The processing of negations in conditional reasoning: A meta-analytic case study in mental model and/or mental logic theory
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Thinking and Reasoning 7 (2):121 – 172 (2001)
We present a meta-analytic review on the processing of negations in conditional reasoning about affirmation problems (Modus Ponens: "MP", Affirmation of the Consequent "AC") and denial problems (Denial of the Antecedent "DA", and Modus Tollens "MT"). Findings correct previous generalisations about the phenomena. First, the effects of negation in the part of the conditional about which an inference is made, are not constrained to denial problems. These inferential-negation effects are also observed on AC. Second, there generally are reliable effects of a negation in the clause referred to by the categorical premise, and these referred-negation effects are constrained to the logically fallacious AC and DA inferences. All findings are presented and discussed in relation to contemporary mental model (MM) and mental logic (ML) theories. It is argued that a double-negation elimination hypothesis provides a sufficient explanation of inferential-negation effects within both MM theory and ML theory, if the latter is extended by a validating search for counter examples. Both MM and ML theories adhere to a processing scheme that allows them to incorporate an account of referred-negation effects based on the thesis that counter-example frequency is modulated by the scope of a contrast class delineated by a false affirmative. We conclude that MM and ML theories provide adequate processing schemes to accommodate for the explanatory hypotheses, at least in principle. In practice, both approaches remain equivocal as regards the connectivity and interactivity with long-term memory knowledge invoked in generating, manipulating, and testing the mental representations of negative state of affairs.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Philip N. Johnson-Laird, Ruth M. J. Byrne & Vittorio Girotto (2009). The Mental Model Theory of Conditionals: A Reply to Guy Politzer. Topoi 28 (1):75-80.
Similar books and articles
Wouter Duyck & Andr (2003). Conditional Reasoning with a Spatial Content Requires Visuo-Spatial Working Memory. Thinking and Reasoning 9 (3):267 – 287.
Nelly Grosset & Pierre Barrouillet (2003). On the Nature of Mental Models of Conditional: The Case of If , If Then , and Only If. Thinking and Reasoning 9 (4):289 – 306.
W. Schroyens (1999). Error and Bias in Meta-Propositional Reasoning: A Case of the Mental Model Theory. Thinking and Reasoning 5 (1):29 – 66.
Walter Schroyens, Niki Verschueren, Walter Schaeken & Gery D'Ydewalle (2000). Conditional Reasoning with Negations: Implicit and Explicit Affirmation or Denial and the Role of Contrast Classes. Thinking and Reasoning 6 (3):221 – 251.
Kristien Dieussaert, Walter Schaeken, Walter Schroyens & Gery D'Ydewalle (2000). Strategies During Complex Conditional Inferences. Thinking and Reasoning 6 (2):125 – 160.
Paul A. Klaczynski & David B. Daniel (2005). Individual Differences in Conditional Reasoning: A Dual-Process Account. Thinking and Reasoning 11 (4):305 – 325.
Henry Markovits (2000). A Mental Model Analysis of Young Children's Conditional Reasoning with Meaningful Premises. Thinking and Reasoning 6 (4):335 – 347.
Mike Oaksford (2002). Contrast Classes and Matching Bias as Explanations of the Effects of Negation on Conditional Reasoning. Thinking and Reasoning 8 (2):135 – 151.
Jonathan St B. T. Evans (1998). Matching Bias in Conditional Reasoning: Do We Understand It After 25 Years? Thinking and Reasoning 4 (1):45 – 110.
Sieghard Beller & Gregory Kuhnm (2007). What Causal Conditional Reasoning Tells Us About People's Understanding of Causality. Thinking and Reasoning 13 (4):426 – 460.
Added to index2009-01-28
Total downloads9 ( #180,115 of 1,679,436 )
Recent downloads (6 months)3 ( #78,545 of 1,679,436 )
How can I increase my downloads?