Here's a pretty cool site I found that talks a bit about 'Pythagoras the mystic.' I found it pretty interesting, so I thought others would as well.
Homage to Pythagoras
Would Pythagoras's theory of knowledge be rational, considering that he thought everything was ultimately related to math, which is pure reason?
Our current knowledge of sub atomic physics and of four of the fundamental forces of nature is only truely expressible in terms of mathematical symbols and equations. Those equations in general are relatively elegant, simple, beautiful and symmetry. No other form of conceptualization really works any more. So our knowledge of nature in its most fundamental nature is mathematical knowledge.
Similarly, that which is regarded as beautiful generally exhibits mathematical proportions, ratios, harmonies and symmetries. So the beautiful also is an expression of mathematical form.
Plato and Phthogoras both regarded the "real" as the "ideal" and ultimately only mathematical language can express it. The forms we see in the material world are imperfect manifestations of the mathematical ideals they represent; or so Platonic idealism would have us think. I happen to think that fundamentally Plato was right and Democritus (matter is the basis of reality, atomic theory) was wrong. Rationalism over empiricism and the ideal over the material but then such are my personal metaphysical proclivities.