Ridling, Philosophy Then and Now: A Look Back at 26 Centuries of Thought
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in Book VII of The Republic. The allegory depicts ordinary people as living
locked in a cave, which represents the world of sense-experience; in the cave
people see only unreal objects, shadows, or images. But through a painful
process, which involves the rejection and overcoming of the familiar sensible
world, they begin an ascent out of the cave into reality; this process is the
analogue of the application of the dialectical method, which allows one to
apprehend unchanging objects and thus acquire knowledge. In the allegory,
this upward process, which not everyone is competent to engage in,
culminates in the direct vision of the sun, which represents the source of
knowledge.
In searching for unchanging objects, Plato begins his quest by pointing
out that every faculty in the human mind apprehends a set of unique objects:
hearing apprehends sounds but not odours; the sense of smell apprehends
odours but not visual images; and so forth. Knowing is also a mental faculty,
and therefore there must be objects that it apprehends. These have to be
unchanging, whatever they are. Plato’s discovery is that there are such
entities. Roughly, they are the items denoted by predicate terms in language:
such words as “good,” “white,” or “triangle.” To say “This is a triangle” is to
attribute a certain property, that of being a triangle, to a certain spatiotemporal
object, such as a particular figure drawn on a blackboard. Plato is here
distinguishing between specific triangles that can be drawn, sketched, or
painted and the common property they share, that of being triangular. Objects
of the former kind he calls particulars. They are always located somewhere in
the space-time order, that is, in the world of appearance. But such particular
things are different from the common property they share. That is, if x is a
triangle, and y is a triangle, and z is a triangle, x, y, and z are particulars that
share a common property, triangularity. That common property is what Plato