CHAPTER III.* (continued 1)
Project Gutenberg EPUB3 edition
Grote, George
Conclusion of Diodôrus — defended by Hobbes — Explanation given by Hobbes.
In what manner Diodorus stated and defended his opinion upon this point, we have no information. We know only that he placed affirmations respecting the future on the same footing as affirmations respecting the past: maintaining that our potential affirmation — May or May not be — respecting some future event, meant no more than it means respecting some past event, viz.: no inherent indeterminateness in the future sequence, but our ignorance of the determining conditions, and our inability to calculate their combined working.66 In regard to scientific method generally, this problem is of the highest importance: for it is only so far as uniformity of sequence prevails, that facts become fit matter for scientific study.67 Consistently with the doctrine of all-pervading uniformity of sequence, the definition of Hobbes gives the only complete account of the Impossible and Possible: i.e. an account such as would appear to an omniscient calculator, where May or May not merge in Will or Will not. According as each person falls short of or approaches this ideal standard — according to his knowledge and mental resource, inductive and deductive — will be his appreciation of what may be or may not be — as of what may have been or may not have been during the past. But such appreciation, being relative to each individual mind, is liable to vary indefinitely, and does not admit of being embodied in one general definition.
Besides the above doctrine respecting Possible and Impossible, there is also ascribed to Diodorus a doctrine respecting Hypothetical Propositions, which, as far as I comprehend it, appears to have been a correct one.68 He is also said to have reasoned against the reality of motion, renewing the arguments of Zeno the Eleate.
Reasonings of Diodôrus — respecting Hypothetical Propositions — respecting Motion. His difficulties about the Now of time.
But if he reproduced the arguments of Zeno, he also employed another, peculiar to himself. He admitted the reality of past motion: but he denied the reality of present motion. You may affirm truly (he said) that a thing has been moved: but you cannot truly affirm that any thing is being moved. Since it was here before, and is there now, you may be sure that it has been moved: but actual present motion you cannot perceive or prove. Affirmation in the perfect tense may be true, when affirmation in the present tense neither is nor ever was true: thus it is true to say — Helen had three husbands (Menelaus, Paris, Deiphobus): but it was never true to say — Helen has three husbands, since they became her husbands in succession.69 Diodorus supported this paradox by some ingenious arguments, and the opinion which he denied seems to have presented itself to him as involving the position of indivisible minima — atoms of body, points of space, instants of time. He admitted such minima of atoms, but not of space or time: and without such admission he could not make intelligible to himself the fact of present or actual motion. He could find no present Now or Minimum of Time; without which neither could any present motion be found. Plato in the Parmenidês70 professes to have found this inexplicable moment of transition, but he describes it in terms not likely to satisfy a dialectical mind: and Aristotle denying that the Now is any portion or constituent part of time, considers it only as a boundary of the past and future.71
Motion is always present, past, and future.
This opinion of Aristotle is in the main consonant with that of Diodorus; who, when he denied the reality of present motion, meant probably only to deny the reality of present motion apart from past and future motion. Herein also we find him agreeing with Hobbes, who denies the same in clearer language.72 Sextus Empiricus declares Diodorus to have been inconsistent in admitting past motion while he denied present motion.73 But this seems not more inconsistent than the doctrine of Aristotle respecting the Now of time. I know, when I compare a child or a young tree with what they respectively were a year ago, that they have grown: but whether they actually are growing, at every moment of the intervening time, is not ascertainable by sense, and is a matter of probable inference only.74 Diodorus could not understand present motion, except in conjunction with past and future motion, as being the common limit of the two: but he could understand past motion, without reference to present or future. He could not state to himself a satisfactory theory respecting the beginning of motion: as we may see by his reasonings distinguishing the motion of a body all at once in its integrity, from the motion of a body considered as proceeding from the separate motion of its constituent atoms — the moving atoms preponderating over the atoms at rest, and determining them to motion,75 until gradually the whole body came to move.
The same argument re-appears in another example, when he argues — The wall does not fall while its component stones hold together, for then it is still standing: nor yet when they have come apart, for then it has fallen.76
Stilpon of Megara — His great celebrity.
