The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
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Equality is of two kinds, numerical and proportional; by the first I mean sameness of equality in number or size; by the second, equality of ratios.
The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to utilitarian ends [mathematics] has been able to arise in Egypt, the priestly caste there having the leisure necessary... ...
Whereas young people become accomplished in geometry and mathematics, and wise within these limits, prudent young people do not seem to be found. The reason is that prudence is concerned with particulars as well as universals, and particulars become known... ...
It is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician demonstrative proofs.
"Politics is for the present, but an equation is for eternity."
"We owe a lot to the Indians, who taught us how to count, without which no worthwhile scientific discovery could have been made."
"A mathematical equation stands forever."
"Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena."