/10.1007/BF01201363

Gouveia, Edilaine, Antonio Roazzi, David O’Brien, Karina Moutinho, & Maria da Graça Bompastor Borges Dias. 2003. Raciocínio dedutivo e lógica mental. Estudos de Psicologia, 20(3): 135-145. https://doi.org/10.1590/S0103-166X2003000300010

Johnson-Laird, Philip. 2004. The history of the mental models. In Psychology and Reasoning: Theoretical and Historical Perspectives, edited by Ken Manktelow & Man Cheung Chung. New York: Psychology Press, 179-212.

Johnson-Laird, Philip. 2006. How we reason. Oxford: Oxford University Press.

Johnson-Laird, Philip. 2012. Inference with mental models. In The Oxford Handbook of Thinking and Reasoning, edited by Keith Holyoak & Robert Morrison. New York: Oxford University Press, 134-145.

Johnson-Laird, Philip N. & Ruth Byrne. 2002. Conditionals: A theory of meaning, pragmatics, and inference. Psychological Review, 109(4): 646-678. https://doi.org/10.1037/0033-295X.109.4.646

Johnson-Laird, Philip, Sangeet Khemlani, & Geoffrey Goodwin. 2015. Logic, probability, and human reasoning. Trends in Cognitive Sciences, 19(4): 201-214. https://doi.org/10.1016/j.tics.2015.02.006

Khemlani, Sangeet, Isabel Orenes, & Philip Johnson-Laird. 2014. The negation of conjunctions, conditionals, and disjunctions. Acta Psychologica, 151: 1-7. https://doi.org/10.1016/j.actpsy.2014.05.004

López-Astorga, Miguel. 2015. The disjunction introduction rule: Syntactic and semantic considerations. Pragmalingüística, 23: 141-149.

López-Astorga, Miguel. 2016. Against Philo’s interpretation of the conditional: The case of Aristotle’s thesis. Agora. Papeles de Filosofía, 35(2): 51-64. https://doi.org/10.15304/ag.35.2.2542

Oakhill, Jane & Alan Garnham. 1996. Mental models in cognitive science. Essays in honour of Phil Johnson-Laird. Hove: Psychology Press.

O’Brien, David P. 2014. Conditionals and disjunctions in mental-logic theory: A response to Liu and Chou (2012) and to López-Astorga (2013). Universum, 29(2): 221-235. https://doi.org/10.4067/S0718-23762014000200015

Orenes, Isabel & P. Johnson-Laird. 2012. Logic, models, and paradoxical inferences. Mind & Language, 27(4): 357-377. https://doi.org/10.1111/j.1468-0017.2012.01448.x