Two Implications and Dual-Process Theories of Reasoning

Dual-process theories of reasoning assume a fundamental difference between two cognitive systems: fast and intuitive System 1, and slow and rational System 2, grounded on rules of logical inference. Peirce’s diagrammatic logic challenges the dichotomy. Both systems are based on similar inferential connections, but the former draws its conclusions as modelled in positive implicational fragment of the latter. This logical connection between two systems explains empirical results from Wason’s card selection task without appeal to confirmation bias.

[1]  D. Sperber,et al.  The Enigma of Reason , 2017 .

[2]  Ahti-Veikko Pietarinen Two papers on existential graphs by Charles Peirce , 2014, Synthese.

[3]  S. Sloman The empirical case for two systems of reasoning. , 1996 .

[4]  W. James,et al.  The Principles of Psychology. , 1983 .

[5]  Gerd Gigerenzer,et al.  How do we tell an association from a rule , 1996 .

[6]  Minghui Ma,et al.  Proof Analysis of Peirce’s Alpha System of Graphs , 2017, Stud Logica.

[7]  P C Wason,et al.  Reasoning about a Rule , 1968, The Quarterly journal of experimental psychology.

[8]  H. H. Clark Psychology and language , 1977 .

[9]  Ahti-Veikko Pietarinen,et al.  What do epistemic logic and cognitive science have to do with each other? , 2003, Cognitive Systems Research.

[10]  D. Roberts The existential graphs , 1992 .

[11]  G. Keren,et al.  Two Is Not Always Better Than One , 2009, Perspectives on psychological science : a journal of the Association for Psychological Science.