You can never actually touch anything
According to zeno
No matter how small a distance is still left, we must travel half of it, and then half of what’s still remaining, and so on, ad infinitum. With an infinite number of steps required to get there, clearly we can never complete the journey. And hence, Zeno states, motion is impossible: that's zeno paradox
Once upon a time, an Ancient Greek philosopher named Zeno created a paradox that “denied” the possibility for movement. Here is how it goes:
If a person wants to travel from Point A to Point B, they must first walk half that distance in a finite amount of time. Thereafter, they must walk half the remaining distance again in another finite amount of time. Then, they must walk half of the remaining distance again, and so on. By continually halving the remaining distance, the person will walk an infinite interval of distances and still remain slightly away from their final destination. This also means that traveling between any two points will take an infinite amount of time. So in theory, all sorts of motion will be impossible.
Conclusion
Zeno’s Dichotomy Paradox is a great example showing how an infinite amount of numbers do not always sum up to infinity. The next time you get confused about sequences and series in math class, think about Zeno. Perhaps you can then realize that the infinite approach is finite after all.
