“A change of perspective is worth 80 IQ points”
michaelnielsen.org
michaelnielsen.org
Here's a good example of the total blindness that focus can cause. [Ed: shasta beat me to it] http://www.youtube.com/watch?v=2pK0BQ9CUHk; pretend there's money on it (like this guys presentation had) and focus on it hard.
Remember, magicians rely on misleading your focus for their entire acts. Watch the coin hidden in my right hand, when I really slipped it into my left hand and dropped it into my pocket and oh look the coin is gone. Is it behind your right ear? Oh no I took it out of my pocket and look it's behind your left ear!
For example, the methods of analytic geometry and calculus let you solve problems mechanically that would be difficult or even impossible by other means. That's great if you're just trying to get an answer. It's not so great when you realize after executing a rigorous calculus proof of Snell's Law that you are not an inch closer to understanding why Snell's Law is really true. You turned yourself into an unthinking piece of machinery.
This applies not only to calculus. Most people who can execute the algorithms for calculating with fractions or solving linear equations don't actually understand what they're doing. They want an answer and they get it.
Here's the full quote:
"At PARC we had a slogan: 'Point of view is worth 80 IQ points.' It was based on a few things from the past like how smart you had to be in Roman times to multiply two numbers together; only geniuses did it. We haven't gotten any smarter, we've just changed our representation system. We think better generally by inventing better representations; that's something that we as computer scientists recognize as one of the main things that we try to do."
Intellectually, we may know that this is not so, but we take it so much for granted that it’s built into our language."
We do?
"It tells us that intellectual capacities aren’t innate, they can be dramatically changed by shifts in our perspective."
It does?