Is not the term 'separated from matter' here used in two senses -- (a) of a logical separation by abstraction, logô; (b) of a real separation in nature, phusei? A tendency of Scholasticism, inherited from Neo-Platonism, was to think of Spirit as personified Idea or Form. The eidos took life and became daimôn. Aristotle's saying means that the universal, as such, exists only in mind. But the departed soul of a bear, if it be at all, is not a universal.
Of God and His Creatures: 2.82