By the fifth century, the inquiring Greeks of Ionia and Italy had essentially formulated the great questions that underpin ancient and much modern science and philosophy: What is the nature of the world and of existence? How do we learn things and know them for certain? How do we explain human behavior? They had questioned the existence of the Olympian gods, at least as Homer and Hesiod portrayed them, and the effectiveness of traditional ritual; they had invented natural science and advanced the understanding of mathematics. A fascinating combination of circumstances made sixth-century Ionian
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