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, and Zeno tacitly avoided the required velocity notion in any motion to arrive at his famous paradox. … Does Zeno's Paradox hold the simplest key to understand and thus explain the widely-held continuous spacetime belief in physics? …

After recently watching a couple of videos on supertasks and Achilles-turtle paradox, I'm curious - could Zeno's paradox be considered a "proof" that physically there has to be a smallest unit of length … Because at least physically, the paradox is resolved if we make that assumption. I'm sure the above is nothing novel, but I want to know why exactly an argument like above may not work. …

So, in modern terms, what the paradox says is that the velocity of the arrow in "motion" at any instant $t$ (a duration-less duration) of time is '$0$'. I read a solution to this logical paradox. … What is the standard modern science solution to understand this logical paradox? …

Do Physicists know it or is it still a paradox? …

I have heard two analogies, the light bulb one appears to allow for movement whilst the chess piece one seems to violate zenos paradox. Whilst is a better example? … http://plato.stanford.edu/entries/paradox-zeno/#Sta …

.; Misra, B. (1977) "The Zeno's paradox in quantum theory", Journal of Mathematical Physics 18 (4): 756–763) respectively its empirical observation (such as by Wineland 1989 or by Raizen 2002). … Assume measuring the state of a system every second causes a zeno effect and measuring every three seconds causes an anti-zeno effect. …

This will predict that the ball will be at rest at time=2, after enduring an infinite number of bounces (a variation of the zeno paradox). … But contrary to zeno paradox, here the bounces can in principle be physically measured. …

Specifically, if time is quantized, would it resolve the dichotomy paradox in a physical sense? … Is there any known law that would disprove either of these explanations for Zeno's dichotomy paradox? If so, is there a better way of physically (not mathematically) resolving the paradox? …

And that reminds me of Zeno paradox. …

Here are the two paradoxes (for those unaware): Zeno's paradox "A similar paradox arises if the past is infinite. If there exists an infinite past, we would never have the present day. … The most famous problem that arises from the existence of an actual infinite is the Hilbert’s Hotel paradox. …

I've also heard of the calculus approach and limits, but i don't see how the paradox is resolved since limits tell you what happens as you approach a value not at that value itself. …

The argument, as evident, is in the zeno version. But, I am not able to come out of this cage. What is going wrong in this argument? Can the particle never reach non-terminating decimal form value? …

Can we refer the half life of radioactive materials as another form of Zeno's paradox. Half and half and half forever. …

I believe you're asking about a paradox in the style of Zeno's paradoxes. Your paradox is most similar to 'Paradox of the Grain of Millet'. …

With a continuous frame rate the wavefunction will just be perpetually 0 at the screen which leads to the quantum zeno paradox. … However as probably_someone stated, it would also increase the number of 'trials' thereby actually speeding up the time of arrival, this is known as the quantum anti zeno effect. …