I don't think that Zeno's paradox IS "explained" by the calculus.
I would say that mathematics is full of a lot fascinating "what-ifs."
Mathematicians say what if we pretend statement is true. Does this
contradict anything facts that we know to be true? If not, then plow ahead.
For instance, what if we pretend we can find the square root of negative one.
Does the existence of such a number contradict anything? Nope.
Tadaa!: Complex Analysis. Non-Euclidean Geometry is another example.
Throwing out the parallel postulate doesn't seem to harm geometry, so go
ahead.
Zeno's paradox is only a paradox under the assumption that we cannot
perform a process an infinite number of times. What Liebniz and Newton did
was ask the question "What if we CAN perform a process an infinite number
of times?" Under this assumption there is no paradox.
Just my opinion.
Dan Galvin
College Skills Center
SUNY Morrisville
Morrisville, NY
galvindp@snymorva.cs.snymor.edu
"Eschew obfuscation."