The Mathematician's Patterns, Like The Painter's Or

A Chess Problem Is Simply An Exercise In Pure Mathematics.

Perhaps Five Or Even Ten Per Cent Of Men Can Do Something Rather Well. It Is A Tiny Minority Who Can Do Anything Really Well, And The Number Of Men Who Can Do Two Things Well Is Negligible. If A Man Has Any Genuine Talent, He Should Be Ready To Make Almost Any Sacrifice In Order To Cultivate It To The Full.

In [great Mathematics] There Is A Very High Degree Of Unexpectedness, Combined With Inevitability And Economy.

The Mathematician's Patterns, Like The Painter's Or The Poet's, Must Be Beautiful.

They [formulae 1.10 - 1.12 Of Ramanujan] Must Be True Because, If They Were Not True, No One Would Have Had The Imagination To Invent Them.