This article suggests that the influence of philosophy of mind and metaphysics in the study of consciousness, has become excessive and is not well-founded. Metaphysical terms are often ill-defined and equivocal, and philosophy of mind relies largely on
weak, concrete arguments which lack the power of more abstract mathematical formulations. An example is given of a mathematical argument, the Three Worlds Problem, which cannot be adequately addressed or challenged within a traditional metaphysical framework
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