Abstract
Before I introduce some of Descartes' perspective into a discussion of Zeno's First Paradox of Motion, I would first like to restate in general what Zeno's First Paradox of Motion is. Essentially, Zeno says that, in order for motion from point A to point B to occur, one half of that distance must first be traveled. In order for one half of that distance to be traveled, one fourth of that distance must first be traveled, and in order for one fourth to be traveled, one eighth must be traveled, and so on ad infinitum. Since the distance to be traveled can be divided infinitely by the above process, it seemed to Zeno that it would be impossible to ever start traveling a given distance, and that ordinary motion is impossible: hence the Paradox. Descartes himself took a rather dim view of all those who discussed and tried to solve the First Paradox of Motion. His essential feeling on the matter was that:
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