CHAPTER III.* (continued 2)
Project Gutenberg EPUB3 edition
Grote, George
Difficulty of understanding how the same predicate could belong to more than one subject.
Stilpon (like Antisthenes, as I have remarked above) seems to have had in his mind a type of predication, similar to the type of reasoning which Aristotle laid down the syllogism: such that the form of the proposition should be itself a guarantee for the truth of what was affirmed. Throughout the ancient philosophy, especially in the more methodised debates between the Academics and Sceptics on one side, and the Stoics on the other — what the one party affirmed and the other party denied, was, the existence of a Criterion of Truth: some distinguishable mark, such as falsehood could not possibly carry. To find this infallible mark in propositions, Stilpon admitted none except identical. While agreeing with Antisthenes, that no predicate could belong to a subject different from itself, he added a new argument, by pointing out that predicates applied to one subject were also applied to many other subjects. Now if the predicates belonged to one, they could not (in his view) belong to the others: and therefore they did not really belong to any. He considered that predication involved either identity or special and exclusive implication of the predicate with the subject.
Analogous difficulties in the Platonic Parmenidês.
Stilpon was not the first who had difficulty in explaining to himself how one and the same predicate could be applied to many different subjects. The difficulty had already been set forth in the Platonic Parmenidês.133 How can the Form (Man, White, Good, &c.) be present at one and the same time in many distinct individuals? It cannot be present as a whole in each: nor can it be divided, and thus present partly in one, partly in another. How therefore can it be present at all in any of them? In other words, how can the One be Many, and how can the Many be One? Of this difficulty (as of many others) Plato presents no solution, either in the Parmenidês or anywhere else.134 Aristotle alludes to several contemporaries or predecessors who felt it. Stilpon reproduces it in his own way. It is a very real difficulty, requiring to be dealt with by those who lay down a theory of predication; and calling upon them to explain the functions of general propositions, and the meaning of general terms.
Menedêmus disallowed all negative predication.
Menedêmus the Eretrian, one among the hearers and admirers of Stilpon, combined even more than Stilpon the attributes of the Cynic with those of the Megaric. He was fearless in character, and uncontrouled in speech, delivering harsh criticisms without regard to offence given: he was also a great master of ingenious dialectic and puzzling controversy.135 His robust frame, grave deportment, and simplicity of life, inspired great respect; especially as he occupied a conspicuous position, and enjoyed political influence at Eretria. He is said to have thought meanly both of Plato and Xenokrates. We are told that Menedêmus, like Antisthenes and Stilpon, had doctrines of his own on the subject of predication. He disallowed all negative propositions, admitting none but affirmative: moreover even of the affirmative propositions, he disallowed all the hypothetical, approving only the simple and categorical.136
It is impossible to pronounce confidently respecting these doctrines, without knowing the reasons upon which they were grounded. Unfortunately these last have not been transmitted to us. But we may be very sure that there were reasons, sufficient or insufficient: and the knowledge of those reasons would have enabled us to appreciate more fully the state of the Greek mind, in respect to logical theory, in and before the year 300 B.C.
Distinction ascribed to Antisthenes between simple and complex objects. Simple objects undefinable.
Another doctrine, respecting knowledge and definition, is ascribed by Aristotle to “the disciples of Antisthenes and other such uninstructed persons”: it is also canvassed by Plato in the Theætêtus,137 without specifying its author, yet probably having Antisthenes in view. As far as we can make out a doctrine which both these authors recite as opponents, briefly and their own way, it is as follows:—“Objects must be distinguished into — 1. Simple or primary; and 2. Compound or secondary combinations of these simple elements. This last class, the compounds, may be explained or defined, because you can enumerate the component elements. By such analysis, and by the definition founded thereupon, you really come to know them — describe them — predicate about them. But the first class, the simple or primary objects, can only be perceived by sense and named: they cannot be analysed, defined, or known. You can only predicate about them that they are like such and such other things: e.g., silver, you cannot say what it is in itself, but only that it is like tin, or like something else. There may thus be a ratio and a definition of any compound object, whether it be an object of perception or of conception: because one of the component elements will serve as Matter or Subject of the proposition, and the other as Form or Predicate. But there can be no definition of any one of the component elements separately taken: because there is neither Matter nor Form to become the Subject and Predicate of a defining proposition.”
This opinion, ascribed to the followers of Antisthenes, is not in harmony with the opinion ascribed by Aristotle to Antisthenes himself (viz., That no propositions, except identical propositions, were admissible): and we are led to suspect that the first opinion must have been understood or qualified by its author in some manner not now determinable. But the second opinion, drawing a marked logical distinction between simple and complex Objects, has some interest from the criticisms of Plato and Aristotle: both of whom select, for the example illustrating the opinion, the syllable as the compound made up of two or more letters which are its simple constituent elements.
