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- W2045361566 abstract "Traditionally, synonymy has been regarded as a binary relation between two words. Graphs of these binary relations were drawn for several sets of words based on Webster's Dictionary of S~non~ms and matrices for these graphs were exhibited as an equivalent representation. These empirical results showed that the concepts of synonymy and entonymy required the use of ternary relations between two words in a specified sense rather than simply a binary relation between two words. The synonymy relation was then defined implicitly, rather than explicitly, by three axiams stating the properties of being reflexive, symmetriC, and t/~ansitive. The entonym¥ relation was also defined by three axioms stating the properties of being irreflexive, symmetric, and antit/~ansit~ve (the last term was coined for that study). It was noted that thes~ six axioms could be expressed in the calculus of relations and that this relation algebra could be used to produce shorter proofs of t~eorems. However, no proofs were given. In addition, several gec~aet~ical and topological models of synonymy and antonymy '..J~ were posed and examined. ,~ It was nOted that certain of these models were of more theoretical than practical interest. Each model was seen to be simple in that it could be expressed from mathematically elementary concepts, end each stressed certain aspects of the linguistic object being modeled at the expense of others. However, there seemed to be little theoreti~al preference among them. Their adequacy as models could be measured by their generality and predictive power. In terms of these criteria the algebraic model, whether expressed in terms of relations, graphs, or matrices, seamed to have the most usefulness. In part, this was due to the fact that one geametrical model, although highly suggestive, did not include a precise specification of the origin, axes, or coordinates for words in an n-dimensional space. Similarly, one topological model required a closure operation for each of the intensions or senses and had no linguistically interesting interpretation." @default.
- W2045361566 created "2016-06-24" @default.
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- W2045361566 date "1967-01-01" @default.
- W2045361566 modified "2023-09-24" @default.
- W2045361566 title "1967 International Conference on Computational Linguistics axiomatic characterization of synonymy and antonymy" @default.
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- W2045361566 doi "https://doi.org/10.3115/991566.991591" @default.
- W2045361566 hasPublicationYear "1967" @default.
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