CHAPTER IX. TOPICA . I.

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In treating of the Analytica Posteriora I have already adverted, in the way of contrast, to the Topica; and, in now approaching the latter work, I must again bring the same contrast before the mind of the reader.

The treatise called Topica (including that which bears the separate title De Sophisticis Elenchis, but which is properly its Ninth or last Book, winding up with a brief but memorable recapitulation of the Analytica and Topica considered as one scheme) is of considerable length, longer than the Prior and Posterior Analytics taken together. It contains both a theory and precepts of Dialectic; also, an analysis of the process called by Aristotle Sophistical Refutation, with advice how to resist or neutralize it.

All through the works of Aristotle, there is nothing which he so directly and emphatically asserts to be his own original performance, as the design and execution of the Topica: i.e., the deduction of Dialectic and Sophistic from the general theory of Syllogism. He had to begin from the beginning, without any model to copy or any predecessor to build upon: and in every sort of work, he observes justly, the first or initial stages are the hardest.1 In regard to Rhetoric much had been done before him; there were not only masters who taught it, but writers who theorized well or ill, and laid down precepts about it; so that, in his treatise on that subject, he had only to enlarge and improve upon pre-existing suggestions. But in regard to Dialectic as he conceives it — in its contrast with Demonstration and Science on the one hand, and in its analogy or kinship with Rhetoric on the other — nothing whatever had been done. There were, indeed, teachers of contentious dialogue, as well as of Rhetoric;2 but these teachers could do nothing better than recommend to their students dialogues or orations ready made, to be learnt by heart. Such a mode of teaching (he says), though speedy, was altogether unsystematic. The student acquired no knowledge of the art, being furnished only with specimens of art-results. It was as if a master, professing to communicate the art of making the feet comfortable, taught nothing about leather-cutting or shoe-making, but furnished his pupils with different varieties of ready-made shoes; thus supplying what they wanted for the protection of the feet, but not imparting to them any power of providing such protection for themselves.3 “In regard to the process of syllogizing (says Aristotle, including both Analytic and Dialectic) I found positively nothing said before me: I had to work it out for myself by long and laborious research.”4

1 Aristot. Sophist. Elench. xxxiv. p. 183, b. 22: ???st?? ??? ?s?? ???? pa?t??, ?spe? ???eta?· d?? ?a? ?a?ep?tat??. ?s? ??? ???t?st?? t? d???e?, t?s??t? ????tat?? ?? t? e???e? ?a?ep?tat?? ?st?? ?f???a?.

2 Sophist. Elench. xxxiv. p. 183, b. 34: ta?t?? d? t?? p?a?ate?a? ?? t? ?? ?? t? d’ ??? ?? p??e?e???as????, ???’ ??d?? pa?te??? ?p???e?. ?a? ??? t?? pe?? t??? ???st????? ?????? ?s?a?????t?? ???a t?? ?? ? pa?de?s?? t? G?????? p?a?ate??· ?????? ??? ?? ?? ??t??????? ?? d? ???t?t????? ?d?d?sa? ??a????e??, e?? ??? p?e?st???? ?p?pte?? ????sa? ???te??? t??? ??????? ??????.

3 Ibid. xxxiv. p. 184, a. 2.

4 Ibid. a. 7: ?a? pe?? ?? t?? ??t?????? p???? ?a? pa?a?? t? ?e??e?a, pe?? d? t?? s???????es?a? pa?te??? ??d?? e???e? p??te??? ???? ???e??, ???’ ? t??? ??t???te? p???? ?????? ?p????e?.

This is one of the few passages, throughout the philosopher’s varied and multitudinous works, in which he alludes to his own speciality of method. It is all the more interesting on that account. If we turn back to Sokrates and Plato, we shall understand better what the innovation operated by Aristotle was; what the position of Dialectic had been before his time, and what it became afterwards.

In the minds of Sokrates and Plato, the great antithesis was between Dialectic and Rhetoric — interchange of short question and answer before a select audience, as contrasted with long continuous speech addressed to a miscellaneous crowd with known established sentiments and opinions, in the view of persuading them on some given interesting point requiring decision. In such Dialectic Sokrates was a consummate master; passing most of his long life in the market-place and palÆstra, and courting disputation with every one. He made formal profession of ignorance, disclaimed all power of teaching, wrote nothing at all, and applied himself almost exclusively to the cross-examining Elenchus by which he exposed and humiliated the ablest men not less than the vulgar. Plato, along with the other companions of Sokrates, imbibed the Dialectic of his master, and gave perpetuity to it in those inimitable dialogues which are still preserved to us from his pen. He composed nothing but dialogues; thus giving expression to his own thoughts only under borrowed names, and introducing that of Sokrates very generally as chief spokesman. But Plato, though in some dialogues he puts into the mouth of his spokesman the genuine Sokratic disclaimer of all power and all purpose of teaching, yet does not do this in all. He sometimes assumes the didactic function; though he still adheres to the form of dialogue, even when it has become inconvenient and unsuitable. In the Platonic Republic Sokrates is made to alternate his own peculiar vein of cross-examination with a vein of dogmatic exposition not his own; but both one and the other in the same style of short question and answer. In the Leges becomes still more manifest the inconvenience of combining the substance of dogmatic exposition with the form of dialogue: the same remark may also be made about the Sophistes and Politicus; in which two dialogues, moreover, the didactic process is exhibited purely and exclusively as a logical partition, systematically conducted, of a genus into its component species. Long-continued speech, always depreciated by Plato in its rhetorical manifestations, is foreign to his genius even for purposes of philosophy: the very lecture on cosmogony which he assigns to TimÆus, and the mythical narrative (unfinished) delivered by Kritias, are brought into something like the form of dialogue by a prefatory colloquy specially adapted for that end.

It thus appears that, while in Sokrates the dialectic process is exhibited in its maximum of perfection, but disconnected altogether from the didactic, which is left unnoticed, — in Plato the didactic process is recognized and postulated, but is nevertheless confounded with or absorbed into the dialectic, and admitted only as one particular, ulterior, phase and manifestation of it. At the same time, while both Sokrates and Plato bring out forcibly the side of antithesis between Rhetoric and Dialectic, they omit entirely to notice the side of analogy or parallelism between them. On both these points Aristotle has corrected the confusion, and improved upon the discrimination, of his two predecessors. He has pointedly distinguished the dialectic process from the didactic; and he has gone a step farther, furnishing a separate theory and precepts both for the one and for the other. Again, he has indicated the important feature of analogy between Dialectic and Rhetoric, in which same feature both of them contrast with Didactic — the point not seized either by Sokrates or by Plato.

