Why Calculus Does Not Solve Zeno's Paradoxes

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: http://www.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:

https://www.patreon.com/stevepatterson

Or you can enter Amazon through: http://goo.gl/ftfFLg

Or, you can support with Bitcoin Cash: qp35pt4qlgskgg05zjuuy84udnnhw4ma7vrn05qjfz ... https://www.youtube.com/watch?v=iU59S5JDpSU