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A number of questions about a question of number

Published online by Cambridge University Press:  04 February 2010

Alan Garnham
Affiliation:
Laboratory of Experimental Psychology, University of Sussex, Brighton BN1 9QG, England Electronic mail: alang@epvax.sussex.ac.uk

Abstract

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Open Peer Commentary
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Copyright © Cambridge University Press 1993

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References

Adams, E. W. (1975) The logic of conditionals. Reidel. [DO]CrossRefGoogle Scholar
Anderson, C. A. (1982) Inoculation and counterexplanation: Debiasing techniques in the perseverance of social theories. Social Cognition 1:126–39. [JBaro]CrossRefGoogle Scholar
Anderson, J. R. (1982) Acquisition of cognitive skill. Psychological Review 89:369406. [RJS]CrossRefGoogle Scholar
Arkes, H. R., Faust, D., Guilmette, T. J. & Hart, K. (1988) Eliminating the hindsight bias. Journal of Applied Psychology 73:305–7. [JBaro]CrossRefGoogle Scholar
Bach, K. (1970) Part of what a picture is. British Journal of Aesthetics 10:119–37. [KB]CrossRefGoogle Scholar
Bach, K. (1984) Default reasoning: Jumping to conclusions and knowing when to think twice. Pacific Philosophical Quarterly 65:3758. [KB]CrossRefGoogle Scholar
Bara, B. G., Bueeiarelli, M. & Johnson-Laird, P. N. (1992) The development of syllogistic reasoning. Unpublished paper. Center for Cognitive Science, University of Turin. [rPNJ-L]Google Scholar
Barnes, B. & Bloor, D. (1982) Relativism, rationalism, and the sociology of knowledge. In: Rationality and relativism, ed. Hollis, M. & Lukes, S.. Basil Black-well. [aPNJ-L, PE]Google Scholar
Baron, J. (1988) Thinking and deciding. Cambridge University Press. [JBaro]Google Scholar
Baron, J. (1991) Beliefs about thinking. In: Informal reasoning and education, ed. Voss, J. F., Perkins, D. N. & Segal, J. W.. Erlbaum. [JBaro]Google Scholar
Baron, J., Badgio, P. & Gaskins, I. W. (1986) Cognitive style and its improvement: A normative approach. In: Advances in the psychology of human intelligence, vol. 3, ed. Sternberg, R. J.. Erlbaum. [JBaro]Google Scholar
Baron, J., Badgio, P. & Ritov, Y. (1991) Departures from optimal stopping in an anagram task. Journal of Mathematical Psychology 35:4163. [JBaro]CrossRefGoogle Scholar
Barwise, J. (1986) Conditionals and conditional information. In: On conditionals, ed. Ferguson, C., Reilly, J., ter Meulen, A., & Tragott, E. C.. Cambridge University Press. [ACBtM]Google Scholar
Barwise, J. (1989) The situation in logic. CSLI Lecture Notes, Stanford University. [ACBtM]Google Scholar
Barwise, J. & Etchemendy, J. (1991) Visual information and valid reasoning. In: Visualization in teaching and learning mathematics, ed. W. Ziminermann & S. Cunningham. M.A.A. Notes #19, Mathematical Association of America. [rPNJ-L, J Barw, KS]Google Scholar
Barwise, J., Gawron, J. M. & Tutiya, S., eds. (1990) Situation theory and its applications, vol. 2. CSLI Lecture Notes, Stanford University. [ACBtM]Google Scholar
Barwise, J. & Perry, J. (1983) Situations and attitudes. Bradford Books/MIT Press. [ACBtM]Google Scholar
Bauer, M. I. & Johnson-Laird, P. N. (1993) How diagrams can improve reasoning. Psychological Science (in press). [rPNJ-L]Google Scholar
Beattie, J. & Baron, J. (1988) Confirmation and matching bias in hypothesis testing. Quarterly Journal of Experimental Psychology 40A:269–97. [JBaro]CrossRefGoogle Scholar
Begg, I. & Denny, J. (1969) Empirical reconciliation of atmosphere and conversion interpretations of syllogistic reasoning. Journal of Experimental Psychology 81:351–54. [aPNJ–L]CrossRefGoogle Scholar
Bereiter, C. & Seardamalia, M. (1989) Intentional learning as a goal of instruction. In: Knowing, learning and instruction: Essays in honour of Robert Closer. Erlbaum. [RJS]Google Scholar
Berkeley, C. (1710/1965) A treatise concerning the principles of human knowledge. Bobbs-Merrill. [KB]Google Scholar
Berry, D. C. & Broadbent, D. E. (1984) On the relationship between taskperformance and associated verbalizable knowledge. Quarterly Journal of Experimental Psychology 36A:209–31. [JStBTE]CrossRefGoogle Scholar
Beth, E. W. (1955/1969) Semantic entailment and formal derivability. Mededelingen van de Koninklijke Nederlandse Akademie van Wetenschappen, Afdeling, Letterkunde, N. R. 18:309–42. Reprinted in Hintikka J. (ed.) The philosophy of mathematics. Oxford University Press, 1969. [aPNJ-L, ADA, JHF]Google Scholar
Beth, E. W. & Piaget, J. (1966) Mathematical epistemology and psychology. Reidel. [aPNJ-L]Google Scholar
Blumberg, A. (1967) Logie, modern. In: The encyclopedia of philosophy, ed. Edwards, P.. Macmillan and The Free Press. [JHF]Google Scholar
Braine, M. D. S. (1978) On the relation between the natural logic of reasoning and standard logic. Psychological Review 85:121. [aPNJ-L]CrossRefGoogle Scholar
Braine, M. D. S. (1990) The “natural logic” approach to reasoning. In: Reasoning, necessity, and logic: Developmental perspectives, ed. Overton, W. F.. Erlbaum. [MDSB]Google Scholar
