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In the Republic,1 he supposes the universe, as one line, to be cut into two unequal sections; again he cuts each of these sections in two after the same proportion, and supposes the two sections first made to constitute the two genera of things sensible and things intelligible in the universe. The first represents the genus of intelligibles, comprehending in the first subdivision the primitive forms or ideas, in the second the mathematics. Of sensibles, the first subdivision comprehends solid bodies, the second comprehends the images and representations of them. Moreover, to every one of these four he has assigned its proper judicatory faculty;—to the first, reason; to the mathematics, the understanding; to sensibles, belief; to images and likenesses, conjecture.

BUT WHAT DOES HE MEAN BY DIVIDING THE UNIVERSE INTO UN EQUAL PARTS? AND WHICH OF THE SECTIONS, THE INTELLIGIBLE OR THE SENSIBLE, IS THE GREATER? FOR IN THIS HE HAS NOT EXPLAINED HIMSELF.

1 Republic, VI. pp. 509 D-511 E.

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