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. (shrink)

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. (shrink)

When we solve problems there are usually a number of different strategies that we can use. It is a hallmark of intelligence that we, as humans, are able to flexibly choose between them. Siegler and...

This paper looks to Bernard Suits’s analysis of games and game playing for at least a partial answer to the question in its title. It applies Suits’s analysis to Sudoku, a popular logic puzzle, and to Ana-lytical Reasoning, a question type in standardized assessments. The purpose is both to test Suits’s analysis in a novel domain and to give educators and test developers useful insight into the relationship between logic exercises and games.

Both entertaining and startling, The Pig That Wants to Be Eaten offers one hundred philosophical puzzles that stimulate thought on a host of moral, social, and personal dilemmas. Taking examples from sources as diverse as Plato and Steven Spielberg, author Julian Baggini presents abstract philosophical issues in concrete terms, suggesting possible solutions while encouraging readers to draw their own conclusions: Lively, clever, and thought-provoking, The Pig That Wants to Be Eaten is a portable feast for the mind that is sure (...) to satisfy any intellectual appetite. BACKCOVER: “Thinking again is what this taut, incisive, bullet-hard book is dedicated to promoting.” —The Sunday Times (London) “This book is like the Sudoku of moral philosophy: apply your mind to any of its ‘thought experiments’ while stuck on the Tube, and quickly be transported out of rush-hour hell.” —New Statesman. (shrink)