He instead suggests that Achilles must inevitably come up to the point where the tortoise has started from, but by the time he has accomplished this, the tortoise will already have moved on to another point. Common sense seems to decree that Achilles will catch up with the tortoise after exactly 1 second, but Zeno argues that this is not the case. However, the tortoise starts 0.9 metres ahead. Achilles chases a tortoise, an animal renowned for being slow, that moves at 0.1 m/s. Suppose that Achilles is the fastest runner, and moves at a speed of 1 m/s. Zeno himself also discusses the notion of what he calls " Achilles and the tortoise". They accept the possibility of motion and apply modus tollens ( contrapositive) to Zeno's argument to reach the conclusion that either motion is not a supertask or not all supertasks are impossible. Instead, they reverse the argument and take it as a proof by contradiction where the possibility of motion is taken for granted. Most subsequent philosophers reject Zeno's bold conclusion in favor of common sense. Motion is a supertask, because the completion of motion over any set distance involves an infinite number of steps.Zeno's argument takes the following form: Zeno further argues that supertasks are not possible (how can this sequence be completed if for each traversing there is another one to come?). Thus it follows, according to Zeno, that motion (travelling a non-zero distance in finite time) is a supertask. However many times he performs one of these "traversing" tasks, there is another one left for him to do before he arrives at B. To get from the midpoint of AB to B, Achilles must traverse half this distance, and so on and so forth. To achieve this he must traverse half the distance from A to B. He argued as follows: suppose our burgeoning "mover", Achilles say, wishes to move from A to B. The origin of the interest in supertasks is normally attributed to Zeno of Elea. The term "hypertask" derives from Clark and Read in their paper of that name. The term "supertask" was coined by the philosopher James F. A hypertask that includes one task for each ordinal number is called an ultratask. Supertasks are called hypertasks when the number of operations becomes uncountably infinite. In philosophy, a supertask is a countably infinite sequence of operations that occur sequentially within a finite interval of time. JSTOR ( May 2022) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed.
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