Accession Number : AD0621160

Title :   MATHEMATICAL MODELS OF SYNONYMY,

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : Edmundson,H. P.

Report Date : 1965

Pagination or Media Count : 19

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)

Descriptors :   (*LANGUAGE, MATHEMATICAL MODELS), VOCABULARY, ALGEBRA, ALGEBRAIC GEOMETRY, ALGEBRAIC TOPOLOGY, PROJECTIVE GEOMETRY

Distribution Statement : APPROVED FOR PUBLIC RELEASE