Probability in reasoning: A developmental test on conditionals

Cognition

Volumn 137, Issue , 2015, Pages 22-39

  Barrouillet, Pierre ^a   Gauffroy, Caroline ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Conditional; Development of reasoning; Mental models; Probabilities; Reasoning

Indexed keywords

ADOLESCENT; ARTICLE; CHILD; COGNITION; CONDITIONED REFLEX; DECISION MAKING; EVOLUTIONARY DEVELOPMENTAL BIOLOGY; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; PRIORITY JOURNAL; PROBABILITY; REASONING; SCHOOL CHILD; TASK PERFORMANCE; ADOLESCENT DEVELOPMENT; ADULT; CHILD DEVELOPMENT; PHYSIOLOGY; PROBLEM SOLVING; PSYCHOLOGICAL MODEL; YOUNG ADULT;

ADOLESCENT; ADOLESCENT DEVELOPMENT; ADULT; CHILD; CHILD DEVELOPMENT; FEMALE; HUMANS; JUDGMENT; MALE; MODELS, PSYCHOLOGICAL; PROBABILITY; PROBLEM SOLVING; YOUNG ADULT;

EID: 84920944946     PISSN: 00100277     EISSN: 18737838     Source Type: Journal    
DOI: 10.1016/j.cognition.2014.12.002     Document Type: Article

References (90)

