Mathematics Is A Game Played According To

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

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?

Geometry Is The Most Complete Science.

One Hears A Lot Of Talk About The Hostility Between Scientists And Engineers. I Don't Believe In Any Such Thing. In Fact I Am Quite Certain It Is Untrue... There Cannot Possibly Be Anything In It Because Neither Side Has Anything To Do With The Other.

We Ought Not To Believe Those Who Today, Adopting A Philosophical Air And With A Tone Of Superiority, Prophesy The Decline Of Culter And Are Content With The Unknowable In A Self-satisfied Way. For Us There Is No Unknowable, And In My Opinion There Is Also Non Whatsoever For The Natural Sciences. In Place Of This Foolish Unknowable, Let Our Watchword On The Contrary Be: We Must Know - We Shall Know.