Hypatia of Alexandria lived in one of the most important cities of the late Roman world, a place of libraries, schools and crowded harbors. Born around the middle of the fourth century, she was the daughter of Theon, a mathematician who worked on the texts of earlier Greek scholars. Hypatia became a teacher of mathematics, astronomy and philosophy, and she led a school in the Neoplatonic tradition, which drew on Plato, Plotinus and their followers. She is remembered as one of the first women in history to be known for scientific and philosophical work, and her death in 415 CE has become a symbol of the violence of her age. Because she wrote little that survives directly, much of what we know about her comes from later writers, letters and the memories of her students. This makes her story rich but also partly uncertain. Still, the outline of her life is clear enough to offer a meaningful lesson about reason, learning and courage. Geometry as a Ladder In the Neoplatonic view, the w...