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related. If we regard the intermediates as blendings of the extremes, we must not posit any contrariety other than that between black and white, but must show that all other colours are combinations of these two. Contrariety however demands that there be some one distinct quality in the intermediates, though this quality may be seen to arise from a combination.
It may further be suggested that contraries not only differ from each other, but also entail the greatest possible difference. But "the greatest possible difference" would seem to presuppose that intermediates have already been established: eliminate the series, and how will you define "the greatest possible"? Sight, we may be told, will reveal to us that grey is nearer than black to white; and taste may be our judge when we have hot, cold and no intermediate.
That we are accustomed to act upon these assumptions is obvious enough; but the following considerations may perhaps commend themselves:—
White and yellow are entirely different from each other—a statement which applies to any colour whatsoever as compared with any other; they are accordingly contrary qualities. Their contrariety is independent of the presence of intermediates: between health and disease no intermediate intrudes, and yet they are contraries.
It may be urged that the products of a contrariety exhibit the greatest diversity. But "the greatest diversity" is clearly meaningless, unless we can point to lower degrees of diversity in the means. Thus, we cannot speak of "the greatest diversity" in reference to health and disease. This definition of contrariety is therefore inadmissible.
Suppose that we say "great diversity" instead of "the greatest": if "great" is equivalent to greater and implies a less, immediate contraries will again escape us; if, on the other hand, we mean strictly "great" and assume that every quality shows a great divergence from every other, we must not suppose that the divergence can be measured by a comparative.
Nonetheless, we must endeavour to find a meaning for the term "contrary." Can we accept the principle that when things have a