That is quite a cool train of thought.. Though the intelligence you describe sounds very much like creativity. .. im not sure if they are linked together though i do have the idea that people who are creative most of the time (not always ;D) find problem-solving to be entertaining as it challenges their creative part of the brain..
That's a good point, it actually is very similar to creativity. Only creativity is unconstrained while intelligence is more linked to problem solving.
I agree @hr1
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