Reductio Ad Absurdum, Which Euclid Loved So

Real Mathematics Must Be Justified As Art If It Can Be Justified At All.

A Person’s First Duty, A Young Person’s At Any Rate, Is To Be Ambitious, And The Noblest Ambition Is That Of Leaving Behind Something Of Permanent Value.

If A Man Is In Any Sense A Real Mathematician, Then It Is A Hundred To One That His Mathematics Will Be Far Better Than Anything Else He Can Do, And That He Would Be Silly If He Surrendered Any Decent Opportunity Of Exercising His One Talent In Order To Do Undistinguished Work In Other Fields. Such A Sacrifice Could Be Justified Only By Economic Necessity Of Age.

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.

No Mathematician Should Ever Allow Himself To Forget That Mathematics, More Than Any Other Art Or Science, Is A Young Man's Game