Braine, M. D. S. (1992) Approaches empiriques du langage de la pensée. In: Epistomologie et cognition, ed. Andler, D., Jacob, P., Proust, J., Récanati, F. & Sperber, D.. Pierre Mardaga. [MDSB]Google Scholar
Braine, M. D. S. (in press) The mental logie and how to discover it. In: The logical foundations of cognition, ed. Maenamara, J. & Reyes, G. E.. Oxford University Press (Oxford). [MDSB]Google Scholar
Braine, M. D. S., Reiser, B. J. & Rumain, B. (1984) Some empirical justification for a theory of natural prepositional logic. In: The psychology of learning and motivation: Advances in research and theory, vol. 18, ed. Bower, C. H.. Academic Press. [aPNJ-L, MDSB, KMG]Google Scholar
Broadbent, D. E., Fitzgerald, P. & Broadbent, M. H. P. (1986) Implicit and explicit knowledge in the control of complex systems. British Journal of Psychology 77:3350. [JStBTE]CrossRefGoogle Scholar
Brown, A. L., Campione, J. C. & Day, J. D. (1981) Learning to learn: On training students to learn from texts. Educational Researcher 10:1421. [RJS]CrossRefGoogle Scholar
Brown, A. L. & Day, J. D. (1983) Maerorules for summarising texts: The development of expertise. Journal of Verbal Learning and Verbal Behaviour 22:114. [RJS]CrossRefGoogle Scholar
Bruner, J., Greenfield, P. & Oliver, R. (1966) Studies in cognitive growth. Wiley. [BGB]Google Scholar
Bryant, P. E. & Trabasso, T. (1971) Transitive inferences and memory in young children. Nature 232:456–58. [HD]CrossRefGoogle ScholarPubMed
Bundy, A. (1973) Doing arithmetic with diagrams. In: Proceedings of the Third International Joint Conference on Artificial Intelligence, ed. N. Nilsson. (Also available from Edinburgh as DCL Memo No. 61) [AB]Google Scholar
Burke, P. (1986) Strengths and weaknesses in the history of mentalities. History of European Ideas 7. [aPNJ-L]Google Scholar
Byrne, R. M. J. (1989) Suppressing valid infererences with conditionals. Cognition 31:6183. [arPNJ-L, SF, DO]CrossRefGoogle Scholar
Byrne, R. M. J. (1991) Can valid inferences be suppressed? Cognition 39:7178. [rPNJ-L, SF, DO]CrossRefGoogle ScholarPubMed
Byrne, R. M. J. & Handley, S. J. (1992) Meta-deductive strategies. Unpublished paper. Department of Psychology, Trinity College, University of Dublin. [rPNJ-L]Google Scholar
Byrne, R. M. J. & Johnson-Laird, P. N. (1989) Spatial reasoning. Journal of Memory and Language 28:564–75. [aPNJ-L]CrossRefGoogle Scholar
Byrne, R. M. J. & Johnson-Laird, P. N. (1990) Remembering conclusions we have inferred: What biases reveal. In: Cognitive biases: Their contribution for understanding human cognitive processes, ed. Caverni, J.-P., Fabre, J.-M. & Gonzalez, M.. North-Holland. [aPNJ-L]Google Scholar
Byrne, R. M. J. & Johnson-Laird, P. N. (1992) The spontaneous use of propositional connectives. Quarterly Journal of Experimental Psychology 45A:89110. [rPNJ-L]CrossRefGoogle Scholar
Carey, S. (1991) Knowledge acquisition: Enrichment or conceptual change? In; The epigenesis of mind: Essays on biology and cognition, ed. Carey, S. & Gelman, R.. Erlbaum. [rPNJ-L]Google Scholar
Carroll, L. (1895) What Achilles said to the tortoise. Mind 4:278–80. [KB]CrossRefGoogle Scholar
Ceci, S. J. & Liker, J. (1986) Academic and nonacademie intelligence: An experimental separation. In: Practical intelligence: Nature and origins of competence in the everyday world, ed. Sternberg, R. J. & Wagner, R. K.. Cambridge University Press. [RJS]Google Scholar
Chater, N. & Oaksford, M. (1993) Logic, mental models and everyday reasoning. Mind and Language (in press). [NC/MO]Google Scholar
Cheng, P. W. & Holyoak, K. J. (1985) Pragmatic reasoning schemas. Cognitive Psychology 17:391416. [aPNJ-L, DWG, KIM]CrossRefGoogle ScholarPubMed
Cheng, P. W., Holyoak, K. J., Nisbett, R. E. & Oliver, L. M. (1986) Pragmatic versus syntactic approaches to training deductive reasoning. Cognitive Psychology 18:293328. [KMG]CrossRefGoogle ScholarPubMed
Chi, M. T. H. (1978) Knowledge structures and memory development. In: Children's thinking: What develops? ed. Siegler, R.. Erlbaum. [RJS]Google Scholar
Chomsky, N. (1965) Aspects of the theory of syntax. MIT Press. [rPNJ-L, BGB]Google Scholar
Churehland, P. S. (1986) Neurophilosophy. MIT Press. [aPNJ-L]Google Scholar
Clark, H. H. (1969) Linguistic processes in deductive reasoning. Psychological Review 76:387404. [aPNJ-L]CrossRefGoogle Scholar
Clifton, C. Jr., & Ferreira, F. (1987) Modularity in sentence comprehension. In: Modularity in knowledge representation and natural-language understanding, ed. Garfield, J.. MIT Press. [KMG]Google Scholar
Cohen, L. J. (1981) Can human irrationality be experimentally demonstrated? Behavioral and Brain Sciences 4(3):317–70. [LJC, PE]CrossRefGoogle Scholar
Collins, A. & Michalski, R. (1989) The logie of plausible reasoning: A core theory. Cognitive Science 13:149. [aPNJ-L]CrossRefGoogle Scholar
Conan Doyle, A. (1892) A study in scarlet. Harper. [aPNJ-L]Google Scholar
Cooper, R., Mukai, K. & Perry, J., eds. (1990) Situation theory and its applications, vol. 1. CSLI Lecture Notes, Stanford University. [AGBtM]Google Scholar
Cooper, W. S. (1968) The propositional logic of ordinary discourse. Inquiry 11:295320. [rPNJ-L]CrossRefGoogle Scholar
