Paul Halmos Quotes

Enjoy the top 29 famous quotes, sayings and quotations by Paul Halmos.

Paul Halmos Quotes

I remember one occasion when I tried to add a little seasoning to a review, but I wasnt allowed to. The paper was by Dorothy Maharam, and it was a perfectly sound contribution to abstract measure theory. The domains of the underlying measures were not sets but elements of more general Boolean algebras, and their range consisted not of positive numbers but of certain abstract equivalence classes. My proposed first sentence was: "The author discusses valueless measures in pointless spaces."
— Paul Halmos —

The best way to learn is to do; the worst way to teach is to talk.

— Paul Halmos

When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn't even ask.

— Paul Halmos

The only way to learn mathematics is to do mathematics.

— Paul Halmos

Feller was an ebullient man, who would rather be wrong than undecided.

— Paul Halmos

It saddens me that educated people don't even know that my subject exists.

— Paul Halmos

Applied mathematics will always need pure mathematics just as anteaters will always need ants.

— Paul Halmos

You are allowed to lie a little, but you must never mislead.

— Paul Halmos

I remember one occasion when I tried to add a little seasoning to a review, but I wasn't allowed to. The paper was by Dorothy Maharam, and it was a perfectly sound contribution to abstract measure theory. The domains of the underlying measures were not sets but elements of more general Boolean algebras, and their range consisted not of positive numbers but of certain abstract equivalence classes. My proposed first sentence was: "The author discusses valueless measures in pointless spaces."

— Paul Halmos

Many teachers are concerned about the amount of material they must cover in a course. One cynic suggested a formula: since, he said, students on the average remember only about 40% of what you tell them, the thing to do is to cram into each course 250% of what you hope will stick.

— Paul Halmos

A clever graduate student could teach Fourier something new, but
surely no one claims that he could teach Archimedes to reason
better.

— Paul Halmos

What's the best part of being a mathematician? I'm not a religious man, but it's almost like being in touch with God when you're thinking about mathematics. God is keeping secrets from us, and it's fun to try to learn some of the secrets.

— Paul Halmos

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