- jective idealism, that matter is effete mind, inveterate habits
becoming physical laws. But before this can be accepted it must show itself capable of explaining the tridimensionality of space, the laws of motion, and the general characteristics of the universe, with mathematical clearness and precision; for no less should be demanded of every Philosophy.
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Modern mathematics is replete with ideas which may be
applied to philosophy. I can only notice one or two. The
manner in which mathematicians generalize is very instructive.
Thus, painters are accustomed to think of a picture
as consisting geometrically of the intersections of its plane
by rays of light from the natural objects to the eye. But
geometers use a generalized perspective.[1] For instance
in the figure let O be the eye, let A B C D E be the edge-*]
- ↑ [The reader will find further light on the following illustration in any text-book of projective geometry, e.g., Reye, Geometry of Position, I, pp. 17-24, or Encyc. Britannica, XI, p. 689.
