"The spectacular thing about Johnny [von Neumann] was……" — Paul Halmos
"The spectacular thing about Johnny [von Neumann] was not his power as a mathematician, which was great, or his insight and his clarity, but his rapidity; he was very, very fast. And like the modern computer, which no longer bothers to retrieve the logarithm of 11 from its memory (but, instead, computes the logarithm of 11 each time it is needed), Johnny didn't bother to remember things. He computed them. You asked him a question, and if he didn't know the answer, he thought for three seconds and would produce and answer."
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Paul Halmos
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26 Quotes by Paul Halmos
Paul Halmos has 26 quotes on this site.
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To be a scholar of mathematics you must be born with talent, insight, concentration, taste, luck, drive and the ability…
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What's the best part of being a mathematician? I'm not a religious man, but it's almost like being in touch…
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[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call…
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Mathematics is not a deductive science-that's a cliché. When you try to prove a theorem, you don't just list the…
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...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every…
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The computer is important, but not to mathematics.
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It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems…
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The only way to learn mathematics is to do mathematics.
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The joy of suddenly learning a former secret and the joy of suddenly discovering a hitherto unknown truth are the…
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A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I…
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Mathematics - this may surprise or shock some - is never deductive in creation.
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The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or…
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