Children'S Syllogistic Reasoning

Most theories of the development of deductive ability propose that children acquire formal rules of inference. An alternative theory assumes that reasoning consists of constructing a mental model of the situation described in the premises, scanning the model for an informative conclusion, and then searching for alternative models that refute this conclusion. Hence, performance should reflect two principal factors: the difficulty of constructing a model, which depends on the “figure” of the premises, and the number of models that have to be evaluated to respond correctly. In Experiment 1, two groups of children (9- to 10- and 11- to 12-year-olds) drew conclusions from 20 pairs of syllogistic premises. The results confirmed that children are affected both by figure and by number of models. Experiment 2 corroborated these findings for all 64 possible forms of syllogistic premises. The development of reasoning ability may therefore depend on the acquisition, not of formal rules of logic, but of procedures for manipulating models.

[1]  J. Deutsch.  Perception and Communication , 1958, Nature.

[2]  Russell Revlis,et al.  Two models of syllogistic reasoning: Feature selection and conversion , 1975 .

[3]  K. Lovell,et al.  An experimental study of the growth of some logical structures. , 1962, British journal of psychology.

[4]  H. Laborit,et al.  [Experimental study]. , 1958, Bulletin mensuel - Societe de medecine militaire francaise.

[5]  M. Braine.  On the Relation Between the Natural Logic of Reasoning and Standard Logic. , 1978 .

[6]  P. Johnson-Laird,et al.  Mental Models: Towards a Cognitive Science of Language, Inference, and Consciousness , 1985 .

[7]  E. B. Page.  Ordered Hypotheses for Multiple Treatments: A Significance Test for Linear Ranks , 1963 .

[8]  L. Rips.  Cognitive Processes in Propositional Reasoning. , 1983 .

[9]  Robert J. Sternberg,et al.  A transitive-chain theory of syllogistic reasoning , 1981, Cognitive Psychology.

[10]  Lawrence T. Frase.  Effects of semantic incompatibility upon deductive reasoning , 1968 .

[11]  B. N. Phillips,et al.  Carmichael's Manual of child psychology. , 1972 .

[12]  G. Boolos.  On ‘syllogistic inference’ , 1984, Cognition.

[13]  J. Piaget,et al.  The Growth Of Logical Thinking From Childhood To Adolescence: An Essay On The Construction Of Formal Operational Structures , 1958 .

[14]  Evert W. Beth,et al.  Mathematical Epistemology And Psychology , 1966 .

[15]  P. Johnson-Laird.  On Conditionals: CONDITIONALS AND MENTAL MODELS , 1986 .

[16]  H. Gardner,et al.  Language and Learning: The Debate between Jean Piaget and Noam Chomsky , 1983 .

[17]  Louis S. Dickstein,et al.  The effect of figure on syllogistic reasoning , 1978 .

[18]  P. Mussen,et al.  Carmichael's Manual of Child Psychology , 1972 .

[19]  E. Markman,et al.  Classes and collections: Internal organization and resulting holistic properties , 1976, Cognitive Psychology.

[20]  Philip N. Johnson-Laird,et al.  The Quarterly Journal of Experimental Psychology Section A: Human Experimental Psychology the Effects of Belief on the Spontaneous Production of Syllogistic Conclusions , 2022 .

[21]  Margaret C. Donaldson.  Children's Minds , 1978 .

[22]  P. Johnson-Laird,et al.  The psychology of syllogisms , 1978, Cognitive Psychology.

[23]  P. Johnson-Laird,et al.  Psychology of Reasoning: Structure and Content , 1972 .