Geometry classes today tend to treat axioms and postulates as synonyms; however, there were distinctions between these two ideas. What were the distinctions made by Greek mathematicians? Axioms were accepted as truth, but postulates had to be proven. Postulates applied to all sciences, while axioms were for specific studies. Axioms applied to all sciences, while postulates were for specific studies. Postulates were accepted as truth, but axioms had to be proven.