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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.

Summary of Joseph Mazur's The Motion Paradox

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