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. For
that is greatest which cannot be exceeded, and that is complete beyond
which nothing can be found. For the complete difference marks the
end of a series (just as the other things which are called complete
are so called because they have attained an end), and beyond the end
there is nothing; for in everything it is the extreme and includes all
else, and therefore there is nothing beyond the end, and the
complete needs nothing further. From this, then, it is clear that
contrariety is complete difference; and as contraries are so called in
several senses, their modes of completeness will answer to the various
modes of contrariety which attach to the contraries.
This being so, it is clear that one thing have more than one
contrary (for neither can there be anything more extreme than the
extreme, nor can there be more than two extremes for the one
interval), and, to put the matter generally, this is clear if
contrariety is a difference, and if difference, and therefore also the
complete difference, must be between two things.
And the other commonly accepted definitions of contraries are also
necessarily true. For not only is (1) the complete difference the
greatest difference (for we can get no difference beyond it of
things differing either in genus or in species; for it has been
shown that there is no 'difference' between anything and the things
outside its genus, and among the things which differ in species the
complete difference is the greatest); but also (2) the things in the
same genus which differ most are contrary (for the complete difference
is the greatest difference between species of the same genus); and (3)
the things in the same receptive material which differ most are
contrary (for the matter is the same for contraries); and (4) of the
things which fall under the same faculty the most different are
contrary (for one science deals with one class of things, and in these
the complete difference is the greatest)
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