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Ancient Greece (Greek: Ἑλλάς, romanized: Hellás) was a civilization belonging to a period of Greek history from the Greek Dark Ages of the 12th–9th centuries BC to the end of antiquity (c. AD 600). Immediately following this period was the beginning of the Early Middle Ages and the Byzantine era.Roughly three centuries after the Late Bronze Age collapse of Mycenaean Greece, Greek urban poleis began to form in the 8th century BC, ushering in the Archaic period and colonization of the Mediterranean Basin. This was followed by the period of Classical Greece, an era that began with the Greco-Persian Wars, lasting from the 5th to 4th centuries BC. Due to the conquests by Alexander the Great of Macedon, Hellenistic civilization flourished from Central Asia to the western end of the Mediterranean Sea. The Hellenistic period came to an end with the conquests and annexations of the eastern Mediterranean world by the Roman Republic, which established the Roman province of Macedonia in Roman Greece, and later the province of Achaea during the Roman Empire.

Classical Greek culture, especially philosophy, had a powerful influence on ancient Rome, which carried a version of it to many parts of the Mediterranean Basin and Europe. For this reason, Classical Greece is generally considered to be the seminal culture which provided the foundation of modern Western culture and is considered the cradle of Western civilization.

Classical Greek culture gave great importance to knowledge. Science and religion were not separate and getting closer to the truth meant getting closer to the gods. In this context, they understood the importance of mathematics as an instrument for obtaining more reliable ("divine") knowledge. Greek culture, in a few centuries and with a limited population, managed to explore and make progress in many fields of science, mathematics, philosophy and knowledge in general.

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