If I Could Prove By Logic That

The Mathematician's Patterns, Like The Painter's Or The Poet's Must Be Beautiful; The Ideas, Like The Colours Or The Words Must Fit Together In A Harmonious Way. Beauty Is The First Test: There Is No Permanent Place In The World For Ugly Mathematics.

A Mathematician, Like A Painter Or Poet, Is A Maker Of Patterns. If His Patterns Are More Permanent Than Theirs, It Is Because They Are Made With Ideas.

Sometimes One Has To Say Difficult Things, But One Ought To Say Them As Simply As One Knows How.

The Public Does Not Need To Be Convinced That There Is Something In Mathematics.

It Is Hardly Possible To Maintain Seriously That The Evil Done By Science Is Not Altogether Outweighed By The Good. For Example, If Ten Million Lives Were Lost In Every War, The Net Effect Of Science Would Still Have Been To Increase The Average Length Of Life.