„[M]athematics is not a popular subject… The reason for this is to be found in the common superstition that [it] is but a continuation… of the fine art of arithmetic, of juggling with numbers. [We] combat that superstition, by offering, instead of formulas, figures that may be looked at and that may easily be supplemented by models which the reader may construct. This book… bring[s] about a greater enjoyment of mathematics, by making it easier… to penetrate the essence of mathematics without… a laborious course of studies.“

— David Hilbert

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„Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.“
— Alan Turing
„The organic unity of mathematics is inherent in the nature of this science, for mathematics is the foundation of all exact knowledge of natural phenomena. That it may completely fulfil this high mission, may the new century bring it gifted masters and many zealous and enthusiastic disciples!“
— David Hilbert