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

— Felix Klein Anwendung der Differential-und Integralrechnung auf Geometrie (1920)

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Mathematics

More quotes by Felix Klein

It has been the final aim of Lie from the beginning to make progress in the theory of differential equations ...

If we really desire to advance to a full understanding of the theory of logarithms, it is best to follow in broad outline the history of its creation.

Elementarmathematik vom höheren Standpunkte aus (1908)

In ordinary geometry a surface is conceived as a locus of points; in Lie's geometry it appears as the totality of all the spheres having contact with the surface.

As regards quartic surfaces, Rohn has investigated an enormous number of special cases; but a complete enumeration he has not reached. Among the special surfaces of the fourth order the Kummer surface with 16 conical points is one of the most important. The models constructed by Plücker in connection with his theory of complexes of lines all represent special cases of the Kummer surface.

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Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.

Kenneth Boulding to Kenneth Boulding in: United States. Congress. House (1973)

If the doors of perception were cleansed, everything would appear to man as it is: infinite.

William Blake The Marriage of Heaven and Hell (1790)

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing.

Bertrand Russell

The land of easy mathematics where he who works adds up and he who retires subtracts.

Núria Añó

Attribution

Quote text and notes from Wikiquote: Felix Klein (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.