Felix Klein Quotes

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

  Félix Klein

  Newton, Theory, Mathematician

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

  Félix Klein

  Math, Sensual, Intuition

  19 Copiar cita

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

  Félix Klein

  Confused, Math, Numbers

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

  Félix Klein

  Self, Mathematics, Evident

  "Anwendung der Differential-und Integralrechnung auf Geometrie". Book by Georg Scheffers, p. 26, 1920.

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

  Félix Klein

  Finals, Fundamentals, Firsts

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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.

  Félix Klein

  Profesor, Escuela, Chicos

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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.

  Félix Klein

  Ontology, Logic, Study

  Felix Klein (1893). “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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• Cualquiera que entienda del tema estará de acuerdo en que incluso la base sobre la que descansa la explicación científica de la naturaleza sólo es inteligible para aquellos que han aprendido al menos los elementos del cálculo diferencial e integral, así como la geometría analítica.

  Félix Klein

  Elements, Calculus, Geometry

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• 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.

  Félix Klein

  Territory, Fields, Royal

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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.

  Félix Klein

  Sacrifice, Unity, Purpose

  Felix Klein (1922). “Gesammelte mathematische Abhandlungen: Zur anschaulichen Geometrie. Zur Auflösung algebraischer Gleichungen. Physikalisches. Hrsg. von R. Fricke und H. Vermeil”

  10 Copiar cita

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

  Félix Klein

  Names, Three, May

  Felix Klein (1893). “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”

  8 Copiar cita

• 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.

  Félix Klein

  Teacher, Science, Long

  Felix Klein (2016). “Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis”, p.166, Springer

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