Hypatia led a Neoplatonic school in Alexandria that taught philosophy, mathematics, and astronomy as a unified curriculum in the tradition of Plotinus and Porphyry, and produced mathematical commentaries, including work on Diophantus's "Arithmetica" and an edition of Apollonius's "Conics," that helped preserve and transmit advanced Hellenistic mathematics. Her public teaching and murder by a Christian mob amid Alexandria's political and religious conflict made her a lasting symbol of classical philosophy's fate under Christianizing imperial power.
Intellectual setting
Hypatia taught during escalating conflict in Alexandria between the Roman prefect Orestes and the Christian bishop Cyril, and was murdered in 415 CE by a mob of Christian parabalani amid this power struggle, in which her prominence as a pagan philosopher close to Orestes made her a target.
Key ideas
Unified teaching of philosophy and mathematical science
Hypatia trained students, including her correspondent Synesius of Cyrene, in Neoplatonic philosophy alongside mathematics and astronomy as complementary disciplines within a single course of study, continuing the Plotinian tradition of using mathematics to prepare the mind for metaphysical understanding.
Transmission of Hellenistic mathematics
Hypatia's commentary on Diophantus's "Arithmetica" and her work on Apollonius's "Conics" clarified and helped preserve difficult Hellenistic mathematical texts for later transmission through late antiquity into the medieval world.
Legacy
Hypatia is one of the best-documented women philosophers of antiquity and became an enduring symbol of the violent suppression of classical philosophical learning during the Christianization of the late Roman Empire, discussed extensively in the history of women in philosophy and science.