# adicity

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## Contents

## English[edit]

### 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.

- Equivalently, it says that all relations of
**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.

- What can be predicted is that the
**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.

- We have seen that every relation, without exception, necessarily has a term set, and the necessary properties of simplicity and an

- (chemistry, obsolete) Valence.

#### Synonyms[edit]

#### Related terms[edit]

#### Translations[edit]

number of arguments