Mereological relations

  • Authors:

  • Steven J. Steinsaltz;A. J. Goldman

  • Affiliations:

  • Department of Mathematics and Statistics, Trenton State College Trenton, New Jersey 08650-4700, U.S.A.;Department of Mathematical Sciences, The Johns Hopkins University Baltimore, Maryland 21218-2689, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1993

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Abstract

A ''mereological'' relation is one of ''part-to-whole'' type. This paper proposes a model-theoretic approach to identifying and classifying such relations. Three initial applications of this approach are investigated. In each case, the class of identified relations is found to consist precisely of the partial orders on the underlying set. Further applications are proposed.