Cosmides, L. (1989) The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason selection task. Cognition 31:187276. [aPNJ-L, DWG, KIM, PP]CrossRefGoogle ScholarPubMed
Craik, K. (1943). The nature of explanation. Cambridge University Press (Cambridge). [arPNJ-L, PE]Google Scholar
Crawford, J. M. & Kuipers, B. J. (1991) Negation and proof by contradiction in access-limited logic. Proceedings of the Ninth National Conference on Artificial Intelligence. AAAI Press/MIT Press. [JMC]Google Scholar
Cummins, R. (1986) Inexplicit information. In: The representation of knowledge and belief, ed. Brand, M. & Harnish, R. M.. University of Arizona Press. [KB]Google Scholar
Davis, H. (1992) Transitive interference in rats. Journal of Comparative Psychology (in press). [HD]Google Scholar
Davis, H. (in press) Attributing consciousness to animals: Is it logical or necessary? In: Anthropomorphism, anecdotes and animals, ed. Mitchell, R. W., Thompson, N. S. & Miles, H. L.. University of Nebraska Press. [HD]Google Scholar
Donald, M. (1991) The origins of the modern mind: Three stages in the evolution of culture and cognition. Harvard University Press. [PE]Google Scholar
Duneker, K. (1926) A qualitative (experimental and theoretical) study of productive thinking (solution of complicated problems). Journal of Genetic Psychology 33:642708. [ASL]Google Scholar
Duneker, K. (1945) On problem solving. (Translated by L. S. Lees). Psychological Monographs 58, no. 5. (Originally published in 1935.) [ASL]Google Scholar
Ehrlich, K. & Johnson-Laird, P. N. (1982) Spatial descriptions and referential continuity. Journal of Verbal Learning and Verbal Behavior 21:296306. [rPNJ-L]CrossRefGoogle Scholar
Ellis, W. D. (1938) A source book of Gestall psychology. Harcourt, Brace. [ASL]CrossRefGoogle Scholar
Erickson, J. R. (1974) A set analysis theory of behavior in formal syllogistic reasoning tasks. In: Loyola Symposium on Cognition, vol. 2, ed. Solso, R.. Erlbaum. [aPNJ-L]Google Scholar
Ericsson, K. A. & Simon, H. A. (1984) Protocol analysis: Verbal Reports as data. MIT Press. [MDSB]Google Scholar
Evans, J. St. B. (1977) Linguistic factors in reasoning. Quarterly Journal of Experimental Psychology 29:297306. [aPNJ-L]CrossRefGoogle Scholar
Evans, J. St. B. (1987) Reasoning. Psychological Survey 6:7493. [aPNJ-L]Google Scholar
Evans, J. St. B. (1989) Bias in human reasoning: Causes and consequences. Erlbaum. [aPNJ-L, PL]Google Scholar
Evans, J. St. B. (1991) Review of Johnson-Laird & Byrne, Deduction. Erlbaum. Quarterly Journal of Experimental Psychology 43A:916–17. [JStBTE]Google Scholar
Evans, J. St. B. T. (in press) Bias and rationality. In: Rationality, ed. Manktelow, K. I. & Over, D. E.. Routledge. [rPNJ-L, PE, KIM]Google Scholar
Evans, J. St.B. T., Barston, J. L. & Pollard, P. (1983) On the conflict between logic and belief in syllogistic reasoning. Memory and Cognition 11:295306. [SEN]CrossRefGoogle ScholarPubMed
Evans, J. St.B. T., Over, D. E. & Manktelow, K. I. (1992) Reasoning as decision making: One kind of rationality. Cognition (in press). [DO]Google Scholar
Falmagne, R. J. (1988) Language as a constitutive factor in logical knowledge: Cognitive, philosophical and linguistic considerations. Cognitive Science Laboratory, Technical Report 28, Princeton University. [RJF]Google Scholar
Falmagne, R. J. (1992) Reflections on acquisition processes. In: Analytic approaches to human cognition, ed. Alegria, J., Holender, D., Junea de Morais, J. & Radeau, M.. Elsevier. [RJF]Google Scholar
Fisher, A. (1989) The logic of real argument. Cambridge University Press. [AF]Google Scholar
Fitting, M. C. (1983) Proof methods for modal and intuitionistic logic. Reidel. [ADA]CrossRefGoogle Scholar
Fodor, J. A. (1975) The language of thought. Harvard University Press. [MDSB]Google Scholar
Fodor, J. A. (1983) The modularity of mind. Bradford Books/MIT Press. [NC, KMG, MO]Google Scholar
Ford, M. (1985) Review of “mental models.” Language 61:897903. [aPNJ-L]CrossRefGoogle Scholar
Freeman, J. (1987) Thinking logically. Prentice-Hall. [AF]Google Scholar
Galotti, K. M. (1989) Approaches to studying formal and everyday reasoning. Psychological Bulletin 105:331–51. [JBaro, KMG]CrossRefGoogle Scholar
Galotti, K. M., Baron, J. & Sabini, J. P. (1986) Individual differences in syllogistic reasoning: Deduction rules or mental models? Journal of Experimental Psychology: General 115:1625. [arPNJ-L, KMG, RJS]CrossRefGoogle ScholarPubMed
Garey, M. R. & Johnson, D. S. (1979) Computers and intractability: A guide to the theory of NP-completeness. Freeman. [MO]Google Scholar
Garnham, A. (1987) Mental models as representations of discourse and text. Ellis Horwood. [arPNJ-L]Google Scholar
Garnham, A. (1993) Is logieist cognitive science possible? Mind and Language (in press). [NC, MO]Google Scholar
Gentner, D. & Stevens, A. L., eds. (1983) Mental models. Erlbaum. [MDSB]Google Scholar
Gigerenzer, G. & Hug, K. (1992) Domain-specific reasoning: Social contracts, cheating, and perspective change. Cognition 43:127–71. [DWG]CrossRefGoogle ScholarPubMed
Gilbert, D. T. (1991) How mental systems believe. American Psychologist 46:107–19. [DWG]CrossRefGoogle Scholar
Gillan, D. J. (1981) Reasoning in the chimpanzee: II. Transitive inference. Journal of Experimental Psychology 7:150–64. [HD]Google Scholar