1. Barrouillet P. Dual-process theories of reasoning: The test of development. Developmental Review 2011, 31(2-3):151-179.
2. Barrouillet P., Gauffroy C. Dual processes and mental models in the development of conditional reasoning. The development of thinking and reasoning 2013, 95-121. Psychology Press, Hove. P. Barrouillet, C. Gauffory (Eds.).
3. Barrouillet P., Gauffroy C., Lecas J.F. Mental models and the suppositional account of conditionals. Psychological Review 2008, 115(3):760-771.
4. Barrouillet P., Grosset N., Lecas J.F. Conditional reasoning by mental models: Chronometric and developmental evidence. Cognition 2000, 75:237-266.
5. Barrouillet P., Lecas J.F. How can mental models account for content effects in conditional reasoning? A developmental perspective. Cognition 1998, 67:209-253.
6. Barrouillet P., Lecas J.F. Mental models in conditional reasoning and working memory. Thinking and Reasoning 1999, 5(4):289-302.
7. Barrouillet P., Lecas J.F. Content and context effects in children's and adults' conditional reasoning. Quarterly Journal of Experimental Psychology 2002, 55(3):839-854.
8. Barrouillet P., Markovits H., Quinn S. Developmental and content effects in reasoning with causal conditionals. Journal of Experimental Child Psychology 2001, 81(3):235-248.
9. Beck S.R., Riggs K.J. The development of counterfactual reasoning. The developmental psychology of reasoning and decision making 2014, 165-181. Psychology Press, Hove. H. Markovits (Ed.).
10. Bowers J.S., Davis C.J. Bayesian just-so stories in psychology and neuroscience. Psychological Bulletin 2012, 138(3):389-414.
11. Braine M.D.S., O'Brien D.P. A theory of If: A lexical entry, reasoning program, and pragmatic principles. Psychological Review 1991, 98:182-203.
12. Mental logic 1998, Lawrence Erlbaum Associates Inc., Mahwah, NJ. M.D.S. Braine, D.P. O'Brien (Eds.).
13. Braine M.D.S. The natural approach to reasoning. Reasoning, necessity, and logic: Developmental perspectives 1990, 135-158. Lawrence Erlbaum Associates, Hillsdale, NJ. W.F. Overton (Ed.).
14. Braine M.D.S., Reiser B.J., Rumain B. Some empirical justification for a theory of natural propositional logic. Psychology of Learning and Motivation - Advances in Research and Theory 1984, 18:313-371.
15. Brainerd C.J., Reyna V. Fuzzy-trace theory: Dual processes in memory, reasoning, and cognitive neuroscience. Advances in Child Development and Behavior 2001, 28:49-100.
16. Byrne R.M.J., Johnson-Laird P.N. 'If' and the problem of the conditional. Trends in Cognitive Sciences 2009, 13:282-287.
17. The probabilistic mind: Prospects for Bayesian cognitive science 2008, Oxford University Press, Oxford. N. Chater, M. Oaksford (Eds.).
18. Conway A.R.A., Kane M.J., Engle R.W. Working memory capacity and its relation to general intelligence. Trends in Cognitive Science 2003, 7(12):547-552.
19. Cummins D.D. Naïve theories and causal deduction. Memory & Cognition 1995, 23(5):646-658.
20. Cummins D.D., Lubart T., Alksnis O., Rist R. Conditional reasoning and causation. Memory & Cognition 1991, 19(3):274-282.
21. Davidson M.C., Amso D., Anderson L.C., Diamond A. Development of cognitive control and executive functions from 4 to 13years: Evidence from manipulations of memory, inhibition, and task switching. Neuropsychologia 2006, 44:2037-2078.
22. Delval J.A., Riviere A. "Si llueve, Elisa lleva sombrero": A psychological investigation of the conditional truth table. Revista De Psicologia General y Aplicada 1975, 136:825-850.
23. Edington D. On conditionals. Minds 1995, 104:235-329.
24. Elqayam S., Bonnefon J.F., Over D. Special issue on basic and applied perspectives for new paradigm psychology of reasoning. Thinking and Reasoning 2013, 19(3-4).
25. Elqayam S., Over D.E. New paradigm psychology of reasoning: An introduction to the special issue edited by Elqayam, Bonnefon, and Over. Thinking & Reasoning 2013, 19(3-4):249-265.
26. Ennis R.H. An alternative to Piaget's conceptualization of logical competence. Child Development 1976, 47:903-919.
27. Evans J.St.B.T. The psychology of deductive reasoning 1982, Routledge, London.
28. Evans J.St.B.T. Bias in human reasoning: Causes and consequences 1989, Lawrence Erlbaum Associates, Brighton, UK.
29. Evans J.St.B.T. Logic and human reasoning: An assessment of the deduction paradigm. Psychological Bulletin 2002, 128:978-996.
30. Evans J.St.B.T. The heuristic-analytic theory of reasoning: Extension and evaluation. Psychonomic Bulletin & Review 2006, 13(3):378-395.
31. Evans J.St.B.T. Hypothetical thinking: Dual processes in reasoning and judgment 2007, Psychology Press, Hove, UK.
