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overtaken by the quicker; for that which is pursuing must
first reach the point from which that which is fleeing started,
so that the slower must necessarily always be some distance
ahead.’ 1
III. The Arroiu.
‘ If, says Zeno, everything is either at rest or moving when
it occupies a space equal (to itself), while the objèct moved is
always in the instant (ean 8’ del to tyepopevov kv rco vvv, in
the now), the moving arrow is unmoved.’ 2
I agree in Brochard’s interpretation of this passage, 3 from
which Zeller 4 would banish rj Kivenai, ‘ or is moved ’. The
argument is this. It is strictly impossible that the arrow can
move in the instant, supposed indivisible, for, if it changed its
position, the instant would be at once divided. Now the
moving object is, in the instant, either at rest or in motion ;
but, as it is not in motion, it is at rest, and as, by hypothesis,
time is composed of nothing but instants, the moving object is
always at rest. This interpretation has the advantage of
agreeing with that of Simplicius, 5 which seems preferable
to that of Themistius 6 on which Zeller relies.
IV. The Stadium. I translate the first two sentences of
Aristotle’s account 7 :
‘ The fourth is the argument concerning the two rows of
bodies each composed of an equal number of bodies of equal
size, which pass one another on a race-course as they proceed
with equal velocity in opposite directions, one row starting
from the end of the course and the other from the middle.
This, he thinks, involves the conclusion that half a given time
is equal to its double. The fallacy of the reasoning lies in
the assumption that an equal magnitude occupies an equal
time in passing with equal velocity a magnitude that is in
motion and a magnitude that is at rest, an assumption which
is false.’
Then follows a description of the process by means of
1 Aristotle, Phys. vi. 9, 289 b 14. 2 Ih. 289 b 5-7.
3 Y. Brochard, Etudes de Philosophie ancienne et de Philosophie moderne,
Paris 1912, p. 6.
4 Zeller, i 5 , p. 599. 5 Simpl. in Phys., pp. 1011-12, Diels.
6 Them, {ad loc., p. 392 Sp., p. 199 Sch.)
7 Phys, vi, 9, 239 b 33-240 a 18.