Plato, in his Sokratic dialogues or dialogues of Search, has given admirable illustrative specimens of that which Sokrates understood and practised orally as Dialectic. Aristotle, in his Topica, has in his usual vein of philosophy theorized on this practice as an art. He had himself composed dialogues, which seem as far as we can judge from indirect and fragmentary evidence, to have been Ciceronian or rhetorical colloquies — a long pleading pro followed by a long pleading con, rather than examples of Sokratic brachylogy and cross-examination. But his theory given in the Topica applies to genuine Sokratic fencing, not to the Ciceronian alternation of set speeches. He disallows the conception of Plato, that Dialectic is a process including not merely dispute but all full and efficacious employment of general terms and ideas for purposes of teaching: he treats this latter as a province by itself, under the head of Analytic: and devotes the Topica to the explanation of argumentative debate, pure and simple. He takes his departure from the Syllogism, as the type of deductive reasoning generally; the conditions under which syllogistic reasoning is valid and legitimate, having been already explained in his treatise called Analytica Priora. So obtained, and regulated by those conditions, the Syllogism may be applied to one or other of two distinct and independent purposes:— (1) To Demonstration or Scientific Teaching, which we have had before us in the last two chapters, commenting on the Analytica Posteriora; (2) To Dialectic, or Argumentative Debate, which we are now about to enter on in the Topica.

The Dialectic Syllogism, explained in the Topica, has some points in common with the Demonstrative Syllogism, treated in the Analytica Posteriora. In both, the formal conditions are the same, and the conclusions will certainly be true, if the premisses are true; in both, the axioms of deductive reasoning are assumed, namely, the maxims of Contradiction and Excluded Middle. But, in regard to the subject-matter, the differences between them are important. The Demonstrative Syllogism applies only to a small number of select sciences, each having special principia of its own, or primary, undemonstrable truths, obtained in the first instance by induction from particulars. The premisses being thus incontrovertibly certain, the conclusions deduced are not less certain; there is no necessary place for conflicting arguments or counter-syllogisms, although in particular cases paralogisms may be committed, and erroneous propositions or majors for syllogism may be assumed. On the contrary, the Dialectic Syllogism applies to all matters without exception; the premisses on which it proceeds are neither obtained by induction, nor incontrovertibly certain, but are borrowed from some one among the varieties of accredited or authoritative opinion. They may be opinions held by the multitude of any particular country, or by an intelligent majority, or by a particular school of philosophers or wise individuals, or from transmission as a current proverb or dictum of some ancient poet or seer. From any one of these sources the dialectician may borrow premisses for syllogizing. But it often happens that the premisses which they supply are disparate, or in direct contradiction to each other; and none of them is entitled to be considered as final or peremptory against the rest. Accordingly, it is an essential feature of Dialectic as well as of Rhetoric that they furnish means of establishing conclusions contrary or contradictory, by syllogisms equally legitimate.5 The dialectic procedure is from its beginning intrinsically contentious, implying a debate between two persons, one of whom sets up a thesis to defend, while the other impugns it by interrogation: the assailant has gained his point, if he can reduce the defendant to the necessity of contradicting himself; while the defendant on his side has to avoid giving any responses which may drive him to the necessity of such contradiction.

5 Aristot. Rhetoric. I. i. p. 1355, a. 29: ?t? d? t??a?t?a de? d??as?a? pe??e??, ?a??pe? ?a? ?? t??? s??????s???, ??? ?p?? ?f?te?a p??tt?e?, (?? ??? de? t? fa??a pe??e??), ???’ ??a ?te ?a????? p?? ??e?, ?a? ?p?? ????? ??????? t??? ?????? ? d??a??? a?t?? ??e?? ???e?. t?? ?? ??? ????? te???? ??de?a t??a?t?a s???????eta?· ? d? d?a?e?t??? ?a? ? ??t????? ??a? t??t? p????s??· ????? ??? e?s?? ?f?te?a? t?? ??a?t???.

Aristotle takes great pains to enforce the separation both of Dialectic and Rhetoric from Science or Instruction with its purpose of teaching or learning. He disapproves of those (seemingly intending Plato) who seek to confound the two. Dialectic and Rhetoric (he says) have for their province words and discourse, not facts or things: they are not scientific or didactic processes, but powers or accomplishments of discourse; and whoever tries to convert them into means of teaching or learning particular subjects, abolishes their characteristic feature and restricts their universality of application.6 Both of them deal not with scientific facts, but with the sum total of accredited opinions, though each for its own purpose: both of them lay hold of any one among the incoherent aggregate of accepted generalities, suitable for the occasion; the Dialectician trying to force his opponent into an inconsistency, the Rhetor trying to persuade his auditors into a favourable decision. Neither the one nor the other goes deeper than opinion for his premisses, nor concerns himself about establishing by induction primary or special principia, such as may serve for a basis of demonstration.

6 Ibid. iv. 2, p. 1359, b. 12: ?s? d’ ?? t?? ? t?? d?a?e?t???? ? ta?t?? (t?? ??t??????) ? ?a??pe? ?? d???e??, ???’ ?p?st?a?, pe???ta? ?atas?e???e??, ??seta? t?? f?s?? a?t?? ?fa??sa?, t? etaa??e?? ?p?s?e????? e?? ?p?st?a? ?p??e????? t???? p?a??t??, ???? ? ???? ?????.

In every society there are various floating opinions and beliefs, each carrying with it a certain measure of authority, often inconsistent with each other, not the same in different societies, nor always the same even in the same society. Each youthful citizen, as he grows to manhood, imbibes these opinions and beliefs insensibly and without special or professional teaching.7 The stock of opinions thus transmitted would not be identical even at Athens and Sparta: the difference would be still greater, if we compared Athens with Rome, Alexandria, or Jerusalem. Such opinions all carry with them more or less of authority, and it is from them that the reasonings of common life, among unscientific men, are supplied. The practice of dialectical discussion, prevalent in Athens during and before the time of Aristotle, was only a more elaborate, improved, and ingenious exhibition of this common talk; proceeding on the same premisses, but bringing them together from a greater variety of sources, handling them more cleverly, and having for its purpose to convict an opponent of inconsistency. The dialecticians dwelt exclusively in the region of these received opinions; and the purpose of their debates was to prove inconsistency, or to repel the proof of inconsistency, between one opinion and another.

7 For an acute and interesting description of this unsystematic transmission of opinions, see, in the Protagoras of Plato, the speech put into the mouth of Protagoras, pp. 323-325. See also ‘Plato and the Other Companions of Sokrates,’ Vol. II. ch. xxi. p. 45, seq.

