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Aristotle

George Grote

definitions, when we have once discovered what is the same in all particular cases, we shall have ascertained to what genus the subject before us belongs;[73] for that one of the common predicates which is most of the essence, will be the genus. Even where the two matters compared are more disparate than we can rank in the same genus, the knowledge of resemblances will enable us to discover useful analogies, and thus to obtain a definition at least approximative. Thus, as the point is in a line, so is the unit in numbers; each of them is a _principium_; this, therefore, is a common genus, which will serve as a tolerable definition. Indeed this is the definition of them commonly given by philosophers; who call the unit _principium_ of number, and the point _principium_ of a line, thus putting one and the other into a genus common to both.[74] [Footnote 71: Ibid. b. 9.] [Footnote 72: Ibid. b. 12: [Greek: pro\s de\ tou\s e)x u(pothe/seôs sullogsismou/s, _dio/ti e)/ndoxo/n e)stin_, ô(/s pote e)ph' e(no\s tô=n o(moi/ôn e)/chei, ou(/tôs kai\ e)i\ tô=n loipô=n; ô(/ste pro\s o(/ ti a)\n au)tô=n eu)porô=men diale/gesthai, _prodiomologêso/metha_, ô(/s pote e)pi\ tou/tôn e)/chei, ou(/tô kai\ e)pi\ tou= prokeime/nou e)/chein. dei/xantes de\ e)kei=no kai\ **to\ prokei/menon _e)x u(pothe/seôs dedeicho/tes e)so/metha; u(pothe/menoi_ ga/r, ô(/s pote e)pi\ tou/tôn e)/chei, ou(/tô kai\ e)pi\ tou= prokeime/nou e)/chein, tê\n a)po/deixin pepoiê/metha.] For [Greek: to\ e)x u(pothe/seôs], compare Topic. III. vi. p. 119, b. 35.] [Footnote 73: Topic. I. xviii. p. 108, b. 19.] [Footnote 74: Topic. I. xviii. p. 108, b. 27: [Greek: ô(/ste to\ koino\n e)pi\ pa/ntôn ge/nos a)podi/dontes _do/xomen ou)k a)llotri/ôs o(ri/zesthai_.] It will be recollected that all the work of Dialectic (as Aristotle tells us often) has reference to [Greek: do/xa] and not to scientific truth. "We shall _seem to define_ not in a manner departing from the reality of the subject" is, therefore, an appropriate dialectic artifice.] II. The First Book of the Topica, which we have thus gone through, was entitled by some ancient commentators [Greek: ta\ pro\ tô=n To/pôn]--matters preliminary to the _Loci_. This is quite true, as a description of its contents; for Aristotle in the last words of the book, distinctly announces that he is about to enumerate the _Loci_ towards which the four above-mentioned _Organa_ will be useful.[75] [Footnote 75: Ibid. p. 108, b. 32: [Greek: oi( de\ to/poi pro\s ou(\s chrê/sima ta\ lechthe/nta oi(/de ei)si/n.]] _Locus_ ([Greek: to/pos]) is a place in which many arguments pertinent to one and the same dialectical purpose, may be found-- _sedes argumentorum_. In each _locus_, the arguments contained therein look at the thesis from the same point of view; and the _locus_ implies nothing distinct from the arguments, except this manner of view common to them all. In fact, the metaphor is a convenient one for designating the relation of every Universal generally to its particulars: the Universal is not a new particular, nor any adjunct superimposed upon all its particulars, but simply a _place_ in which all known similar particulars may be found grouped together, and in which there is room for an indefinite number of new ones. If we wish to arm the student with a large command of dialectical artifices, we cannot do better than discriminate the various groups of arguments, indicating the point of view common to each group, and the circumstances in which it becomes applicable. By this means, whenever he is called upon to deal with a new debate, he will consider the thesis in reference to each one of these different _loci_, and will be able to apply arguments out of each of them, according as the case may admit. The four _Helps_ ([Greek: o)/rgana]) explained in the last book differ from the _Loci_ in being of wider and more