William Feller Quote

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.

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