Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that … - Richard Hamming

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Every serious-minded person knows that a large part of the effort required in moral discipline consists in the courage needed to acknowledge the unpleasant consequences of one's past and present acts.

Richard Hamming

Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would or would not fly could depend on this difference? If such were claimed, I should not care to fly in that plane.

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Mathematics is an interesting intellectual sport but it should not be allowed to stand in the way of obtaining sensible information about physical processes.

Intellectual, Interesting, Mathematics, Obtaining, Physical, Sports

Beware of finding what you're looking for. A favorite aphorism he often used.

Aphorism, Finding, Looking, Research, Science

When you are famous it is hard to work on small problems. This is what did [Claude Elwood] Shannon in. After information theory, what do you do for an encore? The great scientists often make this error. They fail to continue to plant the little acorns from which the mighty oak trees grow. They try to get the big thing right off. And that isn't the way things go. So that is another reason why you find that when you get early recognition it seems to sterilize you.

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Computer scientists stand on each other's feet.

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Science is composed of laws which were originally based on a small, carefully selected set of observations, often not very accurately measured originally; but the laws have later been found to apply over much wider ranges of observations and much more accurately than the original data justified.

Apply, Data, Justified, Law, Science, Wider