Giordano, F. R. & Weir, M. D. (1985) A first course in mathematical modeling. Addison-Wesley. [ASL]Google Scholar
Givan, R., McAllester, D. & Shalaby, S. (1991) Natural language based inference procedures applied to Schubert's steamroller. Proceedings of the Ninth National Conference on Artificial Intelligence.AAAI Press/MIT Press. [JMC]Google Scholar
Glymour, C. (1987) Android epistemology and the frame problem: Comments on Dennett's Cognitive wheels. In: The robot's dilemma: The frame problem in artificial intelligence, ed. Pylyshyn, Z. W.. Ablex. [MO]Google Scholar
Goldman, A. I. (1986) Epistemology and cognition. Harvard University press. [aPNJ-L]Google Scholar
Goodman, N. (1966) Fact, fiction and forecast. Hackett. [PE]Google Scholar
Goodman, N. (1968) Languages of art. Bobbs-Merrill. [KB]Google Scholar
Goodman, N. (1954/1983) Fact, fiction and forecast. 4th ed.Harvard University Press. [MO]Google Scholar
Govier, T. (1981) A practical study of argument (2nd ed.). Wadsworth. [AF]Google Scholar
Green, D. W. (1992) Counter-examples and the selection task: Fleshing-out the model. Paper presented to the Wason Symposium at the Second International Conference on Thinking. University of Plymouth, England, July 27–30. [DWG]Google Scholar
Greene, S. B. (1992) Multiple explanations for multiply quantified sentences: Are multiple models necessary? Psychological Review 99:184–87. [PP]CrossRefGoogle ScholarPubMed
Grice, H. P. (1975) Logic and conversation. In: Syntax and semantics, vol. 3: Speech acts. ed. Cole, P. & Morgan, J. L.. Seminar Press. [rPNJ-L]Google Scholar
Griffin, D. R. (1974) Animal thinking. Harvard University Press. [HD]Google Scholar
Griggs, R. A. (1983) The role of problem content in the selection task and in the THOG problem. In: Thinking and reasoning: Psychological approaches, ed. Evans, J. St. B. T.. Routledge & Kegan Paul. [aPNJ-L]Google Scholar
Griggs, R. A. & Cox, J. R. (1982) The elusive thematic-materials effect in Wason's selection task. British Journal of Psychology 73:407–20. [aPNJ- L, PP]CrossRefGoogle Scholar
Griggs, R. A. & Newstead, S. E. (1982) The role of problem structure in a deductive reasoning task. Journal of Experimental Psychology: Language. Memory, and Cognition 8:297307. [aPNJ-L]Google Scholar
Gustason, W. & Ulrich, E. (1973) Elementary symbolic logic. Holt, Rinehart & Winston. [JHF]Google Scholar
Guyote, M. J. & Sternberg, R. J. (1981) A transitive-chain theory of syllogistic reasoning. Cognitice Psychology 13:461525. [aPNJ-L]CrossRefGoogle Scholar
Hagert, G. (1984) Modeling mental models: Experiments in cognitive modeling of spatial reasoning. In: Advances in artificial intelligence, ed. O'Shea, T.. North-Holland. [aPNJ-L]Google Scholar
Hanks, S. & McDennott, D. (1985) Default reasoning, nonmonotonic logics and the frame problem. In: Proceedings of the American Association for Artificial Intelligence. Philadelphia, PA. [MO]Google Scholar
Hanks, S. & McDennott, D. (1986) Temporal reasoning and default logics. Computer Science Technical Report, No. 430, Yale University. [MO]Google Scholar
Hanks, S. & McDennott, D. (1987) Nonmonotonic logic and temporal projection. Artificial Intelligence 33:379412. [NC]CrossRefGoogle Scholar
Harman, G. (1986) Change in view: Principles of reasoning. Bradford Books/MIT Press. [rPNJ-L, KB]Google Scholar
Henle, M. (1962) The relation between logic and thinking. Psychological Review, 69:366–78. [ASL]CrossRefGoogle ScholarPubMed
Henle, M. (1978) Foreword to Human reasoning, ed. Revlin, R. & Mayer, R. E.. Winston. [aPNJ-L]Google Scholar
Hintikka, J. (1955) Form and content in quantification theory. Acta Philosophica Fennica 8:755. [arPNJ-L, ADA]Google Scholar
Hoch, S. J. (1985) Counterfactual reasoning and accuracy in predicting personal events. Journal of Experimental Psychology: Learning, Memory, and Cognition 11:719–31. [JBaro]Google Scholar
Hollis, M. (1970) Reason and ritual. In: Rationality, ed. Wilson, B. R.. Basil Blackwell. [aPNJ-L]Google Scholar
Huttenlocher, J. (1968) Constructing spatial images: A strategy in reasoning. Psychological Review 75:286–98. [aPNJ-L, HD]CrossRefGoogle Scholar
Inder, R. (1987) Computer simulation of syllogism solving using restricted mental models. Doctoral Dissertation, Center for Cognitive Science, University of Edinburgh. [RI]Google Scholar
Inhelder, B. & Piaget, J. (1958) The growth of logical thinking from childhood to adolescence. Routledge & Kegan Paul. [aPNJ-L, HD, ASL]CrossRefGoogle Scholar
Jackendoff, R. (1988) Exploring the form of information in the dynamic unconscious. In: Psychodynamics and cognition, ed. Horowitz, M. J.. University of Chicago Press. [aPNJ-L]Google Scholar
Jackson, S. L. & Griggs, R. A. (1990) The elusive pragmatic reasoning schemas effect. Quarterly Journal of Experimental Psychology 42A:353–73. [PP]CrossRefGoogle Scholar
Johnson-Laird, P. N. (1975) Models of deduction. In: Reasonings: Representation and process in children and adults, ed. Falmagne, R. J.. Erlbaum. [aPNJ-L]Google Scholar
Johnson-Laird, P. N. (1983) Mental models: Towards a cognitive science of language, inference, and consciousness. Cambridge University Press (Cambridge). [arPNJ-L, JBarw, BJM, SEN, MO, NEW]Google Scholar
Johnson-Laird, P. N. (1986) Conditionals and mental models. In: On conditionals, ed. Ferguson, C., Reilly, J., ter Meulen, A., Tragott, E. C.Cambridge University Press. [AGBtM]Google Scholar
Johnson-Laird, P. N. (1990a) Prepositional reasoning: An algorithm for deriving parsimonious conclusions. Unpublished paper. Princeton University. [aPNJ-L]Google Scholar
Johnson-Laird, P. N. (1990b) The development of reasoning ability. In: Causes of development: Interdisciplinary perspectives, ed. Butterworth, G. & Bryant, P.. Harvester Wheatsheaf. [rPNJ-L]Google Scholar
Johnson-Laird, P. N. (1992) Human and machine thinking. Erlbaum. [rPNJ-L]Google Scholar
Johnson-Laird, P. N. & Bara, B. C. (1984) Syllogistic inference. Cognition 16:161. [arPNJ-L, JStBTE, DWG, WH, SEN, NEW]CrossRefGoogle ScholarPubMed
Johnson-Laird, P. N., Byrne, R. M. J. (1989) Only reasoning. Journal of Memory and Language 28:313–30. [aPNJ-L]CrossRefGoogle Scholar
Johnson-Laird, P. N., Byrne, R. M. J. (1990) Meta-logienl problems: Knights, knaves, and Rips. Cognition 36:6981. [aPNJ-L]CrossRefGoogle ScholarPubMed
Johnson-Laird, P. N., Byrne, R. M. J. (1991) Deduction. Erlbaum.Google Scholar
Johnson-Laird, P. N., Byrne, R. M. J. (1992) Modal reasoning, models, and Manktelow and Over. Cognition 43:173–82. [rPNJ-L, KIM]CrossRefGoogle ScholarPubMed
Johnson-Laird, P. N., Byrne, R. M. J. & Schacken, W. (1992) Propositional reasoning by model. Psychological Review 99:418–39. [aPNJ-L]CrossRefGoogle Scholar
Johnson-Laird, P. N., Byrne, R. M. J. & Tabossi, P. (1989) Reasoning by model: The case of multiple quantification. Psychological Review 96:658–73. [arPNJ-L]CrossRefGoogle Scholar
Johnson-Laird, P. N., Byrne, R. M. J. & Tabossi, P. (1992) In defense of reasoning: A reply to Greene (1992). Psychological Review 99:188–90. [PP]CrossRefGoogle Scholar
Johnson-Laird, P. N. & Wason, P. C. (1970) Insight into a logical relation. Quarterly Journal of Experimental Psychology 22:4961. [KIM]CrossRefGoogle Scholar
Kamp, H. & Reyle, U. (1992) From discourse to logic. Kluwer Academic. [AGBtM]Google Scholar
Keil, F. C. (1991) The emergence of theoretical beliefs as constraints on concepts. In: The epigenesis of mind: Essays on biology and cognition, ed. Carey, S. & Gelman, R., Erlbaum. [rPNJ-L]Google Scholar
Köhler, W. (1938) The place of value in a world of fact. Liveright. [ASL]Google Scholar
Koriat, A., Liechtenstein, S. & Fischhoff, B. (1980) Reasons for confidence. Journal of Experimental Psychology: Human Learning and Memory 6:107–18. [JBaro]Google Scholar
Kuhn, D. (1991) The skills of argument. Cambridge University Press. [JBaro].CrossRefGoogle Scholar
Larkin, J. H., McDermott, J., Simon, D. & Simon, H. A. (1980) Expert and novice performance in solving physics problems. Science 208:1335–42. [RJS]CrossRefGoogle ScholarPubMed
Lee, G. & Oakhill, J. (1984) The effects of externalization on syllogistic reasoning. Quarterly Journal of Experimental Psychology 36A:519–30. [DWG]CrossRefGoogle Scholar
Legrenzi, P. (1970) Relations between language and reasoning about deductive rules. In: Advances in psycholinguistics, ed. Flores D'Arcais, G. B. & Levelt, W. J. M.. North-Holland. [aPNJ-L]Google Scholar
Legrenzi, P., Girotto, V. & Johnson-Laird, P. N. (1992) Focussing in reasoning and decision making. Manuscript submitted. [rPNJ-L]Google Scholar
Leslie, A. & Thaiss, L. (1992) Domain specificity in conceptual development: Neuropsychological evidence from autism. Cognition 43:225–51. [DWG]CrossRefGoogle ScholarPubMed
Luchins, A. S. & Luchins, E. H. (1964) On awareness and denotation of contradictions. Journal of General Psychology 71:233–46. [ASL]Google ScholarPubMed
Luchins, A. S. & Luchins, E. H. (1965a) Reactions to inconsistencies: Phenomenal versus logical contradictions. Journal of General Psychology 73:4765. [ASL]CrossRefGoogle ScholarPubMed
Luchins, A. S. & Luchins, E. H. (1965b) Logical foundations of mathematics for behavioral scientists. Holt, Reinhart and Winston. [ASL]Google Scholar
Luchins, A. S. & Luchins, E. H. (1970) Wertheimer's seminars revisited: Problem solving and thinking, vols. 1 & 2. Faculty Student Association. SUNY-Albany. [ASL]Google Scholar
Luchins, A. S. & Luchins, E. H. (1978) Revisiting Wertheimer's seminars, vol. 1. Values, social influences, and power. Associated University Presses. [ASL]Google Scholar
Luchins, A. S. & Luchins, E. H. (1987) Max Wertheimer in America: Part I. Gestalt Theory 9(2):70101. [ASL]Google Scholar
Luchins, A. S. & Luchins, E. H. (1991) Max Wertheimer: His life and work. vols. 1 & 2. Rensselaer Polytechnic Institute. [ASL]Google Scholar
Macnamara, J. (1986) A border dispute: The place of logic in psychology. Bradford Books/MIT Press. [aPNJ-L]Google Scholar
Madruga, J. A. G. (1984) Procesos de error en el razonamiento silogistico: Doble procesamiento y estrategia de verificacion por. In: Lecturas de psicologia del pensamiento, ed. Carretero, M. & Madruga, J. A. G.. Alianza. [aPNJ-L]Google Scholar
Manktelow, K. I. & Over, D. E. (1987) Reasoning and rationality. Mind and Language 2:199219. [aPNJ-L]CrossRefGoogle Scholar
Manktelow, K. I. & Over, D. E. (1991) Social roles and utilities in reasoning with deontic conditionals. Cognition 39:85105. [KIM]CrossRefGoogle ScholarPubMed
