David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Thinking and Reasoning 14 (4):342 – 364 (2008)
Sudoku puzzles, which are popular worldwide, require individuals to infer the missing digits in a 9 9 array according to the general rule that every digit from 1 to 9 must occur once in each row, in each column, and in each of the 3-by-3 boxes in the array. We present a theory of how individuals solve these puzzles. It postulates that they rely solely on pure deductions, and that they spontaneously acquire various deductive tactics, which differ in their difficulty depending on their “relational complexity”, i.e., the number of constraints on which they depend. A major strategic shift is necessary to acquire tactics for more difficult puzzles: solvers have to keep track of possible digits in a cell. We report three experiments corroborating this theory. We also discuss their implications for theories of reasoning that downplay the role of deduction in everyday reasoning
|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
Keith Oatley & P. N. Johnson-Laird (2014). Cognitive Approaches to Emotions. Trends in Cognitive Sciences 18 (3):134-140.
Ruth M. J. Byrne & P. N. Johnson-Laird (2009). 'If' and the Problems of Conditional Reasoning. Trends in Cognitive Sciences 13 (7):282-287.
Similar books and articles
Michael McGlone (2009). Understanding Kripke's Puzzles About Belief. Philosophy Compass 4 (3):487-514.
Joseph Almog (2008). Frege Puzzles? Journal of Philosophical Logic 37 (6):549 - 574.
István Aranyosi (2007). Shadows of Constitution. The Monist 90 (3):415-431.
Ólafur Páll Jónsson (2005). The Bike Puzzle. Mind 114 (456):929 - 932.
Martin Cohen (2010). Mind Games: 31 Days to Rediscover Your Brain. Wiley-Blackwell.
Lyn D. English (1998). Children's Reasoning in Solving Relational Problems of Deduction. Thinking and Reasoning 4 (3):249 – 281.
P. N. Johnson-Laird, Geoffrey P. Goodwin & N. Y. Louis Lee (2011). The Psychological Puzzle of Sudoku. Thinking and Reasoning 14 (4):342-364.
Shaun Nichols (2002). Imagination and the Puzzles of Iteration. Analysis 62 (3):182-87.
George Bealer (1993). A Solution to Frege's Puzzle. Philosophical Perspectives 7:17-60.
Added to index2009-01-28
Total downloads29 ( #88,210 of 1,696,808 )
Recent downloads (6 months)3 ( #187,594 of 1,696,808 )
How can I increase my downloads?