This sounds familiar. Since every point between your nose and your computer monitor has the property X, that there exists another point between it and your computer monitor, no matter how many points you move your nose through, there’s always more points it must go through before reaching the computer monitor. This is why, no matter how you try, you can never touch your nose to a computer monitor.
It’s not a Zeno’s paradox. You CAN touch the screen, if there is no obstacle between.
But here it’s a different story. Every sphere is shadowed, has an obstacle between itself and the incoming ray.
The finite amount of obstacles where there is then the outer obstacle—and everything is fine. Ray bounces back of this outer/unshadowed reflective sphere.
Pretty much like the Yablo’s list. If there is the last member of the list, everything is just fine.
If there is the last member of the list, everything is just fine.
There is no last point between your nose and your monitor.
Let me pose a different problem, to demonstrate what I think is wrong with your argument.
You start with a reflective square slab that is half as thick as it is wide. You place another slab, which is half as thick as the first on top, then another half as thick as that. You continue doing this until your stack of slabs is as tall as it is wide. If you direct an ideal ray at this slab, along the symmetry axis of the stack, what does the ray do?
This situation is, once constructed, identical to the first ray described in your problem (the one that hits the face of the cube), but your argument would imply that the ray won’t reflect back, because whichever slab it would reflect from has another slab shadowing it.
This sounds familiar. Since every point between your nose and your computer monitor has the property X, that there exists another point between it and your computer monitor, no matter how many points you move your nose through, there’s always more points it must go through before reaching the computer monitor. This is why, no matter how you try, you can never touch your nose to a computer monitor.
It’s not a Zeno’s paradox. You CAN touch the screen, if there is no obstacle between.
But here it’s a different story. Every sphere is shadowed, has an obstacle between itself and the incoming ray.
The finite amount of obstacles where there is then the outer obstacle—and everything is fine. Ray bounces back of this outer/unshadowed reflective sphere.
Pretty much like the Yablo’s list. If there is the last member of the list, everything is just fine.
There is no last point between your nose and your monitor.
Let me pose a different problem, to demonstrate what I think is wrong with your argument.
You start with a reflective square slab that is half as thick as it is wide. You place another slab, which is half as thick as the first on top, then another half as thick as that. You continue doing this until your stack of slabs is as tall as it is wide. If you direct an ideal ray at this slab, along the symmetry axis of the stack, what does the ray do?
This situation is, once constructed, identical to the first ray described in your problem (the one that hits the face of the cube), but your argument would imply that the ray won’t reflect back, because whichever slab it would reflect from has another slab shadowing it.
Look! Need not to be the last point. Zeno is resolved by infinite sums, which can give us finite numbers.
Yablo isn’t resolved and this is related to Yablo, not to Zeno paradox.