process of subdivision is then repeated, so that each
phase of the k.sana itself consists of three
subphases, giving in all nine subphases. But here the
process of division ends, the subphases being
considered partless and indivisible, that is, tempo
ral minims. Thus the subphase can be considered a
true atom of time, since it exists outside the flow
of time, in the manner of Whitehead's epochs.(ll)
The natures of these atomisms in pre-Maadhyamika
Indian thought have two important implications.
First, they imply acceptance of the principle of
discontinuity as it applies to our notions of space
and time. This is just what it means to speak of
minims of space (paramaa.nu) and time (k.sana
subphase). That there can be a least possible length
and a least po ssible duration means that space and
time are not continuous but rather discontinuous--for
example, time does not flow like an electric clock,
but rather it jumps like a hand-wound clock. This is
an inescapable consequence of saying that the
paramaa.nu is of definite- but indivisible extension,
and that the k.sana subphase is of definite but
indivisible duration.
The second implication of these atomisms is that
their proponents implicitly accepted the notion of
spatiotemporal continuity. It is one thing to say
that the atoms of space or time are indivisible and
partless; it is quite another to say that they are
dimensionless and nonadditive. The former assertion
might be seen as a counter to the argument of the
opponent of atomism that since a
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physical atom is of definite extension. it must
itself be divisible and so consist of parts. To this
the atomist replies by arbitrarily establishing the
measure of the atom as the least possible extension.
But the second assertion. that the atom is
dimensionless and nonadditive. goes too far. It
implicitly accepts the opponent's thesis of infinite
divisibility. The property of nonadditiveness
properly applies only to true geometrical points on a
line. And with this notion comes as well the idea
that between any two points on a line there are an
infinite number of points; that is, the line