n-ary love

# n-ary

## Definitions

• adjective mathematics of, or relating to, n entities (where n is an arbitrary or large number)

## Etymologies

From n ("an arbitrary number") + -ary

## Examples

• We can think of the “extension” of an n-ary quantifier or sentential connective C on a domain D as a function from n-tuples of sets of assignments (of values from D to the language's variables) to sets of assignments.

Logical Constants

• If one thinks of a structure as a kind of ordered n-tuple of sets etc., then a class Mod (T) becomes an n-ary relation, and Pasch's account agrees with ours.

Model Theory

• And we interpret each n-ary operation symbol f as the n-ary operation that takes any n terms t1,

Algebra

• In algebraic geometry varieties transform via regular n-ary functions f: An

Algebra

• Thus, the class of n-ary relations of elements of U (for any given n), the class of n-ary relations among relations of elements of

Alfred Tarski

• Dn and range included in D, a permutation of the class of n-ary relations among relations of elements of D, etc.

Alfred Tarski

• (A1, ¦, An) is the type of n-ary relations over objects of respective types

Type Theory

• Î¸ on the carrier A of A that satisfies for every n-ary connective —  L the following compatibility property: for every a1,

Propositional Consequence Relations and Algebraic Logic

• A standard interpretation is given by a non-empty domain M and for each n-ary predicate P by a n-ary fuzzy relation on M, i.e., a mapping assigning to each n-tuple of elements of

Fuzzy Logic

• P of a domain of individuals D induces a permutation of the class of n-ary relations of elements of D, a permutation of the class of functions with n arguments with domain

Alfred Tarski