The only exceptions to this rule are such cases as theorems in
harmonics which are demonstrable by arithmetic. Such theorems are
proved by the same middle terms as arithmetical properties, but with a
qualification-the fact falls under a separate science (for the subject
genus is separate), but the reasoned fact concerns the superior
science, to which the attributes essentially belong. Thus, even
these apparent exceptions show that no attribute is strictly
demonstrable except from its 'appropriate' basic truths, which,
however, in the case of these sciences have the requisite identity
of character.
It is no less evident that the peculiar basic truths of each
inhering attribute are indemonstrable; for basic truths from which
they might be deduced would be basic truths of all that is, and the
science to which they belonged would possess universal sovereignty.
This is so because he knows better whose knowledge is deduced from
higher causes, for his knowledge is from prior premisses when it
derives from causes themselves uncaused: hence, if he knows better
than others or best of all, his knowledge would be science in a higher
or the highest degree.
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