Remarks of Plato on this doctrine.
Plato refutes the doctrine,138 but in a manner not so much to prove its untruth, as to present it for a verbal incongruity. How can you properly say (he argues) that you know the compound AB, when you know neither A nor B separately? Now it may be incongruous to restrict in this manner the use of the words know — knowledge: but the distinction between the two cases is not denied by Plato. Antisthenes said — “I feel a simple sensation (A or B) and can name it, but I do not know it: I can affirm nothing about it in itself, or about its real essence. But the compound AB I do know, for I know its essence: I can affirm about it that it is compounded of A and B, and this is its essence.” Here is a real distinction: and Plato’s argument amounts only to affirming that it is an incorrect use of words to call the compound known, when the component elements are not known. Unfortunately the refutation of Plato is not connected with any declaration of his own counter-doctrine, for Theætêtus ends in a result purely negative.
Remarks of Aristotle upon the same.
Aristotle, in his comment on the opinion of Antisthenes, makes us understand better what it really is:—“Respecting simple essences (A or B), I cannot tell what they really are: but I can tell what they are like or unlike, i.e., I can compare them with other essences, simple or compound. But respecting the compound AB, I can tell what it really is: its essence is, to be compounded of A and B. And this I call knowing or knowledge.”139 The distinction here taken by Antisthenes (or by his followers) is both real and useful: Plato does not contest it: while Aristotle distinctly acknowledges it, only that among the simple items he ranks both Percepta and Concepta.
Later Grecian Cynics — Monimus — Krates — Hipparchia.
Monimus a Syracusan, and Krates a Theban, with his wife Hipparchia,140 were successors of Diogenes in the Cynic vein of philosophy: together with several others of less note. Both Monimus and Krates are said to have been persons of wealthy condition,141 yet their minds were so powerfully affected by what they saw of Diogenes, that they followed his example, renounced their wealth, and threw themselves upon a life of poverty; with nothing beyond the wallet and the threadbare cloak, but with fearless independence of character, free censure of every one, and indifference to opinion. “I choose as my country” (said Krates) “poverty and low esteem, which fortune cannot assail: I am the fellow-citizen of Diogenes, whom the snares of envy cannot reach.”142 Krates is said to have admonished every one, whether they invited it or not: and to have gone unbidden from house to house for the purpose of exhortation. His persistence in this practice became so obtrusive that he obtained the title of “the Door-Opener”.143 This feature, common to several other Cynics, exhibits an approximation to the missionary character of Sokrates, as described by himself in the Platonic Apology: a feature not found in any of the other eminent heads of philosophy — neither in Plato nor in Aristotle, Zeno, or Epikurus.
Zeno of Kitium in Cyprus.
Source notes
“Le fond de la chose” — the Ding an sich — is nothing but the name itself, divested of every fraction of meaning: it is titulus sine re. But the name being familiar, and having been always used with a meaning, still appears invested with much of the old emotional associations, even though it has been stripped of all its meaning by successive acts of abstraction. If you subtract from four, 1 + 1 + 1 + 1, there will remain zero. But by abstracting, from the subject man, all its predicates, real and possible, you cannot reduce it to zero. The name man always remains, and appears by old association to carry with it some meaning — though the meaning can no longer be defined.
This illusion is well pointed out in a valuable passage of Cabanis (Du Degré de Certitude de la Médecine, p. 61):—
“Je pourrois d’ailleurs demander ce qu’on entend par la nature et les causes premières des maladies. Nous connoissons de leur nature, ce que les faits en manifestent. Nous savons, par exemple, que la fièvre produit tels et tels changements: ou plutôt, c’est par ces changements qu’elle se montre à nos yeux: c’est par eux seuls qu’elle existe pour nous. Quand un homme tousse, crache du sang, respire avec peine, ressent une douleur de côté, a le pouls plus vite et plus dur, la peau plus chaude que dans l’état naturel — l’on dit qu’il est attaqué d’une pleurésie. Mais qu’est ce donc qu’une pleurésie? On vous répliquera que c’est une maladie, dans laquelle tous, ou presque tous, ces accidents se trouvent combinés. S’il en manque un ou plusieurs, ce n’est point la pleurésie, du moins la vraie pleurésie essentielle des écoles. C’est donc le concours de ces accidents qui la constitue. Le mot pleurésie ne fait que les retracer d’une manière plus courte. Ce mot n’est pas un être par lui-même: il exprime une abstraction de l’esprit, et réveille par un seul trait toutes les images d’un assez grand tableau.
“Ainsi lorsque, non content de connoître une maladie par ce qu’elle offre à nos sens, par ce qui seul la constitue, et sans quoi elle n’existeroit pas, vous demandez encore quelle est sa nature en elle-même, quelle est son essence — c’est comme si vous demandiez quelle est la nature ou l’essence d’un mot, d’une pure abstraction. Il n’y a donc pas beaucoup de justesse à dire, d’un air de triomphe, que les médecins ignorent même la nature de la fièvre, et que sans cesse ils agissent dans des circonstances, ou manient des instruments, dont l’essence leur est inconnue.”
