Quotes About Pythagoreans

Or an amicable pair," said Sam. "Sorry?" "In math, that's what we call two numbers each of which is equal to the sum of the divisors of the other. The smallest ones, 220 and 284, were regarded by the Pythagoreans as symbols of true friendship.

The Pythagoreans were mystics, and believed that the tetrahedron, cube, octahedron, and icosahedron respectively underlay the structure of the four elements of Greek science: fire, earth, air, and water. The dodecahedron they identified with the universe as a whole.

Pythagoras apparently wrote nothing, and yet his influence was so great that the more attentive of his followers formed a secretive society, or brotherhood, and were known as the Pythagoreans. Aristippus of Cyrene tells us in his Account of Natural Philosphers that Pythagoras derived his name from the fact that he was speaking (agoreuein) truth like the God at Delphi (tou Pythiou).

The Pythagoreans were probably the first to recognize the concept that the basic forces in the universe may be expressed through the language of mathematics.

The construction of mathematical logic had become the arbiter of truth. This was the Pythagoreans' greatest contribution to civilisation - a way of achieving truth which is beyond the fallibility of human judgement.

From the Pythagoreans onward, through the Renaissance to our times, the oceanic feeling, the sense of participation in the mystery of the infinite, was the principle inspiration of that winged and flat-footed creature, the scientist.

The Pythagoreans, you have to remember, were extremely weird. Their philosophy was a chunky stew of things we'd now call mathematics, things we'd now call religion, and things we'd now call mental illness.

irrational behavior is as unacceptable to a certain species of economist as the irrational magnitude of the hypotenuse was to the Pythagoreans. It doesn't fit their model of what can be; and yet it is.

Of great interest is the metempsychosis of the Cabala. How this doctrine, already espoused by the Egyptians, Pythagoreans and Plato, came into Jewish mysticism, is not yet fully explained.

It is known that for the Greeks delta was a symbol for woman. The Pythagoreans regarded the triangle as the arche geneseoas because of its perfect form and because it represented the archetype of universal fertility. A similar symbolism for the triangle is to be found in India.

The Pythagoreans degrade impious men into brutes and, if one is to believe Empedocles, even into plants.

The Pythagoreans had no sex prejudice, contrary to later times, but Parmenides goes much further than they did, further than ever Mr. Robert Graves would dare. His matriarchal absolutism is revealed not only in his Daemon Lady but in all her attendants and epicleses,...

The Pythagoreans... were fascinated by certain specific ratios, ...The Greeks knew these as the 'golden' proportion and the 'perfect' proportion respectively. They may well have been learned from the Babylonians by Pythagoras himself after having been taken prisoner in Egypt. Ratios lay at the heart of the Pythagorean theory of music.

Every soul and spirit has some degree of continuity with the universal spirit, which is recognized to be located not only where the individual soul lives and perceives, but also to be spread out everywhere in its essence and substance, as many Platonists and Pythagoreans have taught.

It is true that, if the affections or aptness of the children be extraordinary, then it is good not to cross it; but generally the precept" of the Pythagoreans "is good, Optimum lege suave et facile illud faciet consuetudo,"—choose the best; custom will make it pleasant and easy.35 For "custom is the principal magistrate of man's life."36

Vegetarians have been around for a very long time - Pythagoreans forbade eating animals more than 2,500 years ago - but even as the environmental evidence mounted, they didn't appear to be winning the argument.

I would rather be wrong with Plato than right with such men as these [the Pythagoreans].