Zeno Beach.

On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: (1) the beach would be infinitely large; (2) the beach...

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Publicado en:Phronesis Vol. 65; no. 4; pp. 467 - 501
Autor principal: Rosen, Jacob
Formato: Artículo
Publicado: Brill Academic Publishers 2020
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Acceso en línea:Ver este registro en EBSCOhost
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        Aristotle, 384-322 B.C.
        Beaches
        Zeno's paradoxes
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          Aristotle, 384-322 B.C.
          Beaches
          Zeno's paradoxes
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        Aristotle
        continuity
        infinity
        mereology
      ab: On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: (1) the beach would be infinitely large; (2) the beach would be impossible to walk across; (3) the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of these arguments was Aristotle's. Indeed, perhaps Aristotle's finitism applied to magnitude only, not plurality.
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