Zeno's Paradox of the Arrow Considered

zeno's paradox of the arrow considered:

in this paradox, Zeno states that a flying arrow is motionless, for assuming time consists of instants, in each instant it occupies a certain space only and is considered at rest, and therefore the popular notion of motion is impossible.

now the general conclusion from zeno's paradoxes of motion is that time and space are not infinitely divisible, therefore that the infinitesimal has no real existence and belongs only to the abstract fields of mathematics.

again, let everything that is be called matter. it is matter that fills space. and we consider space to be finitely divisible. the simplest theory is that this matter is made up of a finite number of individual least bits of matter, each only one thing to be considered, and the smallest distance is the size of the smallest least bit of matter.

what time is, fundamentally, is change in this matter. and we consider change to be discrete, if time is not infinitely divisible.

what Zeno states is, in my opinion, entirely on the right track. if we see an object move across our field of vision, what is happening in front of us is that, pixel by pixel, the image is shifting one pixel across, in moments, to merely give the illusion of motion. because we consider change to be discrete, time does indeed consist of instants. at any one instant, for the whole of that instant, only one state of a least bit of matter holds, and in the next, it is suddenly another.

CLEARCHARGE