The Greeks lived in independent city-states due to the mountainous terrain covering most of Greece. They developed into seafaring people and admired beauty, expressing it through their art and literature. Greeks believed that man could achieve great things through rational thought and physical abilities. They made many scientific and mathematical contributions, including democracy, the philosophies of Socrates, Plato and Aristotle, and advances in medicine, geometry, and physics. The Greeks sought ideal forms of expression over realistic imitation and made influential works in architecture, drama, mythology, history, and more.