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Aristotle's approach was not based on experimentation, or the controlled observation of physical phenomena. He concluded that if a question could be answered using reason alone, there was no reason to try to verify the answer by checking the behavior of the physical world. Galileo got his hands 'dirty', and was not afraid to make observations and devise ways to test hypotheses based on direct observation. He also mathematically quantified his observations.

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Q: What is the difference between Aristotle's science and Galileo's science?
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