Usually means: Opposite pairs never both ordered.
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We found 4 dictionaries that define the word antisymmetry:

General (2 matching dictionaries)
  1. antisymmetry: Wiktionary
  2. Antisymmetry: Wikipedia, the Free Encyclopedia

Science (2 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. antisymmetry: PlanetMath Encyclopedia

Definitions from Wiktionary (antisymmetry)

noun:  (mathematics, set theory) The condition of being antisymmetric.
noun:  (linguistics) A theory of syntactic linearization, proposing that hierarchical structure in natural language maps universally onto a particular surface linearization, namely specifier-head-complement branching order.

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