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Aristotle

George Grote

29. If the definiend be a something really existent, the definition given of it ought not to be a proposition declaring an incompatible combination, such as neither does nor can exist. Some, for example, define white--colour mingled with fire; which is incompatible, since that which is incorporeal (colour) cannot be mingled with a body (fire).[324] [Footnote 324: Topic. VI. xii. p. 149, a. 38-b. 3.] 30. Again, suppose the definiend to be a _Relatum_: the correlate thereof must of course be declared in the definition. Care, however, must be taken that it shall be declared, not in vague generality but, distinctly and with proper specialization; otherwise, the definition will be incorrect either entirely or partially. Thus, if the respondent defines medicine--the science of the really existent, he is incorrect either wholly or partially. The _relatum_ ought to reciprocate or to be co-extensive with its correlate.[325] When the correlate, however, is properly specialized in the definition, it may be declared under several different descriptions; for the same real thing may be at once _ens_, _album_, _bonum_. None of these descriptions will be incorrect. Yet, if the correlate is thus described in the definition of a _relatum_, the definition cannot be considered good or sufficient. For it applies to more things besides the definiend; and a good definition ought to reciprocate or to be co-extensive with its definiend.[326] [Footnote 325: Ibid. b. 4, seq.: [Greek: e)/ti o(/soi mê\ diairou=sin e)n toi=s pro/s ti pro\s o(\ le/getai, a)ll' e)n plei/osi perilabo/ntes ei)=pan, ê)\ o(/lôs ê)\ e)pi/ ti pseu/dontai, oi(=on ei)/ tis tê\n i)atrikê\n e)pistê/mên o)/ntos ei)=pen--o(moi/ôs de\ kai\ e)pi\ tô=n a)/llôn, e)peidê\ a)ntistre/phei pa/nta ta\ pro/s ti.]] [Footnote 326: Ibid. b. 12-23. [Greek: e)/ti d' a)du/naton to\n toiou=ton lo/gon i)/dion tou= a)podothe/ntos ei)=nai;--dê=lon ou)=n o(/ti o( toiou=tos ou)demia=s e)sti\n e)pistê/mês o(rismo/s; i)/dion ga\r kai\ ou) koino\n dei= to\n o(rismo\n ei)=nai.]] 31. Another mistake in defining is committed, when a man defines, not the subject purely and simply but, the subject in a high measure of excellence. Sometimes the rhetor (_e.g._) is defined--one who can perceive and produce without omission all that there is plausible in any cause; the thief is defined--one who takes away secretly what belongs to another. But these are the definitions, not of a rhetor and a thief generally but, of a skilful rhetor and skilful thief. The thief is one who is bent on taking away secretly, not one who _does_ take away secretly.[327] [Footnote 327: Ibid. b. 24-30. [Greek: ou) ga\r o( la/thra| lamba/nôn, a)ll' o( boulo/menos la/thra| lamba/nein, kle/ptês e)sti/n.]] 32. Again, another error consists in defining what is desirable in itself and on its own account, as if it were desirable as a means towards some other end--as productive or preservative thereof. For example, if a man defines justice--that which is preservative of the laws; or wisdom--that which is productive of happiness, he presents them as if they were desirable, not for themselves but, with reference to something different from themselves. This is a mistake; and it is not less a mistake, though very possibly the same subject may be desirable both for itself and for the sake of something else. For the definition ought to enunciate what is best in the definiend; and the best of everything resides most in its essence, not in what it is relatively to something else. It is better to be desirable _per se_, than _alterius causâ_.[328] [Footnote 328: Topic. VI. xii. p. 149, b. 31-39. [Greek: e(ka/stou ga\r to\ be/ltiston e)n tê=| ou)si/a| ma/lista, be/ltion de\ to\ di' au(to\ ai(reto\n ei)=nai tou= di' e(/teron, ô(/ste tou=to kai\ to\n o(rismo\n e)/dei ma=llon sêmai/nein.]] 33. Perhaps the definition tendered may be a complex proposition, enunciating two terms either jointly or severally, in one or other of three combinations. Either the definiend is A and B; or it is that which springs out of A and B; or it is A with B.[329] In each of these three cases you may find arguments for impugning the definition. [Footnote 329: Ibid. xiii. p. 150, a. 1-4: [Greek: skopei=n de\ kai\ ei)/ tinos o(rismo\n a)podidou\s ta/de, ê)\ to\ e)k tou/tôn, ê)\ to/de meta\ tou=de ô(ri/sato.]] _a._ Thus, take the first of the three. Suppose the respondent to define justice by saying, It is temperance and courage. You may urge against him, that two men, one of whom is temperate without being courageous, while the other is courageous without being temperate, will be just together, though neither of them separately is just; nay, that each of them separately (the one being temperate and cowardly, the other courageous and intemperate), will be both just and unjust; since, if justice is temperance and courage, injustice will be intemperance and cowardice.[330] The definer is open to the farther objection that he treats enumeration of parts as identical with the whole; as if he defined a house--bricks and mortar, forgetting the peculiar mode of putting them together. Bricks and mortar may exist, and yet there may be no house.[331] [Footnote 330: Ibid. a. 4-14.] [Footnote 331: Ibid. a. 15-21. [Greek: dê=lon ga\r o(/ti tô=n merô=n o)/ntôn ou)de\n kôlu/ei to\ o(/lon mê\ ei)=nai; ô(/ste ou) tau)to\n ta\ me/rê tô=| o(/lô|.]] _b._ Next, suppose the definition to declare, that the definiend is that which springs from A and B--is a result or compound of A and B. You will then examine whether A and B are such as to yield any result; for some couples (as a line and a number) yield no result. Or, perhaps, the definiend may by its own nature inhere in some first subject, while A and B do not inhere in any one first subject, but one in the other; in which case the definition is assailable.