Manktelow, K. I. & Over, D. E. (1992a) Utility and deontic reasoning: Some comments on Johnson-Laird and Byrne. Cognition 43:183–88. [KIM]CrossRefGoogle ScholarPubMed
Manktelow, K. I. & Over, D. E. (1992b) Rationality, utility, and deontic reasoning. In: Rationality, ed. K. I. Manktelow & D. E. Over. Routledge (in press). [DO]Google Scholar
Marr, D. (1982) Vision: A computational investigation into the human representation and processing of visual information. Freeman. [arPNJ-L, KB]Google Scholar
McCarthy, J. M. (1980) Circumseription – a form of non-monotonic reasoning. Artificial Intelligence 13:2739. [NC]CrossRefGoogle Scholar
McCarthy, J. M. & Hayes, P. J. (1969) Some philosophical problems from the standpoint of artificial intelligence. In: Machine intelligence 4, ed. Meltzer, B. & Michie, D.. Edinburgh University Press. [NC]Google Scholar
McCluskey, E. J. (1956) Minimization of Boolean functions. Bell System Technical Journal 35:1417–44. [aPNJ-L]CrossRefGoogle Scholar
McDermott, D. (1986) A critique of pure reason. Technical Report, Department of Computer Science, Yale University, 06, 1986. [MO]Google Scholar
McDermott, D. (1987) A critique of pure reason. Computational Intelligence 3:151–60. [aPNJ-L, NC]CrossRefGoogle Scholar
McGinn, C. (1989) Mental content. Basil Blackwell. [aPNJ-L]Google Scholar
McGonigle, B. O. & Chalmers, M. (1977) Are monkeys logical? Nature 267:694–96. [HD]CrossRefGoogle ScholarPubMed
ter Meulen, A. (1992) Representing time in natural language. The dynamic interpretation of tense and aspect. Bradford Books/MIT Press (in press). [AGBtM]Google Scholar
Miller, G. A. & Johnson-Laird, P. N. (1976) Language and perception. Cambridge University Press (Cambridge). [aPNJ-L]CrossRefGoogle Scholar
Morton, A. (1988) Making arguments explicit: The theoretical interest of practical difficulties. In: Critical thinking: Proceedings of the First British Conference on Informal Logic and Critical Thinking, ed. Fisher, A.. University of East Anglia Press. [rPNJ-L]Google Scholar
Newell, A. (1981) Reasoning, problem solving and decision processes: The problem space as a fundamental category. In: Attention and performance, vol. 8, ed. Nickerson, R.. Erlbaum. [aPNJ-L]Google Scholar
Newell, A. (1990) Unified theories of cognition. Harvard University Press. [arPNJ-L, NEW]Google Scholar
Newstead, S. E. (1989) Interpretational errors in syllogistic reasoning. Journal of Memory and Language 28:7891. [PP]CrossRefGoogle Scholar
Newstead, S. E., Maaktelow, K. I. & Evans, J. St. B. T. (1982) The role of imagery in the representation of linear orderings. Current Psychological Research 2:2132. [rPNJ-L]CrossRefGoogle Scholar
Newstead, S. E., Pollard, P., Evans, J. St.B. T. & Allen, J. L. (1992) The source of belief bias effects in syllogistic reasoning. Cognition. [SEN]Google Scholar
Nisbett, R. E. & Ross, L. (1980) Human inference: Strategies and shortcomings of social judgment. Prentice Hall. [aPNJ-L]Google Scholar
Oakhill, J. V. & Johnson-Laird, P. N. (1985a) Rationality, memory and the search for counterexamples. Cognition 20:7994. [rPNJ-L]CrossRefGoogle ScholarPubMed
Oakhill, J. V. & Johnson-Laird, P. N. (1985b) The effects of belief on the spontaneous production of syllogistic conclusions. Quarterly Journal of Experimental Psychology 37A:553–69. [aPNJ-L]CrossRefGoogle Scholar
Oakhill, J. V., Johnson-Laird, P. N. & Garnham, A. (1989) Believability and syllogistic reasoning. Cognition 31:117–40. [aPNJ-L, SEN]CrossRefGoogle ScholarPubMed
Oaksford, M. & Chater, N. (1991) Against logieist cognitive science. Mind and Language 6:138. [NC, MO]CrossRefGoogle Scholar
Oaksford, M. & Chater, N. (1992a) Reasoning theories and bounded rationality. In: Rationality, ed. Manktelow, K. & Over, D.. Routledge. [MO]Google Scholar
Oaksford, M. & Chater, N. (1992b) Bounded rationality in taking risks and drawing inferences. Theory & Psychology 2:225–30. [MO]CrossRefGoogle Scholar
O'Brien, D. P. (in press) Mental logic and irrationality: We can put a mail on the moon, so why can't we solve those logical reasoning problems? In: Rationality, ed. K. I. Manktelow & D. E. Over. Routledge. [MDSB, DO]Google Scholar
O'Brien, F. (1939/1967) At swim-two-birds. Penguin Books. [aPNJ-L]Google Scholar
Oden, G. C. (1987) Concept knowledge and thought. Annual Review of Psychology 38:203–27. [aPNJ-L]CrossRefGoogle Scholar
Osherson, D. (1975) Logic and models of logical thinking. In: Reasoning: Representation and process in children and adults, ed. Falmagne, R. J.. Erlbaum. [aPNJ-L]Google Scholar
Partee, B., ter Meulen, A. & Wall, R. (1990) Mathematical methods in linguistics. Kluwer. [AGBtM]Google Scholar
Peakcocke, C. (1986) Explanation in computation psychology: Language, perception, and level 1.5. Mind & Language 1:101–23. [KB]CrossRefGoogle Scholar
Perkins, D. N., Faraday, M. & Bushey, B. (1991) Everyday reasoning and the roots of intelligence. In: Informal reasoning and education, ed. Voss, J. F., Perkins, D. N. & Segal, J. W.. Erlbaum. [JBaro]Google Scholar
Piaget, J. (1970) Genetic epistemology (translated by Duckworth, Elinor). Columbia University Press. [HD]Google Scholar
