Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To believe otherwise is wishful thinking or "mathematics envy."
Listening to music engages the previously acquired personal knowledge of the listener.
We must see that music theory is not only about music, but about how people process it. To understand any art, we must look below its surface into the psychological details of its creation and absorption.
Logic doesn't apply to the real world. D. R. Hofstadter and D. C. Dennett (eds.) The Mind's I, 1981.
How many processes are going on, to keep that teacup level in your grasp? There must be a hundred of them.
Each practitioner thinks there's one magic way to get a machine to be smart, and so they're all wasting their time in a sense. On the other hand, each of them is improving some particular method, so maybe someday in the near future, or maybe it's two generations away, someone else will come around and say, "Let's put all these together," and then it will be smart.
To say that the universe exists is silly, because it says that the universe is one of the things in the universe. So there's something wrong with questions like, "What caused the Universe to exist?"
This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.
It would be as useless to perceive how things 'actually look' as it would be to watch the random dots on untuned television screens.
The nature of mind: much of its power seems to stem from just the messy ways its agents cross-connect. ...it's only what we must expect from evolution's countless tricks.
What would a Martian visitor think to see a human being laugh? It must look truly horrible: the sight of furious gestures, flailing limbs, and thorax heaving in frenzied contortions.
We turn to quantities when we can't compare the qualities of things.
When David Marr at MIT moved into computer vision, he generated a lot of excitement, but he hit up against the problem of knowledge representation; he had no good representations for knowledge in his vision systems.
We wanted to solve robot problems and needed some vision, action, reasoning, planning, and so forth. We even used some structural learning, such as was being explored by Patrick Winston.
But just as astronomy succeeded astrology, following Kepler's discovery of planetary regularities, the discoveries of these many principles in empirical explorations of intellectual processes in machines should lead to a science, eventually.
By the way, it was his simulations that helped out in Jurassic Park - without them, there would have been only a few dinosaurs. Based on his techniques, Industrial Light and Magic could make whole herds of dinosaurs race across the screen.
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