Practice question · Select all that apply
Which claims about the modern treatment of Zeno’s paradoxes are correct?
Hints
- Three describe what convergence does and does not settle; one misdescribes the paradoxes.
- Zeno made no arithmetic mistake, his reasoning was sound given what was available.
Show the answer
- B. The Arrow paradox is not resolved by summation
- C. This addresses the Dichotomy and the Achilles
- D. The infinite series of times converges to a finite total
Why
Convergence handles the two subdivision paradoxes and leaves the Arrow untouched, since the Arrow concerns what motion is at an instant rather than how intervals sum. Zeno made no arithmetic error at all.
Practise Zeno and Melissus
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More questions on Zeno and Melissus
- Why did Zeno construct the paradoxes, given that he did not expect anyone to stop believing in motion?
- Achilles runs at 10 metres per second and the tortoise at 1 metre per second with a 100 metre head start.…
- A convergent series demonstrates that an infinite sequence of shrinking intervals yields a finite total. What…
- Melissus agreed with Parmenides that what-is is complete and bounded, like a well-rounded sphere.
- Arrange the steps of the Achilles paradox in order.
- Sort each statement by whether it accurately describes Zeno’s paradoxes.