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.
Interpretation
Science evolves from limited observations into broader, more accurate laws over time.
Richard Hamming's quote emphasizes the foundational aspect of scientific laws, which emerge from specific observations that may not be precise. Over time, these laws are tested and refined, revealing their broader applicability and increasing accuracy, showcasing the dynamic nature of scientific inquiry and understanding.
In practice
In a scientific seminar discussing the evolution of theories based on initial observations.
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.
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.
If you don't work on important problems, it's not likely that you'll do important work.
Beware of finding what you're looking for._x000D_ _x000D_ A favorite aphorism he often used.
One of the characteristics of successful scientists is having courage. Once you get your courage up and believe that you can do important problems, then you can. If you think you can't, almost surely you are not going to.
Put glibly:_x000D_ _x000D_ In science if you know what you are doing you should not be doing it._x000D_ _x000D_ In engineering if you do not know what you are doing you should not be doing it._x000D_ _x000D_ Of course, you seldom, if ever, see either pure state.
An Experiment, like every other event which takes place, is a natural phenomenon; but in a Scientific Experiment the circumstances are so arranged that the relations between a particular set of phenomena may be studied to the best advantage.
All our science is just a cookery book, with an orthodox theory of cooking that nobody's allowed to question, and a list of recipes that mustn't be added to except by special permission from the head cook.
A lot of scientists hate writing. Most scientists love being in the lab and doing the work and when the work is done, they are finished.
I learnt to distrust all physical concepts as the basis for a theory. Instead one should put one's trust in a mathematical scheme, even if the scheme does not appear at first sight to be connected with physics. One should concentrate on getting interesting mathematics.
It is a good principle in science not to believe any 'fact'---however well attested---until it fits into some accepted frame of reference. Occasionally, of course, an observation can shatter the frame and force the construction of a new one, but that is extremely rare. Galileos and Einsteins seldom appear more than once per century, which is just as well for the equanimity of mankind.
Coal is the single greatest threat to civilization and all life on our planet.
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