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- adj. having a valency of n
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Moreover, by iterated applications of the ordered pair function we can represent n-tuples and thus also quantification over n-adic relations.
At the time of Principia Mathematica, complexes in Russell's ontology were all described as taking the form of n individuals entering into an n-adic relation.
In the new terminology, the phrase "atomic fact" was introduced for the simplest kind of fact, i.e., one in which n particulars enter into an n-adic relation.