Steve Patterson | Why Calculus Does Not Solve Zeno's Paradoxes @StevePatterson | Uploaded March 2020 | Updated October 2024, 20 hours ago.
Contrary to what you might have heard, calculus does not solve Zeno's paradoxes. The concepts of "convergence" and "limits" do not explain how infinite series can be completed.
Calculus explains how Achilles gets *arbitrarily close to* the tortoise, but it doesn't explain how he can overtake it.
The resolution to Zeno is simple: space isn't infinitely divisible. There is a base unit.
With discrete space, Zeno's paradoxes pose no logical problems.
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Or, you can support with Bitcoin Cash: qp35pt4qlgskgg05zjuuy84udnnhw4ma7vrn05qjfz
Contrary to what you might have heard, calculus does not solve Zeno's paradoxes. The concepts of "convergence" and "limits" do not explain how infinite series can be completed.
Calculus explains how Achilles gets *arbitrarily close to* the tortoise, but it doesn't explain how he can overtake it.
The resolution to Zeno is simple: space isn't infinitely divisible. There is a base unit.
With discrete space, Zeno's paradoxes pose no logical problems.
Check out more at: steve-patterson.com
If you think this content is worth $1, please check out my Patreon page to support the creation of more videos like this:
patreon.com/stevepatterson
Or you can enter Amazon through: goo.gl/ftfFLg
Or, you can support with Bitcoin Cash: qp35pt4qlgskgg05zjuuy84udnnhw4ma7vrn05qjfz