undefined bearing: they are directions for preparatory study, rather than for dealing with any particular situation of a given problem; though it must be confessed that, when Aristotle proceeds to specify the manner in which the three last-mentioned helps are useful, he makes considerable approach towards the greater detail and particularization of the _Loci_. In entering now upon these, he reverts to that quadruple classification of propositions and problems (according to the four Predicables), noted at the beginning of the treatise, in which the predicate is either Definition, Proprium, Genus, or Accident, of the subject. He makes a fourfold distribution of _Loci_, according as they bear upon one or other of these four. In the Second and Third Books, we find those which bear upon propositions predicating Accident; in the Fourth Book, we pass to Genus; in the Fifth, to Proprium; in the Sixth and Seventh, to Definition. The problem or thesis propounded for debate may have two faults on which it may be impugned: either it may be untrue; or it may be expressed in a way departing from the received phraseology.[76] It will be universal, or particular, or indefinite; and either affirmative or negative; but, in most cases, the respondent propounds for debate an affirmative universal, and not a negative or a particular.[77] Aristotle therefore begins with those _loci_ that are useful for refuting an Affirmative Universal; though, in general, the same arguments are available for attack and defence both of the universal and of the particular; for if you can overthrow the particular, you will have overthrown the universal along with it, while if you can defend the universal, this will include the defence of the particular. As the thesis propounded is usually affirmative, the assailant undertakes the negative side or the work of refutation. And this indeed (as Eudemus, the pupil of Aristotle, remarked, after his master[78]) is the principal function and result of dialectic exercise; which refutes much and proves very little, according to the analogy of the Platonic Dialogues of Search. [Footnote 76: Topic. II. i. p. 109, a. 27: [Greek: diori/sasthai de\ dei= kai\ ta\s a(marti/as ta\s e)n toi=s problê/masin, o(/ti ei)si\ dittai/, ê)\ tô=| pseu/desthai, ê)\ tô=| parabai/nein tê\n keime/nên le/xin.] Alexander remarks (Schol. p. 264, b. 23, Br.) that [Greek: pro/blêma] here means, not the interrogation, but [Greek: to\ ô(risme/non ê)/dê kai\ kei/menon--ou(= proi+/statai/ tis, o(/n o( dialektiko\s e)le/gchein e)picheirei=].] [Footnote 77: Topic. II. i. p. 109, a. 8: [Greek: dia\ to\ ma=llon ta\s the/seis komi/zein e)n tô=| u(pa/rchein ê)\ mê/, tou\s de\ dialegome/nous a)naskeua/zein.]] [Footnote 78: Alexander ap. Schol. p. 264, a. 27, Br.: [Greek: o(/ti de\ oi)keio/teron tô=| dialektikô=| to\ a)naskeua/zein tou= kataskeua/zein, e)n tô=| prô/tô| tô=n e)pigraphome/nôn Eu)dêmei/ôn A)nalutikô=n (e)pigra/phetai de\ au)to\ kai\ Eu)dê/mou u(pe\r tô=n A)nalutikô=n) ou(/tôs le/getai, o(/ti o( dialektiko\s a(\ me\n kataskeua/zei mikra/ e)sti, to\ de\ polu\ tê=s duna/meôs au)tou= pro\s to\ a)nairei=n ti e)sti/n.]] Aristotle takes the four heads--Accident, Genus, Proprium, and Definition, in the order here enumerated. The thesis of which the predicate is enunciated as Accident, affirms the least, is easiest to defend, and hardest to upset.[79] When we enunciate Genus or Proprium, we affirm, not merely that the predicate belongs to the subject (which is all that is affirmed in the case of Accident), but, also something more--that it belongs to the subject in a certain manner and relation. And when we enunciate Definition, we affirm all this and something reaching yet farther--that it declares the whole essence of the _definitum_, and is convertible therewith. Accordingly, the thesis of Definition, affirming as it does so very much, presents the most points of attack and is by far the hardest to defend.