Mathematics Is Not Only Real, But It

A God Whose Creation Is So Imperfect That He Must Be Continually Adjusting It To Make It Work Properly Seems To Me A God Of Relatively Low Order, Hardly Worthy Of Any Worship.

Speaking About Symmetry, Look Out Our Window, And You May See A Cardinal Attacking Its Reflection In The Window. The Cardinal Is The Only Bird We Have Who Often Does This. If It Has A Nest Nearby, The Cardinal Thinks There Is Another Cardinal Trying To Invade Its Territory. It Never Realizes It Is Attacking Its Own Reflection. Cardinals Don't Know Much About Mirror Symmetry!

If All Sentient Beings In The Universe Disappeared, There Would Remain A Sense In Which Mathematical Objects And Theorems Would Continue To Exist Even Though There Would Be No One Around To Write Or Talk About Them. Huge Prime Numbers Would Continue To Be Prime, Even If No One Had Proved Them Prime.

Mathematics Is Not Only Real, But It Is The Only Reality.

The Last Level Of Metaphor In The Alice Books Is This: That Life, Viewed Rationally And Without Illusion, Appears To Be A Nonsense Tale Told By An Idiot Mathematician. At The Heart Of Things Science Finds Only A Mad, Never-ending Quadrille Of Mock Turtle Waves And Gryphon Particles. For A Moment The Waves And Particles Dance In Grotesque, Inconceivably Complex Patterns Capable Of Reflecting On Their Own Absurdity.