32. Evans J.St.B.T., Frankish K. In two minds: Dual processes and beyond 2009, Oxford University Press, Oxford.
33. Evans J.St.B.T., Handley S.J., Neilens H., Over D.E. Thinking about conditionals: A study of individual differences. Memory & Cognition 2007, 35:1772-1784.
34. Evans J.St.B.T., Handley S.J., Over D.E. Conditionals and conditional probability. Journal of Experimental Psychology: Learning, Memory, and Cognition 2003, 29:321-355.
35. Evans J.St.B.T. Dual process theories of reasoning: Facts and fallacies. The Oxford handbook of thinking and reasoning 2012, 115-133. Oxford University Press, New York. K. Holyoak, R.G. Morrison (Eds.).
36. Evans J.St.B.T., Newstead S.E., Byrne R.M.J. Human reasoning: The psychology of deduction 1993, Lawrence Erlbaum, Hillsdale, NJ.
37. Evans J.St.B.T., Over D.E. If 2004, Oxford University Press, Oxford.
38. Evans J.St.B.T., Over D.E., Handley S.J. Suppositions, extensionality and conditionals: A critique of the mental model theory of Johnson-Laird and Byrne (2002). Psychological Review 2005, 112:1040-1052.
39. Evans J.St.B.T., Stanovich K.E. Theory and metatheory in the study of dual processing: Reply to comments. Perspectives on Psychological Science 2013, 8:263-271.
40. Falmagne R.J. Language and the acquisition of logical knowledge. Reasoning, necessity, and logic: Developmental perspectives 1990, 111-134. Lawrence Erlbaum Associates, Hillsdale, NJ. W.F. Overton (Ed.).
41. Fugard A.J.B., Pfeifer N., Mayerfofer B., Kleiter G.D. How people interpret conditionals: Shifts toward the conditional event. Journal of Experimental Psychology: Learning, Memory, and Cognition 2011, 37:635-648.
42. Gauffroy C., Barrouillet P. Heuristic and analytic processes in mental models for conditional: An integrative developmental theory. Developmental Review 2009, 29:249-282.
43. Gauffroy C., Barrouillet P. The primacy of thinking about possibilities in the development of reasoning. Developmental Psychology 2011, 47:1000-1011.
44. Gauffroy C., Barrouillet P. Conditional reasoning in context: A developmental dual processes account. Thinking and Reasoning 2014, 20:372-384.
45. Gauffroy C., Barrouillet P. A developmental mental model theory of conditional reasoning. The developmental psychology of reasoning and decision-making 2014, 63-83. Psychology Press, Hove. H. Markovits (Ed.).
46. Goldvarg E., Johnson-Laird P.N. Naïve causality: A mental model theory of causal meaning and reasoning. Cognitive Science 2001, 25(4):565-610.
47. Hawkins J., Pea R.D., Glick J., Scribner S. Merds that laugh don't like mushrooms: Evidence for deductive reasoning by preschoolers. Developmental Psychology 1984, 20(4):584-594.
48. Harris P.L., Nunez M. Understanding of permission rules by preschool children. Child Development 1996, 67:1572-1591.
49. Inhelder B., Piaget J. The growth of logical thinking from childhood to adolescence 1958, Basic Books, New York.
50. Johnson-Laird P.N. How we reason? 2006, Oxford University Press, Oxford.
51. Johnson-Laird P.N., Byrne R.M.J. Deduction 1991, Lawrence Erlbaum Associates, Hillsdale, NJ.
52. Johnson-Laird P.N., Byrne R.M.J. Conditionals: A theory of meaning, pragmatics, and inference. Psychological Review 2002, 109:646-678.
53. Johnson-Laird P.N., Byrne R.M.J., Schaeken W. Propositional reasoning by model. Psychological Review 1992, 99:418-439.
54. Kahneman D. A perspective on judgment and choice. American Psychologist 2003, 58:697-720.
55. Kahneman D. Thinking fast and slow 2011, Penguin Books, London.
56. Kahneman D., Tversky A. Subjective rationality: A judgment of representativeness. Cognitive Psychology 1972, 3:430-453.
57. Kahneman D., Tversky A. On the psychology of prediction. Psychological Review 1973, 80:237-251.
58. Klaczynski P.A., Cottrell J.M. A dual-process approach to cognitive development: The case of children's understanding of sun cost decisions. Thinking and Reasoning 2004, 10(2):147-174.
59. Klaczynski P.A., Felmban W.S. Heuristic and biases during adolescence: Developmental reversals and individual differences. The developmental psychology of reasoning and decision making 2014, 84-112. Psychology Press, Hove. H. Markovits (Ed.).
60. Kuhn D. What is scientific thinking and how does it develop?. Handbook of childhood cognitive development 2011, 497-523. Blackwell, Oxford. 2nd ed. U. Goswami (Ed.).
61. Kushsnir T., Gopnik A. Conditional probability versus spatial contiguity in causal learning: Preschoolers use new contingency evidence to overcome prior spatial assumptions. Developmental Psychology 2007, 43:186-196.
