Hegel's Lectures on the History of Philosophy: Volume 2 (of 3)
Georg Hegel · en
are identical, but activity, in so far as it is activity of this in
this” (what is moved), “and the activity of this from this” (what
moves), “is different as regards its conception (τῷ λόγῳ).” Aristotle
subsequently deals with the infinite (Phys. III. 4-8).
“In like manner it is necessary,” says Aristotle (Phys. IV. 1-5), “that
the natural philosopher should consider the subject of place (τόπος).”
Here come various definitions and determinations under which space
generally and particular space or place appear. “Is place a body? It
cannot be a body, for then there would be in one and the same, two
bodies. Again, if it is the place and receptacle (χώρα) of this body,
it is evident that it is so also of the superficies and the remaining
boundaries; but the same reasoning applies to these, for where the
superficies of water were before, there will now be the superficies
of air,” and thus the places of both superficies would be in one.
“But in truth there is no difference between the point and the place
of the point, so that if place is not different from the other forms
of limitation, neither is it something outside of them. It is not an
element, and neither consists of corporeal nor of incorporeal elements,
for it possesses magnitude, but not body. The elements of bodies
are, however, themselves bodies, and no magnitude is produced from
intelligible elements. Place is not the material of things, for nothing
consists of it—neither the form, nor the Notion, nor the end, nor the
moving cause; and yet it is something.” Aristotle now determines place
as the first unmoved limit of that which is the comprehending: it
comprehends the body whose place it is, and has nothing of the thing
in itself; yet it co-exists with the thing, because the limits and
the limited co-exist. The uttermost ends of what comprehends and of
what is comprehended are identical, for both are bounds; but they are
not bounds of the same, for form is the boundary of the thing, place
is that of the embracing body. Place, as the comprehending, remains
unchangeably passive while the thing which is moved is moved away; from
which we see that place must be separable from the thing. Or place,
according to Aristotle, is the boundary, the negation of a body, the
assertion of difference, of discretion; but it likewise does not merely
belong to this body, but also to that which comprehends. There is thus
no difference at all, but unchangeable continuity. “Place is neither
the universal (κοινός) in which all bodies are” (heaven), “nor the
particular (ἴδιος), in which they are as the first (πρώτῳ).” Aristotle
also speaks of above and below in space, in relation to heaven as that
which contains, and earth as what is beneath. “That body, outside of
which is a comprehending body, is in space. But the whole heavens are
not anywhere, since no body comprehends them. Outside the universe
nothing is, and hence everything is in the heavens, for the heavens
are the whole.