Chess Problems Are The Hymn-tunes Of Mathematics.

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.

I Believe That Mathematical Reality Lies Outside Us, That Our Function Is To Discover Or Observe It, And That The Theorems Which We Prove, And Which We Describe Grandiloquently As Our "creations," Are Simply The Notes Of Our Observations.

[i Was Advised] To Read Jordan's 'cours D'analyse'; And I Shall Never Forget The Astonishment With Which I Read That Remarkable Work, The First Inspiration For So Many Mathematicians Of My Generation, And Learnt For The First Time As I Read It What Mathematics Really Meant.

No One Has Yet Discovered Any Warlike Purpose To Be Served By The Theory Of Numbers Or Relativity, And It Seems Unlikely That Anyone Will Do So For Many Years.

A Mathematician ... Has No Material To Work With But Ideas, And So His Patterns Are Likely To Last Longer, Since Ideas Wear Less With Time Than Words.