“The bewildered novice in chess moves cautiously, recalling individual rules, whereas the experienced player absorbs a complicated situation at a glance and is unable to account rationally for his intuition. In like manner mathematical intuition grows with experience, and it is possible to develop a natural feeling for concepts such as four dimensional space.”

—  William Feller

Introduction, The Nature of Probability Theory, p. 2.
An Introduction To Probability Theory And Its Applications (Third Edition)

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William Feller 30
Croatian-American mathematician 1906–1970

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Variant translation: The chief aim of mathematics teaching is to develop certain faculties of the mind, and among these intuition is by no means the least valuable.
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