Explain how motion is possible in light of Zeno's paradoxes against Research Paper

Explain how motion is possible in light of Zeno's paradoxes against them. (This is much harder than most people realize. Math - Research Paper Example The race set in a traditionally plural world provokes a reader to draw the conclusion of the race according to the rule of the singular reality ultimately to be confounded with the result that is contradictory to his expected traditional result. Indeed Achilles can move both in a singular and a plural world, but the motion in a singular world is not perceivable since such world does not have any object of references (Whitehead 45). Definitions of Singular and Plural Universe Before defining the proposed singular and plural world thesis, it is necessary to have a clear idea of Zeno’s paradoxes of plurality. In Zeno’s word, â€Å"the universe is singular, eternal, and unchanging. The all is one.† (Brown 34) But this singular universe has a lot to do with his paradoxes of motion. In this singular universe, if Achilles takes a step toward any direction from any from where is, he will find himself where he was. This statement essentially seems to fabulous, since it is quite contradictory to real life experience. But a deeper understanding makes sense. Indeed Zeno’s singular universe is such that it consists of the only One, not of two. As a result, it is as it is. Since it consists of one, it does not provide a viewer with any chance to compare it with other. Therefore it lacks diversity. Because of its lack of diversity and presence of the others, it does not have any objects of references by which distance can be measured and any event cannot take place in it. Again because of the lacks of distance and event, space and time collapse in such a world. In it .00000000001 meter is equal to infinity; but more accurately, the previous statement is simply meaningless. In such universe whether Achilles moves one hundred miles or so back or forth, he will be where he is now. Wherever Achilles goes at what distance, he will remain at the center since such singular universe evolves out of his singular existence. Indeed, there are no â€Å"earlyâ €  and â€Å"later†. Simply there exists the â€Å"now† since there is no other event in term of which the ‘early’ can assigned a meaning. In Zeno’s singular world, one is both existent and non-existent. One is existent is the sense that it perceives itself in a self-submerged merged way and again it is nonexistent in the sense that there is no other that can prove its existence. (Grunbaum 172-83) Indeed this singular universe is one and at the same time it is many, since such one contains infinite number of ones upon its division for infinite times. Therefore one is both finite and infinite, as Zeno says, â€Å"If there are many, they must be as many as they are and neither more nor less than that. But if they are as many as they are, they would be limited. If there are many, things that are are unlimited.† (Simplicius On Aristotle's Physics, 140.29) Indeed in Zeno’s universe, one is the one. Therefore it does not have the possibil ity to join with other to produce the bigger one. The only thing that the one can do is to divide itself and upon the division, the plurality begins. Since plurality begins, relativity can grow giving birth to the sense of distance and events. As a result time starts from here. But the simplest plural world is composed of three ones, since if the simplest plural world is composed of two, they will be mirror images for each others. For example, if