Transitive and pseudo-transitive inferences

Cognition

Volumn 108, Issue 2, 2008, Pages 320-352

  Goodwin, Geoffrey P ^a   Johnson Laird, P N ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Mental models; Mental representation; Reasoning illusions; Transitive inference

Indexed keywords

ADULT; ARTICLE; CLINICAL ARTICLE; COGNITION; CRITICAL THINKING; FEMALE; HUMAN; HUMAN EXPERIMENT; LOGIC; MALE; MEMORY; PRIORITY JOURNAL;

ADULT; COGNITION; FEMALE; HUMANS; LINGUISTICS; MALE; PROBLEM SOLVING; SEMANTICS;

EID: 45849123208     PISSN: 00100277     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cognition.2008.02.010     Document Type: Article

References (35)

1. Andrews G., and Halford G.S. Children's ability to make transitive inferences: The importance of premise integration and structural complexity. Cognitive Development 13 (1998) 479-513
2. Andrews G., and Halford G.S. A cognitive complexity metric applied to cognitive development. Cognitive Psychology 45 (2002) 153-219
3. Baddeley A.D. Working memory (1986), Clarendon Press, Oxford
4. Bar-Hillel Y. Dictionaries and meaning rules. Foundations of Language 3 (1967) 409-414
5. Barwise J. The situation in logic (1989), Center for the Study of Language and Information Publications, Stanford, CA
6. Beth E.W. Aspects of modern logic (1971), Humanities Press, New York
7. Braine M.D.S., and O'Brien D.P. A theory of if: A lexical entry, reasoning program, and pragmatic principles. Psychological Review 98 (1991) 182-203
8. In: Braine M.D.S., and O'Brien D.P. (Eds). Mental logic (1998), Erlbaum, Mahwah, NJ
9. Bryant P.E., and Trabasso T. Transitive inferences and memory in young children. Nature 232 (1971) 456-458
10. Chaffin R., and Herrmann D.J. The similarity and diversity of semantic relations. Memory & Cognition 12 (1984) 134-141
11. Clark H.H. Linguistic processes in deductive reasoning. Psychological Review 76 (1969) 387-404
12. De Soto C.B., and Kuethe J.L. Perception of mathematical properties of interpersonal relations. Perceptual and Motor Skills 8 (1958) 279-286
13. De Soto C.B., and Kuethe J.L. Subjective probabilities of interpersonal relationships. Journal of Abnormal and Social Psychology 59 (1959) 290-294
14. De Soto C.B., London M., and Handel S. Social reasoning and spatial paralogic. Journal of Personality and Social Psychology 2 (1965) 513-521
15. Fodor J. A situated grandmother?. Mind and Language 2 (1987) 64-81
16. Goodwin G.P., and Johnson-Laird P.N. Reasoning about relations. Psychological Review 112 (2005) 468-493
17. Halford G.S., Wilson W.H., and Phillips S. Processing capacity defined by relational complexity: Implications for comparative, developmental, and cognitive psychology. Behavioural and Brain Sciences 21 (1998) 803-831
18. Herrick P. The many worlds of logic (1994), Harcourt Brace, Orlando, FL
19. Hummel J.E., and Holyoak K.J. A process model of human transitive inference. In: Gattis M. (Ed). Spatial schemas and abstract thought (2001), MIT Press, Cambridge, MA 279-305
20. Hunter I.M.L. The solving of three term series problems. British Journal of Psychology 48 (1957) 286-298
21. Huttenlocher J. Constructing spatial images: A strategy in reasoning. Psychological Review 75 (1968) 286-298
22. Jeffrey R. Formal logic: Its scope and limits (1981), McGraw-Hill, New York
23. Johnson-Laird P.N. How we reason (2006), Oxford University Press, New York
24. Johnson-Laird P.N., and Byrne R.M.J. Deduction (1991), Erlbaum, Hillsdale, NJ
25. Johnson-Laird P.N., Legrenzi P., Girotto V., and Legrenzi M.S. Fallacies in reasoning about consistency. Science 288 (2000) 531-532
26. Knauff M., and Johnson-Laird P.N. Visual imagery can impede reasoning. Memory & Cognition 30 (2002) 363-371
27. Kuczaj II S.A., and Donaldson III S.A. If the boy loves the girl and the girl loves the dog, does the boy love the dog? The overgeneralization of verbal transitive inference skills. Journal of Psycholinguistic Research 11 (1982) 197-206
28. Newstead S.E., Pollard P., and Griggs R.A. Response bias in relational reasoning. Bulletin of the Psychonomic Society 24 (1986) 95-98
29. Oaksford M., and Chater N. Bayesian rationality: The probabilistic approach to human reasoning (2007), Oxford University Press, Oxford, UK
30. Oberauer K. Reasoning with conditionals: A test of formal models of four theories. Cognitive Psychology 53 (2006) 238-283
31. Ormerod T.C., and Richardson J. On the generation and evaluation of inferences from single premises. Memory & Cognition 31 (2003) 467-478
32. Politzer G. Reasoning, judgement and pragmatics. In: Noveck I.A., and Sperber D. (Eds). Experimental pragmatics (2004), Macmillan, Hampshire, UK 94-115
33. Quine W.V.O. Methods of logic. 3rd ed. (1974), Routledge & Kegan Paul, London
34. Rips L.J. The psychology of proof (1994), MIT Press, Cambridge, MA
35. Tsal Y. Symmetry and transitivity assumptions about a nonspecified logical relation. Quarterly Journal of Experimental Psychology 29 (1977) 677-684