>>11554067>Planck units mean universe is discreteI'm not claiming that this necessarily means this, just this this is a possibility we can't completely rule out on some level, thought there are plenty of good objections to this. The OP does seem to imply this, but I'm not claiming that the result actually follows.
>there is no term for "infinity" in ancient greekThe Greeks were still able to develop methods of exhaustion using series with unbounded elements which converge, so the principles were understood and studied in Greek mathematics by a certain point, and it still stands that Zeno's goal was to use the hypothetical (though probably actual) properties of continuous motion to show that such constructions *are* possible and applicable to moving bodies. Zeno never attempted to show that motion, as perceived, doesn't happen, rather it it taken for granted that this is possible, otherwise it wouldn't be observed and we would not be able to live as we do. The point is that, given clearly things do move, he argues that motion as we perceive it (as a continuous process) must be in some sense illusory, because it must pass through a series of steps *without a sequential endpoint* even though all the steps together do not exceed a finite extend in space or time. Now, you may disagree that this results in any actual inconsistencies, but it's important to understand the actual point, which is not something that is refuted by techniques which assign values to series, as this possibility is not what is being disputed.