[332] Or, even granting that it is the nature of A and B to inhere in the same first subject, you may find that that first subject is not the same as the one in which the definiend inheres. Now the whole cannot thus inhere in one, and the parts in another: you will here have a good objection. Or, perhaps, it may appear that, if the whole be destroyed, the parts will be destroyed also; which ought not to be, but the reverse; for, when the parts are destroyed, the whole must necessarily vanish. Or, perhaps, the definiend may be good or bad, while the parts of the definition (A and B) are neither one nor the other. (Yet this last is not a conclusive objection; for it will sometimes happen in compound medicines that each of the ingredients is good, while they are bad if given in conjunction.)[333] Or, perhaps, the whole may bear the same name as one of its parts: this, also, will render the definition impeachable. Still more will it be impeachable, if it enunciates simply a result or compound of A and B, without specifying the manner of composition; it ought to declare not merely the parts of the compound, but also the way in which they are put together to form the compound.[334] [Footnote 332: Ibid. a. 22-30. [Greek: e)/ti ei) to\ me\n ô(risme/non e)n e(ni/ tini pe/phuke tô=| prô/tô| gi/nesthai, e)x ô(=n d' e)/phêsen au)to\ ei)=nai, mê\ e)n e(ni/ tini tô=| prô/tô|, all' e(ka/teron e)n e(kate/rô|.]] [Footnote 333: Topic. VI. xiii. p. 150, a. 30-b. 13.] [Footnote 334: Ibid. b. 14-26. [Greek: e)/ti ei) mê\ ei)/rêke to\n tro/pon tê=s sunthe/seôs;] &c.] _c._ Lastly, suppose the definition to declare that the definiend is A along with B. You will note, first, that this third head must be identical either with the first or with the second (_e.g._, honey _with_ water means either honey and water, or the compound of honey with water); it will therefore be open to impeachment on one or other of the above-named grounds of objection, according as the respondent may admit.[335] You may also distinguish all the different senses in which one thing may be said to be _with_ another (_e.g._, when the two are in the same recipient, justice and courage together in the soul; or in the same place; or in the same time), and you may be able to show that in none of these senses can the two parts of the definition be truly said to be one along with the other.[336] Or, if it be true that these two parts are co-existent in time, you may enquire whether they are not affirmed with relation to different correlates. _E.g._, The definition of courage may be tendered thus: Courage is daring along with right intelligence; upon which you may remark that daring may have reference to an act of spoliation, and that right intelligence may have reference to the preservation of health. Now a man who has both daring and right intelligence in _these_ senses, cannot be termed courageous, and thus you will have an argument against the definition. And, even if they be affirmed with reference to the same correlate (_e.g._, the duties of a physician), a man who has both daring and right intelligence in reference to these duties will hardly be styled courageous; the term courage must be so defined as to have reference to its appropriate end; _e.g._, the dangers of war, or any still more public-spirited end.[337] Another mistake may, perhaps, be committed in this same sort of definition--A along with B; as when, for example, the definition tendered of anger is--pain along with the belief of being treated with contempt. What the definer really intends here is, that the pain arises from the belief of being treated with contempt. But this is not expressed by the terms of his definition, in any one of their admissible meanings.[338] [Footnote 335: Ibid. b. 27-32. [Greek: ô(/st' e)a\n o(poterô|ou=n tô=n ei)rême/nôn tau)to\n _o(mologê/sê|_ ei)=nai to\ to/de meta\ tou=de, tau)ta\ a(rmo/sei le/gein a(/per pro\s e(ka/teron tou/tôn e)/mprosthen ei)/rêtai.]] [Footnote 336: Ibid. b. 32-39. [Greek: ê)\ ô(s e)/n tini tau)tô=| dektikô=|], &c.] [Footnote 337: Topic. VI. xiii. p. 151, a. 1-13. [Greek: ou)/te ga\r pro\s e(/teron au)tôn e(ka/teron dei= le/gesthai ou)/te pro\s tau)to\n to\ tucho/n, a)lla\ pro\s to\ tê=s a)ndrei/as te/los, oi(=on pro\s tou\s polemikou\s kindu/nous ê)\ ei)/ ti ma=llon tou/tou te/los.]] [Footnote 338: Ibid. a. 14-19.] 34. Perhaps the definition, while including two or more distinct parts, may be tendered in this form: The definiend is the composition of A and B; _e.g._, animal is the composition of soul and body. You will first note that the definer has not declared what sort of composition. There is a great difference between one mode of composition and another; the mode must be specialized. Both flesh and bone may be defined--a composition of fire, earth, and water; but one mode of composition makes flesh, another makes bone, out of these same elements. You may also take the farther objection that to define a compound as composition is erroneous; the two are essentially disparate, one of them being abstract, the other concrete.[339] [Footnote 339: Ibid. a. 20-31.] 35. If the definiend be in its nature capable of receiving two contrary attributes, and if the respondent define it by one or other of them, you have an argument against him. If one of them is admissible, the other must be equally so; and upon this supposition there would be two distinct definitions of the same subject; which has been already declared impossible. Thus, it is wrong to define the soul as a substance which is recipient of knowledge; the soul is also recipient of ignorance.[340] [Footnote 340: Ibid. a. 32-b. 2.] 36. Perhaps the definiend is not sufficiently well known to enable you to attack the definition as a whole, but you may find arguments against one or other of its parts; this is sufficient to upset it. If it be obscure and unintelligible, you should help to correct and