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| Paragraph 1 |
One might also raise the question what the good is that things get
from numbers because their composition is expressible by a number,
either by one which is easily calculable or by an odd number. |
| Paragraph 2 |
If all things must share in number, it must follow that many things
are the same, and the same number must belong to one thing and to
another. |
| Paragraph 3 |
These people are like the old-fashioned Homeric scholars, who see
small resemblances but neglect great ones. |
| Paragraph 4 |
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; |
| Paragraph 5 |
Again, it is not the ideal numbers that are the causes of musical
phenomena and the like (for equal ideal numbers differ from one another
in form; |
| Paragraph 6 |
These, then, are the results of the theory, and yet more might be
brought together. |
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created 1996/11/25 modified 2009/04/26