Our Beliefs Are, However, Often Contrary To

The Supreme Maxim In Scientific Philosophising Is This: Wherever Possible, Logical Constructions Are To Be Substituted For Inferred Entities.

Extreme Hopes Are Born Of Extreme Misery, And In Such A World Hopes Could Only Be Irrational.

Mathematics, Rightly Viewed, Possesses Not Only Truth, But Supreme Beauty A Beauty Cold And Austere, Like That Of Sculpture, Without Appeal To Any Part Of Our Weaker Nature, Without The Georgeous Trappings Of Painting Or Music, Yet Sublimely Pure, And Capable Of A Stern Perfection Such As Only The Greatest Art Can Show. The True Spirit Of Delight, The Exaltation, The Sense Of Being More Than Man, Which Is The Touchstone Of The Highest Excellence, Is To Be Found In Mathematics As Surely As In Poetry.

Mathematics Rightly Viewed Possesses Not Only Truth But Supreme Beauty.

The Man Who Only Loves Beautiful Things Is Dreaming, Whereas The Man Who Knows Absolute Beauty Is Wide Awake.