The Moving Rows (The Stadium)

The Moving Rows (The Stadium)

Release Date:  //-460
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Medium:  Paradox
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Release Message:  It takes a body moving at a given speed a certain amount of time to traverse a body of a fixed length. Passing the body again at that speed will take the same amount of time, provided the body's length stays fixed. Authored by Zeno.
Description:  It takes a body moving at a given speed a certain amount of time to traverse a body of a fixed length. Passing the body again at that speed will take the same amount of time, provided the body's length stays fixed. Zeno challenged this common reasoning. According to Aristotle (Physics, Book VI, chapter 9, 239b33-240a18), Zeno considered bodies of equal length aligned along three parallel racetracks within a stadium. One track contains A bodies (three A bodies are shown below); another contains B bodies; and a third contains C bodies. Each body is the same distance from its neighbors along its track. The A bodies are stationary, but the Bs are moving to the right, and the Cs are moving with the same speed to the left. From Aristotle: concerning the two rows of bodies, each row being composed of an equal number of bodies of equal size, passing each other on a race-course as they proceed with equal velocity in opposite directions, the one row originally occupying the space between the goal and the middle point of the course and the other that between the middle point and the starting-post. This involves the conclusion that half a given time is equal to double that time. For an expanded account of Zeno's arguments as presented by Aristotle, see Simplicius' commentary On Aristotle's Physics.