Boiling water can restart under specific conditions, particularly if atmospheric pressure changes. When cold water is poured on the outside of a dish, it may create a local low-pressure area, potentially allowing water near its boiling point to boil again. The material of the dish plays a crucial role, as it must insulate well to prevent immediate cooling of the water inside. The discussion raises questions about the reliability of such an experiment and the specific conditions under which it occurs. Overall, while it's not a general rule that cooling the outside of a container causes boiling, certain circumstances could allow it to happen.