Piaget, J. (1977) The essential Piaget: An interpretative reference and guide, ed. Gruber, H. E. & Voneche, J. J.. Basic Books. [BGB]Google Scholar
Politzer, G. & Braine, M. D. S. (1991) Responses to inconsistent premisses cannot count as suppression of valid inferences. Cognition 38:103–8. [rPNJ-L, SF, DO]CrossRefGoogle ScholarPubMed
Polk, T. A. & Newell, A. (1988) Modeling human syllogistic reasoning in Soar. In: Tenth Annual Conference of the Cognitive Science Society 181–87. Erlbaum. [aPNJ-L]Google Scholar
Polk, T. A. & Newell, A. (1992) A verbal reasoning theory for categorical syllogisms. Unpublished paper. Department of Psychology, Carnegie Mellon University. [rPNJ-L, TAP]Google Scholar
Pollock, J. (1989) How to build a person: A prolegomenon. Bradford Books/MIT Press. [aPNJ-L]Google Scholar
Popper, K. H. (1934/1959) The logic of scientific discovery. Basic Books. [BGB]Google Scholar
Prier, R. A. (1976) Archaic logic: Symbol and structure in lleraclitus, Parmenides, and Empedocles. Mouton. [BJM]CrossRefGoogle Scholar
Pullman, G. K. (1991) The great Eskimo vocabulary hoax and other irreverent essays on the study of language. University of Chicago Press. [KMG]Google Scholar
Pylyshyn, Z. (1980) Computation and cognition: Issues in the foundations of cognitive science. Behavioral and Brain Sciences 3:111–32. [RI]CrossRefGoogle Scholar
Pylyshyn, Z. (1981) The imagery debate: Analogue media versus tacit knowledge. In: Imagery, ed. Block, N.. MIT Press. [aPNJ-L]Google Scholar
Quine, W. V. O. (1953) Two dogmas of empiricism. In: From a logical point of view. ed. Quine, W. V. O.. Harvard University Press. [MO]Google Scholar
Quine, W. V. O. (1955) A way to simplify truth functions. American Mathematical Monthly 59:521–31. [aPNJ-L]CrossRefGoogle Scholar
Rawls, J. (1970) A theory of justice. Harvard University Press. [PE]Google Scholar
Reiter, R. (1973) A semantically guided deductive system for automatic theorem-proving. Proceedings of Third International Joint Conference on Artificial Intelligence 4146. [aPNJ-L]Google Scholar
Reiter, R. (1978/1985) On reasoning by default. In: Readings in knowledge representation ed. Brachman, R. & Levesque, H.. Morgan Kaufman. [MO]Google Scholar
Richardson, J. T. E. (1987) The role of mental imagery in models of transitive inference. British Journal of Psychology 78:189203. [rPNJ-L]CrossRefGoogle Scholar
Riley, C. A. & Trabasso, T. (1974) Comparatives, logical structures, and encoding in a transitive inference task. Journal of Experimental Child Psychology 17:187203. [HD]CrossRefGoogle Scholar
Rips, L. J. (1983) Cognitive processes in propositional reasoning. Psychological Review 90:3871. [aPNJ-L, KMG]CrossRefGoogle Scholar
Rips, L. J. (1986) Mental muddles. In: The representation of knowledge and belief, ed. Brand, M. & Harnish, R. M.. University of Arizona Press. [aPNJ-L. KB]Google Scholar
Rips, L. J. (1989) The psychology of knights and knaves. Cognition 31:85116. [aPNJ-L]CrossRefGoogle ScholarPubMed
Rogoff, B. & Lave, J., eds. (1984) Everyday cognition: Its development in social context. Harvard University Press. [KMG]Google Scholar
Rumelhart, D. E. (1979) Analogical processes and procedural representation (Technical Report No. 81). Center for Human Information Processing, University of California, San Diego. [PP]Google Scholar
Rumelhart, D. E. (1980) Schemata: The building blocks of cognition. In: Theoretical issues in reading comprehension, ed. Spiro, R. J., Bruce, B. C. & Brewer, W. F.. Erlbanm. [PP]Google Scholar
Rumelhart, D. E. (1989) Towards a microstruetural account of human reasoning. In: Similarity and analogical reasoning, ed. Vosniadou, S. & Ortony, A.. Cambridge University Press (Cambridge). [aPNJ-L]Google Scholar
Rumelhart, D., Smolensky, P., McClelland, J. L. & Hinton, G. E. (1986) Schemata and sequential thought processes in PDP models. In: Parallel distributed processing: Explorations in the microstructure of cognition, vol. 2: Psychological and biological models, ed. McClelland, J. M. & Rumelhart, D.. MIT Press. [JStBTE]Google Scholar
Russell, J. (1987) Rule-following, mental models, and the developmental view. In: Meaning and the growth of understanding: Wittgenstein's significance for developmental psychology, ed. Chapman, M. & Dixon, R. A.. Springer. [aPNJ-L]Google Scholar
Scribner, S. (1986) Some characteristics of practical thought. In: Practical intelligence, ed. Sternberg, R. J. & Wagner, R.. Cambridge University Press. [KMG]Google Scholar
Selz, O. (1935) Versuche zur Hebung des Inteiligenzniveaus: Ein Beitrag zur Theorie der Intelligenz und ihrer erziehlichen Beeinflussung. Zeitschrift für Psychologie 134:236301. [JBaro]Google Scholar
Shallice, T. (1988) From neuropsychology to mental structure. Cambridge University Press (Cambridge). [DWG]CrossRefGoogle Scholar
Shastri, L. & Ajjanagadde, V. G. (1990) An optimal limited inference system. Proceedings of the Eighth National Conference on Artificial Intelligence. AAAI Press/MIT Press. [JMC]Google Scholar
Shaw, G. B. (1933) The adventures of the black girl in her search for God. Cited by Skinner, B. F. (1953) Science and human behavior. Macmillan. [HD]Google Scholar