That Diodorus was a person seriously anxious to solve logical difficulties, as well as to propose them, would be incontestably proved if we could believe the story recounted of him — that he hanged himself because he could not solve a problem proposed by Stilpon in the presence of Ptolemy Soter.77 But this story probably grew out of the fact, that Stilpon succeeded Diodorus at Megara, and eclipsed him in reputation. The celebrity of Stilpon, both at Megara and at Athens (between 320-300 B.C., but his exact date can hardly be settled), was equal, if not superior, to that of any contemporary philosopher. He was visited by listeners from all parts of Greece, and he drew away pupils from the most renowned teachers of the day; from Theophrastus as well as the others.78 He was no less remarkable for fertility of invention than for neatness of expression. Two persons, who came for the purpose of refuting him, are said to have remained with him as admirers and scholars. All Greece seemed as it were looking towards him, and inclining towards the Megaric doctrines.79 He was much esteemed both by Ptolemy Soter and by Demetrius Poliorkêtes, though he refused the presents and invitations of both: and there is reason to believe that his reputation in his own day must have equalled that of either Plato or Aristotle in theirs. He was formidable in disputation; but the nine dialogues which he composed and published are characterised by Diogenes as cold.80
Menedêmus and the Eretriacs.
Contemporary with Stilpon (or perhaps somewhat later) was Menedêmus of Eretria, whose philosophic parentage is traced to Phædon. The name of Phædon has been immortalised, not by his own works, but by the splendid dialogue of which Plato has made him the reciter. He is said (though I doubt the fact) to have been a native of Elis. He was of good parentage, a youthful companion of Sokrates in the last years of his life.81 After the death of Sokrates, Phædon went to Elis, composed some dialogues, and established a succession or sect of philosophers — Pleistanus, Anchipylus, Moschus. Of this sect Menedêmus,82 contemporary and hearer of Stilpon, became the most eminent representative, and from him it was denominated Eretriac instead of Eleian. The Eretriacs, as well as the Megarics, took up the negative arm of philosophy, and were eminent as puzzlers and controversialists.
Open speech and licence of censure assumed by Menedêmus.
But though this was the common character of the two, in a logical point of view, yet in Stilpon, as well as Menedêmus, other elements became blended with the logical. These persons combined, in part at least, the free censorial speech of Antisthenes with the subtlety of Eukleides. What we hear of Menedêmus is chiefly his bitter, stinging sarcasms, and clever repartees. He did not, like the Cynic Diogenes, live in contented poverty, but occupied a prominent place (seemingly under the patronage of Antigonus and Demetrius) in the government of his native city Eretria. Nevertheless he is hardly less celebrated than Diogenes for open speaking of his mind, and carelessness of giving offence to others.83
ANTISTHENES.
Source notes
66 The same doctrine as that of the Megaric Diodorus is declared by Hobbes in clear and explicit language (First Grounds of Philosophy, ii. 10, 4-5):—“That is an impossible act, for the production of which there is no power plenary. For seeing plenary power is that in which all things concur which are requisite for the production of an act, if the power shall never be plenary, there will always be wanting some of those things, without which the act cannot be produced. Wherefore that act shall never be produced: that is, that act is impossible. And every act, which is not impossible, is possible. Every act therefore which is possible, shall at some time or other be produced. For if it shall never be produced, then those things shall never concur which are requisite for the production of it; wherefore the act is impossible, by the definition; which is contrary to what was supposed.
“A necessary act is that, the production of which it is impossible to hinder: and therefore every act that shall be produced, shall necessarily be produced; for that it shall not be produced is impossible, because, as has already been demonstrated, every possible act shall at some time be produced. Nay, this proposition — What shall be shall be — is as necessary a proposition as this — A man is a man.
“But here, perhaps, some man will ask whether those future things which are commonly called contingents, are necessary. I say, then, that generally all contingents have their necessary causes, but are called contingents, in respect of other events on which they do not depend — as the rain which shall be to-morrow shall be necessary, that is, from necessary causes; but we think and say, it happens by chance, because we do not yet perceive the causes thereof, though they exist now. For men commonly call that casual or contingent, whereof they do not perceive the necessary cause: and in the same manner they use to speak of things past, when not knowing whether a thing be done or not, they say, It is possible it never was done.
