Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.
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
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
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. - Felix Klein
Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure. - Felix Klein
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
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
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equatio…
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs. - Felix Klein
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
Mathematics in general is fundamentally the science of self-evident things. - Felix Klein
Mathematics in general is fundamentally the science of self-evident things.
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
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…
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
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…
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