Zeno's Paradoxes in the Mechanical World View

Abstract

There is a very reason to consider that to solve Zeno's paradoxes is to propose the theory of mechanical world view. We believe that this is not only our opinion but also most philosophers' opinion. Recently, in order to justify Heisenberg`s uncertainty principle (cf. Rep. Math. Phys Vol. 29, No. 3, 1991) more firmly. we proposed the linguistic interpretation of quantum mechanics (called quantum and classical measurement theory), which was characterized as the metaphysical and linguistic turn of the Copenhagen interpretation. This turn from physics to language does not only extend quantum mechanicsto classical systems but also yield the (quantum and classical) mechanical world view (and therefore, establish the method of science). If it be so, we may assert that Zeno's paradoxes (Flying Arrow Paradox, Achilles and the tortoise, etc.) were already solved in measurement theory. The purpose of this paper is to examine this assertion.