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). I am sorry that I cannot agree with either side; but the
bitterness of the disputants bears witness to the fundamental
importance of the questions raised by the early Greek philosophers.
Footnote 937:
Arist. _de Gen. Corr._ Α, 8. 324 b 35 (R. P. 193).
It is true that 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, by way of _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_.[938] “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 to the effect that Leukippos and Demokritos, as
well as the Pythagoreans, virtually make all things out of numbers.[939]
Leukippos, in fact, gave the Pythagorean monads the character of the
Parmenidean One.
Footnote 938:
Arist. _Phys._ Α, 3. 187 a 1 (R. P. 134 b).
Footnote 939:
Arist. _de Caelo_, Γ, 4. 303 a 8, τρόπον γάρ τινα καὶ οὕτοι (Λεύκιππος
καὶ Δημόκριτος) πάντα τὰ ὄντα ποιοῦσιν ἀριθμοὺς καὶ ἐξ ἀριθμῶν. This
also serves to explain what Herakleides may have meant by attributing
the theory of corporeal ὄγκοι to the Pythagorean Ekphantos of Syracuse
(above, p. 338, _n._ 794).
[Sidenote: Atoms.]
Public-domain text, read in full here on John Shaqi.
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