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I think there are hard problems and easy problems, and smarts reflects ones ability to solve hard problems. So, the question should be how does one solve hard p
by chegra 5y ago
I think there are hard problems and easy problems, and smarts reflects ones ability to solve hard problems.
So, the question should be how does one solve hard problems?
The solutions to any problem can trivially be found by searching through the possible solutions and checking which solution works. The problem with this approach is that it is intractable space. Thus, the main ways that we traverse the search space of solutions is limiting the search space and by pattern matching. [Think in terms of chess where the search space is large to find the best possible move...The way they get around it is by simply reducing the search space and pattern matching.]
Consequently, a smart person would be one who has developed intuition about a problem enough to limit the search space of the available solutions and has a vast collection of patterns to draw from that will aid in the problem solving process.
He did touch on one point with all extraordinary genius, they were all obsess. I think this fosters having enough intuition about a problem and having a toolbox of patterns necessary to solve hard problems. Is there any genius without a vast toolbox of techniques to solve problems? Is there any genius without a supreme understanding of his problem area?
Having intuition and huge toolbox for solving problems we know are necessary conditions for solving hard problems, but are they sufficient conditions?
- VirusNewbie 5y agoGood comment. I think that maybe what you're getting at is the intuition on particular problems is not necessarily correlated to high IQ beyond a minimum threshold. From everything I've read, almost every contemporary of Von Neumann says he was the 'smartest' person they ever met. It seems his brain just worked at a completely different clock speed than normal people, even normal geniuses. However, while is contributions are immense and widespread, I don't think they come close to the utterly astounding work of Godel. While Godel was insanely smart, he also just looked at the world in a very unusual way that let him see certain meta axioms that have profound implications for pretty much every scientist and philosopher. I don't know if it was circumstance that led him to a special tool box, or obsession, or a certain spark of creativity everyone else lacked, but there's something worth exploring there.