“Wherefore all propositions concerning future things, contingent or not contingent, as this — It will rain to-morrow, or To-morrow the sun will rise — are either necessarily true or necessarily false: but we call them contingent, because we do not yet know whether they be true or false; whereas their verity depends not upon our knowledge, but upon the foregoing of their causes. But there are some, who, though they will confess this whole proposition — To-morrow it will either rain or not rain — to be true, yet they will not acknowledge the parts of it, as, To-morrow it will rain, or To-morrow it will not rain, to be either of them true by itself; because (they say) neither this nor that is true determinately. But what is this true determinately, but true upon our knowledge or evidently true? And therefore they say no more but that it is not yet known whether it be true or not; but they say it more obscurely, and darken the evidence of the truth with the same words by which they endeavour to hide their own ignorance.”
67 The reader will find this problem admirably handled in Mr. John Stuart Mill’s System of Logic, Book iii. ch. 21, and Book vi. chs. 2 and 8; also in the volume of Professor Bain on the Emotions and the Will, Chapter on Belief.
68 Sextus Emp. Pyrrhon. Hypotyp. ii. pp. 110-115. ἀληθὲς συνημμένον. Adv. Mathemat. viii. 112. Philo maintained that an hypothetical proposition was true, if both the antecedent and consequent were true — “If it be day, I am conversing”. Diodorus denied that this proposition, as an Hypothetical proposition, was true: since the consequent might be false, though the antecedent were true. An Hypothetical proposition was true only when, assuming the antecedent to be true, the consequent must be true also.
69 Sextus Empir. adv. Mathemat. x. pp. 85-101.
70 Plato, Parmenidês, p. 156 D-E. Πότ’ οὖν, μεταβάλλει; οὔτε γὰρ ἑστὸς ἂν οὔτε κενούμενον μετάβαλλοι, οὔτε ἐν χρόνῳ ὄν. (Here Plato adverts to the difficulties attending the supposition of actual μεταβολή, as Diodorus to those of actual κίνησις. Next we have Plato’s hypothesis for getting over the difficulties.) Ἆρ’ οὖν ἐστί τὸ ἄτοπον τοῦτο, ἐν ᾦ τότ’ ἂν εἴη ὅτε μεταβάλλει; Τὸ ποῖον δή; Τὸ ἐξαίφνης· ἡ ἐξαίφνης αὔτη φύσις ἄτοπος τις ἐγκάθηται μεταξὺ τῆς κινήσεως τε καὶ στάσεως, ἐν χρόνῳ οὐδενὶ οὖσα, καὶ εἰς ταύτην δὴ καὶ ἐκ ταύτης τό τε κινούμενον μεταβάλλει ἐπὶ τὸ ἐστάναι καὶ τὸ ἐστὸς ἐπὶ τὸ κινεῖσθαι.
Diodorus could not make out this φύσις ἄτοπος which Plato calls τὸ ἐξαίφνης.
71 To illustrate this apparent paradox of Diodorus, affirming past motion, but denying present motion, we may compare what is said by Aristotle about the Now or Point of Present Time — that it is not a part, but a boundary between Past and Future.
Aristot. Physic. iv. p. 218, a. 4-10. τοῦ δὲ χρόνον τὰ μὲν γέγονε, τὰ δὲ μέλλει, ἐστι δ’ οὐδὲν, ὄντος μεριστοῦ· τὸ δὲ νῦν οὐ μέρος — τὸ δὲ νῦν πέρας ἔστι (a. 24) — p. 222, a. 10-20-223, a. 20. ὁ δὲ χρόνος καὶ ἡ κίνησις ἅμα κατά τε δύναμιν καὶ κατ’ ἐνεργείαν.
