This paper suggests several summa genera for the various meanings of intentio in Aquinas and briefly outlines the genera of cognitive intentiones. It presents the referential and existential nature of intentions of harm or usefulness as distinguished from external sensory or imaginary forms in light of Avicenna’s threefold sensory abstraction. The paper offers a terminological clarification regarding the quasi-immaterial existential status of intentions. Internal sensory intentions account for a way in which one perceives something, as is best seen in light (...) of the distinction between formal and material objects. Against the imagist account of intentions that denies the memorative power an immanent object, it shows that the memorative’s proper and immediate object is the intention of the past, while its extrinsic mediate object is the imaginary phantasm. (shrink)