"In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathemati…"

"On a certain level of generality A which I call the ground level, you have certain theorems that have been proved and…"

"Cartan developed a general scheme of infinitesimal geometry in which Klein's notions were applied to the tangent plan…"

"The introduction of numbers as coordinates by reference to the particular division scheme of the open one dimensional…"

"Symmetry is a vast subject, significant in art and nature. Mathematics lies at its root, and it would be hard to find…"

"This letter, if judged by the novelty and profundity of ideas it contains, is perhaps the most substantial piece of w…"

"In my work, I have always tried to unite the true with the beautiful; but when I had to choose one or the other, I us…"

"It seems clear that [set theory] violates against the essence of the continuum, which, by its very nature, cannot at …"

"Important though the general concepts and propositions may be with which the modern industrious passion for axiomatiz…"

"We now come to a decisive step of mathematical abstraction: we forget about what the symbols stand for... [The mathem…"