The right order will be achieved if the right term is
assumed as primary, and this will be ensured if the term selected is
predicable of all the others but not all they of it; since there
must be one such term. Having assumed this we at once proceed in the
same way with the lower terms; for our second term will be the first
of the remainder, our third the first of those which follow the second
in a 'contiguous' series, since when the higher term is excluded, that
term of the remainder which is 'contiguous' to it will be primary, and
so on. Our procedure makes it clear that no elements in the
definable form have been omitted: we have taken the differentia that
comes first in the order of division, pointing out that animal, e.g.
is divisible exhaustively into A and B, and that the subject accepts
one of the two as its predicate. Next we have taken the differentia of
the whole thus reached, and shown that the whole we finally reach is
not further divisible-i.e. that as soon as we have taken the last
differentia to form the concrete totality, this totality admits of
no division into species. For it is clear that there is no superfluous
addition, since all these terms we have selected are elements in the
definable form; and nothing lacking, since any omission would have
to be a genus or a differentia.
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