Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.
Hermann WeylGod exists because arithmetic is consistent - the Devil exists because we can't prove it!
Hermann WeylMathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.
Hermann WeylWe must learn a new modesty. We have stormed the heavens, but succeeded only in building fog upon fog, a mist which will not support anybody who earnestly desires to stand upon it. What is valid seems so insignificant that it may be seriously doubted whether anlaysis is at all possible.
Hermann Weyl