Imagine an arrow moving in empty space. You note its position at a given time, then you wait a while and note the position again. This position can be noted at any number of dimensions - 3d / 2d / 1d, it makes no difference. Now assuming that the arrow has travelled a distance greater than 0, you can divide the distance it travelled by two. Now divide the distance you got by two again, again and again. You can theoretically keep on doing that an infinite amount of times on a geometrical scale and obtain infinitely small values.
But if the arrow had to pass through an infinite amount of points, does it not mean it took it an infinite amount of time to get where it is?
My brother told me about this paradox, and as I obviously disagree that whether this might be true in geometry or not, it definitely doesn't apply to reality. Is it just impossible to get an infinite amount of points between the two points? The strange thing here is when you try to "add up" all the infinitely small values you got together to get the original distance as a result. inf x 1/inf =? Where is the original distance even defined in there? Now remember im just a human n all (unlike gust) so he will probably find a flaw in my argument, i need more time to think about this, and not at 3 AM like now.