After the united states bought the Philippians archipelago from the Spanish in a sum of 20 million dollars, the US occupation of the Philippines has been significant for molding the nation towards its independence. One of its major proponents is American leaders like Roosevelt and Twain who granted the Philippine Islands sovereignty.
I believe postulates are given or assumed true statements without a proof. And a theorem can be proven. You do this in geometry if I remember correctly.
Both dynasties revived the trade system along the silk road