Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to thos…

- Felix Klein

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

- Felix Klein

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

- Felix Klein

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

- Felix Klein

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

- Felix Klein

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

- Felix Klein

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

- Felix Klein

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 sp…

- Felix Klein

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…

- Felix Klein