> even advanced mathematics is based on elementary (not school) principles.
But elementary mathematics does not operate with such thing as infinity.
That's you don't know how to deal with it.
> And Achilles will over take the tortoise; its physics, not philosphy.
Yes, you can witness it.
And author of this problem knew Achilles will over take the tortoise. That's why he named it "paradox".
But you're too dull to solve this scientific problem.
You end up "extremely small" distance between Achilles and the tortoise which never becomes zero. You believe in "absolute precise" numbers, and zero as something imprecise like 1/infinity does not fit your religion.
Sorry for you.
BTW, in ancient Greece they used name "philosophy" for all science.
It's another thing you missed in school.