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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.

Marvin Minsky

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Marvin Minsky
Age: 88 †
Born: 1927
Born: August 9
Died: 2016
Died: January 24
Artificial Intelligence Researcher
Computer Scientist
Mathematician
Scientist
University Teacher
New York City
New York
Marvin Lee Minsky
Marvin L. Minsky
Problem
Perform
Calculus
Technique
Partial
Solve
Fractions
Parts
Arithmetic
Smart
Integration
Particular
Tricky
Simple
Domain
Used
Unlike

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I cannot articulate enough to express my dislike to people who think that understanding spoils your experience... How would they know?
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You don't understand anything unless you understand there are at least 3 ways.
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Common sense is not a simple thing. Instead, it is an immense society of hard-earned practical ideas - of multitudes of life-learned rules and exceptions, dispositions and tendencies, balances and checks.
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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.
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What magical trick makes us intelligent? The trick is that there is no trick. The power of intelligence stems from our vast diversity, not from any single, perfect principle.
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Once the computers got control, we might never get it back. We would survive at their sufferance. If we're lucky, they might decide to keep us as pets.
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Everything is similar if you're willing to look far out of focus.
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Everything, including that which happens in our brains, depends on these and only on these: A set of fixed, deterministic laws.
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But the big feature of human-level intelligence is not what it does when it is works but what it does when it's stuck.
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Experience has shown that science frequently develops most fruitfully once we learn to examine the things that seem the simplest, instead of those that seem the most mysterious.
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Eventually, robots will make everything.
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It would be as useless to perceive how things 'actually look' as it would be to watch the random dots on untuned television screens.
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An ethicist is somebody who sees something wrong with whatever you have in mind.
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One can acquire certainty only by amputating inquiry.
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All intelligent problem solvers are subject to the same ultimate constraints - limitations on space, time, and materials.
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In general, we’re least aware of what our minds do best.
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I believed in realism, as summarized by John McCarthy's comment to the effect that if we worked really hard, we'd have an intelligent system in from four to four hundred years.
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There was a failure to recognize the deep problems in AI for instance, those captured in Blocks World. The people building physical robots learned nothing.
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Will robots inherit the earth? Yes, but they will be our children.
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Anyone could learn Lisp in one day, except that if they already knew Fortran, it would take three days.
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