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Felix Klein

Felix Klein Biography

Mathematician

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“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

WellsWholeProblemKnownStudyModernLogicFunctionMathematicsDefinedCertaintyUncertaintyReasoningWell KnownEquationsTranscendentalOntologyDifferential Equations
Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill
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“The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take account of the psychic processes in the boy in order to grip his interest, and he will succeed only if he presents things in a form intuitively comprehensible. A more abstract presentation is only possible in the upper classes.”

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

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Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill
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“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.”

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Book:Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis
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“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.”

PurposeSacrificeOriginalsUnityDevelopingBranchesSplitsDiverseScope
Book:Gesammelte mathematische Abhandlungen: Zur anschaulichen Geometrie. Zur Auflösung algebraischer Gleichungen. Physikalisches. Hrsg. von R. Fricke und H. Vermeil
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