Summary of Joseph Mazur's The Motion Paradox

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#1 Zeno’s paradoxes are a series of arguments that contradict common sense and have been misunderstood for more than two and a half millennia. They raise a fundamental question about the universe: Are time and space continuous like an unbroken line, or do they come in discrete units, like a string of beads.

#2 Zeno’s paradoxes were absurd, and many thought so. They were considered embarrassments to mathematicians’ investigations of infinity and the continuum, and the Greeks abandoned such investigations.

#3 The paradox of the dichotomy is a demonstration that our understanding of motion is intricately tangled between the discrete and continuous impressions of time and space. We measure time as a duration and think of motion as continuous.

#4 Zeno of Elea, a philosopher who came to Athens from Croton in southern Italy, was reading from his famous book on philosophy. He argued that if a thing can be divided, its divided parts can also be divided and such divisions can continue indefinitely. From this, he concluded that change is not possible.

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