Shoham, Y. (1987) Reasoning about change: Time and causation from the standpoint of artificial intelligence. MIT Press. [NC]Google Scholar
Simon, H. A. (1991) Models of my life. Basic Books. [rPNJ-L]Google Scholar
Smullyan, R. M. (1968) First order logic. Springer-Verlag. [aPNJ-L, ADA]CrossRefGoogle Scholar
Sperber, D. & Wilson, D. (1986) Relevance: Communication and cognition. Basil Blackwell. [aPNJ-L]Google Scholar
Stenning, K. (1992) Distinguishing conceptual and empirical issues about mental models. In: Models in the mind, ed. Rogers, Y., Rutherford, A. & Bibby, P.. Academic Press. [KS]Google Scholar
Stenning, K. & Oaksford, M. R. (in press) Rational reasoning and human implementations of logic. In: Rationality, ed. K. Manktelow & D. Over. Routledge and Kegan Paul. [KS]Google Scholar
Stenning, K. & Oberlander, J. (Submitted) A cognitive theory of graphical and linguistic reasoning: Logic and implementation. Research Paper 20. Human Communication Research Centre. University of Edinburgh, Edinburgh. [KS]Google Scholar
Stich, S. (1990) The fragmentation of reason. MIT Press. [PE]Google Scholar
Thomas, S. (1986) Practical reasoning in natural language (3rd ed.). Prentice Hall. [AF]Google Scholar
Toulmin, S. E. (1958) The uses of argument. Cambridge University Press (Cambridge). [rPNJ-L]Google Scholar
Traugott, E., ter Meulen, A., Reilly, J. & Ferguson, C., eds. (1986) On conditionals. Cambridge University Press. [AGBtM]CrossRefGoogle Scholar
Tversky, A. & Kahneman, D. (1973) Availability: A heuristic for judging frequency and probability. Cognitive Psychology 5:207–32. [rPNJ-L]CrossRefGoogle Scholar
Tweney, R. D. (1989) A framework for the cognitive psychology of science. In: Psychology of science: Contributions to metascience, ed. Gholson, B., Shadish, W. R. Jr, Neimeyer, H. A. & Houts, A. C.. Cambridge University Press (Cambridge). [RDT]Google Scholar
Tweney, R. D., Doherty, M. E. & Mynatt, C. R., eds. (1981) On scientific thinking. Columbia University Press. [RDT]Google Scholar
von Fersen, L., Wynne, C. D. L., Delius, J. & Stadden, J. E. R. (1991) Transitive inference formation in pigeons. Journal of Experimental Psychology: Animal Behavior Processes 17:334–41. [HD]Google Scholar
Wason, P. C. (1965) The context of plausible denial. Journal of Verbal Learning and Verbal Behavior 4:711. [aPNJ-L]CrossRefGoogle Scholar
Wason, P. C. (1966) Reasoning. In: New horizons in psychology, ed. Foss, B. M.. Penguin. [arPNJ-L, PL]Google Scholar
Wason, P. C. (1983) Realism and rationality in the selection task. In: Thinking and reasoning: Psychological approaches, ed. Evans, J. St. B. T.. Routledge & Kegan Paul. [aPNJ-L]Google Scholar
Wason, P. C. & Green, D. W. (1984) Reasoning and mental representation. Quarterly Journal of Experimental Psychology 36A:597610. [aPNJ-L]CrossRefGoogle Scholar
Wason, P. C. & Johnson-Laird, P. N. (1972) Psychology of reasoning: Structure and content. Harvard University Press. [aPNJ-L, BCB]Google Scholar
Wertheimer, M. (1912) Numbers and numerical concepts in primitive peoples (abridged translation). In: A source book of Gestalt psychology, ed. Ellis, W. D. (1938). Harcourt, Brace. [ASL]Google Scholar
Wertheimer, M. (1925) The syllogism and productive thinking (abridged translation). In: A source book of Gestalt psychology, ed. Ellis, W. D. (1938). Harcourt, Brace. [ASL]Google Scholar
Wertheimer, M. (1934) On truth. Social Research 1:135–46. [ASL]Google Scholar
Wertheimer, M. (1945) Productive thinking. Enlarged edition (1959). Harper. [ASL]Google Scholar
Wertheimer, M. (1961) Productive thinking. Tavistock. [JStBTE]Google Scholar
Wetherick, N. E. (1989) Psychology and syllogistic reasoning. Philosophical Psychology 2:111–24. [NEW]CrossRefGoogle Scholar
Wetherick, N. E. (1991) What goes on in the mind when we solve syllogisms? In: Mental images in human cognition, ed. Logie, R. H. & Denis, M.. North Holland. [NEW]Google Scholar
Wetherick, N. E. (in press) Human rationality. In: Rationality, ed. K. I. Manktelow & D. E. Over. Routledge. [NEW]Google Scholar
Wetherick, N. & Gilhooly, K. (1990) Syllogistic reasoning: Effects of premise order. In: Lines of thinking: Reflections on the psychology of thought, vol. 1, ed. Gilhooly, K. J., Keane, M. T. G., Logic, R. H. & Erdos, G.. Wiley. [aPNJ-L, NEW]Google Scholar
Wise, M. N. (1979) The mutual embrace of electricity and magnetism. Science 203:1310–18. [rPNJ-L]CrossRefGoogle ScholarPubMed
Wood, D. J. (1969) The nature and development of problem solving strategies. Unpublished Doctoral Dissertation. University of Nottingham. [RJS]Google Scholar
Woodworth, R. S. (1938) Experimental psychology. Holt. [MDSB]Google Scholar
Woodworth, R. S. & Sells, S. B. (1935) An atmosphere effect in formal syllogistic reasoning. Journal of Experimental Psychology 18:451–60. [aPNJ-L]CrossRefGoogle Scholar
Yates, J. (1985) The content of awareness is a model of the world. Psychological Review 92:249–85. [rPNJ-L]CrossRefGoogle Scholar
Yule, P. & Stenning, K. (1992) The figural effect and a graphical algorithm for syllogistic reasoning. In: Proceedings of the Fourteenth Annual Conference of the Cognitive Science Society, Bloomington, Indiana. [KS]Google Scholar
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