One Hears A Lot Of Talk About

Mathematical Science Is In My Opinion An Indivisible Whole, An Organism Whose Vitality Is Conditioned Upon The Connection Of Its Parts.

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.

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.

Physics Is Much Too Hard For Physicists.

Every Kind Of Science, If It Has Only Reached A Certain Degree Of Maturity, Automatically Becomes A Part Of Mathematics.