take for granted or as a given; suppose beforehand; "I presuppose that you have done your work"

require as a necessary antecedent or precondition; "This step presupposes two prior ones"

To represent to one's self, or state to another, not as true or real, but as if so, and with a view to some consequence or application which the reality would involve or admit of; to imagine or admit to exist, for the sake of argument or illustration; to assume to be true; as, let us suppose the earth to be the center of the system, what would be the result?

To imagine; to believe; to receive as true.

To require to exist or to be true; to imply by the laws of thought or of nature; as, purpose supposes foresight.

ASL Browser

To put by fraud in the place of another.