Chance ... Must Be Something

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

Thus, Be It Understood, To Demonstrate A Theorem, It Is Neither Necessary Nor Even Advantageous To Know What It Means. The Geometer Might Be Replaced By The "logic Piano" Imagined By Stanley Jevons; Or, If You Choose, A Machine Might Be Imagined Where The Assumptions Were Put In At One End, While The Theorems Came Out At The Other, Like The Legendary Chicago Machine Where The Pigs Go In Alive And Come Out Transformed Into Hams And Sausages. No More Than These Machines Need The Mathematician Know What He Does.

Analyse Data Just So Far As To Obtain Simplicity And No Further.

Mathematicians Are Born, Not Made.

Intuition Is More Important To Discovery Than Logic.