Above all, innovation is not invention. It is a term of economics rather than of technology.
What humans do with the language of mathematics is to describe patterns.
Mathematics is the science of patterns.
What humans do with the language of mathematics is to describe patterns. . . To grow mathematically children must be exposed to a rich variety of patterns appropriate to their own lives through which they can see variety, regularity, and interconnections.
Mathematics is often defined as the science of space and number. . . it was not until the recent resonance of computers and mathematics that a more apt definition became fully evident: mathematics is the science of patterns.
Philosophically, mathematics is not a part of science. Mathematics studies patterns, science studies nature
For most problems found in mathematics textbooks, mathematical reasoning is quite useful. But how often do people find textbook problems in real life? At work or in daily life, factors other than strict reasoning are often more important. Sometimes intuition and instinct provide better guides; sometimes computer simulations are more convenient or more reliable; sometimes rules of thumb or back-of-the-envelope estimates are all that is needed.
Rhythm is something you either have or don't have, but when you have it, you have it all over.
A good laugh is a mighty good thing, a rather too scarce a good thing.
Obviously it's easier when I' m doing the adapting myself. But my feeling is, your potential upside far outweighs the downside. Ultimately, they [moviemakers] can't change your book. Your book remains on the shelf the way you wrote it. If they make a great movie of your book, then you have the equivalent of millions and millions of dollars of advertising for your book. If the movie's not that good, that doesn't mean the book's not good. It doesn't change what you've already written. It has the potential to reach more people.
I don't think there's a lot of dispute for this. You can argue that we didn't get everything done that we wanted to get done, but I can make a really strong argument, and I think prove, that by almost every measure the country's better off now than when I started.