About this book

Aristotle

George Grote

this last phrase, not what is more knowable to all actual men but, what is more knowable to men of well-trained and well-constituted intellect; just as, when we speak of the wholesome, we mean what is wholesome to the well-constituted body.[279] These conditions of Definition you must thoroughly master, and apply to each debate as the occasion may require. Your task in refuting an alleged definition will be the easiest in those cases where it conforms to neither of the above conditions; that is, when it enunciates neither what is _notius naturâ_ nor what is _notius nobis_.[280] [Footnote 273: Ibid. v. p. 142, b. 20.] [Footnote 274: Topic. VI. iv. p. 141, b. 3-14.] [Footnote 275: Ibid. b. 22.] [Footnote 276: Ibid. b. 25.] [Footnote 277: Ibid. b. 16.] [Footnote 278: Ibid. b. 34. The general mental fact here noticed by Aristotle may be seen philosophically stated and explained in the volume of Professor Bain on the Emotions and the Will. (Chapter on Consciousness, sect. 19, p. 581, 2nd ed.) "A sensation is, under any view of it, a conscious element of the mind. As pleasure or pain, we are conscious in one way; as discrimination, we are conscious in the other way, namely, in a mode of neutral excitement.--But this is not all. After much contact with the sensible world, a new situation arises, and a new variety of the consciousness, which stands in need of some explanation. When a child experiences for the first time the sensation of scarlet, there is nothing but the sensibility of a new impression more or less intense. . . . It is very difficult for us to realize or define this original shock, our position in mature life being totally altered. It is the rarest thing for us _then_ to come under a radically new impression; and we can only, by help of imperfect analogies, form an approximate conception of what happens at the first shock of a discriminative sensation. The process of engraining these impressions on the mind after repetition, gives to subsequent sensations quite a different character as compared with the first. The second shock of scarlet, if it stood alone, would doubtless resemble the preceding; but such is the nature of the mind, that the new shock will not stand alone, but restores the notion or idea or trace that survived the former. The sensation is no longer the primitive stroke of surprise, but a coalition of a present shock with all that remains of the previous occasions. Hence it may properly be said, when we see, or hear, or touch, or move, that what comes before us is really contributed more by the mind itself than by the object present. The consciousness is complicated by three concurring elements--the new shock, the flash of agreement with the sum total of the past, and the feeling of that past as revived in the present. In truth, the new sensation is apt to be entirely over-ridden by the old; and, in place of discriminating by virtue of our susceptibility to what is characteristic in it, our discrimination follows another course. For example, if I have before me two shades of colour, instead of feeling the difference exactly as I am struck at the moment, my judgment resorts to the round-about process of first identifying each with some reiterated series of past impressions; and, having two sum-totals in my mind, the difference that I feel is between those totals. If I made a mistake, it may be attributed not so much to a wrong act of discrimination, as to a wrong act of identification.--All sensations, therefore, after the first of each kind, involve a flash of recovery from the past, which is what really determines their character. The present shock is simply made use of as a means of reviving some one past in preference to all others; the new impression of scarlet is in itself almost insignificant, serving only as the medium of resuscitating the cerebral condition resulting from the united force of all the previous scarlets.--Sensation thus calls into operation the two great intellectual laws, in addition to the primitive sensibility of difference.--When we consider ourselves as performing the most ordinary act of seeing or hearing, we are bringing into play those very functions of the intellect that make its development and its glory in its highest manifestations."] [Footnote 279: Topic. VI. iv. p. 142, a. 10.] [Footnote 280: Ibid. a. 12; also, a. 32.] The canon being, That what is _posterius_ must be defined by its _prius_,--the definer may sin against this in defining the _prius_ by its _posterius_; _e.g._, if he defines the stationary and the determinate by means of the moveable and the variable.[281] Also, when his definition is neither _prius_, nor _posterius_, but of equal position with the definiend, he is at fault. This may happen (1) when he defines by an Opposite (for, according to some, the science of Opposites is one and the same, and it is impossible that either one of a pair can be absolutely more knowable than the other; though it is true that no relative can be understood or explained without the knowledge of its correlative, _e.g._, double and half); or (2) when he includes the definiend itself in his definition, either under its proper name or any other name;[282] or (3) when he defines by means of a contra-specific to the definiend--by something of equal specific rank or position, which is therefore _simul naturâ_ therewith (_e.g._, Odd is that which is greater than even by unity); or (4) when he defines by something specifically subordinate (_e.g._, An even number is that which may be bisected, where bisected means divisible by two, itself one among the even numbers[283]). [Footnote 281: Ibid. a. 20: [Greek: pro/teron ga\r to\ me/non kai\ to\ ô(risme/non tou= a)ori/stou kai\ e)n kinê/sei o)/ntos.]] [Footnote 282: Topic. VI. iv. p. 142, a. 22-b. 6.] [Footnote 283: Ibid. b. 7-19: [Greek: pa/lin, ei) tô=| a)ntidiê|rême/nô| to\ a)ntidiê|rême/non ô(/ristai--o(moi/ôs de\ kai\ ei) dia\ tô=n u(poka/tô to\ e)pa/nô ô(/ristai.]] 