ause the one is the same with the others and other than the
others, on either of these two grounds, or on both of them, it will be
both like and unlike the others?
Certainly.
And in the same way as being other than itself and the same with itself,
on either of these two grounds and on both of them, it will be like and
unlike itself?
Of course.
Again, how far can the one touch or not touch itself and
others?--consider.
I am considering.
The one was shown to be in itself which was a whole?
True.
And also in other things?
Yes.
In so far as it is in other things it would touch other things, but in
so far as it is in itself it would be debarred from touching them, and
would touch itself only.
Clearly.
Then the inference is that it would touch both?
It would.
But what do you say to a new point of view? Must not that which is to
touch another be next to that which it is to touch, and occupy the place
nearest to that in which what it touches is situated?
True.
Then the one, if it is to touch itself, ought to be situated next to
itself, and occupy the place next to that in which itself is?
It ought.
And that would require that the one should be two, and be in two places
at once, and this, while it is one, will never happen.
No.
Then the one cannot touch itself any more than it can be two?
It cannot.
Neither can it touch others.
Why not?
The reason is, that whatever is to touch another must be in separation
from, and next to, that which it is to touch, and no third thing can be
between them.
True.
Two things, then, at the least are necessary to make contact possible?
They are.
And if to the two a third be added in due order, the number of terms
will be three, and the contacts two?
Yes.
And every additional term makes one additional contact, whence it
follows that the contacts are one less in number than the terms; the
first two terms exceeded the number of contacts by one, and the whole
number of terms exceeds the whole number of contacts by one in like
manner; and for every one which is afterwards added to the number of
terms, one contact is added to the contacts.
True.
Whatever is the whole number of things, the contacts will be always one
less.
True.
But if there be only one, and not two, there will be no contact?
How can there be?
And do we not say that the others being other than the one are not one
and have no part in the one?
Tru
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