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What does transitivity mean?

Looking for the meaning or definition of the word transitivity? Here's what it means.

Noun
  1. (grammar) The degree in which any one verb can take/govern objects.
  2. (mathematics) The property of being transitive.
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Examples
Some defenders of transitivity have replied that our intuitions about the intransitivity of causation in these examples are misleading.
There are many features of a relationship that could be ascertained in a measurement, such as symmetry, equality and transitivity.
To remove the redundancies on a set of FDs, it is necessary to eliminate the attributes which can be obtained using FDs transitivity.
You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.
Use concrete materials to demonstrate the principles of transitivity when ordering objects according to length and mass.
It is then possible to mathematically define some similarities, which are symmetrical, and have a kind of partial transitivity.

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