A Chess Problem Is Simply An Exercise

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.

Young Men Should Prove Theorems, Old Men Should Write Books.

Mathematics May, Like Poetry Or Music, "promote And Sustain A Lofty Habit Of Mind."

I Do Not Know An Instance Of A Major Mathematical Advance Initiated By A Man Past Fifty

There Is Always More In One Of Ramanujan's Formulae Than Meets The Eye, As Anyone Who Sets To Work To Verify Those Which Look The Easiest Will Soon Discover. In Some The Interest Lies Very Deep, In Others Comparatively Near The Surface; But There Is Not One Which Is Not Curious And Entertaining.