A postulate is a statement that is accepted as true without proof, serving as a foundational element in a logical framework or theory. In mathematics, postulates are used to build theorems and are essential for developing a coherent system of reasoning. For example, Euclid's postulates form the basis of Euclidean geometry. In science, postulates can guide hypotheses and experiments. They help establish assumptions that researchers agree upon to explore further. For instance, the postulates of atomic theory provide a basis for understanding the nature of matter and its interactions, allowing scientists to develop more complex theories.