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transitive and intransitive verbs
English verbs are split into two major categories depending on how they function in a sentence: transitive and intransitive. Transitive verbs take one or more objects in a sentence, while intransitive verbs take no objects in a sentence.
Put simply, a transitive verb describes an action that is happening to something or someone, which is known as the verb’s direct object.
An intransitive verb, on the other hand, describes an action that does not happen to something or someone.
Logic Maths having the property that if one object bears a relationship to a second object that also bears the same relationship to a third object, then the first object bears this relationship to the third object
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
A relation R is transitive if x R y & y R z => x R z. Equivalence relations, pre-, partial and total orders are all transitive.
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