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<Paper uid="C67-1025">
  <Title>1967 International Conference on Computational Linguistics Axiomatic Characterization of Synonymy and Antonymy</Title>
  <Section position="4" start_page="7" end_page="7" type="concl">
    <SectionTitle>
4. Conc~sions
</SectionTitle>
    <Paragraph position="0"> These results support the belief that the algebraic characterization is insightful and appropriate. For example, the assumption that synonymy is an equivalence relation also has been made, either directly or indirectly, by F. Kiefer and S. Abraham (1965), U. Weinreich (1966), and others. Since the axiom system defines the notions of synonymy and anton~ Jointly and implicitly, it avoids certain difficulties that are encountered when attempts are made to define these notions separately and explicitly.</Paragraph>
    <Paragraph position="1"> iO These topological characterizations provide a no,metric representation of what has been called informally a &amp;quot;semantic space&amp;quot;. Previous attempts to construct a semantic space that is metric (i.e., one for which a distance function is defined) have not met with much success. The consideration of general topological spaces avoids this difficulty.</Paragraph>
  </Section>
class="xml-element"></Paper>