Definitions
from The Century Dictionary.
 noun In chem., combining capacity, according as an element or a compound is a monad, dyad, etc.; same as
valency .
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun logic, mathematics, computer science The number of
arguments oroperands afunction oroperation takes. For arelation , the number ofdomains in thecorresponding Cartesian product .  noun chemistry, obsolete
Valence .
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

Peirce's socalled “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

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.

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).

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.

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

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

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

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.

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

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.,
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