## Definitions

• n. The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
• n. Valence.

### from The Century Dictionary and Cyclopedia

• n. In chem., combining capacity, according as an element or a compound is a monad, dyad, etc.; same as valency.

## Etymologies

From Ancient Greek root -ad, + -icity. Compare arity, which comes from the corresponding Latin root. (Wiktionary)

## Examples

• In 1870 Peirce published a long paper “Description of a Notation for the Logic of Relatives” in which he introduced for the first time in history, two years before Frege's Begriffschrift a complete syntax for the logic of relations of arbitrary adicity (or: arity).

Nobody Knows Nothing

• Peirce's so-called “Reduction Thesis” is the thesis that all relations, relations of arbitrary adicity, may be constructed from triadic relations alone, whereas monadic and dyadic relations alone are not sufficient to allow the construction of even a single

Nobody Knows Nothing

• Again: rheme (by which Peirce meant a relation of arbitrary adicity or arity) was a first, proposition was a second, and argument was a third.

Nobody Knows Nothing

• An account of the number and role of the relata should first formulate general determinants of the adicity of relations, and then apply these determinants to causation.

The Metaphysics of Causation

• Contrastivity Revisited: A final argument to consider on the question of selection revisits adicity

The Metaphysics of Causation

• As to number and role, the dispute presupposes that there is a unique number that is the adicity.

The Metaphysics of Causation

• He next considered the possibility of assigning a fixed limit to this valency or adicity of an atom, and concluded that the adicity was not absolutely fixed, but was fixed in relation to certain elements, e.g.,

Scientific American Supplement, No. 324, March 18, 1882

• Two points remain to be mentioned: The first is the relationship between alteration of adicity and two series (ous and ic) of compounds.

Scientific American Supplement, No. 324, March 18, 1882

• NH_ {3}, NH_ {4} Cl. The term "capacity of saturation," may be used as a synonym for adicity, if care be taken to distinguish it from other kinds of saturation, such as an acid with an alkali, etc.

Scientific American Supplement, No. 324, March 18, 1882

• The lecturer then referred to an important difference in the adicity of chlorine and oxygen.

Scientific American Supplement, No. 324, March 18, 1882

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