Knowledge is theoretical when its goal is neither production nor action but simply truth. Theoretical knowledge includes all that we think of as science, and in Aristotle's view it contained by far the greatest part of the sum of human knowledge. It subdivides into three species: 'There are three theoretical philosophies -- mathematics, natural science, and theology'. He was intimately acquainted with contemporary mathematics, as any student of Plato's would be, and Books XIII and VI of the Metaphysics are acute essays on the nature of numbers, but he was not a professional mathematician and he did not pretend to have advanced the subject.
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