
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 partofspeech 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