Figure 12: Language faculty as two-way determination through a universal-Brain Functors: A mathematical model of intentional perception and action

<p>A brain functor, broadly put, is any universal mechanism of determination that can factor determination either way through a universal&ndash;rather than an adjunction that factors one way determination through two (receiving and sending) universals. In some contexts in the life sciences, determination is strictly one way so one might expect to find a semiadjunction but not a two-way system like a brain functor. An application of the scheme for a brain functor in the cognitive sciences is to model the language faculty where there is two way determination between vocal stimuli and internal representations. The previous semiadjunctions for language understanding and language action can be merged to arrive at the brain-like function of the language faculty.</p>