Which doctrine is thus rendered by Harris in his Hermes, ch. vii. pp. 101-103-105:—“Both Points and Nows being taken as Bounds, and not as Parts, it will follow that in the same manner as the same point may be the end of one line and the beginning of another — so the same Now may be the End of one time, and the beginning of another.… I say of these two times, that with respect to the Now, or Instant which they include, the first of them is necessarily Past time, as being previous to it: the other is necessarily Future, as being subsequent.… From the above speculations, there follow some conclusions, which may be called paradoxes, till they have been attentively considered. In the first place, there cannot (strictly speaking) be any such thing as Time Present. For if all Time be transient, as well as continuous, it cannot like a line be present altogether, but part will necessarily be gone and part be coming. If therefore any portion of its continuity were to be present at once, it would so far quit its transient nature, and be Time no longer. But if no portion of its continuity can be thus present, how can Time possibly be present, to which such continuity is essential?” — Compare Sir William Hamilton’s Discussions on Philosophy, p. 581.
72 Hobbes, First Grounds of Philosophy, ii. 8, 11. “That is said to be at rest which, during any time, is in one place; and that to be moved, or to have been moved, which whether it be now at rest or moved, was formerly in another place from that which it is now in. From which definition it may be inferred, first, that whatsoever is moved has been moved: for if it still be in the same place in which it was formerly, it is at rest: but if it be in another place, it has been moved, by the definition of moved. Secondly, that what is moved, will yet be moved: for that which is moved, leaveth the place where it is, and consequently will be moved still. Thirdly, that whatsoever is moved, is not in one place during any time, how little soever that may be: for by the definition of rest, that which is in one place during any time, is at rest. … From what is above demonstrated — namely, that whatsoever is moved, has also been moved, and will be moved: this also may be collected, That there can be no conception of motion without conceiving past and future time.”
73 Sext. Emp. adv. Mathem. x. pp. 91-97-112-116.
74 See this point touched by Plato in Philêbus, p. 43 B.
75 Sext. Emp. adv. Mathem. x. 113. κίνησις κατ’ εἰλικρίνειαν … κίνησις κατ’ ἐπικράτειαν. Compare Zeller, Die Philosophie der Griech. ii. p. 191, ed. 2nd.
76 Sext. Emp. adv. Mathem. x. pp. 346-348.
77 Diog. L. ii. 112.
78 This is asserted by Diogenes upon the authority of Φίλιππος ὁ Μεγρικός, whom he cites κατὰ λέξιν. We do not know anything about Philippus.
Menedêmus, who spoke with contempt of the other philosophers, even of Plato and Xenokrates, admired Stilpon (Diog. L. ii. 134).
79 The phrase of Diogenes is here singular, and must probably have been borrowed from a partisan — ὥστε μικροῦ δεῆσαι πᾶσαν τὴν Ἑλλάδα ἀφορῶσαν εἰς αὐτὸν μεγαρίσαι. Στιλπον εὑρεσιλογίᾳ καὶ σοφιστείᾳ προῆγε τοὺς ἄλλους — κομψότατος (Diog. L. ii. 113-115).
80 Diog. L. ii. 119-120. ψυχροί.
81 The story given by Diogenes L. (ii. 31 and 106; compare Aulus Gellius, ii. 18) about Phædon’s adventures antecedent to his friendship with Sokrates, is unintelligible to me. “Phædon was made captive along with his country (Elis), sold at Athens, and employed in a degrading capacity; until Sokrates induced Alkibiades or Kriton to pay his ransom.” Now, no such event as the capture of Elis, and the sale of its Eupatrids as slaves, happened at that time: the war between Sparta and Elis (described by Xenophon, Hell. iii. 2, 21 seq.) led to no such result, and was finished, moreover, after the death of Sokrates. Alkibiades had been long in exile. If, in the text of Diogenes, where we now read Φαίδων, Ἥλειος, τῶν εὐπατριδῶν — we were allowed to substitute Φαίδων, Μήλιος, τῶν εὐπατριδῶν — the narrative would be rendered consistent with known historical facts. The Athenians captured the island of Melos in 415 B.C., put to death the Melians of military age, and sold into slavery the younger males as well as the females (Thucyd. v. 116). If Phædon had been a Melian youth of good family, he would have been sold at Athens, and might have undergone the adventures narrated by Diogenes. We know that Alkibiades purchased a female Melian as slave (Pseudo-Andokides cont. Alkibiad.).
82 Diog. L. ii. 105, 126 seq. There was a statue of Menedêmus in the ancient stadium of Eretria: Diogenes speaks as if it existed in his time, and as if he himself had seen it (ii. 132).
83 Diog. L. ii. 129-142.