Thinking and Reasoning 14 (4):342-364 (2008)

Abstract
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)
Reprint years 2008
DOI 10.1080/13546780802236308
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,133
External links

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.

Add more references

Citations of this work BETA

Cognitive Approaches to Emotions.Keith Oatley & P. N. Johnson-Laird - 2014 - Trends in Cognitive Sciences 18 (3):134-140.
Human Rationality Challenges Universal Logic.Brian R. Gaines - 2010 - Logica Universalis 4 (2):163-205.

Add more citations

Similar books and articles

Causal Powers.Eric Hiddleston - 2005 - British Journal for the Philosophy of Science 56 (1):27-59.
The Bike Puzzle.Ólafur Páll Jónsson - 2005 - Mind 114 (456):929 - 932.
Shadows of Constitution.István Aranyosi - 2007 - The Monist 90 (3):415-431.
Frege Puzzles?Joseph Almog - 2008 - Journal of Philosophical Logic 37 (6):549 - 574.
Understanding Kripke's Puzzles About Belief.Michael McGlone - 2009 - Philosophy Compass 4 (3):487-514.

Analytics

Added to PP index
2010-07-27

Total views
43 ( #248,357 of 2,448,227 )

Recent downloads (6 months)
1 ( #451,050 of 2,448,227 )

How can I increase my downloads?

Downloads

My notes