From this it follows that universals are more demonstrable: but
since relative and correlative increase concomitantly, of the more
demonstrable there will be fuller demonstration. Hence the
commensurate and universal form, being more truly demonstration, is
the superior.
(7) Demonstration which teaches two things is preferable to
demonstration which teaches only one. He who possesses
commensurately universal demonstration knows the particular as well,
but he who possesses particular demonstration does not know the
universal. So that this is an additional reason for preferring
commensurately universal demonstration. And there is yet this
further argument:
(8) Proof becomes more and more proof of the commensurate
universal as its middle term approaches nearer to the basic truth, and
nothing is so near as the immediate premiss which is itself the
basic truth. If, then, proof from the basic truth is more accurate
than proof not so derived, demonstration which depends more closely on
it is more accurate than demonstration which is less closely
dependent. But commensurately universal demonstration is characterized
by this closer dependence, and is therefore superior.
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