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Aristotle

George Grote

(_i. e._, undemonstrable) yet not necessary, is Opinion; it is not Science, nor is it Noûs or Intellect--the _principium_ of Science or scientific Cognition. Such beliefs are fluctuating, as we see every day; we all distinguish them from other beliefs, which we cannot conceive not to be true and which we call cognitions.[91] But may there not be Opinion and Cognition respecting the same matters? There may be (says Aristotle) in different men, or in the same man at different times; but not in the same man at the same time. There may also be, respecting the same matter, true opinion in one man's mind, and false opinion in the mind of another.[92] [Footnote 91: Analyt. Post. I. xxxiii. p. 88, b. 30-p. 89, a. 10.] [Footnote 92: Ibid. p. 89, a. 11-b. 6. That eclipse of the sun is caused by the interposition of the moon was to the astronomer Hipparchos scientific Cognition; for he saw that it _could not_ be otherwise. To the philosopher Epikurus it was Opinion; for he thought that it _might_ be otherwise (Themistius, p. 66, Spengel).] With some remarks upon Sagacity, or the power of divining a middle term in a time too short for reflection (as when the friendship of two men is on the instant referred to the fact of their having a common enemy), the present book is brought to a close.[93] [Footnote 93: Ibid. xxxiv. p. 89, b. 10-20.] CHAPTER VIII. ANALYTICA POSTERIORA II. Aristotle begins the Second Book of the Analytica Posteriora by an enumeration and classification of Problems or Questions suitable for investigation. The matters knowable by us may be distributed into four classes:-- [Greek: O(/ti]. [Greek: Dio/ti]. [Greek: Ei) e)/sti]. [Greek: Ti/ e)sti]. 1. Quod. 2. Cur. 3. An sit. 4. Quid sit. Under the first head come questions of Fact; under the second head, questions of Cause or Reason; under the third, questions of Existence; under the fourth, questions of Essence. Under the first head we enquire, Whether a fact or event is so or so? Whether a given subject possesses this or that attribute, or is in this or that condition? enumerating in the question the various supposable alternatives. Under the second head, we assume the first question to have been affirmatively answered, and we proceed to enquire, What is the cause or reason for such fact, or such conjunction of subject and attribute? Under the third head, we ask, Does a supposed subject exist? And if the answer be in the affirmative, we proceed to enquire, under the fourth head, What is the essence of the subject?[1] [Footnote 1: Analyt. Post. II. i. p. 89, b. 23, seq. Themistius observes, p. 67, Speng.: [Greek: zêtou=men ti/nun ê)\ peri\ a(plou= tino\s kai\ a)sunthe/tou, ê)\ peri\ sunthe/tou kai\ e)n prota/sei.] Themistius has here changed Aristotle's order, and placed the third and fourth heads before the first and second. Compare Schol. p. 240, b. 30; p. 241, a. 18. The Scholiast complains of the enigmatical style of Aristotle: [Greek: tê=| griphô/dei tou= r(êtou= e)paggeli/a] (p. 240, b. 25).] We have here two distinct pairs of _Quæsita_: Obviously the second head presupposes the first, and is consequent thereupon; while the fourth also presupposes the third. But it might seem a more suitable arrangement (as Themistius and other expositors have conceived) that the third and fourth heads should come first in the list, rather than the first and second; since the third and fourth are simpler, and come earlier in the order of philosophical exposition, while the first and second are more complicated, and cannot be expounded philosophically until after the philosophical exposition of the others. This is cleared up by adverting to the distinction, so often insisted on by Aristotle, between what is first in order of cognition relatively to us (_nobis notiora_), and what is first in order of cognition by nature (_naturâ notiora_). _To us_ (that is to men taken individually and in the course of actual growth) the phenomena of nature[2] present themselves as particulars confused and complicated in every way, with attributes essential and accidental implicated together: we gradually learn first to see and compare them as particulars, next to resolve them into generalities, bundles, classes, and partially to explain the _Why_ of some by means of others. Here we start from facts embodied in propositions, that include subjects clothed with their attributes. But in the _order of nature_ (that is, in the order followed by those who know the _scibile_ as a whole, and can expound it scientifically) that which comes first is the Universal or the simple Subject abstracted from its predicates or accompaniments: we have to enquire, first, whether a given subject exists; next, if it does exist, what is its real constituent essence or definition. We thus see the reason for the order in which Aristotle has arranged the two co-ordinate pairs of _Quæsita_ or Problems, conformable to the different processes pursued, on the one hand, by the common intellect, growing and untrained--on the other, by the mature or disciplined intellect, already competent for philosophical exposition and applying itself to new _incognita_. [Footnote 2: **Schol. Philopon. p. 241, a. 18-24: [Greek: tou/tôn to\ ei) e)/sti kai\ to\ ti/ e)stin ei)si\n a(pla=, to\ de\ o(/ti kai\ to\ dio/ti su/ntheta--pro/tera ga\r ê(mi=n kai\ gnôrimô/tera ta\ su/ntheta, ô(s tê=| phu/sei ta\ a(pla=.] Mr. Poste observes upon this quadruple classification by Aristotle (p. 96):--"The two last of these are problems of Inductive, but first principles of Deductive, Science; the one being the hypothesis, the other the definition. The **attribute as well as the subject must be defined (I. x.), so that to a certain degree the second problem also is assumed among the principles of Demonstration."] Comparing together these four _Quæsita_, it will appear that in the first and third (_Quod_ and _An_), we seek to find out whether there is or is not any middle term. In the second and fourth (_Cur_ and _Quid_), we already know or assume that there is a middle term; and we try to ascertain what that middle term is.