Contributor(s): Professor Paul Glendinning, Dr Charlotte Werndl | Chaos research has been hailed as having led to revolutionary scientific advances. This dialogue between a philosopher and a mathematician will highlight the insights gained from research about unpredictability and the evolution of mathematical ideas. Paul Glendinning is professor of applied mathematics at the School of Mathematics, University of Manchester. Charlotte Werndl is lecturer in philosophy at the Department of Philosophy, Logic and Scientific Method at LSE.