Plato restricts the conception of Not-being to difference. Man is a
rational animal, and is not--as many other things as are not included
under this definition. He is and is not, and is because he is not.
Besides the positive class to which he belongs, there are endless
negative classes to which he may be referred. This is certainly
intelligible, but useless. To refer a subject to a negative class is
unmeaning, unless the 'not' is a mere modification of the positive, as
in the example of 'not honourable' and 'dishonourable'; or unless the
class is characterized by the absence rather than the presence of a
particular quality.
Nor is it easy to see how Not-being any more than Sameness or Otherness
is one of the classes of Being. They are aspects rather than classes of
Being. Not-being can only be included in Being, as the denial of some
particular class of Being. If we attempt to pursue such airy phantoms
at all, the Hegelian identity of Being and Not-being is a more apt and
intelligible expression of the same mental phenomenon. For Plato has
not distinguished between the Being which is prior to Not-being, and the
Being which is the negation of Not-being (compare Parm.).
But he is not thinking of this when he says that Being comprehends
Not-being. Again, we should probably go back for the true explanation
to the influence which the Eleatic philosophy exercised over him. Under
'Not-being' the Eleatic had included all the realities of the sensible
world. Led by this association and by the common use of language, which
has been already noticed, we cannot be much surprised that Plato should
have made classes of Not-being. It is observable that he does not
absolutely deny that there is an opposite of Being. He is inclined to
leave the question, merely remarking that the opposition, if admissible
at all, is not expressed by the term 'Not-being.'
Public-domain text, read in full here on John Shaqi.
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