Mathematics Is The Art Of

Point Set Topology Is A Disease From Which The Human Race Will Soon Recover.

The Task Of The Educator Is To Make The Child's Spirit Pass Again Where Its Forefathers Have Gone, Moving Rapidly Through Certain Stages But Suppressing None Of Them. In This Regard, The History Of Science Must Be Our Guide.

In The Old Days When People Invented A New Function They Had Something Useful In Mind. Now, They Invent Them Deliberately Just To Invalidate Our Ancestors' Reasoning, And That Is All They Are Ever Going To Get Out Of Them.

It May Happen That Small Differences In The Initial Conditions Produce Very Great Ones In The Final Phenomena. A Small Error In The Former Will Produce An Enormous Error In The Later. Prediction Becomes Impossible, And We Have The Fortuitous Phenomena.

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