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Primary Meanings of transitivity. n (logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third.
1 : characterized by having or containing a direct object a transitive verb. 2 : being or relating to a relation with the property that if the relation holds between a first element and a second and between the second element and a third, it holds between the first and third elements equality is a transitive relation.