Boiling water without heating it can be achieved by manipulating pressure and creating a vacuum. When a liquid is boiled, it transitions from liquid to vapor at its boiling point, which is influenced by atmospheric pressure. A demonstration involving a flask showed that by removing air and then applying an ice cube, water can boil at lower temperatures. This illustrates that reducing pressure can lower the boiling point of water. Overall, understanding the relationship between pressure and boiling is key to this phenomenon.