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Those Eureka Moments
Phoe6 writes "If you're one of those insufferable people who can finish the Saturday New York Times crossword puzzle, you probably have a gift for insight. The puzzles always have an underlying hint to solving them, but on Saturdays that clue is insanely obtuse. If you had all day, you could try a zillion different combinations and eventually figure it out. But with insight, you'd experience the usual clueless confusion, until--voilà--the fog clears and you get the clue, which suddenly seems obvious. The sudden flash of insight that precedes such "Aha!" moments is characteristic of many types of cognitive processes besides problem-solving, including memory retrieval, language comprehension, and various forms of creativity. Although different problem-solving strategies share many common attributes, insight-derived solutions appear to be unique in several ways. PLoS Biology explains the Neural Basis of Solving Problems with Insight.
The Complete Research Article is here."
I find the best thing to do is walk away from the problem for a while - could be for a cup of coffee or you could sleep on it etc. Either you look at the problem again and you just see the answer, or you are brushing your teeth and you suddenly have the answer in your head! Don't ask me why.. IANABS (I Am Not A Brain Scientist!!)
The puzzles always have an underlying hint to solving them, but on Saturdays that clue is insanely obtuse.
Saturday NYT puzzles frequently don't have themes.. That usually makes them harder.
I disagree. Look at how some people find picking up new languages (I'm not talking computer languages, although the same principles probably apply) really easy, and other people of similar apparent intelligence seem to have a complete inability do this.
It must be down to differences in thinking. During my bike ride across France, I found that after only a couple of days of "immersion", I was thinking and dreaming in French, despite having a relatively limited knowledge of the language. I'm not claiming to be elitist (should that be 31337157 round these parts?), but I'm sure that some people clearly have a particular gifting for languages.
Ydco co
Actually, thought processes are quite different among people. Growing up in different cultures, and speaking different languages can bring about very distinct ways of thinking about things. Even among similar people, family environments shape the way we process information. Even within one family, if one child is raised on puzzles and interactive games with strategies, s/he will most likely grow up with a vastly different thought proces than one brought up on television. There's still so much about the brain we don't understand, it's impossible to say we all think alike.
I would say that the potential for insight is the same in all humans but the ability we have for insight depends on how much we practice using it. It's like a muscle -- use it and it builds; stop using it and it deteriorates.
N4st0r, trixx0r h0bb1tz0rz! Th3y st0l3 0ur pr3c10uzz!
Subjects pressed a button to indicate whether they had solved the problem using insight, which they had been told leads to an Aha! experience characterized by suddenness and obviousness.
So really, how would one solve a word problem without insight? Did any of the participants solve it by writing a dictionary searching algorithm into their PDA? Did they open a dictionary and start checking answers systematically? ("Bart, Cart, Dart, Eart... Nope, can't see any problem with that!")
In my own experience it just seems like it's the obscurity of the answer that makes it seem insightful or not. If I had read the three words and instantly known the answer I don't think I would have felt the Aha! moment that I felt after staring at it for a minute. So am I less insightful if I solve it faster?
pineapple, crabapple applesauce
I know I'm just echoing the AC, but I'm going to bull through anyway :) I have a math degree, and I had a lot of eureka classes. You were taking the wrong ones. In fact, it seems to me you would have to go out of your way to take math classes that were grind instead of eureka.
Differentiation (basic calculus) is a grind. You learn a few simple rules and apply them. Integration, beyond the most basic, is all eureka. You learn a few rules, but they all require insight into how to rearrange the thing you're integrating so it fits a pattern.
My favorite classes were about proofs. A proof is all eureka. A proof is a series of simple, basic steps that takes you from the given to the thing you're trying to prove. However, finding which basic steps go together to get what you want is all eureka. Many times in graduate level math courses I would work on a problem until midnight, go to sleep, wake up at 3am with the solution to the problem, write it down, & finish the problem in the morning. The interesting thing to me about proofs is that virtually always the way to prove the answer you want is to prove something much, much more powerful, of which the answer you want is a minor subset. It's as if your engineering teacher tells you to design a power source that can provide 1.5 volts for a day, and the easiest way you can find to do it is to build a Mr. Fusion. For example, to prove that all groups with 113 members are really the same group with different names for the elements, the easiest way is to prove that all groups with a prime number of elements hold that quality.
"If Edison had a needle to find in a haystack, he would proceed at once
with the diligence of the bee to examine straw after straw until he found
the object of his search.
I was a sorry witness of such doings, knowing that a little theory
and calculation would have saved him ninety per cent of his labour. "
(Nikola Tesla, New York Times, October 19, 1931)