Mathematics Quotes by Felix Klein

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

— 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 equations.

— 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…

— Felix Klein

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal…

— 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

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

— Felix Klein

The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take…

— Felix Klein

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

— 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…

— Felix Klein

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

— Felix Klein

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

— Felix Klein