MATHEMATICAL MODELS OF SYNONYMY,

Abstract

An historical summary is made of the concepts of synonymy and antonymy. The roles of part-of-speech and context of a word are considered. The concept of a synonym of a word is shown to require the use of a ternary relation rather than that of a binary relation. Synonymy is defined implicitly, rather than explicitly, by three axioms that lead to equivalence relations that partition the set of content words of a language into equivalence classes. Antonymy is defined implicitly by another set of three axioms. Several algebraic, geometrical, and topological models of synonymy and antonymy are posed and examined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0621160

Entities

People

  • H. P. Edmundson

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Computational Linguistics
  • Computational Science
  • Cooperation
  • Grammars
  • Language
  • Linguistics
  • Mathematical Models
  • Models
  • New York
  • Social Sciences

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