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Abstract: Scholars of the history of ancient
philosophy have been hesitant to attribute particular
characteristics to those Pythagoreans called
“mathematical” by Aristotle. Aristotle himself,to be
sure, not only felt it important to distinguish this
type of Pythagorean from the more traditional
“acousmatic” type, but he also invested in this
distinction the basic tenets of his own philosophical
methodology regarding the pursuit of knowledge from
first principles. In this chapter, I describe the
philosophical system (pragmateia) of the
mathematical Pythagoreans by analyzing and comparing
the accounts of Pythagoreanism in both the surviving
treatises of Aristotle (especially Metaphysics)
and the fragmentary works on the Pythagoreans preserved
in Iamblichus’ On the General Mathematical
Science and On the Pythagorean Way of Life.
This is the newest version of the first chapter of a
book-length study in which I describe the philosophical
and political history of the mathematical Pythagoreans
and their influence on Plato’s later thought. |