[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. Paul R. Halmos
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More Quotes By Paul R. Halmos
  1. 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...
  2. [Mathematics] is security. Certainty. Truth. Beauty. <span style="margin:15px; display:block"></span>Insight. Structure. Architecture. <span style="margin:15px; display:block"></span>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...
  3. Mathematics is not a deductive science - that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
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