[Footnote 36: Aristot. Sophist. Elench. p. 184, a. 1, b. 2: [Greek:
dio/per tachei=a me\n a)/technos d' ê)=n ê( didaskali/a toi=s
mantha/nousi par' au)tô=n; ou) ga\r te/chnên a)lla\ ta\ a)po\ tê=s
te/chnês dido/ntes paideu/ein u(pela/mbanon . . . . _peri\ de\ tou=
sullogi/zesthai pantelô=s ou)de\n ei)/chomen pro/teron a)/llo
le/gein, a)ll' ê)\ tribê=| zêtou=ntes polu\n chro/non e)ponou=men_.]]
The preceding abridgment of Aristotle's exposition of the Syllogism
applies only to propositions simply affirmative or simply negative.
But Aristotle himself, as already remarked, complicates the
exposition by putting the Modal propositions (Possible, Necessary)
upon the same line as the above-mentioned Simple propositions. I have
noticed, in dealing with the treatise De Interpretatione, the
confusion that has arisen from thus elevating the Modals into a line
of classification co-ordinate with propositions simply Assertory. In
the Analytica, this confusion is still more sensibly felt, from the
introduction of syllogisms in which one of the premisses is
necessary, while the other is only possible. We may remark, however,
that, in the Analytica, Aristotle is stricter in defining the
Possible than he has been in the De Interpretatione; for he now
disjoins the Possible altogether from the Necessary, making it
equivalent to the Problematical (not merely _may be_, but _may be or
may not be_).[37] In the middle, too, of his diffuse exposition of
the Modals, he inserts one important remark, respecting universal
propositions generally, which belongs quite as much to the preceding
exposition about propositions simply assertory. He observes that
universal propositions have nothing to do with time, present, past,
or future; but are to be understood in a sense absolute and
unqualified.[38]
[Footnote 37: Analyt. Prior. I. viii. p. 29, a. 32; xiii. p. 32, a.
20-36: [Greek: to\ ga\r a)nagkai=on o(mônu/môs e)nde/chesthai
le/gomen]. In xiv. p. 33, b. 22, he excludes this equivocal meaning
of [Greek: to\ e)ndecho/menon--dei= de\ to\ e)nde/chestha lamba/nein
mê\ e)n toi=s a)nagkai/ois, a)lla\ kata\ to\n ei)rême/non
diorismo/n.] See xiii. p. 32, a. 33, where [Greek: to\ e)nde/chesthai
u(pa/rchein] is asserted to be equivalent to or convertible with
[Greek: to\ e)nde/chesthai mê\ u(pa/rchein]; and xix. p. 38, a. 35:
[Greek: to\ e)x a)na/gkês ou)k ê)=n _e)ndecho/menon_]. Theophrastus
and Eudemus differed from Aristotle about his theory of the Modals in
several points (Scholia ad Analyt. Priora, pp. 161, b. 30; 162, b.
23; 166, a. 12, b. 15, Brand.). Respecting the want of clearness in
Aristotle about [Greek: to\ e)ndecho/menon], see Waitz's note **ad p.
32, b. 16. Moreover, he sometimes uses [Greek: u(pa/rchon] in the
widest sense, including [Greek: e)ndecho/menon] and [Greek:
a)nagkai=on], xxiii. p. 40, b. 24.]
[Footnote 38: Analyt. Prior. I. xv. p. 34, b. 7.]
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