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On Generation and corruption   
changes of magnitude called 'growth' and 'diminution'. Nevertheless,
the statements of those who posit more 'original reals' than one
make 'alteration' impossible. For 'alteration, as we assert, takes
place in respect to certain qualities: and these qualities (I mean,
e.g. hot-cold, white-black, dry-moist, soft-hard, and so forth) are,
all of them, differences characterizing the 'elements'. The actual
words of Empedocles may be quoted in illustration-
The sun everywhere bright to see, and hot,
The rain everywhere dark and cold;
and he distinctively characterizes his remaining elements in a similar
manner. Since, therefore, it is not possible for Fire to become Water,
or Water to become Earth, neither will it be possible for anything
white to become black, or anything soft to become hard; and the same
argument applies to all the other qualities. Yet this is what
'alteration' essentially is.
It follows, as an obvious corollary, that a single matter must
always be assumed as underlying the contrary 'poles' of any change
whether change of place, or growth and diminution, or 'alteration';
further, that the being of this matter and the being of 'alteration'
stand and fall together. For if the change is 'alteration', then the
substratum is a single element; i.e. all things which admit of
change into one another have a single matter. And, conversely, if
the substratum of the changing things is one, there is 'alteration'.
Empedocles, indeed, seems to contradict his own statements as well
as the observed facts. For he denies that any one of his elements
comes-to-be out of any other, insisting on the contrary that they
are the things out of which everything else comes-to-be; and yet
(having brought the entirety of existing things, except Strife,
together into one) he maintains, simultaneously with this denial, that
each thing once more comes-to-be out of the One. Hence it was
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