This dialectic debate, which Aristotle found current at Athens, he tries in the Topica to define and reduce to system. The dialectician must employ Syllogism; and we are first taught to distinguish the Syllogism that he employs from others. The Dialectic syllogism is discriminated on one side from the Demonstrative, on the other from the Eristic (or litigious); also from the scientific Paralogism or Pseudographeme. This discrimination is founded on the nature of the evidence belonging to the premisses. The Demonstrative syllogism (which we have already gone through in the Analytica Posteriora) has premisses noway dependent upon opinion: it deduces conclusions from true first principles, obtained by Induction in each science, and different in each different science. The Dialectic syllogism does not aspire to any such evidence, but borrows its premisses from Opinion of some sort; accredited either by numbers, or by wise individuals, or by some other authoritative holding. As this evidence is very inferior to that of the demonstrative syllogism, so again it is superior to that of the third variety — the Eristic syllogism. In this third variety,8 the premisses do not rest upon any real opinion, but only on a fallacious appearance or simulation of opinion; insomuch that they are at once detected as false, by any person even of moderate understanding; whereas (according to Aristotle) no real opinion ever carries with it such a merely superficial semblance, or is ever so obviously and palpably false. A syllogism is called Eristic also when it is faulty in form, though its premisses may be borrowed from real opinion, or when it is both faulty in form and false in the matter of the premisses. Still a fourth variety of syllogism is the scientific Paralogism: where the premisses are not borrowed from any opinion, real or simulated, but belong properly to the particular science in which they are employed, yet nevertheless are false or erroneous.9

8 Topic. I. p. 100, b. 23: ???st???? d’ ?st? s??????s?? ? ?? fa??????? ??d????, ? ??t?? d?, ?a? ? ?? ??d???? ? fa??????? ??d???? fa???e???. ?? ??? p?? t? fa???e??? ??d???? ?a? ?st?? ??d????. ????? ??? t?? ?e?????? ??d???? ?p?p??a??? ??e? pa?te??? t?? fa?tas?a?, ?a??pe? pe?? t?? t?? ???st???? ????? ????? s????e? ??e??· pa?a???a ??? ?a? ?? ?p? t? p??? t??? ?a? ???? s?????? d??a????? ?at?d???? ?? a?t??? ? t?? ?e?d??? ?st? f?s??.

9 Ibid. i. p. 101, a. 5-17.

Upon the classification of syllogisms here set forth by Aristotle, we may remark that the distinction between the Demonstrative and the Dialectic is true and important; but that between the Dialectic and the Eristic is faint and unimportant; the class called Eristic syllogisms being apparently introduced merely to create a difference, real or supposed, between the Dialectician and the Sophist, and thus to serve as a prelude to the last book of this treatise, entitled Sophistici Elenchi. The class-title Eristic (or litigious) is founded upon a supposition of dishonest intentions on the part of the disputant; but it is unphilosophical to make this the foundation of a class, and to rank the same syllogism in the class, or out of it, according as the intentions of the disputant who employs it are honest or dishonest. Besides, a portion of Aristotle’s definition tells us that the Eristic syllogism is one of which the premisses can impose upon no one; being such that a very ordinary man can at once detect their falsity. The dishonest disputant, surely, would argue to little purpose, if he intentionally employed such premisses as these. Lastly, according to another portion of Aristotle’s definition, every syllogism faulty in form, or yielding no legitimate conclusion at all, will fall under the class Eristic, and this he himself in another place explicitly states;10 which would imply that the bad syllogism must always emanate from litigious or dishonest intentions. But in defining the Pseudographeme, immediately afterwards, Aristotle does not imply that the false scientific premiss affords presumption of litigious disposition on the part of those who advance it; nor does there seem any greater propriety in throwing all bad dialectic syllogisms under the general head of Eristic.

10 Topic. VIII. xii. p. 162, b. 4.

The dialectician, then, will carry on debate only by means of premisses sustained by real opinion; which not only always carry some authority, but are assumed as being never obviously fallacious; though often inconsistent with each other, and admitting of argumentation pro and con. These are what Aristotle calls Endoxa; opposed to Adoxa, or propositions which are discountenanced, or at least not countenanced, by opinion, and to Paradoxa (a peculiar variety of Adoxa),11 or propositions which, though having ingenious arguments in their favour, yet are adverse to some proclaimed and wide-spread opinions, and thus have the predominant authority of opinion against them.

11 Ibid. I. xi. p. 104, b. 24: pe?? ?? ????? ???e? ??a?t??? ta?? d??a??.

Of these three words, Paradox is the only one that has obtained a footing in modern languages, thanks to Cicero and the Latin authors. If the word Endox had obtained the like footing, we should be able to keep more closely to the thought and views of Aristotle. As it is, we are obliged to translate the Greek Endoxon as Probable, and Adoxon as Improbable:12 which, though not incorrect, is neither suitable nor exactly coincident. Probable corresponds more nearly to what Aristotle (both in this treatise and in the Analytica) announces sometimes as t? ?? ?p? t? p??? — that which happens in most cases but not in all, as distinguished from the universal and necessary on one side, and from the purely casual on the other;13 sometimes, also, as t? e???? or t? s?e???. Now this is a different idea from (though it has a point of analogy with) the Endoxon: which is not necessarily true even in part, but may be wholly untrue; which always has some considerations against it, though there may be more in its favour; and which, lastly, may be different, or even opposite, in different ages and different states of society. When Josephus distinguished himself as a disputant in the schools of Jerusalem on points of law and custom,14 his arguments must have been chiefly borrowed from the Endoxa or prevalent opinions of the time and place; but these must have differed widely from the Endoxa found and argued upon by the contemporaries of Aristotle at Athens. The Endoxon may indeed be rightly called probable, because, whenever a proposition is fortified by a certain body of opinion, Aristotle admits a certain presumption (greater or less) that it is true. But such probability is not essential to the Endoxon: it is only an accident or accompaniment (to use the Aristotelian phrase), and by no means an universal accompaniment. The essential feature of the Endoxon is, that it has acquired a certain amount of recognition among the mass of opinions and beliefs floating and carrying authority at the actual time and place. The English word whereby it is translated ought to express this idea, and nothing more; just as the correlative word Paradox does express its implication, approached from the other side. Unfortunately, in the absence of Endox, we have no good word for the purpose.

12 Aristotle gives a double meaning of ?d???? (Topic. VIII. ix. ix. 160, b. 17):— 1. That which involves absurd or strange consequences (?t?pa). 2. That which affords presumption of a bad disposition, such as others will disapprove — ???? ?t? ?d??? t??a??? ?a? t? ?d??e?? ??t??? t?? ?d??e?s?a?.

13 Topic. II. vi. p. 112, b. 1: ?pe? d? t?? p?a??t?? t? ?? ?? ??????? ?st?, t? d’ ?? ?p? t? p???, t? d’ ?p?te?’ ?t??e?, &c. Compare also Analyt. Post. I. xxx., et alib.

