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
- Jun 14, 1966
- Accession Number
- AD0635202
Entities
People
- H. P. Edmundson
Organizations
- System Development Corporation