History of Philosophy Without Any Gaps

HoP 008 - You Can't Get There From Here - Zeno And Melissus

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Nov 22, 2010
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ANECDOTE

Zeno's Tennis Court Paradox

  • Zeno illustrated motion paradoxes by imagining walking across a tennis court with infinite halfway points to cross.
  • This analogy shows how infinite tasks can seem to make motion impossible, provoking deep philosophical inquiry.
INSIGHT

Zeno's Contradiction on Multiplicity

  • Zeno aimed to show that belief in change and multiplicity leads to contradiction, not merely to spot errors.
  • His paradoxes argue that if things are many, they must be both finite and infinite, which is impossible.
INSIGHT

Resolving the Infinite Tasks Paradox

  • Zeno's paradox of the dichotomy argues infinite subdivisions make motion impossible due to infinite tasks.
  • Aristotle counters by dividing time similarly to distance, so infinite subdivisions don't require infinite time.
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