One Can Measure The Importance

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.

As Long As A Branch Of Science Offers An Abundance Of Problems, So Long It Is Alive; A Lack Of Problems Foreshadows Extinction Or The Cessation Of Independent Development.

Every Mathematical Discipline Goes Through Three Periods Of Development: The Naive, The Formal, And The Critical.

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.

The Arithmetical Symbols Are Written Diagrams And The Geometrical Figures Are Graphic Formulas.