On Sameness and Identity: A Psychological Study: Being a Contribution to the Foundations of a Theory of KnowledgeFullerton, George Stuart
Philosophy
On Sameness and Identity: A Psychological Study: Being a Contribution to the Foundations of a Theory of Knowledge
Fullerton, George Stuart
Knowledge, Theory of
SEC. 25. The reasoning in the Platonic Dialogues is very frequently
not above suspicion; but it is not easy to find anywhere such a nest
of paralogisms as we have in the Parmenides. How far Plato was in
earnest in all this quibbling, and what was his aim, I will not pretend
to say. He has, however, very well illustrated the possibilities of
equivocation in juggling with samenesses, and I shall quote a bit
of the argument concerning the one and the many to show how readily
this is done. Almost any part of the dialogue would do, but I choose
the first bout between Parmenides and Aristoteles. I take Professor
Jowett's version:[34]
[34] The Dialogues of Plato. N. Y., 1878. Vol. III, p. 255.
Parmenides proceeded: If one is, he said, the one cannot be many?
Impossible.
Then the one cannot have parts, and cannot be a whole?
How is that?
Why, the part would surely be the part of a whole?
Yes.
And that of which no part is wanting, would be a whole?
Certainly.
Then, in either case, one would be made up of parts; both as being a
whole, and also as having parts?
Certainly.
And in either case, the one would be many, and not one?
True.
But, surely, one ought to be not many, but one?
Surely.
Then, if one is to remain one, it will not be a whole, and will not
have parts?
No.
And if one has no parts, it will have neither beginning, middle, nor
end; for these would be parts of one?
Right.
But then, again, a beginning and an end are the limits of everything?
Certainly.
Then the one, neither having beginning nor end, is unlimited?
Yes, unlimited.
And therefore formless, as not being able to partake either of round or
straight.
How is that?
Why, the round is that of which all the extreme points are equidistant
from the centre?
Yes.
And the straight is that of which the middle intercepts the extremes?
True.
Then the one would have parts, and would be many, whether it partook of
a straight or of a round form?
Assuredly.
But having no parts, one will be neither straight nor round?
Right.
Then, being of such a nature, one cannot be in any place, for it cannot
be either in another or in itself.
How is that?
Because, if one be in another, it will be encircled in that other in
which it is contained, and will touch it in many places; but that which
is one and indivisible, and does not partake of a circular nature,
cannot be touched by a circle in many places.
Certainly not.
And one being in itself, will also contain itself, and cannot be other
than one, if in itself; for nothing can be in anything which does not
contain it.
Impossible.
But then, is not that which contains other than that which is
contained? for the same whole cannot at once be affected actively and
passively; and one will thus be no longer one, but two?
True.
Then one cannot be anywhere, either in itself or in another?
No.
Further consider, whether that which is of such a nature can have
either rest or motion.
Why not?
Public-domain text, read in full here on John Shaqi.
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