Amidst all these diversities, Dialectic and Demonstrative Science
have in common the process of Syllogism, including such assumptions
as the rules of syllogizing postulate. In both, the conclusions are
hypothetically true (_i.e._ granting the premisses to be so). But, in
demonstrative syllogism, the conclusions are true universally,
absolutely, and necessarily; deriving this character from their
premisses, which Aristotle holds up as the cause, reason, or
condition of the conclusion. What he means by Demonstrative Science,
we may best conceive, by taking it as a small [Greek: te/menos] or
specially cultivated enclosure, subdivided into still smaller
separate compartments--the extreme antithesis to the vast common land
of Dialectic. Between the two lies a large region, neither
essentially determinate like the one, nor essentially indeterminate
like the other; an intermediate region in which are comprehended the
subjects of the treatises forming the very miscellaneous Encyclopædia
of Aristotle. These subjects do not admit of being handled with equal
exactness; accordingly, he admonishes us that it is important to know
how much exactness is attainable in each, and not to aspire to
more.[7]
[Footnote 7: Aristot. Ethic. Nikom. I. p. 1094, b. 12-25; p. 1098, a.
26-b. 8; Metaphys. A. p. 995, a. 15; Ethic. Eudem. I. p. 1216, b.
30-p. 1217, a. 17; Politic. VII. p. 1328, a. 19; Meteorolog. I. p. 338,
a. 35. Compare Analyt. Post. I. xiii. p. 78, b. 32 (with Waitz's
note, II. p. 335); and I. xxvii. p. 87, a. 31.
The passages above named in the Nikomachean Ethica are remarkable:
[Greek: le/goito d' a)\n i(kanô=s, ei) kata\ tê\n u(pokeime/nên
u(/lên diasaphêthei/ê; to\ ga\r a)kribe\s ou)ch o(moi/ôs e)n a(/pasi
toi=s lo/gois e)pizêtête/on, ô(/sper ou)d' e)n toi=s
dêmiourgoume/nois. tê\n a)kri/beian mê\ o(moi/ôs e)n a(/pasin
e)pizêtei=n (chrê/), a)ll' e)n e(ka/stois kata\ tê\n u(pokeime/nên
u(/lên, kai\ e)pi\ tosou=ton e)ph' o(/son oi)kei=on tê=| methodô=|.]
Compare Metaphys. E. p. 1025, b. 13: [Greek: a)podeiknu/ousin ê)\
a)nagkai/oteron ê)\ malakô/teron.]
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