Good Work Is Not Done By 'humble'

A Chess Problem Is Simply An Exercise In Pure Mathematics.

A Man Who Sets Out To Justify His Existence And His Activities Has To Distinguish Two Different Questions. The First Is Whether The Work Which He Does Is Worth Doing; And The Second Is Why He Does It (whatever Its Value May Be).

I Wrote A Great Deal During The Next Ten [early] Years,but Very Little Of Any Importance; There Are Not More Than Four Or Five Papers Which I Can Still Remember With Some Satisfaction.

The Theory Of Numbers, More Than Any Other Branch Of Mathematics, Began By Being An Experimental Science. Its Most Famous Theorems Have All Been Conjectured, Sometimes A Hundred Years Or More Before They Were Proved; And They Have Been Suggested By The Evidence Of A Mass Of Computations.

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.