An interpretive framework of cognitive structures

William M Bart, Michael Bayard Smith

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


A precise formulation of both cognitive structureand its related theory is provided through use of the mathematical theory of categories. Weaknesses and imprecision in cognitive theory are identified. Using category theory, cognitive structure and related Piagetian theoretic terms are precisely defined and some interrelationships are discussed. Applications to intelligence, learning, and developmental sequence theory are provided. This theoretical framework is an example of the logico-algebraic approach to developmental cognitive psychology, which is intended to produce theoretical integration of concepts and new directions for empirical studies in the cognitive developmental field.

Original languageEnglish (US)
Pages (from-to)161-175
Number of pages15
JournalHuman Development
Issue number3
StatePublished - Jan 1 1974


  • Category
  • Cognitive development
  • Cognitive structure
  • Domain
  • Field
  • Horizontal décalage
  • Morphism
  • Period
  • Reversible
  • Rule
  • Stage


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