We shall not dwell here on the three other arguments of Zeno. We have
examined them elsewhere. It is enough to point out that they all consist
in applying the movement to the line traversed, and supposing that what
is true of the line is true of the movement. The line, for example, may
be divided into as many parts as we wish, of any length that we wish,
and it is always the same line. From this we conclude that we have the
right to suppose the movement articulated as we wish, and that it is
always the same movement. We thus obtain a series of absurdities that
all express the same fundamental absurdity. But the possibility of
applying the movement _to_ the line traversed exists only for an
observer who keeping outside the movement and seeing at every instant
the possibility of a stop, tries to reconstruct the real movement with
these possible immobilities. The absurdity vanishes as soon as we adopt
by thought the continuity of the real movement, a continuity of which
every one of us is conscious whenever he lifts an arm or advances a
step. We feel then indeed that the line passed over between two stops is
described with a single indivisible stroke, and that we seek in vain to
practice on the movement, which traces the line, divisions
corresponding, each to each, with the divisions arbitrarily chosen of
the line once it has been traced. The line traversed by the moving body
lends itself to any kind of division, because it has no internal
organization. But all movement is articulated inwardly. It is either an
indivisible bound (which may occupy, nevertheless, a very long duration)
or a series of indivisible bounds. Take the articulations of this
movement into account, or give up speculating on its nature.
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