English [ edit ]

adicity English Wikipedia has an article on: Wikipedia

Etymology [ edit ]

From -adic (taken from monadic/dyadic/triadic [function/operator]) + -ity, or alternatively from -ad (taken from monad/duad/triad) + -icity. Compare Latinate equivalent arity, based on -ary.

Noun [ edit ]

adicity (plural adicities)

( logic , mathematics , computer science ) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian 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 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, second, that relations of adicity 3 and greater may not in general be constructed from (equivalently: reduced to) relations exclusively of adicities 1 and/or 2.

, Robert W. Burch, , Nathan Houser, Don D. Roberts, James Van Evra (editor), , Indiana University Press, page 233, 2004 , Susan Rothstein, Predicates and Their Subjects , Springer, page 47, 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.

, Susan Rothstein, , Springer, page 47, 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 an adicity: relations without these are impossible, merely nominal. ( chemistry , obsolete ) Valence.

Synonyms [ edit ]

( number of arguments ) adinity arity type rank

Related terms [ edit ]

Translations [ edit ]

number of arguments Dutch: ariteit (nl) f , plaatsigheid (nl) f

, French: arité (fr) m

German: Stelligkeit f Greek: βαθμός (el) ( vathmós ) , τάξη (el) ( táxi )

, Ido: parametro (io) -op

-op Italian: arietà f

See also [ edit ]