"[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure.……" — Paul Halmos
"[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing-one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me."
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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 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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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 Algebra Quotes
This quote is filed under Algebra Quotes,
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