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An Idea for Zeno’s Paradox
The object which moves from point A to point B is always on the half way to the destination.
Today, I have watched the video of Barış Özcan, a popular Turkish Youtuber located in USA. He talks about the Zeno’s Paradoxes. His video, made me think about an explanation for his paradoxes as well. But first, if you do not know Zeno’s Paradoxes, you can read the information about one of Zeno’s Paradoxes that I gathered from Wikipedia.
Dichotomy Paradox
Suppose Atalanta wishes to walk to the end of a path. Before she can get there, she must get halfway there. Before she can get halfway there, she must get a quarter of the way there. Before traveling a quarter, she must travel one-eighth; before an eighth, one-sixteenth; and so on.
The resulting sequence can be represented as:
This description requires one to complete an infinite number of tasks, which Zeno maintains is an impossibility.
As a result, Zeno infers that nothing actually moves.
When Diogenes heard about this, he did say anything. He just got up and started walking to show that Zeno’s conclusion is wrong.
Archimedes applied the method of exhaustion and, he showed that the distance(which goes to infinity by the sum of halves) that should be taken converges to a finite number.
