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.g. that the middle strings are represented by
nine and eight, and that the epic verse has seventeen syllables, which
is equal in number to the two strings, and that the scansion is, in
the right half of the line nine syllables, and in the left eight.
And they say that the distance in the letters from alpha to omega is
equal to that from the lowest note of the flute to the highest, and
that the number of this note is equal to that of the whole choir of
heaven. It may be suspected that no one could find difficulty either
in stating such analogies or in finding them in eternal things,
since they can be found even in perishable things.
But the lauded characteristics of numbers, and the contraries of
these, and generally the mathematical relations, as some describe
them, making them causes of nature, seem, when we inspect them in this
way, to vanish; for none of them is a cause in any of the senses
that have been distinguished in reference to the first principles.
In a sense, however, they make it plain that goodness belongs to
numbers, and that the odd, the straight, the square, the potencies
of certain numbers, are in the column of the beautiful. For the
seasons and a particular kind of number go together; and the other
agreements that they collect from the theorems of mathematics all have
this meaning. Hence they are like coincidences. For they are
accidents, but the things that agree are all appropriate to one
another, and one by analogy
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