Practice question · Multiple choice
A convergent series demonstrates that an infinite sequence of shrinking intervals yields a finite total. What follows from this mathematical result for Zeno's project?
Hints
- Does calculating a finite sum explain how a runner physically finishes infinitely many distinct acts?
- Which of Zeno's paradoxes relies on what occurs at a single instant rather than adding intervals?
Show the answer
C. It settles the duration of the journey whilst leaving the supertask unresolved
Why
Convergent series account for total duration, but modern philosophers still dispute whether performing infinitely many distinct sub-tasks is coherent. Furthermore, the Arrow targets the nature of motion at an instant, an issue untouched by series summation.
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.…
- Which claims about the modern treatment of Zeno’s paradoxes are correct?
- 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.