ABSTRACT
The author proposes to examine at length and in considerable detail the flying arrow paradox and concludes his paper with a more general discussion of the remaining three paradoxes of motion: the stadium, the dichotomy, and the Achilles and the tortoise. On the hypothesis that the paradox is about a fact of nature and its proof either correct or incorrect we get nowhere. Philosophical mathematicians have remained deadlocked for a surprising number of centuries. A philosopher some time ago made the remark that ordinary language should be changed because it permits the concoction of such wild things as the Zeno paradoxes, because it gives birth, so to speak, to such linguistic monsters. The stadium paradox, which purports to demonstrate that half of an instant of time is equal to the whole of the instant, expresses the same linquistic complaint against the mathematical use of 'instant'.