14 See Josephus, De Vit SuÂ, c. ii.

It is within this wide field of floating opinions that dialectical debate and rhetorical pleading are carried on. Dialectic supposes a questioner or assailant, and a respondent or defendant. The respondent selects and proclaims a problem or thesis, which he undertakes to maintain: the assailant puts to him successive questions, with the view of obtaining concessions which may serve as premisses for a counter-syllogism, of which the conclusion is contradictory or contrary to the thesis itself, or to some other antecedent premiss which the respondent has already conceded. It is the business of the respondent to avoid making any answers which may serve as premisses for such a counter-syllogism. If he succeeds in this, so as not to become implicated in any contradiction with himself, he has baffled his assailant, and gained the victory. There are, however, certain rules and conditions, binding on both parties, under which the debate must be carried on. It is the purpose of the Topica to indicate these rules; and, in accordance therewith, to advise both parties as to the effective conduct of their respective cases—as to the best thrusts and the best mode of parrying. The assailant is supplied with a classified catalogue of materials for questions, and with indications of the weak points which he is to look out for in any new subject which may turn up for debate. He is farther instructed how to shape, marshal, and disguise his questions, in such a way that the respondent may least be able to foresee their ultimate bearing. The respondent, on his side, is told what he ought to look forward to and guard against. Such is the scope of the present treatise; the entire process being considered in the large and comprehensive spirit customary with Aristotle, and distributed according to the Aristotelian terminology and classification.

It is plain that neither the direct purpose of the debaters, nor the usual result of the debate, is to prove truth or to disprove falsehood. Such may indeed be the result occasionally; but the only certain result is, that an inconsistency is exposed in the respondent’s manner of defending his thesis, or that the assailant fails in his purpose of showing up such inconsistency. Whichever way the debate may turn, no certain inference can be drawn as to the thesis itself: not merely as to whether it is true or false, but even as to whether it consists or does not consist with other branches of received opinions. Such being the case, what is the use or value of dialectic debate, or of a methodized procedure for conducting it? Aristotle answers this question, telling us that it is useful for three purposes.15 First, the debate is a valuable and stimulating mental exercise; and, if a methodized procedure be laid down, both parties will be able to conduct it more easily as well as more efficaciously. Secondly, it is useful for our intercourse with the multitude;16 for the procedure directs us to note and remember the opinions of the multitude, and such knowledge will facilitate our intercourse with them: we shall converse with them out of their own opinions, which we may thus be able beneficially to modify. Thirdly, dialectic debate has an useful though indirect bearing even upon the processes of science and philosophy, and upon the truths thereby acquired.17 For it accustoms us to study the difficulties on both sides of every question, and thus assists us in detecting and discriminating truth and falsehood. Moreover, apart from this mode of usefulness, it opens a new road to the scrutiny of the first principia of each separate science. These principia can never be scrutinized through the truths of the science itself, which presuppose them and are deduced from them. To investigate and verify them, is the appropriate task of First Philosophy. But Dialectic also, carrying investigation as it does everywhere, and familiarized with the received opinions on both sides of every subject, suggests many points of importance in regard to these principia.

15 Topic. I. ii. p. 101, a. 26: ?st? d? p??? t??a, p??? ???as?a?, p??? t?? ??te??e??, p??? t?? ?at? f???s?f?a? ?p?st?a?.

16 Ibid. a. 30: p??? d? t?? ??te??e??, d??t? t?? t?? p????? ?at????????? d??a? ??? ?? t?? ????t???? ???’ ?? t?? ???e??? d???t?? ????s?e? p??? a?t???, eta?????te? ? t? ?? ? ?a??? fa????ta? ???e?? ???.

17 Ibid. a. 34: p??? d? t?? ?at? f???s?f?a? ?p?st?a?, &c.

The three heads just enumerated illustrate the discriminating care of Aristotle. The point of the first head is brought out often in the Platonic Dialogues of Search: the stimulus brought to bear in awakening dormant intellectual power, and in dissipating that false persuasion of knowledge which is the general infirmity of mankind, is frequently declared by Plato to be the most difficult, but the indispensable, operation of the teacher upon his pupil. Under the third head, Aristotle puts this point more justly than Plato, not as a portion of teaching, nor as superseding direct teaching, but as a preliminary thereunto; and it is a habit of his own to prefix this antecedent survey of doubts and difficulties on both sides, as a means of sharpening our insight into the dogmatic exposition which immediately follows.

Under the second head, we find exhibited another characteristic feature of Aristotle’s mind — the value which he sets upon a copious acquaintance with received opinions, whether correct or erroneous. The philosophers of his day no longer talked publicly in the market-place and with every one indiscriminately, as Sokrates had done: scientific study, and the habit of written compositions naturally conducted them into a life apart, among select companions. Aristotle here indicates that such estrangement from the multitude lessened their means of acting beneficially on the multitude, and in the way of counteraction he prescribes dialectical exercise. His own large and many-sided observation, extending to the most vulgar phenomena, is visible throughout his works, and we know that he drew up a collection of current proverbs.18

18 Diog. Laert. v. 26. Kephisodorus, the disciple of Isokrates, in defending his master, depreciated this Aristotelian collection; see in AthenÆus II. lvi., comparing SchweighÄuser’s Animadversiones I. p. 406.

Again, what we read under the third head shows that, while Aristotle everywhere declares Demonstration and teaching to be a process apart from Dialectic, he at the same time recognizes the legitimate function of the latter, for testing and verifying the principia of Demonstration:19 which principia cannot be reached by Demonstration itself, since every demonstration presupposes them. He does not mean that these principia can be proved by Dialectic, for Dialectic does not prove any thing; but it is necessary as a test or scrutinizing process to assure us that all the objections capable of being offered against them can be met by sufficient replies. In respect of universal competence and applicability, Dialectic is the counterpart, or rather the tentative companion and adjunct, of what Aristotle calls First Philosophy or Ontology; to which last he assigns the cognizance of principia, as we shall see when we treat of the Metaphysica.20 Dialectic (he repeats more than once) is not a definite science or body of doctrine, but, like rhetoric or medicine, a practical art or ability of dealing with the ever varying situations of the dialogue; of imagining and enunciating the question proper for attack, or the answer proper for defence, as the case may be. As in the other arts, its resources are not unlimited. Nor can the dialectician, any more than the rhetor or the physician, always guarantee success. Each of them has an end to be accomplished; and if he employs for its accomplishment the best means that the situation permits, he must be considered a master of his own art and procedure.21 To detect truth, and to detect what is like truth, belong (in Aristotle’s judgment) to the same mental capacity. Mankind have a natural tendency towards truth, and the common opinions therefore are, in most cases, coincident with truth. Accordingly, the man who divines well in regard to verisimilitude, will usually divine well in regard to truth.22

19 Topic. I. ii. p. 101, b. 3: ??etast??? ??? ??sa p??? t?? ?pas?? t?? e??d?? ????? ?d?? ??e?.

20 Metaphys. G. iii. p. 1005, a. 20-b. 10; G. ii. p. 1004, b. 15-30.

21 Topic. I. iii. p. 101, b. 5: ???e? d? te???? t?? ???d??, ?ta? ????? ???e? ?spe? ?p? ??t?????? ?a? ?at????? ?a? t?? t????t?? d???e??. t??t? d’ ?st? t? ?? t?? ??de?????? p??e?? ? p??a????e?a. ??te ??? ? ??t?????? ?? pa?t?? t??p?? pe?se?, ???’ ? ?at????? ????se?· ???’ ??? t?? ??de?????? ?d?? pa?a??p?, ??a??? a?t?? ??e?? t?? ?p?st??? f?s?e?.

