Frases de Richard Hamming

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Richard Hamming

Fecha de nacimiento: 11. Febrero 1915
Fecha de muerte: 7. Enero 1998

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Richard Wesley Hamming fue un matemático estadounidense que trabajó en temas relacionados con la informática y las telecomunicaciones. Sus principales contribuciones a la ciencia han sido el código Hamming, la ventana Hamming y la distancia Hamming.

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Frases Richard Hamming

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„It is the same as an art course.“

— Richard Hamming
Context: There is no unique, correct answer in most cases. It is a matter of taste, depending on the circumstances... and the particular age you live in.... Gradually, you will develop your own taste, and along the way you may occasionally recognize that your taste may be the best one! It is the same as an art course.

„Without continuous mathematics, the study of discrete mathematics soon becomes trivial and very limited. ...The two topics“

— Richard Hamming
Context: Increasingly... the application of mathematics to the real world involves discrete mathematics... the nature of the discrete is often most clearly revealed through the continuous models of both calculus and probability. Without continuous mathematics, the study of discrete mathematics soon becomes trivial and very limited.... The two topics, discrete and continuous mathematics, are both ill served by being rigidly separated.

„There is simply too much known to continue the older approach of giving detailed results.“

— Richard Hamming
Context: We intend to teach the doing of mathematics. The applications of these methods produce the results of mathematics (which usually is only what is taught)... There is also a deliberate policy to force you to think abstractly... it is only through abstraction that any reasonable amount of useful mathematics can be covered. There is simply too much known to continue the older approach of giving detailed results.

„Rigor is not a yes-no property of a proof... it is a vague standard of careful treatment that is currently acceptable to a particular group.“

— Richard Hamming
Context: When you yourself are responsible for some new application in mathematics... then your reputation... and possibly even human lives, may depend on the results you predict. It is then the need for mathematical rigor will become painfully obvious to you.... Mathematical rigor is the clarification of the reasoning used in mathematics.... a closer examination of the numerous "hidden assumptions" is made.... Over the years there has been a gradually rising standard of rigor; proofs that satisfied the best mathematicians of one generation have been found inadequate by the next generation. Rigor is not a yes-no property of a proof... it is a vague standard of careful treatment that is currently acceptable to a particular group.

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„There is no unique, correct answer in most cases. It is a matter of taste“

— Richard Hamming
Context: There is no unique, correct answer in most cases. It is a matter of taste, depending on the circumstances... and the particular age you live in.... Gradually, you will develop your own taste, and along the way you may occasionally recognize that your taste may be the best one! It is the same as an art course.

„Great scientists tolerate ambiguity very well.“

— Richard Hamming
Context: Most people like to believe something is or is not true. Great scientists tolerate ambiguity very well. They believe the theory enough to go ahead; they doubt it enough to notice the errors and faults so they can step forward and create the new replacement theory. If you believe too much you'll never notice the flaws; if you doubt too much you won't get started. It requires a lovely balance.

„In science if you know what you are doing you should not be doing it.
In engineering if you do not know what you are doing you should not be doing it.“

— Richard Hamming
Context: In science if you know what you are doing you should not be doing it. In engineering if you do not know what you are doing you should not be doing it. Of course, you seldom, if ever, see either pure state.<!-- (1997), p. 5

„They are not fixed for all eternity.“

— Richard Hamming
Context: The assumptions and definitions of mathematics and science come from our intuition, which is based ultimately on experience. They then get shaped by further experience in using them and are occasionally revised. They are not fixed for all eternity.

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