From-adic (taken frommonadic/dyadic/triadic [function/operator]) +-ity, or alternatively from-ad (taken frommonad/duad/triad) +-icity. Compare Latinate equivalentarity, based on-ary.
adicity (pluraladicities)
- (logic, mathematics, computer science) The number ofarguments oroperands afunction oroperation takes. For arelation, the number ofdomains in thecorrespondingCartesian product.
- 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,
- Equivalently, it says that all relations ofadicity greater than 3 may be reduced to relations ofadicities 1, 2, and/or 3. The negative component of the Thesis says, first, that relations ofadicity 2 may notin general be constructed from (reduced to) relations exclusively ofadicity 1; and, second, that relations ofadicity 3 and greater may notin general be constructed from (equivalently: reduced to) relations exclusively ofadicities 1 and/or 2.
2004, Susan Rothstein,Predicates and Their Subjects, Springer,page47:What can be predicted is that theadicity of any syntactic predicate is the same: since itsadicity is a grammatical and not a thematic fact, semantic differences between predicates cannot affect their grammatical structure.
- 2007, Helier J. Robinson,Relation Philosophy of Mathematics, Science, and Mind, Sharebooks Publishing, 2nd Edition,page 68,
- We have seen that every relation, without exception, necessarily has a term set, and the necessary properties of simplicity and anadicity: relations without these are impossible, merely nominal.
- (chemistry, obsolete)Valence.
