Mathematics Has A Threefold Purpose. It Must

How Is It That There Are So Many Minds That Are Incapable Of Understanding Mathematics? ... The Skeleton Of Our Understanding, ... And Actually They Are The Majority. ... We Have Here A Problem That Is Not Easy Of Solution, But Yet Must Engage The Attention Of All Who Wish To Devote Themselves To Education.

Often When Works At A Hard Question, Nothing Good Is Accomplished At The First Attack. Then One Takes A Rest, Long Or Short, And Sits Down Anew To The Work. During The First Half-hour, As Before, Nothing Is Found, And Then All Of A Sudden The Decisive Idea Presents Itself To The Mind.

It Is By Logic That We Prove, But By Intuition That We Discover. To Know How To Criticize Is Good, To Know How To Create Is Better.

Thus, Be It Understood, To Demonstrate A Theorem, It Is Neither Necessary Nor Even Advantageous To Know What It Means.

Later Generations Will Regard Mengenlehre (set Theory) As A Disease From Which One Has Recovered.