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There have to be certain first principles (such as the existence of numbers or other mathematical postulates) that are just simply taken without question: these are hypotheses. These first principles, however, derive from other first principles; the higher region of the intelligible world encompasses these first principles. So you can see that the lower region derives from the higher region in that the thinking in the lower region derives from the first principles that make up the higher region, just as the mirror reflects a solid object. When one begins to think about first principles (such as, how can you prove that numbers exist at all?) and derives more first principles from them until you reach the one master, first principle upon which all thought is based, you are operating in this higher sphere of intellection...
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