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How did Galileo theory of falling bodies challenge the Socratic view of falling bodies?

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How did Galileo theory of falling bodies challenge the Socratic view of falling bodies?

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Actually, this probably was intended to be a comparison of Gallilean and Aristotlean views on mechanics. According to http://galileoandeinstein.physics.virginia.edu/lectures/gal_accn96.htm Aristotle believed that “the speed of fall was proportional to the weight, and inversely proportional to the density of the medium the body was falling through” while Galileo’s approach to falling bodies is described by “A falling body accelerates uniformly: it picks up equal amounts of speed in equal time intervals, so that, if it falls from rest, it is moving twice as fast after two seconds as it was moving after one second, and moving three times as fast after three seconds as it was after one second.” By successfully challenging the Church’s view that Aristotle’s views on physics were truth incarnate, and using the scientific method, carrying out experiments to prove his points, Galileo opened the door to later scientists such as Newton to fully develop the mathematical tools needed, and the phys

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