Abstractional Concept Mapping: A Foundational Model for Analogical Reasoning

  1. Charles Dierbach1,
  2. Daniel L. Chester2

Article first published online: 17 DEC 2002

DOI: 10.1111/0824-7935.00028

Issue

Computational Intelligence

Computational Intelligence

Volume 13, Issue 1, pages 32–86, February 1997

Additional Information

How to Cite

Dierbach, C. and Chester, D. L. (1997), Abstractional Concept Mapping: A Foundational Model for Analogical Reasoning. Computational Intelligence, 13: 32–86. doi: 10.1111/0824-7935.00028

Author Information

  1. 1

    Department of Computer and Information Sciences, Towson State University, Towson, MD 21204 U.S.A.,

  2. 2

    Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716 U.S.A.

Publication History

  1. Issue published online: 17 DEC 2002
  2. Article first published online: 17 DEC 2002

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Keywords:

  • analogical reasoning;
  • analogy;
  • literal similarity;
  • metaphor

We present a mathematical model providing a formal basis for analogical reasoning, referred to as abstractional concept mapping. The approach provides a formal basis for all comparison–based reasoning (e.g., literal similarity, analogy, metaphor, and scientific models) in that given any two descriptions in first–order logic, arbitrary comparisons of similarity are representable as first–order theories (referred to as “comparison theories”), dependent only on the notion of logical truth and not on domain–specific heuristics or particular features of the knowledge representation.

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