B4 Those called Pythagoreans applied themselves first to mathematics and were the first to develop this science; and through studying it they came to believe that its principles are the principles of everything. And since numbers are by nature first among these principles, and they fancied that they could detect in numbers, to a greater extent than in fire and earth and water, many analogues of what is and what comes into being—such and such a property of number being justice, and such and such a soul or a mind, another opportunity, and similarly, more or less, with all the rest—and since they saw, further that the properties and ratios of the musical scales are based on numbers, and since it seemed clear that all other things ...

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