Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.

Mathematics in general is fundamentally the science of self-evident things.

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.

Success becomes worthwhile if it fills your heart with happiness and not with stress.

You can't be anything but who you are. I wouldn't love you the same if you stopped being you. How do I change enough to accept that ruthless streak in you.

If you want to love a parent you have to understand the incredible investment he or she has in you. If you are a parent, and you want to be loved, you have to deserve it.

I wanted to be president of the United States. I really did. The older I get, the less preposterous the idea seems.

Don't ever dare to take your college as a matter of course - because, like democracy and freedom, many people you'll never know have broken their hearts to get it for you.

I've always had a bad attention span.

A torn jacket is soon mended; but hard words bruise the heart of a child.

Brotherly love is still the distinguishing badge of every true Christian.

Art is not an end in itself. It introduces the soul into a higher spiritual order, which it expresses and in some sense explains.