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I like this explanation. Every other argument I've seen against Zeno's paradox either takes as a given that an infinite series can converge to a finite sum (whi
by Calavar 4y ago
I like this explanation. Every other argument I've seen against Zeno's paradox either takes as a given that an infinite series can converge to a finite sum (which I don't think is a self evident truth) or relies on theorems about infinite sums that weren't rigorously proven until well over 1000 years later. This is the only counterargument I've seen that seems like it would have held up in Zeno's time.
- Quekid5 4y agoI like this point, but I'm not sure exactly how well concepts such as velocity and time, etc. were understood. They were certainly thinking about it, but even the idea of no action meaning constant motion (without other forces) was about 1500+ years away. I think Zeno might have invented calculus if it weren't for the fact that math wasn't even nearly sophisticated[1] enough to admit any sensible formalization of the ideas. [1] Perhaps it was even just because the power of symbolic algebra hadn't been fully realized. Geometry and logic only takes you so far.