"For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer …"

"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for…"

"Empirical evidence can never establish mathematical existence--nor can the mathematician's demand for existence be di…"

"Mathematical techniques to achieve numerical solutions for began to appear about the turn of the century. The first d…"

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

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

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

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

"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…"