When We Talk Mathematics, We May Be

There's No Sense In Being Precise When You Don't Even Know What You're Talking About.

I Am Thinking About Something Much More Important Than Bombs. I Am Thinking About Computers.

I Would Like To Make A Confession Which May Seem Immoral: I Do Not Believe Absolutely In Hilbert Space Any More.

The Total Subject Of Mathematics Is Clearly Too Broad For Any Of Us. I Do Not Think That Any Mathematician Since Gauss Has Covered It Uniformly And Fully; Even Hilbert Did Not And All Of Us Are Of Considerably Lesser Width Quite Apart From The Question Of Depth Than Hilbert.

Neumann, To A Physicist Seeking Help With A Difficult Problem: Simple. This Can Be Solved By Using The Method Of Characteristics. Physicist: I'm Afraid I Don't Understand The Method Of Characteristics. Neumann: In Mathematics You Don't Understand Things. You Just Get Used To Them.