According to my classification, the hierarchy of realities is visible reality, concievable reality, and ultimate reality, investigated by physicists, mathematicians, and philosophers respectively. Even the visible reality at the bottom of the hierarchy is too complex for us humans to understand. While the ancient mystics had always recognized this fact, it is only in the twentieth century logicians have totally accepted it. For more details and connected matters, see
http://www.e-atheneum.net/science/RealSetTheory.pdf
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