Richard Hamming: Result

Richard Hamming was American mathematician and information theorist. Explore interesting quotes on result.
Richard Hamming: 180   quotes 1   like

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

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
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.

“It is easy to measure your mastery of the results via a conventional examination; it is less easy to measure your mastery of doing mathematics”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Context: It is easy to measure your mastery of the results via a conventional examination; it is less easy to measure your mastery of doing mathematics, of creating new (to you) results, and of your ability to surmount the almost infinite details to see the general situation.

Mathematics

“In the face of almost infinite useful knowledge, we have adopted the strategy of "information regeneration rather than information retrieval." …most importantly, you should be able to generate the result you need even if no one has ever done it before you”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Context: In the face of almost infinite useful knowledge, we have adopted the strategy of "information regeneration rather than information retrieval."... most importantly, you should be able to generate the result you need even if no one has ever done it before you—you will not be dependent on the past to have done everything you will ever need in mathematics.

Knowledge

“If the prior distribution, at which I am frankly guessing, has little or no effect on the result, then why bother; and if it has a large effect, then since I do not know what I am doing how would I dare act on the conclusions drawn?”

Richard Hamming

Source: The Art of Probability for Scientists and Engineers (1991), p. 298

“Probability is too important to be left to the experts. […] The experts, by their very expert training and practice, often miss the obvious and distort reality seriously. […] The desire of the experts to publish and gain credit in the eyes of their peers has distorted the development of probability theory from the needs of the average user. The comparatively late rise of the theory of probability shows how hard it is to grasp, and the many paradoxes show clearly that we, as humans, lack a well grounded intuition in the matter. Neither the intuition of the man in the street, nor the sophisticated results of the experts provides a safe basis for important actions in the world we live in.”

Richard Hamming

Source: The Art of Probability for Scientists and Engineers (1991), p. 4 [emphasis in original]

World , Reality , Training

“The methods of mathematics are the main topic of the course, not a long list of finished mathematical results with such highly polished proofs that the poor student can only marvel at the results, with no hope of understanding how mathematics is actually created by practicing mathematicians.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Hope , Mathematics , Understanding

“Without real experience in using the computer to get useful results the computer science major is apt to know all about the marvelous tool except how to use it. Such a person is a mere technician, skilled in manipulating the tool but with little sense of how and when to use it for its basic purposes.”

Richard Hamming

One Man's View of Computer Science (1969)

Sense , Science , Personality

“There is no agreed upon definition of mathematics, but there is widespread agreement that the essence of mathematics is extension, generalization, and abstraction… [which] often bring increased confidence in the results of a specific application, as well as new viewpoints.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Confidence , Mathematics

“Unfortunately… the ADA language was designed by experts, and it shows all the non-humane features you can expect from them. It is… a typical Computer Science hacking job—do not try and understand what you are doing, just get it running. As a result of this poor psychological design… although a government contract may specify the programming be in ADA, probably over 90% will be done in FORTRAN, debugged, tested, and then painfully, by hand, be converted to a poor ADA program, with a high probability of errors!”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Error , Understanding , Science

“Great results in science and engineering are "bunched" in the same person too often for success to be a matter of random luck.”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Science , Success , Personality

“Formal proofs, where there is deliberately no meaning, can convince only formalists, and of the results they themselves seem to deny any meaning. Is that to be the mathematics we are to use to understand the world we live in?”

Richard Hamming

Source: Mathematics on a Distant Planet (1998), p. 645

World , Mathematics , Understanding

“It is easy to measure your mastery of the results via a conventional examination; it is less easy to measure your mastery of doing mathematics, of creating new (to you) results, and of your ability to surmount the almost infinite details to see the general situation.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Mathematics