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Paul Halmos Quotes - Page 2

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

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

Paul Halmos
Clever, Students, Graduates

The mathematical fraternity is a little like a self-perpetuating priesthood. The mathematicians of today teach the mathematicians of tomorrow and, in effect, decide whom to admit to the priesthood.

Paul Halmos
Self, Littles, Today

Mathematics - this may surprise or shock some - is never deductive in creation.

Paul Halmos
Education, Knowledge, Math

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

Paul Halmos
Math, Errors, Trial And Error
"I Want to be a Mathematician: An Automathography". Book by Paul Halmos, 1985.

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
Education, Teacher, Math

... the student skit at Christmas contained a plaintive line: "Give us Master's exams that our faculty can pass, or give us a faculty that can pass our Master's exams."

Paul Halmos
Math, Giving, Lines

If the NSF had never existed, if the government had never funded American mathematics, we would have half as many mathematicians as we now have, and I don't see anything wrong with that.

Paul Halmos
Science, Government, Half
Paul Richard Halmos, John Ewing, F.W. Gehring (1991). “PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics”, p.14, Springer Science & Business Media

The author discusses valueless measures in pointless spaces.

Paul Halmos
Space, Algebra, Seasoning
"I Want to be a Mathematician: An Automathography". Book by Paul Halmos, 1985.

The computer is important, but not to mathematics.

Paul Halmos
Important, Computer, Mathematics
Paul Richard Halmos, John Ewing, F.W. Gehring (1991). “PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics”, p.19, Springer Science & Business Media

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