The word ?p?st??? in the last line is used loosely, since Aristotle, in the Rhetorica (p. 1369, b. 12), explicitly states that Rhetoric and Dialectic are not to be treated as ?p?st?a? but as mere d???e??.

22 Rhetoric. I. i. p. 1355, a. 17.

The subject-matter of dialectic debate, speaking generally, consists of Propositions and Problems, to be propounded as questions by the assailant and to be admitted or disallowed by the defendant. They will relate either to Expetenda and Fugienda, or they must bear, at least indirectly, upon some point of scientific truth or observed cognition.23 They will be either ethical, physical, or logical; class-terms which Aristotle declines to define, contenting himself with giving an example to illustrate each of them, while adding that the student should collect other similar examples, and gradually familiarize himself with the full meaning of the general term, through such inductive comparison of particulars.24

23 Topic. I, xi. p. 104, b. 2.

24 Topic. I. xiv. p. 105, b. 20-29: a? ?? ??? ????a? p??t?se?? e?s??, a? d? f?s??a?, a? d? ?????a?. — p??a? d’ ??asta? t?? p??e???????, ???s? ?? ??? e?pet?? ?p?d???a? pe?? a?t??, t? d? d?? t?? ?pa????? s????e?? pe??at??? ??????e?? ???st?? a?t??, ?at? t? p??e?????a pa?ade??ata ?p?s??p???ta.

This illustrates Aristotle’s view of the process of Induction and its results; the acquisition of the import of a general term, through comparison of numerous particulars comprehended under it.

The term logical does not exactly correspond with Aristotle’s ?????a?, but on the present occasion no better term presents itself.

But it is not every problem coming under one of these three heads that is fit for dialectic debate. If a man propounds as subject for debate, Whether we ought to honour the gods or to love our parents, he deserves punishment instead of refutation: if he selects the question, Whether snow is white or not, he must be supposed deficient in perceptive power.25 What all persons unanimously believe, is unsuitable:26 what no one believes is also unsuitable, since it will not be conceded by any respondent. The problem must have some doubts and difficulties, in order to afford scope for discussion; yet it must not be one of which the premisses are far-fetched or recondite, for that goes beyond the limits of dialectic exercise.27 It ought to be one on which opinions are known to be held, both in the affirmative and in the negative; on which either the multitude differ among themselves, the majority being on one side, while yet there is an adverse minority; or some independent authority stands opposed to the multitude, such as a philosopher of eminence, a professional man or artist speaking on his own particular craft, a geometer or a physician on the specialities of his department. Matters such as these are the appropriate subjects for dialectic debate; and new matters akin to them by way of analogy may be imagined and will be perfectly admissible.28 Even an ingenious paradox or thesis adverse to prevailing opinions may serve the purpose, as likely to obtain countenance from some authority, though as yet we know of none.29

25 Ibid. xi. p. 105, a. 67: ????se?? — a?s??se??, d???ta?. Yet he considers the question, Whether we ought rather to obey the laws of the state or the commands of our parents, in case of discrepancy between the two,-—as quite fit for debate (xiv. p. 105, b. 22).

26 Ibid. x. p. 104, a. 5.

27 Ibid. xi. p. 105, a. 7: ??d? d? ?? s??e???? ? ?p?de????, ??d’ ?? ??a? p????· t? ?? ??? ??? ??e? ?p???a?, t? d? p?e??? ? ?at? ???ast????. The loose use of the word ?p?de???? deserves note here: it is the technical term of the Analyt. Post., denoting that application of the syllogism which contrasts with Dialectic altogether.

Aristotle here means only that problems falling within these limits are the best for dialectic discussion; but, in his suggestions later on, he includes problems for discussion involving the utmost generalities of philosophy. For example, he often adverts to dialectic debate on the Platonic Ideas or Forms (Topic. II. vii. p. 113, a. 25; V. vii. p. 137, b. 7; VI. vi. p. 143, b. 24. Compare also I. xi. p. 104, b. 14.)

28 Topic. I. x. p. 104, a. 11-37.

29 Ibid. xi. p. 104, b. 24-28: ? pe?? ?? ????? ???e? ??a?t??? ta?? d??a?? — t??t? ???, e? ?a? t??? ? d??e?, d??e?e? ?? d?? t? ????? ??e??.

These conditions apply both to problems propounded for debate, and to premisses tendered on either side during the discussion. Both the interrogator and the respondent — the former having to put appropriate questions, and the latter to make appropriate answers — must know and keep in mind these varieties of existing opinion among the multitude as well as among the special dissident authorities above indicated. The dialectician ought to collect and catalogue such Endoxa, with the opinions analogous to them, out of written treatises and elsewhere;30 distributing them under convenient heads, such as those relating to good and evil generally, and to each special class of good, &c. Aristotle, however, admonishes him that he is debating problems not scientifically, but dialectically: having reference not to truth, but to opinion.31 If the interrogator were proceeding scientifically and didactically, he would make use of all true and ascertained propositions, whether the respondent conceded them or not, as premisses for his syllogism. But in Dialectic he is dependent on the concession of the respondent, and can construct his syllogisms only from premisses that have been conceded to him.32 Hence he must keep as closely as he can to opinions carrying extrinsic authority, as being those which the respondent will hesitate to disallow.33

30 Topic. I. xiv. p. 105, b. 1-18. ?????e?? d? ??? ?a? ?? t?? ?e??a???? ?????.

31 Ibid. b. 30: p??? ?? ??? f???s?f?a? ?at’ ????e?a? pe?? a?t?? p?a?ate?t???, d?a?e?t???? d? p??? d??a?.

32 Ibid. VIII. i. p. 155, b. 10: p??? ?te??? ??? p?? t? t????t??, t? d? f???s?f? ?a? ??t???t? ?a?’ ?a?t?? ??d?? ??e?, ??? ????? ?? ? ?a? ?????a d?’ ?? ? s??????s??, ? ?? d’ a?t? ? ?p??????e???, &c.

