I agree, but although I compare chess to mathematics and logic, I don't compare chess players to mathematicians and scientists. Getting really good at a game is a more abstract thing, whereas a scientist or mathematician is clearly defined as such by his specific knowledge of the subject. In other words, you can learn many chess-specific things that apply largely to just chess; things that mainly just increase your "chess intelligence." Although it's true that the experience of getting better at chess must train certain areas of the brain in serendipity, it's on a very general level.
higher math is VERY abstract....chess is concrete compared to that stuff
It might be, although it's kind of hard to believe, given how abstract chess is . Maybe it's a tie?
No, I agree with you, browni. I'm just saying that to be one of those things, you have to have a certain kind of knowledge (so you kind of have to be smart in a way), whereas in chess, you don't (which is why I don't think ciljettu's anology is sufficient). That doesn't mean I think scientists and mathematicians give up creativity in addition to knowledge.
I also think that chess is pattern based, and it doesn't necessarily take extreme intelligence to develop a ton of them; in my opinion, a substantial portion of chess skill results from a desire to learn, and a certain maturity to learn from your mistakes. That builds up patterns, and once you've seen a complicated mate, that you understand, thousands of times, it doesn't seem complicated anymore.