This method of procedure is alike applicable to demonstration in
Philosophy or in any of the special sciences,[63] and to debate in
Dialectic. In both, the premisses or _principia_ of syllogisms must
be put together in the same manner, in order to make the syllogism
valid. In both, too, the range of topics falling under examination is
large and varied; each topic will have its own separate premisses or
_principia_, which must be searched out and selected in the way above
described. Experience alone can furnish these _principia_, in each
separate branch or department. Astronomical experience--the observed
facts and phenomena of astronomy--have furnished the data for the
scientific and demonstrative treatment of astronomy. The like with
every other branch of science or art.[64] When the facts in each
branch are brought together, it will be the province of the logician
or analytical philosopher to set out the demonstrations in a manner
clear and fit for use. For if nothing in the way of true matter of
fact has been omitted from our observation, we shall be able to
discover and unfold the demonstration, on every point where
demonstration is possible; and, wherever it is not possible, to make
the impossibility manifest.[65]
[Footnote 63: Ibid. p. 46, a. 8**: [Greek: kata\ me\n a)lê/theian e)k
tô=n kat' a)lê/theian _diagegramme/nôn_ u(pa/rchein, ei)s de\ tou\s
dialektikou\s sullogismou\s e)k tô=n kata\ do/xan prota/seôn.]
Julius Pacius (p. 257) remarks upon the word [Greek: diagegramme/nôn]
as indicating that Aristotle, while alluding to special sciences
distinguishable from philosophy on one side, and from dialectic on
the other, had in view geometrical demonstrations.]
[Footnote 64: Analyt. Prior. I. xxx. p. 46, a. 10-20**: [Greek: ai(
d' a)rchai\ tô=n sullogismô=n katho/lou me\n ei)/rêntai--i)/diai de\
kath' e(ka/stên ai( plei=stai. dio\ ta\s me\n a)rcha\s ta\s peri\
e(/kaston e)mpeiri/as e)/sti paradou=nai. le/gô d' oi(=on tê\n
a)strologikê\n me\n e)mpeiri/an tê=s a)strologikê=s e)pistê/mês;
lêphthe/ntôn ga\r i(kanô=s tô=n phainome/nôn ou(/tôs eu(re/thêsan ai(
a)strologikai\ a)podei/xeis. o(moi/ôs de\ kai\ peri\ a)/llên
o(poianou=n e)/chei te/chnên te kai\ e)pistê/mên.]
What Aristotle says here--of astronomical observation and experience
as furnishing the basis for astronomical science--stands in marked
contrast with Plato, who rejects this basis, and puts aside, with a
sort of contempt, astronomical observation (Republic, vii. pp.
530-531); treating acoustics also in a similar way. Compare Aristot.
Metaphys. [Greek: L]. p. 1073, a. 6, seq., with the commentary of
Bonitz, p. 506.]
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