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Abstract
Many physicists claim that the Planck length, ℓp, is the smallest unit possible. Anything smaller than that would see time and space as constituents of reality breaking down. Does ℓp block the infinite series of steps allegedly required for a supertask? The question we will address is: “If it does, how?” A full explication of the logical mechanics of the paradoxes of motion, utilizing a soritically reductive approach, seems to be lacking in the current literature. Taken in isolation, recursive soriticality is the slipperiness of the slippery slope fallacy. A keen eye can see its use not even in lay political polemics, but also in contemporary physics. Planck not only solves an ancient problem, but also inadvertently draws our attention to the wisdom of older forms of thought.