“What's the best part of being a mathematician? I'm not a religious man, but it's almost like being in touch with God when you're thinking about mathematics. God is keeping secrets from us, and it's fun to try to learn some of the secrets.” ThinkingMenTryingGodScienceFunReligiousSecretMathematicsMathematicianKeeping Secrets Book:PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics Source: PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics
“[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.” HumansScienceKnowledgeOne ThingSecurityTruth IsMathematicsStructureInsightArchitectureSecureCertaintyAnalysisGloriousFacetsAlgebraInterconnectedHuman KnowledgeInterconnectionTopology Author:Paul Halmos
“Mathematics is not a deductive science - that's a cliché. 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.” TryingReasonScienceProveAccountsMathematicsErrorsMathListsTrialsExperimentsMathematicalMathematicianHypothesisTheoremsMath And ScienceTrial And ErrorMathematics And ScienceMathematics By MathematiciansFunny MathematicsLearning MathGuessworkMathematical ProofMaths Funny Author: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.” ScienceCasesSpecialExampleSourceConceptsEssenceMathematicsInstanceMathematicalConcreteGeneralities Author:Paul Halmos
“The most 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.” IfsThinkingKnowsRememberScienceThreeMemoriesAnswersModernProduceNeededComputerInsightClarityBotherSecondsMathematicianSpectacularVon Neumann Author:Paul Halmos
“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.” IfsGovernmentScienceHalfMathematicsMathematician Book:PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics Source: PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics
