“It is our choices, Harry, that show what we truly are, far more than our abilities.” — Harry Potter and the Chamber of Secrets
Halmos, Paul R.
Mathematics is not a deductive science — that’s a cliche. When you try to prove a theorem, you don’t just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
I Want to be a Mathematician, Washington: MAA Spectrum, 1985.
The other extreme would be: doing only experiment in mathematics and claim that it is true in general. This should be written in: I want to be a Non-mathematician.
Lang, Andrew (1844-1912)
He uses statistics as a drunken man uses lamp posts — for support rather than illumination.
Treasury of Humorous Quotations.
The shortest path between two truths in the real domain passes through the complex domain.
Quoted in The Mathematical Intelligencer, v. 13, no. 1, Winter 1991.