33 Ibid. i. p. 156, b. 20: ???s??? d? ?a? t? ?p????e?? ?t? s????e? ?a? ?e??e??? t? t????t??· ?????s? ??? ???e?? t? e?????, ??stas?? ? ????te?.

Moreover, the form of the interrogation admissible in dialectic debate is peculiar. The respondent is not bound to furnish any information in his answer: he is bound only to admit, or to deny, a proposition tendered to him. You must not ask him, What is the genus of man? You must yourself declare the genus, and ask whether he admits it, in one or other of the two following forms — (1) Is animal the genus of man? (2) Is animal the genus of man, or not? to which the response is an admission or a denial.34

34 Ibid. I. iv. p. 101, b. 30. The first of these two forms Aristotle calls a p??tas??, the second he calls a p????a. But this distinction between these two words is not steadily adhered to: it is differently declared in Topic. I. x., xi. p. 104, as Alexander has remarked in the Scholia, p. 258, b. 4, Brand. Compare also De Interpretat. p. 20, b. 26; and Topic. VIII. ii. p. 158, a. 14: ?? d??e? d? p?? t? ?a????? d?a?e?t??? p??tas?? e??a?, ???? t? ?st?? ?????p??, ? p?sa??? ???eta? t??a???; ?st? ??? p??tas?? d?a?e?t??? p??? ?? ?st?? ?p?????as?a? ?a? ? ??· p??? d? t?? e?????a? ??? ?st??. d?? ?? d?a?e?t??? ?st? t? t??a?ta t?? ???t??t??, ?? ? a?t?? d????sa? ? d?e??e??? e?p?.

Dialectic procedure, both of the assailant and of the defendant, has to do with propositions and problems; accordingly, Aristotle introduces a general distribution of propositions under four heads. The predicate must either be Genus, or Proprium, or Accident, of its subject. But the Proprium divides itself again into two. It always reciprocates with, or is co-extensive with, its subject; but sometimes it declares the essence of the subject, sometimes it does not. When it declares the essence of the subject, Aristotle calls it the Definition; when it does not declare the essence of the subject, although reciprocating therewith, he reserves for it the title of Proprium. Every proposition, and every problem, the entire material of Dialectic, will declare one of these four — Proprium, Definition, Genus, or Accident.35 The Differentia, as being attached to the Genus, is ranked along with the Genus.36

35 Topic. I. iv. p. 101, b. 17-36.

36 Ibid. b. 18: t?? d?af???? ?? ??sa? ?e????? ??? t? ???e? ta?t???.

The above four general heads include all the Predicables, which were distributed by subsequent logicians (from whom Porphyry borrowed) into five heads instead of four — Genus, Species, Differentia, Proprium, Accident; the Differentia being ranked as a separate item in the quintuple distribution, and the Species substituted in place of the Definition. It is under this quadruple classification that Aristotle intends to consider propositions and problems as matters for dialectic procedure: he will give argumentative suggestions applicable to each of the four successively. It might be practicable (he thinks) to range all the four under the single head of Definition; since arguments impugning Genus, Proprium, and Accident, are all of them good also against Definition. But such a simplification would be perplexing and unmanageable in regard to dialectic procedure.37

37 Topic. I. vi. p. 102, b. 27-38. ???’ ?? d?? t??t? ?a? ?p? p??t?? ?a????? ???d?? ??t?t???· ??te ??? ??d??? e??e?? t??t’ ?st??, e? ?’ e??e?e??, pa?te??? ?saf?? ?a? d?s???st?? ?? e?? p??? t?? p???e????? p?a?ate?a?.

That the quadruple classification is exhaustive, and that every proposition or problem falls under one or other of the four heads, may be shown in two ways. First, by Induction: survey and analyse as many propositions as you will, all without exception will be found to belong to one of the four.38 Secondly, by the following Deductive proof:— In every proposition the predicate is either co-extensive and reciprocating with the subject, or it is not. If it does reciprocate, it either declares the essence of the subject, or it does not: if the former, it is the Definition; if the latter, it is a Proprium. But, supposing the predicate not to reciprocate with the subject, it will either declare something contained in the Definition, or it will not. If it does contain a part of the Definition, that part must be either a Genus or a Differentia, since these are the constituents of the Definition. If it does not contain any such part, it must be an Accident.39 Hence it appears that every proposition must belong to one or other of the four, and that the classification is exhaustive.

38 Ibid. viii. p. 103, b. 3: ?a ?? p?st?? ? d?? t?? ?pa?????· e? ??? t?? ?p?s??p??? ???st?? t?? p??t?se?? ?a? t?? p?????t??, fa????t’ ?? ? ?p? t?? ???? ? &c.

39 Topic. I. viii. p. 103, b. 6-19: ???? d? p?st?? ? d?? s??????s??.

It will be observed that Aristotle here resolves Definition into Genus and DifferentiÆ — ?pe?d? ? ???s?? ?? ?????? ?a? d?af???? ?st??. Moreover, though he does not recognize Species as a separate head, yet in his definition of Genus he implies Species as known — ????? ?st? t? ?at? p?e????? ?a? d?afe???t?? t? e?de? ?? t? t? ?st? ?at??????e??? (p. 102, a. 31).

It thus appears that the quintuple classification is the real and logical one; but the quadruple may perhaps be more suitable for the Topica, with a view to dialectic procedure, since debates turn upon the attack and defence of a Definition.

Moreover, each of the four Predicables must fall under one or other of the ten Categories or Predicaments. If the predicate be either of Genus or Definition, declaring the essence of the subject, it may fall under any one of the ten Categories; if of Proprium or Accident, not declaring essence, it cannot belong to the first Category (??s?a), but must fall under one of the remaining nine.40

40 Ibid. ix. p. 103, b. 20-39.

The notion of Sameness or Identity occurs so often in dialectic debate, that Aristotle discriminates its three distinct senses or grades: (1) Numero; (2) Specie; (3) Genere. Water from the same spring is only idem specie, though the resemblance between two cups of water from the same spring is far greater than that between water from different sources. Even Idem Numero has different significations: sometimes there are complete synonyms; sometimes an individual is called by its proprium, sometimes by its peculiar temporary accident.41

41 Ibid. vii. p. 103, a. 6-39.

Having thus classified dialectic propositions, Aristotle proceeds to the combination of propositions, or dialectic discourse and argument. This is of two sorts, either Induction or Syllogism; of both which we have already heard in the Analytica. Induction is declared to be plainer, more persuasive, nearer to sensible experience, and more suitable to the many, than Syllogism; while this latter carries greater compulsion and is more irresistible against professed disputants.42 A particular example is given to illustrate what Induction is. But we remark that though it is always mentioned as an argumentative procedure important and indispensable, yet neither here nor elsewhere does Aristotle go into any discriminative analysis of the conditions under which it is valid, as he does about Syllogism in the Analytica Priora.

