'suddenness.' This idea of 'suddenness' is based upon the contradiction
which is involved in supposing that anything can be in two places at once.
It is a mere fiction; and we may observe that similar antinomies have led
modern philosophers to deny the reality of time and space. It is not the
infinitesimal of time, but the negative of time. By the help of this
invention the conception of change, which sorely exercised the minds of
early thinkers, seems to be, but is not really at all explained. The
difficulty arises out of the imperfection of language, and should therefore
be no longer regarded as a difficulty at all. The only way of meeting it,
if it exists, is to acknowledge that this rather puzzling double conception
is necessary to the expression of the phenomena of motion or change, and
that this and similar double notions, instead of being anomalies, are among
the higher and more potent instruments of human thought.

The processes by which Parmenides obtains his remarkable results may be
summed up as follows: (1) Compound or correlative ideas which involve each
other, such as, being and not-being, one and many, are conceived sometimes
in a state of composition, and sometimes of division: (2) The division or
distinction is sometimes heightened into total opposition, e.g. between one
and same, one and other: or (3) The idea, which has been already divided,
is regarded, like a number, as capable of further infinite subdivision:
(4) The argument often proceeds 'a dicto secundum quid ad dictum
simpliciter' and conversely: (5) The analogy of opposites is misused by
him; he argues indiscriminately sometimes from what is like, sometimes from
what is unlike in them: (6) The idea of being or not-being is identified
with existence or non-existence in place or time: (7) The same ideas are
regarded sometimes as in process of transition, sometimes as alternatives
or opposites: (8) There are no degrees or kinds of sameness, likeness,
difference, nor any adequate conception of motion or change: (9) One,
being, time, like space in Zeno's puzzle of Achilles and the tortoise, are