In [great Mathematics] There Is A Very

The Primes Are The Raw Material Out Of Which We Have To Build Arithmetic, And Euclid's Theorem Assures Us That We Have Plenty Of Material For The Task.

Mathematics Is Not A Contemplative But A Creative Subject.

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.

The "seriousness" Of A Mathematical Theorem Lies, Not In Its Practical Consequences, Which Are Usually Negligible, But In The Significance Of The Mathematical Ideas Which It Connects.

What We Do May Be Small, But It Has A Certain Character Of Permanence; And To Have Produced Anything Of The Slightest Permanent Interest, Whether It Be A Copy Of Verses Or A Geometrical Theorem, Is To Have Done Something Utterly Beyond The Powers Of The Vast Majority Of Men.