[80] Next in point of difficulty, for the respondent, comes the Proprium. [Footnote 79: Topic. VII. v. p. 155, a. 27: [Greek: r(a=|ston de\ pa/ntôn kataskeua/sai to\ sumbebêko/s--a)naskeua/zein de\ chalepô/taton to\ sumbebêko/s, o(/ti e)la/chista e)n au)tô=| de/dotai; ou) ga\r prossêmai/nei e)n tô=| sumbebêko/ti pô=s u(pa/rchei, ô(/st' e)pi\ me\n tô=n a)/llôn dichô=s e)/stin a)nelei=n, ê)\ dei/xanta o(/ti ou)ch u(pa/rchei ê)\ o(/ti ou)ch ou(/tôs u(parchei, e)pi\ de\ tou= sumbebêko/tos ou)k e)/stin a)nelei=n a)ll' ê)\ dei/xanta o(/ti ou)ch u(pa/rchei.]] [Footnote 80: Topic. VII. v. p. 155, a. 3. [Greek: pa/ntôn r(a=|ston o(/ron a)naskeua/sai; plei=sta ga\r e)n au)tô=| ta\ dedome/na pollô=n ei)rême/nôn.] a. 23: [Greek: tô=n d' a)/llôn to\ i)/dion ma/lista toiou=ton.]] Beginning thus with the thesis enunciating Accident, Aristotle enumerates no less than thirty-seven distinct _loci_ or argumentative points of view bearing upon it. Most of them suggest modes of assailing the thesis; but there are also occasionally intimations to the respondent how he may best defend himself. In this numerous list there are indeed some items repetitions of each other, or at least not easily distinguishable.[81] As it would be tedious to enumerate them all, I shall select some of the most marked and illustrative. [Footnote 81: Aristotle himself admits the repetition in some cases, Topic. II. ii. p. 110, a. 12: the fourth _locus_ is identical substantially with the second _locus_. Theophrastus distinguished [Greek: para/ggelma] as the general precept, from [Greek: to/pos] or _locus_, as any proposition specially applying the precept to a particular case (Schol. p. 264, b. 38).] 1. The respondent has enunciated a certain predicate as belonging in the way of accident, to a given subject. Perhaps it may belong to the subject; yet not as accident, but under some one of the other three Predicables. Perhaps he may have enunciated (either by explicit discrimination, or at least by implication contained in his phraseology) the genus as if it were an accident,--an error not unfrequently committed.[82] Thus, if he has said, To be a colour is an accident of white, he has affirmed explicitly the genus as if it were an accident. And he has affirmed the same by implication, if he has said, White (or whiteness) is coloured. For this is a form of words not proper for the affirmation of a genus respecting its species, in which case the genus itself ought to stand as a literal predicate (White is a colour), and not to be replaced by one of its derivatives (White is coloured). Nor can the proposition be intended to be taken as affirming either proprium or definition; for in both these the predicate would reciprocate and be co-extensive with the subject, whereas in the present case there are obviously many other subjects of which it may be predicated that they are coloured.[83] In saying, White is coloured, the respondent cannot mean to affirm either genus, proprium, or definition; therefore he must mean to affirm _accident_. The assailant will show that this is erroneous. [Footnote 82: Topic. II. ii. p. 109, a. 34: [Greek: ei(=s me\n dê\ to/pos to\ e)pible/pein ei) to\ kat' a)/llon tina\ tro/pon u(pa/rchon ô(s sumbebêko\s a)pode/dôken. a(marta/netai de\ ma/lista tou=to peri\ ta\ ge/nê, oi(=on ei)/ tis tô=| leukô=| phai/ê sumbebêke/nai chrô/mati ei)=nai; ou) ga\r sumbe/bêke tô=| leukô=| chrô/mati ei)=nai, a)lla\ ge/nos au)tou= to\ chrô=ma/ e)stin.]] [Footnote 83: We may find cases in which Aristotle has not been careful to maintain the strict logical sense of [Greek: sumbebêko/s] or [Greek: sumbe/bêken] where he applies these terms to Genus or Proprium: _e.g._ Topic. II. iii. p. 110, b. 24; Soph. El. vi. p. 168, b. 1.] 2. Suppose the thesis set up by the respondent to be an universal affirmative, or an universal negative. You (the interrogator or assailant) should review the particulars contained under these