42 Ibid. xii. p. 105, a. 10-19: p?sa t?? ????? e?d? t?? d?a?e?t????, &c.

What helps are available to give to the dialectician a ready and abundant command of syllogisms? Four distinct helps may be named:43 (1) He must make a large collection of Propositions; (2) He must study and discriminate the different senses in which the Terms of these propositions are used; (3) He must detect and note Differences; (4) He must investigate Resemblances.

43 Topic. I. xiii. p. 105, a. 21: t? d’ ???a?a, d?’ ?? e?p???s?e? t?? s??????s??, ?st? t?tta?a, ?? ?? t? p??t?se?? ?ae??, de?te??? d? p?sa??? ??ast?? ???eta? d??as?a? d?e?e??, t??t?? t?? d?af???? e??e??, t?ta?t?? d? ? t?? ????? s?????.

The term ???a?a, properly signifying instruments, appears here by a strained metaphor. It means simply helps or aids, as may be seen by comparing Top. VIII. xiv. p. 163, b. 9. Waitz says truly (Prolegg. ad Analyt. Post. p. 294): “unde fit, ut ???a?a dicat quÆcunque ad aliquam rem faciendam adiumentum afferant.”

1. About collecting Propositions, Aristotle has already indicated that those wanted are such as declare Endoxa, and other modes of thought cognate or analogous to the Endoxa:44 opinions of the many, and opinions of any small sections or individuals carrying authority. All such are to be collected (out of written treatises as well as from personal enquiry); nor are individual philosophers (like Empedokles) to be omitted, since a proposition is likely enough to be conceded when put upon the authority of an illustrious name.45 If any proposition is currently admitted as true in general or in most cases, it must be tendered with confidence to the respondent as an universal principle; for he will probably grant it, not being at first aware of the exceptions.46 All propositions must be registered in the most general terms possible, and must then be resolved into their subordinate constituent particulars, as far as the process of subdivision can be carried.47

44 Topic. I. xiv. p. 105, b. 4: ?????e?? ? ???? t?? ??sa? ??d?????, ???? ?a? t?? ???a? ta?ta??.

45 Ibid. b. 17: ?e?? ??? ?? t?? t? ?p? t???? e??????? ??d????.

46 Ibid. b. 10: ?sa ?p? p??t?? ? t?? p?e?st?? fa??eta?, ??pt??? ?? ????? ?a? d????sa? ??s??· t???as? ??? ?? ? s??????te? ?p? t???? ??? ??t??.

47 Ibid. b. 31-37: ??pt??? d’ ?t? ???sta ?a????? p?sa? t?? p??t?se??, ?a? t?? ?a? p????? p???t??? — d?a??et???, ??? ?? ??d???ta? d?a??e??, &c.

2. The propositions having been got together, they must be examined in order to find out Equivocation or double meaning of terms. There are various ways of going about this task. Sometimes the same predicate is applied to two different subjects, but in different senses; thus, courage and justice are both of them good, but in a different way. Sometimes the same predicate is applied to two different classes of subjects, each admitting of being defined; thus, health is good in itself, and exercise is good as being among those things that promote health.48 Sometimes the equivocal meaning of a term is perceived by considering its contrary; if we find that it has two or more distinct contraries, we know at once that it has different meanings. Sometimes, though there are not two distinct contraries, yet the mere conjunction of the same adjective with two substantives shows us at once that it cannot mean the same in both49 (?e??? f??? — ?e???? ???a). In one sense, the term may have an assignable contrary, while in another sense it may have no contrary; showing that the two senses are distinct: for example, the pleasure of drinking has for its contrary the pain of thirst; but the pleasure of scientifically contemplating that the diagonal of a square is incommensurable with the side, has no contrary; hence, we see that pleasure is an equivocal term.50 In one sense, there may be a term intermediate between the two contraries; in another sense, there may be none; or there may be two distinct intermediate terms for the two distinct senses; or there may be several intermediate terms in one of the senses, and only one or none in the other: in each of these ways the equivocation is revealed.51 We must look also to the contradictory opposite (of a term), which may perhaps have an obvious equivocation of meaning; thus, ? ??pe?? means sometimes to be blind, sometimes not to be seeing actually, whence we discover that ??pe?? also has the same equivocation.52 If a positive term is equivocal, we know that the privative term correlating with it must also be equivocal; thus, t? a?s???es?a? has a double sense, according as we speak with reference to mind or body; and this will be alike true of the correlating privative — t? ??a?s??t?? e??a?.53 Farther, an equivocal term will have its derivatives equivocal in the same manner; and conversely, if the derivative be equivocal, the radical will be so likewise.54 The term must also be looked at in reference to the ten Categories: if its meanings fall under more than one Category, we know that it is equivocal.55 If it comprehends two subjects which are not in the same genus, or in genera not subordinate one to the other, this too will show that it is equivocal.56 The contrary, also, of the term must be looked at with a view to the same inference.57

48 Topic. I. xv. p. 106, a. 1-8: t? d? p?sa???, p?a?ate?t??? ? ???? ?sa ???eta? ?a?’ ?te??? t??p??, ???? ?a? t??? ?????? a?t?? pe??at??? ?p?d?d??a?.

49 Ibid. a. 9-35.

50 Ibid. a. 36.

51 Ibid. b. 4.

52 Ibid. b. 13-20.

53 Ibid. b. 21-28.

54 Ibid. b. 28.

55 Ibid. p. 107, a. 3-17.

56 Ibid. a. 18.

57 Ibid. a. 32-35.

Again, it will be useful to bring together the same term in two different conjunctions, and to compare the definitions of the two. Define both of them, and then deduct what is peculiar to each definitum: if the remainder be different, the term will be equivocal; if the remainder be the same, the term will be univocal. Thus, ?e???? s?a will be defined, a body having such and such a colour: ?e??? f???, a voice easily and distinctly heard: deduct s?a from the first definition, and f??? from the second, the remainder will be totally disparate; therefore, the term ?e???? is equivocal.58 Sometimes, also, the ambiguity may be found in definitions themselves, where the same term is used to explain subjects that are not the same; whether such use is admissible, has to be considered.59 If the term be univocal, two conjunctions of it may always be compared as to greater or less, or in respect of likeness; whenever this cannot be, the term is equivocal.60 If, again, the term is used as a differentia for two genera quite distinct and independent of each other, it must be equivocal; for genera that are unconnected and not subordinate one to the other, have their differentiÆ also disparate.61 And, conversely, if the term be such that the differentiÆ applied to it are disparate, we may know it to be an equivocal term. The like, if the term be used as a species in some of its conjunctions, and as a differentia in others.62

