Part 5/7:
Despite the contradictory nature of these paradoxes, they open the door to meaningful mathematical discussions—particularly in the realm of limits. When we consider an infinite series of decimal places or distances, each progressively smaller than the last, we can approach a finite sum.
For example, when calculating the distance to a wall, even as subdivisions decrease infinitely, the total can converge to a specific value. This can be explained through the concept of limits in calculus, where as we divide a quantity into smaller increments, the total sum of those increments can reach a defined limit.