Closed-world assumption, the presumption that a statement that is true is also known to be true, and a statement not known to be true is false
Open-world assumption, assumption that the truth value of a statement may be true irrespective of whether or not it is known to be true
Tacit assumption, belief applied in developing a logical argument or decision that is not explicitly voiced nor necessarily understood by the decision maker
Presupposition, a tacit assumption about the world or background belief relating to an utterance
Unique name assumption, in logics where different names always refer to different entities in the world
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