Begin With The Simplest Examples.

Mathematics Is A Game Played According To Certain Simple Rules With Meaningless Marks On Paper.

Sometimes It Happens That A Man's Circle Of Horizon Becomes Smaller And Smaller, And As The Radius Approaches Zero It Concentrates On One Point. And Then That Becomes His Point Of View.

No One Shall Expel Us From The Paradise Which Cantor Has Created For Us. Expressing The Importance Of Cantor's Set Theory In The Development Of Mathematics.

In Mathematics ... We Find Two Tendencies Present. On The One Hand, The Tendency Towards Abstraction Seeks To Crystallise The Logical Relations Inherent In The Maze Of Materials ... Being Studied, And To Correlate The Material In A Systematic And Orderly Manner. On The Other Hand, The Tendency Towards Intuitive Understanding Fosters A More Immediate Grasp Of The Objects One Studies, A Live Rapport With Them, So To Speak, Which Stresses The Concrete Meaning Of Their Relations.

I Have Tried To Avoid Long Numerical Computations, Thereby Following Riemann's Postulate That Proofs Should Be Given Through Ideas And Not Voluminous Computations.