Is Motion Continuous According to Xeno's Paradoxes?

[sd01g]

In the classical sense, Zeno's paradox is resolved by infinitesimal calculations.
This however is no longer a resolution in respect with quantum physics.
Although I don't have reference here, QM resolves the Zeno (pseudo) paradoxes also, but in a different way.

Why would one use QM when dealing with quarks that move at Zeno speed?

 

[xantox]

Why would one use QM when dealing with quarks that move at Zeno speed?

Because Achille's position cannot be measured infinitely sharply.

 

[whatta]

That philosophers are still struggling Zeno's paradox illustrates, to me, the utter arrogance and utter uselessness of philosphy. If a physicist, after scribbling on a white board for the better part of a day, finally arrived at the conclusion v_{\text{light}}=0, said physicist would say "#@$&! Where did I make my stupid mistake?" If a mathematician, after building a new callus by fiddling with math on paper all day long, finally arrived at the conclusion 0=1, said mathematician would utter a similar four-word remark and begin a hunt for the stupid mistake. Fast vehicles overtake slow ones, arrows fly through the air. Why don't philosophers similarly say, "where is my stupid mistake?"

If philosophers were programmers, their programming language would include new control structure, "what if".

 

[heusdens]

Because Achille's position cannot be measured infinitely sharply.

More specifically, because of Heizenberg uncertainty relationship.