There cannot be demonstrative cognition of fortuitous events,[84] for
all demonstration is either of the necessary or of the customary. Nor
can there be demonstrative cognition through sensible perception. For
though by sense we perceive a thing as such and such (through its
sensible qualities), yet we perceive it inevitably as _hoc aliquid_,
_hic_, _et nunc_. But the Universal cannot be perceived by sense; for
it is neither _hic_ nor _nunc_, but _semper et ubique_.[85] Now
demonstrations are all accomplished by means of the Universal, and
demonstrative cognition cannot therefore be had through sensible
perception. If the equality of the three angles of a triangle to two
right angles were a fact directly perceivable by sense, we should
still have looked out for a demonstration thereof: we should have no
proper scientific cognition of it (though some persons contend for
this): for sensible perception gives us only particular cases, and
Cognition or Science proper comes only through knowing the
Universal.[86] If, being on the surface of the moon, we had on any
one occasion seen the earth between us and the sun, we could not have
known from that single observation that such interposition is the
cause universally of eclipses. We cannot directly by sense perceive
the Universal, though sense is the _principium_ of the Universal. By
multiplied observation of sensible particulars, we can hunt out and
elicit the Universal, enunciate it clearly and separately, and make
it serve for demonstration.[87] The Universal is precious, because it
reveals the Cause or [Greek: dio/ti], and is therefore more precious,
not merely than sensible observation, but also than intellectual
conception of the [Greek: o(/ti] only, where the Cause or [Greek:
dio/ti] lies apart, and is derived from a higher genus. Respecting
First Principles or _Summa Genera_, we must speak elsewhere.[88] It
is clear, therefore, that no demonstrable matter can be known,
properly speaking, from direct perception of sense; though there are
cases in which nothing but the impossibility of direct observation
drives us upon seeking for demonstration. Whenever we can get an
adequate number of sensible observations, we can generalize the fact;
and in some instances we may perhaps not seek for any demonstrative
knowledge (_i.e._ to explain it by any higher principle). If we could
see the pores in glass and the light passing through them, we should
learn through many such observations why combustion arises on the
farther side of the glass; each of our observations would have been
separate and individual, but we should by intellect generalize the
result that all the cases fall under the same law.[89]
[Footnote 84: Analyt. Post. I. xxx. p. 87, b. 19-27.]
[Footnote 85: Ibid. xxxi. p. 87, b. 28: [Greek: ei) ga\r kai\ e)/stin
ê( ai)/sthêsis tou= toiou=de kai\ mê\ tou=de/ tinos, a)ll'
ai)stha/nesthai/ ge a)nagkai=on to/de ti kai\ pou= kai\ nu=n.]]
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