system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Since you can always cut a distance in half, is there infinite distance between any two points?

So let's take an inch for example. Cut an inch in half and you have 1/2 an inch. cut that in half and you have .25 then .125 and so on. Does this mean that there is truly an infinite distance between any two points in space?
gpt
No. Even if you kept halving those distances an infinite amount of times until the distances became infinitesimal, if you added up all those infinitesimally small pieces you'd end up with the original length.

Edit: This is essentially the basis of calculus. You take something, chop it down to tiny tiny bits and then add up all those bits.