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How Is Error Possible In Mathematics?

The Aim Of Science Is Not Things Themselves, As The Dogmatists In Their Simplicity Imagine, But The Relation Between Things.

It May Be Appropriate To Quote A Statement Of Poincare, Who Said (partly In Jest No Doubt) That There Must Be Something Mysterious About The Normal Law Since Mathematicians Think It Is A Law Of Nature Whereas Physicists Are Convinced That It Is A Mathematical Theorem.

Doubting Everything And Believing Everything Are Two Equally Convenient Solutions That Guard Us From Having To Think

Logic Sometimes Makes Monsters. For Half A Century We Have Seen A Mass Of Bizarre Functions Which Appear To Be Forced To Resemble As Little As Possible Honest Functions Which Serve Some Purpose.