Friday, July 19, 2019

Numerology, Intuition, Anthropomorphism

As has been previously discussed, Pythagoreanism is fundamentally Numerology, from which Mathematics and Geometry are derived.  Correspondingly, insofar as the Cognition involved with Mathematics and Geometry is Reason, that involved with Numerology is Intuition.  Thus, each of the Numbers, as well as a relation between them such as a Ratio, is intuited, not calculated.  Now, Kant, an exemplary Rationalist, agrees that Mathematics and Geometry are based in Intuition.  However, in his system, Intuition is a Human faculty, not shared by a divine Mind, the sole faculty of which is Reason, because it is the faculty of a finite being.  So, Kant also agrees with Protagoras, rather than Pythagoras, that Man is indeed the measure of all things Mathematical and Geometrical.  Thus, in the case of Numerology, Protagoras' famous thesis expresses less Relativism than Anthropomorphism.

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