From Chapter IX., Leukippos of Miletos
173. Leucippus and the Eleatics
Leukippos and Demokritos have decided about all things practically by the same method and on the same theory, taking as their starting-point what naturally comes first. Some of the ancients had held that the real must necessarily be one and immovable; for, said they, empty space is not real, and motion would be impossible without empty space separated from matter; nor, further, could reality be a many, if there were nothing to separate things. And it makes no difference if any one holds that the All is not continuous, but discrete, with its part in contact (the Pythagorean view), instead of holding that reality is many, not one, and that there is empty space. For, if it is divisible at every point there is no one, and therefore no many, and the Whole is empty (Zeno); while, if we say it is divisible in one place and not in another, this looks like an arbitrary fiction; for up to what point and for what reason will part of the Whole be in this state and be full, while the rest is discrete? And, on the same grounds, they further say that there can be no motion. In consequence of these reasonings, then, going beyond perception and overlooking it in the belief that we ought to follow the argument, they say that the All is one and immovable (Parmenides), and some of them that it is infinite (Melissos), for any limit would be bounded by empty space. This, then, is the opinion they expressed about the truth, and these are the reasons which led them to do so. Now, so far as arguments go, this conclusion does seem to follow; but, if we appeal to facts, to hold such a view looks like madness. No one who is mad is so far out of his senses that fire and ice appear to him to be one; it is only things that are right, and things that appear right from habit, in which madness makes some people see no difference.
Leukippos, however, thought he had a theory which was in harmony with sense, and did not do away with coming into being and passing away, nor motion, nor the multiplicity of things. He conceded this to experience, while he conceded, on the other hand, to those who invented the One that motion was impossible without the void, that the void was not real, and that nothing of what was real was not real. "For," said he, "that which is strictly speaking real is an absolute plenum; but the plenum is not one. On the contrary, there are an infinite number of them, and they are invisible owing to the smallness of their bulk. They move in the void (for there is a void); and by their coming together they effect coming into being; by their separation, passing away."
In this passage Zeno and Melissos are not named, but the reference to them is unmistakable. The argument of Zeno against the Pythagoreans is clearly given; and Melissos was the only Eleatic who made reality infinite, a point which is distinctly mentioned. We are therefore justified by Aristotle's words in explaining the genesis of Atomism and its relation to Eleaticism as follows. Zeno had shown that all pluralist systems yet known, and especially Pythagoreanism, were unable to stand before the arguments from infinite divisibility which he adduced. Melissos had used the same argument against Anaxagoras, and had added, as a reductio ad absurdum, that, if there were many things, each one of them must be such as the Eleatics held the One to be. To this Leukippos answers, "Why not? " He admitted the force of Zeno's arguments by setting a limit to divisibility, and to each of the "atoms " which he thus arrived at he ascribed all the predicates of the Eleatic One; for Parmenides had shown that if it is, it must have these predicates somehow. The same view is implied in a passage of Aristotle's Physics.16 "Some," we are there told, "surrendered to both arguments, to the first, the argument that all things are one, if the word is is used in one sense only (Parmenides), by affirming the reality of what is not; to the second, that based on dichotomy (Zeno), by introducing indivisible magnitudes." Finally, it is only by regarding the matter in this way that we can attach any meaning to another statement of Aristotle's that Leukippos and Demokritos, as well as the Pythagoreans, virtually make all things out of numbers.17 Leukippos, in fact, gave the Pythagorean monads the character of the Parmenidean One.
13. The words ὡς δοκεῖ do not imply assent to the view introduced by them; indeed they are constantly used in reference to beliefs which the writer does not accept. The translation "methinks" in Gomperz, Greek Thinkers, vol. i. p. 345, is therefore most misleading, and there is no justification for Brieger's statement (Hermes, xxxvi. p. 165) that Theophrastos dissents from Aristotle's view as given in the passage about to be quoted.
14. This prejudice is apparent all through Gomperz's Greek Thinkers, and seriously impairs the value of that fascinating, though somewhat imaginative work. It is amusing to notice that Brieger, from the same point of view, regards the custom of making Anaxagoras the last of the Presocratics as due to theological prepossessions (Hermes, xxxvi. p. 185).
15. Arist. De gen. corr. A, 8. 324 b 35 (R. P. 193).
16. Arist. Phys. A, 3. 187 a 1 (R. P. 134 b).
17. Arist. De caelo, Γ, 4. 303 a 8, τρόπον γάρ τινα καὶ οὗτοι (Λεύκιππος καὶ Δημόκριτος) πάντα τὰ ὄντα ποιοῦσιν ἀριθμοὺς καὶ ἐξ ἀριθμῶν. This also serves to explain the statement of Herakleides attributing the theory of corporeal ὄγκοι to the Pythagorean Ekphantos of Syracuse (above, p. 291, n. 3).
Created for Peithô's Web from Early Greek Philosophy by John Burnet, 3rd edition (1920). London: A & C Black Ltd. Burnet's footnotes have been converted to chapter endnotes. Greek unicode text entered with Peithô's Younicoder.
Web design by Larry Clark and RSBoyes (Agathon). Peithô's Web gratefully acknowledges the assistance of Anthony Beavers in the creation of this web edition of Burnet. Please send comments to: