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According to Simplicius, Diogenes the Cynic said nothing upon hearing Zeno's arguments, but stood up and walked, in order to demonstrate the falsity of Zeno's conclusions. [25] [2] To fully solve any of the paradoxes, however, one needs to show what is wrong with the argument, not just the conclusions. Throughout history several solutions have ...
The hindrance of a quantum system by observing it is usually called the Quantum Zeno effect as it is strongly reminiscent of Zeno's arrow paradox. [ 32 ] [ 33 ] In the field of verification and design of timed and hybrid systems , the system behavior is called Zeno if it includes an infinite number of discrete steps in a finite amount of time.
The book is presented in a dictionary format. The book is divided into headwords, which, as the title suggests, run from Abracadabra to Zeno's paradoxes. The book also provides diagrams and illustrations.
Patricia Curd states that the chronology of pre-Socratic philosophers is one of the most contentious issues of pre-Socratic philosophy. [1] Many of the historical details mentioned by Plato, Diogenes Laertius, or Apollodorus are generally considered by modern scholarship to be of little value, [1] and there are generally few exact dates that can be verified, so most estimates of dates and ...
Zeno's argument takes the following form: Motion is a supertask, because the completion of motion over any set distance involves an infinite number of steps; Supertasks are impossible; Therefore, motion is impossible; Most subsequent philosophers reject Zeno's bold conclusion in favor of common sense.
Brian Massumi shoots Zeno's "philosophical arrow" in the opening chapter of Parables for the Virtual: Movement, Affect, Sensation. Philip K. Dick's short science-fiction story "The Indefatigable Frog" concerns an experiment to determine whether a frog which continually leaps half the distance to the top of a well will ever be able to get out of ...
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Zeno's paradoxes state that if one were to examine individual moments of an object moving in a given direction, (as with an arrow flying towards a target) or overtaking a second, slower object, (as with Achilles challenging a tortoise to a race) one would not actually be able to find a moment of the act of change or motion taking place, thus proving Zeno's view of motion as illusory and ...