[jamesrcole]

Calculus doesn't resolve the paradox. It's just a tool, and it doesn't involve any literal division of anything into infinities. You're making a map vs. territory mistake.

[edit] i can't reply to monjaro's comment, so I'll put my reply here: does calculus prove that there are actually an infinite number of positions between any two positions?

[Jach]

The map vs. territory issue at hand depends on whether you take Zeno's paradoxes to be statements about physics or statements about logic. If it's the latter, calculus resolves those with ease. If it's the former, well, then you have to look at the physics. And the physics are described in our maps by math which includes differential equations of complex numbers, and hence the paradoxes are again resolved as best as we're capable unless some new representation of physics comes along that makes the paradoxes manifest.

[monjaro]

As a response to your edit, no it doesn't. So what? If you can infinitely divide space in the manner of Zeno's paradox, then the sum is well defined and easy to do. If you can't, the paradox doesn't apply to reality. What's the problem?

[ajuc]

If you don't belive you can apply calculus to solve the problem what makes you believe you can use division or addition to define the problem? These are tools too.

[monjaro]

Calculus is a tool for reasoning about exactly this kind of thing. If you think there is an actual paradox present, please explain what it is.