Cartwright earned her BSc from the University of Pittsburgh in mathematics and her Ph.D. in philosophy at the University of Illinois at Chicago (Congress Circle campus). Her thesis was on the concept of mixture in quantum mechanics. Before taking her current appointments, she taught at the University of Maryland, Stanford University and the London School of Economics. She has held visiting appointments at the University of Oslo, Princeton University, Caltech, the University of Pittsburgh, the University of Cambridge and UCLA. She is currently Tsing Hua Honorary Distinguished Chair Professor at the National Tsing Hua University in Taiwan and Visiting Research Fellow at Ca' Foscari University in Venice. She co-founded the Centre for Philosophy of Natural and Social Science (CPNSS) at the LSE and the Centre for Humanities Engaging Science and Society (CHESS) at the University of Durham.