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Hypatia held a teaching chair in Philosophy. She was particularly known for teaching (what we now call) Neo-platonism. She taught mathematics as a discipline for the mind that would allow students to better comprehend philosophy. Two good books on Hypatia are Hypatia of Alexandria by Maria Dzielska (Harvard University Press, 1995) and Hypatia of Alexandria: Mathematician and Martyr by Michael A. B. Deakin (Prometheus Books, 2007.) I've reviewed both books on my blog and have a number of other posts on Hypatia.

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