adicity

Noun

adicity (plural adicities)

1. The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
   • Equivalently, it says that all relations of adicity greater than 3 may be reduced to relations of adicities 1, 2, and/or 3. The negative component of the Thesis says, first, that relations of adicity 2 may not in general be constructed from (reduced to) relations exclusively of adicity 1; and...1997, Robert W. Burch, 13: Peirce's Reduction Thesis, Nathan Houser, Don D. Roberts, James Van Evra (editor), Studies in the Logic of Charles Sanders Peirce, Indiana University Press, page 233
   • What can be predicted is that the adicity of any syntactic predicate is the same: since its adicity is a grammatical and not a thematic fact, semantic differences between predicates cannot affect their grammatical structure.2004, Susan Rothstein, Predicates and Their Subjects, Springer, page 47

   Synonyms:

   adinity, arity, type, rank

2. (obsolete) Valence.