Chess is a game of memory and pattern recognition. Logic has little to do with it. The only difference between the players is experience and the varying levels of these two abilities. Intuitive players rely on intuition because either their working memory is not on par, or they don't recognise the patterns at play. The logic of chess is actually extremely rudimentary, and all humans possess this ability to an adequate degree.
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but the varying abilities to integrate logic into their thinking varies skill levels also. it is interesting the varying degrees of integrating logic and intuition. that makes chess so fascinating.