... the word "theory" ... was originally an Orphic word, which Cornford interprets as "passionate sympathetic contemplation" ... For Pythagoras, the "passionate sympathetic contemplation" was intellectual, and issued in mathematical knowledge ... To those who have reluctantly learnt a little mathematics in school this may seem strange; but to those who have experienced the intoxicating delight of sudden understanding that mathematics gives, from time to time, to those who love it, the Pythagorean view will seem completely natural.
Bertrand RussellSo in everything: power lies with those who control finance, not with those who know the matter upon which the money is to be spent. Thus, the holders of power are, in general, ignorant and malevolent, and the less they exercise their power the better.
Bertrand RussellNo matter how eloquently a dog may bark, he cannot tell you that his parents were poor, but honest.
Bertrand RussellMathematics is, I believe, the chief source of the belief in eternal and exact truth, as well as a sensible intelligible world.
Bertrand Russell... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.
Bertrand Russell