ABSTRACT

Turing Machine (TM) provides a computational description without any reference to physical composition. The right problem’s solution must be grounded in the physical conjunction of illumination, surface geometry, surface reflection, and vantage point. TM bears on Descartes trialism, particularly the thesis implicit in H. Helmholtz’s unconscious inference that the third grade of sense could be understood as computational states. Within the field of computational vision, the analogy between shape perception and language perception has a long history. The starting point is the notion of formal mathematical system adverted to earlier. Such a system, with designation, is a collection of abstract symbols together with a grammar, that is, a set of rules that identify how strings of symbols can be combined to generate new strings of symbols. Adopting a word perspective facilitates appreciation that representation bearers exhibit the properties of compositionality, productivity, and systematicity.