Full text: From Thales to Euclid (Volume 1)

276 
ZENO OF ELEA 
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.
	        
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