[3] The enquiry _Cur_, is in the main analogous to the enquiry _Quid_; in both cases, we aim at ascertaining what the cause or middle term is. But, in the enquiry _Cur_, what we discover is perhaps some independent fact or event, which is the cause of the event _quæsitum_; while, in the enquiry _Quid_, what we seek is the real essence or definition of the substance--the fundamental, generating, immanent cause of its concomitant attributes. Sometimes, however, the _Quid_ and the _Cur_ are only different ways of stating the same thing. _E.g._, _Quid est eclipsis lunæ_? Answer: The essence of an eclipse is a privation of light from the moon, through intervention of the earth between her and the sun. _Cur locum habet eclipsis lunæ_? Answer: Because the light of the sun is prevented from reaching the moon by intervention of the earth. Here it is manifest that the answers to the enquiries _Quid_ and _Cur_ are really and in substance the same fact, only stated in different phrases.[4] [Footnote 3: Analyt. Post. II. i. p. 889, b. 37-p. 90, a. 7. [Greek: sumbai/nei a)/ra e)n a(pa/sais tai=s zêtê/sesi zêtei=n ê)\ ei) e)/sti me/son, ê)\ ti/ e)sti to\ me/son; to\ me\n ga\r ai)/tion to\ me/son, e)n a(/pasi de\ tou=to zêtei=tai.] Compare Schol. p. 241, b. 10, Br.] [Footnote 4: Analyt. Post. II. ii. p. 90, a. 14-23, 31: [Greek: to\ ti/ e)stin ei)de/nai tau)to/ e)sti kai\ dia\ ti/ e)stin.]] That the _quæsitum_ in all these researches is a middle term or medium, is plain from those cases wherein the medium is perceivable by sense; for then we neither require nor enter upon research. For example, if we were upon the moon, we should see the earth coming between us and the sun, now and in each particular case of eclipse. Accordingly, after many such observations, we should affirm the universal proposition, that such intervention of the earth was the cause of eclipses; the universal becoming known to us through induction of particular cases.[5] The middle term, the Cause, the _Quid_, and the _Cur_, are thus all the same enquiry, in substance; though sometimes such _quæsitum_ is the quiddity or essential nature of the thing itself (as the essence of a triangle is the cause or ground of its having its three angles equal to two right angles, as well as of its other properties), sometimes it is an extraneous fact.[6] [Footnote 5: Ibid. a. 24-30. [Greek: e)k ga\r tou= ai)sthe/sthai kai\ to\ katho/lou e)ge/neto a)\n ê(mi=n ei)de/nai; ê( me\n ga\r ai)/sthêsis o(/ti nu=n a)ntiphra/ttei; kai\ ga\r dê=lon o(/ti nu=n e)klei/pei; e)k de\ tou/tou to\ katho/lou a)\n e)ge/neto.] The purport and relation of this quadruple classification of problems is set forth still more clearly in the sixth book of the Metaphysica (Z. p. 1041) with the explanations of Bonitz, Comm. pp. 358, 359.] [Footnote 6: Analyt. Post. II. ii. p. 90, a. 31.] But how or by what process is this _quæsitum_ obtained and made clear? Is it by Demonstration or by Definition? What is Definition, and what matters admit of Definition?[7] Aristotle begins by treating the question dialectically; by setting out a series of doubts and difficulties. First, Is it possible that the same cognition, and in the same relation, can be obtained both by Definition and by Demonstration? No; it is not possible. It is plain that much that is known by Demonstration cannot be known by Definition; for we have seen that conclusions both particular and negative are established by Demonstration (in the Third and Second figures), while every Definition is universal and affirmative. But we may go farther and say, that even where a conclusion universal and affirmative is established (in the First figure) by Demonstration, that same conclusion can never be known by Definition; for if it could be known by Definition, it might have been known without Demonstration. Now we are assured, by an uncontradicted induction, that this is not the fact; for that which we know by Demonstration is either a proprium of the subject _per se_, or an accident or concomitant; but no Definition ever declares either the one or the other: it declares only the essence.[8] [Footnote 7: Ibid. iii. p. 90, a. 37: [Greek: ti/ e)stin o(rismo/s, kai\ ti/nôn, ei)/pômen, diaporê/santes prô=ton peri\ au)tô=n.]] [Footnote 8: Analyt. Post. II. iii. p. 90, b. 13: [Greek: i(kanê\ de\ pi/stis kai\ e)k tê=s e)pagôgê=s; ou)de\n ga\r pô/pote o(risa/menoi e)/gnômen, ou)/te tô=n kath' au(to\ u(parcho/ntôn ou)/te tô=n sumbebêko/tôn. e)/ti ei) o( o(rismo\s ou)si/as tis gnôrismo/s, ta\ ge toiau=ta phanero\n o(/ti ou)k ou)si/ai.]] Again, let us ask, _vice versâ_, Can everything that is declared by Definition, or indeed anything that is declared by Definition, be known also by Demonstration? Neither is this possible. One and the same _cognitum_ can be known only by one process of cognition. Definitions are the _principia_ from which Demonstration departs; and we have already shown that in going back upon demonstrations, we must stop somewhere, and must recognize some _principia_ undemonstrable.[9] The Definition can never be demonstrated, for it declares only the essence of the subject, and does not predicate anything concerning the subject; whereas Demonstration assumes the essence to be known, and deduces from such assumption an attribute distinct from the essence.[10] [Footnote 9: Ibid. b. 18-27.] [Footnote 10: Ibid. b. 33, seq.: [Greek: e)/ti pa=sa a)po/deixis ti\ kata/ tinos dei/knusin, oi(=on o(/ti e)/stin ê)\ ou)k e)/stin; e)n de\ tô=| o(rismô=| ou)de\n e(/teron e(te/rou katêgorei=tai, oi(=on ou)/te to\ zô=|on kata\ tou= di/podos ou)de\ tou=to kata\ tou=