Begin With The Simplest Examples.

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.

Who Of Us Would Not Be Glad To Lift The Veil Behind Which The Future Lies Hidden; To Cast A Glance At The Next Advances Of Our Science And At The Secrets Of Its Development During Future Centuries? What Particular Goals Will There Be Toward Which The Leading Mathematical Spirits Of Coming Generations Will Strive? What New Methods And New Facts In The Wide And Rich Field Of Mathematical Thought Will The New Centuries Disclose?

We Do Not Master A Scientific Theory Until We Have Shelled And Completely Prised Free Its Mathematical Kernel.

I Didn't Work Especially Hard At Mathematics At School, Because I Knew That's What I'd Be Doing Later.

Besides It Is An Error To Believe That Rigour Is The Enemy Of Simplicity. On The Contrary We Find It Confirmed By Numerous Examples That The Rigorous Method Is At The Same Time The Simpler And The More Easily Comprehended. The Very Effort For Rigor Forces Us To Find Out Simpler Methods Of Proof.