So well thy words become thee as thy wounds.
[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
In mathematics. . . we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations inherent in the maze of materials. . . being studied, and to correlate the material in a systematic and orderly manner. On the other hand, the tendency towards intuitive understanding fosters a more immediate grasp of the objects one studies, a live rapport with them, so to speak, which stresses the concrete meaning of their relations.
Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows extinction or the cessation of independent development.
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.
There is no education but self-education.
Every time I step on the court I want to be up there with the best.
The mass of the American people are most emphatically not in the deplorable condition of which you speak.
Our attitude has always been that if you hire good people and provide good wages and good jobs and more than that - if you provide careers - that good things will happen to your company. I think we can say that that has been proved by the quality of people that we have and how they have built our organization.