"Dirichlet was not satisfied to study Gauss' "Disquisitiones arithmeticae" once or several times, but continued throug…"

"A peculiar beauty reigns in the realm of mathematics, a beauty which resembles not so much the beauty of art as the b…"

"It is true that mathematics, owing to the fact that its whole content is built up by means of purely logical deductio…"

"Mathematical knowledge, therefore, appears to us of value not only in so far as it serves as means to other ends, but…"

"Out of the interaction of form and content in mathematics grows an acquaintance with methods which enable the student…"

"I have come to the conclusion that the exertion, without which a knowledge of mathematics cannot be acquired, is not …"

"It may be asserted without exaggeration that the domain of mathematical knowledge is the only one of which our otherw…"

"If in Germany the goddess Justitia had not the unfortunate habit of depositing the ministerial portfolios only in the…"

"The true mathematician is always a good deal of an artist, an architect, yes, of a poet. Beyond the real world, thoug…"

"Just as the musician is able to form an acoustic image of a composition which he has never heard played by merely loo…"