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Pythagoras influenced Plato significantly by introducing him to mathematical concepts and the idea that reality can be understood through numbers and relationships. This emphasis on mathematics led Plato to incorporate mathematical principles into his philosophical theories, particularly in his works like "The Republic," where he explores the idea of ideal forms and the role of mathematics in understanding the universe. Additionally, Pythagorean thought encouraged Plato to consider the harmony and order inherent in the cosmos, shaping his views on ethics, knowledge, and the nature of reality.

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