Not sure why the above comment was downvoted to -15. It's a fair question, even if the person asking seems to misinterpret both quantum mechanics and mathematical logic. Quantum mechanics seems to be an accurate description of the "lower levels" of the agent's model of the universe, and mathematical logic is a useful meta-model that helps us construct better quality models of the universe. They are not, as far, as I know, interrelated, and there is no "hence". Additionally, while quantum mechanics is a good description of the microscopic world, it is much less useful at the level of living organisms (though ion channel opening and closing reflects the underlying quantum-mechanical tunneling), so there is no indication that human thinking is inherently quantum mechanical and could not be some day implemented by a classical computer without a huge complexity penalty.