133 Plato, Parmenidês, p. 131. Compare also Philêbus, p. 15, and Stallbaum’s Proleg. to the Parmenidês, pp. 46-47. The long commentary of Proklus (v. 100-110. pp. 670-682 of the edition of Stallbaum) amply attests the δυσκολίαν of the problem.
The argument of Parmenidês (in the dialogue called Parmenidês) is applied to the Platonic εἴδη and to τὰ μετέχοντα. But the argument is just as much applicable to attributes, genera, species: to all general predicates.
134 Aristot. Physic. i. 2, 185, b. 26-36.
Lykophron and some others anterior to Aristotle proposed to elude the difficulty, by ceasing to use the substantive verb as copula in predication: instead of saying Σωκράτης ἐστὶ λευκός, they said either Σωκράτης λευκός, simply, or Σωκράτης λελεύκωται.
This is a remarkable evidence of the difficulty arising, even in these early days of logic, about the logical function of the copula.
135 Diog. L. ii. 127-134. ἦν γὰρ καὶ ἐπικόπτης καὶ παῤῥησιαστής.
136 Diog. L. ii. 134.
137 Plato, Theætêt, pp. 201-202. Aristotel. Metaph. Η. 1043, b. 22.
138 Plato, Theætêt. ut suprâ.
139 Aristot. Metaphys. Η. 1043, b. 24-32, with the Scholia, p. 774, b. Br.
Mr. J. S. Mill observes, Syst. of Logic, i. 5, 6, p. 116, ed. 9:—“There is still another exceptional case, in which, though the predicate is the name of a class, yet in predicating it we affirm nothing but resemblance: the class being founded not on resemblance in any given particular, but on general unanalysable resemblance. The classes in question are those into which our simple sensations, or other simple feelings, are divided. Sensations of white, for instance, are classed together, not because we can take them to pieces, and say, they are alike in this, not alike in that but because we feel them to be alike altogether, though in different degrees. When therefore I say — The colour I saw yesterday was a white colour, or, The sensation I feel is one of tightness — in both cases the attribute I affirm of the colour or of the other sensation is mere resemblance: simple likeness to sensations which I have had before, and which have had that name bestowed upon them. The names of feelings, like other concrete general names, are connotative: but they connote a mere resemblance. When predicated of any individual feelings, the information they convey is that of its likeness to the other feelings which we have been accustomed to call by the same name.”
140 Hipparchia was a native of Maroneia in Thrace; born in a considerable station, and belonging to an opulent family. She came to Athens with her brother Mêtroklês, and heard both Theophrastus and Kratês. Both she and her brother became impressed with the strongest admiration for Kratês: for his mode of life, as well as for his discourses and doctrine. Rejecting various wealthy suitors, she insisted upon becoming his wife, both against his will and against the will of her parents. Her resolute enthusiasm overcame the reluctance of both. She adopted fully his hard life, poor fare, and threadbare cloak. She passed her days in the same discourses and controversies, indifferent to the taunts which were addressed to her for having relinquished the feminine occupations of spinning and weaving. Diogenes Laertius found many striking dicta or replies ascribed to her (ἄλλα μυρία τῆς φιλοσόφου vi. 96-98). He gives an allusion made to her by the contemporary comic poet Menander, who (as I before observed) handled the Cynics of his time as Aristophanes, Eupolis, &c., had handled Sokrates —
(vi. 93.)
141 Diog, L. vi. 82-88. Μόνιμος ὁ Κύων, Sext. Emp. adv. Mathem. vii. 48-88.
About Krates, Plutarch, De Vit. Aere Alieno, 7, p. 831 F.
142 Diog. L. vi. 93. ἔχειν δὲ πατρίδα ἀδοξίαν τε καὶ πενίαν, ἀνάλωτα τῇ τύχῃ: καὶ — Διογένους εἶναι πολίτης ἀνεπιβουλεύτου φθόνῳ. The parody or verses of Krates, about his city of Pera (the Wallet), vi. 85, are very spirited —
Πήρη τις πόλις ἐστὶ μέσῳ ἐνὶ οἴνοπι τύφῳ, &c.
Krates composed a collection of philosophical Epistles, which Diogenes pronounces to be excellent, and even to resemble greatly the style of Plato (vi. 98).
143 Diog. L. vi. 86, ἐκαλεῖτο δὲ θυρεπανοίκτης, διὰ τὸ εἰς πᾶσαν εἰσιέναι οἰκίαν καὶ νουθετεῖν. Compare Seneca, Epist. 29.