"...the source of all great mathematics is the……" — Paul Halmos
"...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case."
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Paul Halmos
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26 Quotes by Paul Halmos
Paul Halmos has 26 quotes on this site.
A few more worth reading:
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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 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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The heart of mathematics consists of concrete examples and concrete problems. Big general theories are usually afterthoughts based on small…
See all 26 quotes by Paul Halmos »
More All Quotes
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Total loyalty is possible only when fidelity is emptied of all concrete content, from which changes of mind might naturally…
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We must all make peace so that we can all live in peace.
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Wise people, even though all laws were abolished, would still lead the same life.
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A friend to all is a friend to none.
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