Hegel's Lectures on the History of Philosophy: Volume 2 (of 3)Hegel, Georg Wilhelm Friedrich
Philosophy
Hegel's Lectures on the History of Philosophy: Volume 2 (of 3)
Hegel, Georg Wilhelm Friedrich
Philosophy -- History
Now, speaking generally, this is the method of Scepticism, and it
is most important. Because the sceptical conscience demonstrates
that in all that is immediately accepted there is nothing secure and
absolute, the Sceptics have taken in hand all particular determinations
of the individual sciences, and have shown that they are not fixed.
The further details of this application to the different sciences do
not concern us here: this far-seeing power of abstraction is also
requisite in order to recognize these determinations of negation or
of opposition everywhere present in all concrete matter, and in all
that is thought, and to find in this determinate its limits. Sextus,
for example, takes up the individual sciences concretely, thereby
demonstrating much capacity for abstraction, and he shows in all their
determinations the opposite of themselves. Thus he sets the definitions
of mathematics against one another, and that not externally, but as
they are in themselves; he lays hold of the fact (adv. Math. III.
20-22) that there is said to be a point, space, line, surface, one,
&c. We unquestioningly allow the point to rank as a simple unit in
space, according to which it has no dimension; but if it has no
dimension, it is not in space, and therefore is no longer a point. On
the one hand it is the negation of space, and, on the other, inasmuch
as it is the limit of space, it touches space. Thus this negation of
space participates in space, itself occupies space, and thus it is in
itself null, but at the same time it is also in itself a dialectic.
Scepticism has thus also treated of ideas which are, properly speaking,
speculative, and demonstrated their importance; for the demonstration
of the contradiction in the finite is an essential point in the
speculatively philosophic method.
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