Pythagoras lived around 570 to 495 BCE during a time of significant intellectual and cultural development in ancient Greece. This era, known as the Pre-Socratic period, was marked by the emergence of philosophy, mathematics, and the beginnings of scientific thought. City-states like Athens and Miletus were flourishing, and there was a growing interest in understanding the natural world through reason and observation rather than mythology. Pythagoras and his followers contributed to mathematics, particularly with the development of concepts related to numbers and geometry, which laid the groundwork for future mathematical theories.
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