58 Topic. I. xv. p. 107, a. 36-b. 3.

59 Ibid. b. 8.

60 Ibid. b. 13-18: ?t? e? ? s???t? ?at? t? ????? ? ?????, — t? ??? s??????? p?? s???t??.

61 Ibid. b. 19-26.

62 Ibid. b. 27-37.

3. Aristotle has thus indicated, at considerable length, the points to be looked for when we are examining whether a term is univocal or equivocal. He is more concise when he touches on the last two out of the four helps (???a?a) enumerated for supplying syllogisms when needed, — viz. the study of Differences and of Resemblances. In regard to the study of Differences, standing third, while he remarks that, where these are wide and numerous, they are sure without any precept to excite our attention, he advises that we should study the differences of subjects that are nearly allied, — those within the same genus, or comprehended in genera not much removed from one another, such as, the distinction between sensible perception and science. But he goes into no detail.63

63 Ibid. xvi. p. 107, b. 39.

4. In regard to the study of Resemblances, he inverts the above precept, and directs us to note especially the points of resemblance between subjects of great apparent difference.64 We must examine what is the quality common to all species of the same genus — man, horse, dog, &c.; for it is in this that they are similar. We may also compare different genera with each other, in respect to the analogies that are to be found in each: e.g., as science is to the cognizable, so is perception to the perceivable; as sight is in the eye, so is intellection in the soul; as ?a???? is in the sea, so is ???e?a in the air.65

64 Ibid. xvii. p. 108, a. 12: ???sta d’ ?? t??? p??? d?est?s? ?????es?a? de?· ???? ??? ?p? t?? ???p?? d???s?e?a t? ???a s??????.

65 Topic. I. xvii. p. 108, a. 7.

Such are the four distinct helps, towards facility of syllogizing, enumerated by Aristotle. It will be observed that the third and fourth (study of Resemblances and Differences) bear more upon matters of fact and less upon words; while the second (t? p?sa???), though doubtless also bearing on matters of fact and deriving from thence its main real worth, yet takes its departure from terms and propositions, and proceeds by comparing multiplied varieties of these in regard to diversity of meaning. Upon this ground it is, apparently, that Aristotle has given so much fuller development to the second head than to the third and fourth; for, in the Topica, he is dealing with propositions and counter-propositions — with opinions and counter-opinions, not with science and truth.

He proceeds to indicate the different ways in which these three helps (the second, third, and fourth) further the purpose of the dialectician — respondent as well as assailant. Unless the different meanings of the term be discriminated, the respondent cannot know clearly what he admits or what he denies; he may be thinking of something different from what the assailant intends, and the syllogisms constructed may turn upon a term only, not upon any reality.66 The respondent will be able to protect himself better against being driven into contradiction, if he can distinguish the various meanings of the same term; for he will thus know whether the syllogisms brought against him touch the real matter which he has admitted.67 On the other hand, the assailant will have much facility in driving his opponent into contradiction, if he (the assailant) can distinguish the different meanings of the term, while the respondent cannot do so; in those cases at least where the proposition is true in one sense of the term and false in another.68 This manner of proceeding, however, is hardly consistent with genuine Dialectic. No dialectician ought ever to found his interrogations and his arguments upon a mere unanalysed term, unless he can find absolutely nothing else to say in the debate.69

66 Ibid. xviii. p. 108, a. 22.

67 Ibid. a. 26: ???s??? d? ?a? p??? t? ? pa?a????s???a? ?a? p??? t? pa?a????sas?a?. e?d?te? ??? p?sa??? ???eta? ?? ? pa?a????s??e?, ???’ e?d?s?e? ??? ? p??? t? a?t? t?? ????? p???ta? ? ???t??.

68 Ibid. a. 29: a?t?? te ???t??te? d???s?e?a pa?a????sas?a? ??? ? t?????? e?d?? ? ?p??????e??? p?sa??? ???eta?· t??t? d’ ??? ?p? p??t?? d??at??, ???’ ?ta? ? t?? p???a??? ?e?????? t? ?? ?????, t? d? ?e?d?.

69 Topic. I. xviii. p. 108, a. 34: d?? pa?te??? e??a?t??? t??? d?a?e?t????? t? t?????t??, t? p??? t????a d?a???es?a?, ??? ? t?? ????? ??ad??at? pe?? t?? p???e????? d?a???es?a?.

The third help (an acquaintance with Differences) will be of much avail on all occasions where we have to syllogize upon Same and Different, and where we wish to ascertain the essence or definition of any thing; for we ascertain this by exclusion of what is foreign thereunto, founded on the appropriate differences in each case.70

70 Ibid. b. 2.

Lastly, the fourth help (the intelligent survey of Resemblances) serves us in different ways:— (1) Towards the construction of inductive arguments; (2) Towards syllogizing founded upon assumption; (3) Towards the declaration of definitions. As to the inductive argument, it is founded altogether on a repetition of similar particulars, whereby the universal is obtained.71 As to the syllogizing from an assumption, the knowledge of resemblances is valuable, because we are entitled to assume, as an Endoxon or a doctrine conformable to common opinion, that what happens in any one of a string of similar cases will happen also in all the rest. We lay down this as the major proposition of a syllogism; and thus, if we can lay hold of any one similar case, we can draw inference from it to the matter actually in debate.72 Again, as to the declaration of 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

71 Ibid. b. 9.

72 Ibid. b. 12: p??? d? t??? ?? ?p???se?? s?????s?s???, d??t? ??d???? ?st??, ?? p?te ?f’ ???? t?? ????? ??e?, ??t?? ?a? ?? t?? ???p??· ?ste p??? ? t? ?? a?t?? e?p???e? d?a???es?a?, p??d???????s?e?a, ?? p?te ?p? t??t?? ??e?, ??t? ?a? ?p? t?? p???e????? ??e??. de??a?te? d? ??e??? ?a? t? p???e?e??? ?? ?p???se?? dede???te? ?s?e?a· ?p???e??? ???, ?? p?te ?p? t??t?? ??e?, ??t? ?a? ?p? t?? p???e????? ??e??, t?? ?p?de???? pep???e?a. For t? ?? ?p???se??, compare Topic. III. vi. p. 119, b. 35.

73 Topic. I. xviii. p. 108, b. 19.

74 Topic. I. xviii. p. 108, b. 27: ?ste t? ?????? ?p? p??t?? ????? ?p?d?d??te? d???e? ??? ????t???? ????es?a?. It will be recollected that all the work of Dialectic (as Aristotle tells us often) has reference to d??a 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.

                                                                                                                                                                                                                                                                                                           

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