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nonsymmetrical relation
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nonsymmetrical relation

logic
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In logic, a nonsymmetrical relation is a type of dyadic (two-place) relation where the relation does not hold between two objects in both directions. Specifically, if a relation R holds between object x and object y (Rxy), it does not necessarily hold between y and x (Ryx). This is distinct from symmetrical relations, where if Rxy is true, then Ryx must also be true, and asymmetrical relations, where if Rxy is true, then Ryx must be false. An example of a nonsymmetrical relation is "loves," as one person can love another, but the second person may not love the first in return.12

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4 Britannica Sources
  1. relation
  2. formal logic - Classification of dyadic relations
  3. logical relation
  4. philosophy of logic - Limitations of logic

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