Quote: in Zeno's argument there is an infinite number of steps but not an infinite amount of time; instead, a derivative concerns the ratio of infinitesimals

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And so, although there are an infinite number … [Zeno's] argument) to the point at which Achilles reaches the tortoise, … [p.8-4] The foregoing definition [of speed] involves a new … was to take an infinitesimal distance and the … we use gets smaller and smaller and smaller. …   Google-1   Google-2

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Quote: the scientific definition of speed is the ratio of infinitesimal distance over infinitesimal time as the time gets smaller and smaller; not known to the Greeks

Related Topics

Topic: physics (48 items)
Topic: infinity and infinitesimal (37 items)