- #1

Chris S

- 23

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- TL;DR Summary
- "Zeno's paradox" is not actually a paradox.

Zeno's paradox claims that you can never reach your destination or catch up to a moving object by moving faster than the object because you would have to travel half way to your destination an infinite number of times. The two conflicting elements in this paradox are: 1) We do reach destinations; and 2) we can't travel an infinite number of half way points to a destination. We can't prove that one element is incorrect by citing the other element (e.g., "I can travel infinite half way points because I actually do reach my destination."] This statement non-sensically states that one of two conflicting apparent facts is false because the other apparent facts is an apparent fact. We already know that both elements are apparent facts, and restating that one of them is an apparent fact doesn't demonstrate which element is false. To solve the apparent paradox, we must find the flaw in one of the elements. The flaw is in the notion that we can't travel an infinite number of half way points.

While it is true that there are an infinite number of "half way" points between a starting location and a destination at another location, these half way points are measurements of distance. Although there are an infinite number of measurements within a total distance, the total distance is not infinite. We can travel an infinite number of smaller measured distances while traveling a total distance that is not infinite. The task does not require us to travel an infinite distance. Thus, there is no actual paradox at all. The most important characters related to Zeno's apparent paradox are not the tortoise and its friends; it's the "elephants in the room": the orange and apples that shouldn't be compared.

While it is true that there are an infinite number of "half way" points between a starting location and a destination at another location, these half way points are measurements of distance. Although there are an infinite number of measurements within a total distance, the total distance is not infinite. We can travel an infinite number of smaller measured distances while traveling a total distance that is not infinite. The task does not require us to travel an infinite distance. Thus, there is no actual paradox at all. The most important characters related to Zeno's apparent paradox are not the tortoise and its friends; it's the "elephants in the room": the orange and apples that shouldn't be compared.