2. The second _locus_ (after that bearing on the _Prius et Notius_) of argument for **impugning a definition is, where it does not enunciate the genus in which the definiend is really included. The mention of the genus, as enunciating the fundamental essence of the definiend, ought to stand first in the definition. If your opponent defines body--that which has three dimensions, or man--that which knows how to count, you attack him by asking, What is it that has three dimensions? What is it that knows how to count? No genus has been assigned.[284] [Footnote 284: Ibid. v. p. 142, b. 22-29.] 3. A third _locus_ is, where the definiend is a complex whole having reference to several distinct facts or phenomena, while the definition indicates only one of them. Thus, if grammar be defined--the knowing how to write from dictation, you will object that it is just as much--the knowing how to read. The definition is incomplete unless it includes both.[285] [Footnote 285: Ibid. b. 30.] 4. A fourth _locus_ is, where the definiend admits both of a better and a worse construction, and where the definition enunciates only the worse. You may impugn it, on the ground that every cognition and every power must be understood as tending to its best results.[286] [Footnote 286: Ibid. p. 143, a. 9.] 6. A fifth _locus_ is, where the definiend is enunciated as ranking, not in the lowest and nearest species to which it belongs but, in some higher and more distinct genus. Here the real essence will not be declared, and the definition will thus be incomplete; unless indeed it includes, along with the highest genus, the superadded mention of all the differentiæ descending down to the lowest species. It will then be complete, because it will include, in circumlocutory phrase, all that would be declared by enunciating the specific name.[287] [Footnote 287: Ibid. a. 15-28.] 6. Assuming the genus to be truly declared in the definition you will examine whether the differentiæ enunciated are differentiæ at all? whether they really belong to the definiend? what is it which they serve to contrast with and exclude,--since, if there be nothing such, they cannot be truly differentiæ? whether the differential term and its counter-differential apply to and cover the whole genus? whether, granting the differentia to be real, it be such, when taken along with the genus, as to constitute a true species, and whether its counter-differentia be such also? This is a _locus_ furnishing many possibilities of impugning the definition.[288] [Footnote 288: Topic. VI. vi. p. 143, a. 29-b. 10.] 7. Perhaps the definition may enunciate a differentia which is merely negative; _e.g._, A line is length without breadth. If you are debating with a respondent who holds the (Platonic) doctrine of Ideas, and who considers each Idea or genus to be something numerically one, distinct from all its participants, you will find here a _locus_ for attacking them.[289] He asserts the existence of a Self-long or generical long, a Self-animal or generic animal, each numerically one. Now, upon this hypothesis, since of all long you may predicate either in the affirmative or the negative (_i.e._, either it is broad or it is not broad), so this alternative may be predicated of the Self-long or generical long; and thus the genus will coincide with, or fall under the definition of, one among its own species. Or, if this be denied, it will follow that the generic long must be both broad and not broad; which is a contradiction still more inadmissible. Accordingly, against one who holds the doctrine of Ideas, declaring the genus to be _unum numero_, the negative differentia will furnish grounds for attack; but not against any other respondent.[290] For there are various cases in which the negative must be employed as a part of the differentia: _e.g._, in privative terms, blind is one whose nature it is to see but who does not see. And, even when the differentia enunciated is affirmative, it may have for its condivident member only a negative term, _e.g._, length having-breadth has for its condivident member only the negative, length not-having-breadth.[291] [Footnote 289: Ibid. b. 11-30.] [Footnote 290: Ibid. b. 29: [Greek: ô(/ste _pro\s e)kei/nous mo/nous_ chrê/simos o( to/pos, o(/soi to\ ge/nos e(\n a)rithmô=| phasi\n ei)=nai. tou=to de\ poiou=sin oi( ta\s i)de/as tithe/menoi; au)to\ ga\r mê=kos kai\ au)to\ zô=|on ge/nos phasi\n ei)=nai.]] [Footnote 291: Ibid. b. 33.] 8. Perhaps the definition may enunciate as a differentia what is really a subordinate species; or what is really the genus itself under another name; or what is not _Quale_, but _Quid_; or what belongs to the definiend as an accident only. Each of these is a _locus_ for arguments against the definition.[292] [Footnote 292: Topica, VI. vi. p. 144, a. 5-27.] 9. Perhaps also, in the definition given, the differentia or the species may be found predicable of the entire genus; or the genus may be found predicable of the differentia itself, and not of objects under it; or the species (sometimes even one of its sub-species) may be found predicable of the differentia; or perhaps the differentia may not be a _prius_ as regards the species (which it ought to be, while it is a _posterius_ as regards the genus). Arguments against the definition may be drawn from any one of these loci.[293] [Footnote 293: Ibid. a. 28-b. 11.] 10. Recollect that the same differentia cannot belong to two distinct genera neither of which comprehends the other, unless both are comprehended under some higher genus. Examine whether this is observed in the definition tendered to you.[294] [Footnote 294: Ibid. b. 12.] 11. No genuine differentia can be derived either from the Category