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Felix Klein Quotes

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

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



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

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




Felix Klein Quotes: "Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning."

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



Felix Klein Quotes: "Mathematics in general is fundamentally the science of self-evident things."

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




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

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 Quotes: "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."

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.



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

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 Quotes: "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."

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.