Any theory on the principles of mathematics must always be inductive i.e. it must lie in the fact that the theory in question enables us to deduce ordinary mathematics.

Görülmesi en kolay şey ne çok büyük, ne çok küçük, ne çok uzak ne çok yakın, ne çok karmaşık, ne ne de çok basit olandır.

Mathematics takes us still further from what is human into the region of absolute necessity, to which not only the actual world, but ever possible world, must conform.

In adolescence, I hated life and was continually on the verge of suicide, from which, however, I was restrained by the desire to know more mathematics.

Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.