There are inherent limits in classical computation for it to serve as an adequate model of human cognition. In particular, non-commutativity, while ubiquitous in physics and psychology, cannot be sufficiently handled. We propose that we need a new mathematics that is capable of expressing more complex mathematical structures to tackle those hard X-problems in cognitive science. A quantum mind approach is advocated and we hypothesize a way in which quantum computation might be realized in the brain.
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