Some measurements of an object may be more important than others. If a medieval scholar asks how many angels can dance on the head of a pin, you’re unlikely to enquire about the length of the pin. (But enquiring about the size of the dance area, namely the head, would be reasonable.)
Some measurements distort under projection. A man at noon dwarfs his own shadow, but a man in a torchlit cave casts a giant on the wall. This happens because the shadow of an object depends on the object, the source of light, the surface catching the shadow, and their relative positions. Therefore, shadows hint at features of their owner without necessarily describing their owner’s essence.
Those in Plato’s cave cannot imagine the sun.
Similarly: silhouettes are contours from one viewpoint (a cylindrical candle is a rectangle when seen from the side, and a circle when seen from above); photographs show us the lens-facing side (a rectangle of wax and a flaming disc).
Projections are simplifications.
Shadows, silhouettes, photographs, x-rays, scans are projections of physical objects that a human mind grasps more easily than the objects themselves. In intellectual matters, we outline issues and give snapshots of complex situations. Further, a state of mind is the mind viewed within a slice of time—it’s a momentary projection of a more complex figure.
A current state of the mind is by definition “reasonable” or “comprehensible” to that mind, but taken over time, taken together, these projections of mind trace an incomprehensible figure consisting of various states (incomprehensible, in as much as we cannot remember all of it or recreate all of it or make sense of all of it).
But what if all projections over all time could be understood in their entirety? And not just those of mind, but more generally, those of man? Continue reading