You and Your Research (1986)
Kontext: 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.
Zitate Richard Hamming
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
„Are you sure you are not merely "programmed" in life by what by chance events happens to you?“
The Art of Doing Science and Engineering: Learning to Learn (1991)
Kontext: When you take a course in Euclidean geometry is not the teacher putting a... learning program into you?... You enter the course and cannot do problems; the teacher puts into you a program and at the end of the course you can solve such problems.... Are you sure you are not merely "programmed" in life by what by chance events happens to you?
„Only when field maintenance is part of the original design can it be safely controlled“
The Art of Doing Science and Engineering: Learning to Learn (1991)
Kontext: The more complex the designed system the more field maintenance must be central to the final design. Only when field maintenance is part of the original design can it be safely controlled... This applies to both mechanical things and to human organizations.
„The idea that theorems follow from the postulates does not correspond to simple observation.“
The Unreasonable Effectiveness of Mathematics (1980)
Kontext: The idea that theorems follow from the postulates does not correspond to simple observation. If the Pythagorean theorem were found to not follow from the postulates, we would again search for a way to alter the postulates until it was true. Euclid's postulates came from the Pythagorean theorem, not the other way around.
The Art of Doing Science and Engineering: Learning to Learn (1991)
Kontext: The people at the bottom do not have the larger, global view, but at the top they do not have the local view of all the details, many of which can often be very important, so either extreme gets poor results.
„This text is organized in the "spiral" for learning. A topic… is returned to again and again“
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Kontext: This text is organized in the "spiral" for learning. A topic... is returned to again and again, each time higher up in the spiral. The first time around you may not be completely sure of what is going on, but on the repeated returns to the topic it should gradually become clear. This is necessary when the ideas are not simple but require a depth of understanding...
„They are learned by the constant use of the language and cannot be taught in any other fashion.“
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Kontext: Mathematics, being very different from the natural languages, has its corresponding patterns of thought. Learning these patterns is much more important than any particular result... They are learned by the constant use of the language and cannot be taught in any other fashion.
„Either you will be a leader, or a follower, and my goal is for you to be a leader.“
Preface
The Art of Doing Science and Engineering: Learning to Learn (1991)
„Transmission through space (typically signaling) is the same as transmission through time“
storage
The Art of Doing Science and Engineering: Learning to Learn (1991)
The Art of Doing Science and Engineering: Learning to Learn (1991)
„Perhaps thinking should be measured not by what you do but by how you do it.“
The Art of Doing Science and Engineering: Learning to Learn (1991)
The Art of Doing Science and Engineering: Learning to Learn (1991)
Quelle: The Art of Probability for Scientists and Engineers (1991), p. 298
Quelle: The Art of Probability for Scientists and Engineers (1991), p. 4 [emphasis in original]
„Calculus is the mathematics of change. …Change is characteristic of the world.“
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
The Art of Doing Science and Engineering: Learning to Learn (1991)
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
The Art of Doing Science and Engineering: Learning to Learn (1991)
