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?
[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?