Paradox of the Grain of Millet

Paradox of the Grain of Millet

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Medium:  Paradox
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Release Message:  A single grain of millet makes no sound upon falling, but a thousand grains make a sound. Authored by Zeno.
Description:  There are two common interpretations of this paradox. According to the first, which is the standard interpretation, when a bushel of millet (or wheat) grains falls out of its container and crashes to the floor, it makes a sound. Since the bushel is composed of individual grains, each individual grain also makes a sound, as should each thousandth part of the grain, and so on to its ultimate parts. But this result contradicts the fact that we actually hear no sound for portions like a thousandth part of a grain, and so we surely would hear no sound for an ultimate part of a grain. Yet, how can the bushel make a sound if none of its ultimate parts make a sound? The original source of this argument is Aristotle Physics, Book VII, chapter 4,æ250a19-21). There seems to be appeal to the iterative rule that if a millet or millet part makes a sound, then so should a next smaller part. Aristotle's refutation: Zeno is wrong in saying that there is no part of the millet that does not make a sound: for there is no reason why any such part should not in any length of time fail to move the air that the whole bushel moves in falling. In fact it does not of itself move even such a quantity of the air as it would move if this part were by itself: for no part even exists otherwise than potentially. Description of the paradox from the Routledge Dictionary of Philosophy: The argument is that a single grain of millet makes no sound upon falling, but a thousand grains make a sound. Hence a thousand nothings become something, an absurd conclusion.[17] Description from Nick Huggett: This is a Parmenidean argument that one cannot trust one's sense of hearing. Aristotle's response seems to be that even inaudible sounds can add to an audible sound.[18]