Accession Number:
AD0621160
Title:
MATHEMATICAL MODELS OF SYNONYMY,
Descriptive Note:
Corporate Author:
CALIFORNIA UNIV LOS ANGELES
Personal Author(s):
Report Date:
1965-01-01
Pagination or Media Count:
19.0
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