PHIL 29640 Mathematics in the History of Philosophy
What is the object of mathematics? Where does mathematics derive its certainty from? Does it originate from the pure intellect or from empirical experience? Why is mathematics miraculously efficacious” in its application to nature? What is lost and gained in the development of mathematics and how does it shape our worldview? These have been central issues that philosophers since the Antiquity have occupied themselves with, and in many ways, they have shaped the trajectory of the history of philosophy. Philosophers’ answers to these questions have constantly evolved in light of the development of the mathematical sciences as well as the intellectual context of each generation. This course introduces classical texts and debates on the above-mentioned epistemological issues, including the writings of Aristotle, Descartes, Kant, Helmholtz, Frege, Husserl, and beyond.
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