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Finitary relation
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=== Nullary === {{Main article|Relation of degree zero}} Nullary (0-ary) relations count only two members: the empty nullary relation, which never holds, and the universal nullary relation, which always holds. This is because there is only one 0-tuple, the empty tuple (), and there are exactly two subsets of the (singleton) set of all 0-tuples. They are sometimes useful for constructing the base case of an [[Mathematical induction|induction]] argument.
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