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Zeno of Elea

495 435 BC

Two more principal ideas in relation to motion are:

  • A flying arrow is at rest. At any given point in time the arrow is in a space equal to its length. Hence it is at rest at that time and at rest at all points in time. The sum of these infinite points in time is not a motion.
  • Take three arrows, 1,2 and 3. Let arrow 2 be stationary, arrow 1 move to the right past 2 and arrow 3 move to the left past 2, at the same rate. This leads to arrow 1 moving past arrow 3 at twice the given rate. If we are to assume that time and space are atomistic, then this doubling leads to a contradiction. 

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