No Other Question Has Ever Moved So

No Other Question Has Ever Moved So Profoundly The Spirit Of Man; No Other Idea Has So Fruitfully Stimulated His Intellect; Yet No Other Concept Stands In Greater Need Of Clarification Than That Of The Infinite.

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

Geometry Is The Most Complete Science.

Mathematics Knows No Races Or Geographic Boundaries; For Mathematics, The Cultural World Is One Country.

I Do Not Want To Presuppose Anything As Known. I See In My Explanation In Section 1 The Definition Of The Concepts Point, Straight Line And Plane, If One Adds To These All The Axioms Of Groups I-v As Characteristics. If One Is Looking For Other Definitions Of Point, Perhaps By Means Of Paraphrase In Terms Of Extensionless, Etc., Then, Of Course, I Would Most Decidedly Have To Oppose Such An Enterprise. One Is Then Looking For Something That Can Never Be Found, For There Is Nothing There, And Everything Gets Lost, Becomes Confused And Vague, And Degenerates Into A Game Of Hide And Seek.