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Top 10 Felix Klein Quotes (2025 Update)

Felix Klein Quote: “Mathematics in general is fundamentally the science of self-evident things.”
Felix Klein Quote: “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 Quote: “Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.”
Felix Klein Quote: “Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.”
Felix Klein Quote: “The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.”
Felix Klein Quote: “Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well as analytical geometry.”
Felix Klein Quote: “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.”
Felix Klein Quote: “The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point.”
Felix Klein Quote: “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 Quote: “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.”
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