62. Lecas J.F., Barrouillet P. Understanding conditional rules in childhood and adolescence: A mental models approach. Current Psychology of Cognition 1999, 18:363-396.
63. Light P., Blaye A., Gilly M., Girotto V. Pragmatic schemas and logical reasoning in 6- to 8-year-old children. Cognitive Development 1989, 4:49-64.
64. Macnamara J. A border dispute: The place of logic in psychology 1986, Bradford Books/MIT Press, Cambridge, MA.
65. Manktelow K.I. Thinking and reasoning: Psychological perspectives on reason, judgment, and decision making 2012, Psychology Press, Hove.
66. Markovits H. Awareness of the possible as a mediator of formal thinking in conditional reasoning problems. British Journal of Psychology 1984, 75:367-376.
67. Markovits H. How to develop a logical reasoner: A hierarchical model of the role of divergent thinking in the development of conditional reasoning. The developmental psychology of reasoning and decision-making 2014, 148-164. Psychology Press, Hove. H. Markovits (Ed.).
68. Markovits H., Barrouillet P. The development of conditional reasoning: A mental model account. Developmental Review 2002, 22(1):5-36.
69. Markovits H., Fleury M.L., Quinn S., Venet M. The development of conditional reasoning and the structure of semantic memory. Child Development 1998, 69(3):742-755.
70. Newstead H.E., Ellis M.C., Evans J.St.B.T., Dennis I. Conditional reasoning with realistic material. Thinking and Reasoning 1997, 3(1):49-76.
71. Oaksford M., Chater N. A rational analysis of the selection task as optimal data selection. Psychological Review 1994, 101(4):608-631.
72. Oaksford M., Chater N. The probabilistic approach to human reasoning. Trends in Cognitive Sciences 2001, 5(8):349-357.
73. Oaksford M., Chater N. Bayesian rationality: The probabilistic approach to human reasoning 2007, Oxford University Press, Oxford.
74. Oaksford M., Chater N. The uncertain reasoned: Bayes, logic and rationality. Behavioral and Brain Sciences 2009, 32:105-120.
75. Oaksford M., Chater N. Cognition and conditionals: Probability and logic in human thinking 2010, Oxford University Press, Oxford.
76. Oaksford M., Chater N., Larkin J. Probabilities and polarity biases in conditional inference. Journal of Experimental Psychology: Learning Memory & Cognition 2000, 26:883-889.
77. Oberauer K. Reasoning with conditionals: A test of formal models of four theories. Cognitive Psychology 2006, 53:238-283.
78. Oberauer K., Geiger S.M., Fischer K., Weidenfeld A. Two meanings of If? Individual differences in the interpretation of conditionals. Quarterly Journal of Experimental Psychology 2007, 60:790-819.
79. Oberauer K., Wilhelm O. The meaning(s) of conditionals: Conditional probabilities, mental models, and personal utilities. Journal of Experimental Psychology: Learning, Memory, and Cognition 2003, 29:680-693.
80. Over D.E., Hadjichristidis C., Evans J.St.B.T., Handley S.J., Sloman S.A. The probability of causal conditionals. Cognitive Psychology 2007, 54(1):62-97.
81. Overton W.F. Competences and procedure: Constraints on the development of logical reasoning. Reasoning, necessity, and logic: Developmental perspectives 1990, 1-32. Lawrence Erlbaum Associates, Hillsdale, NJ. W.F. Overton (Ed.).
82. Paris S.G. Comprehension of language connectives and propositional logic relationships. Journal of Experimental Child Psychology 1973, 16:278-291.
83. Piaget, J., & Inhelder, B. (1959). La genèse des structures logiques élémentaires. Actualités pédagogiques et psychologiques.
84. Politzer G. Laws of language use and formal logic. Journal of Psycholinguistic Research 1986, 15:47-92.
85. Quinn S., Markovits H. Conditional reasoning, causality, and the structure of semantic memory: Strength of association as a predictive factor for content effects. Cognition 1998, 68(3):93-101.
86. Reyna V., Brainerd C.J. Dual processes in decision making and developmental neuroscience: A fuzzy-trace model. Developmental Review 2011, 31:180-206.
87. Rips L.J. The psychology of proof 1994, MIT Press, Cambridge, MA.
88. Rumain B., Connell J., Braine M.D.S. Conversational comprehension processes are responsible for reasoning fallacies in children as well as in adults. Developmental Psychology 1983, 19:471-481.
89. Vergauwe E., Gauffroy C., Morsanyi K., Dagry I., Barrouillet P. Chronometric évidence for dual process mental model theory of conditional. Journal of Cognitive Psychology 2013, 25(2):174-182.
90. Verschueren N., Schaeken W., d'Ydewalle G. A dual process specification of causal conditional reasoning. Thinking & Reasoning 2005, 11(3):239-278.