Zeno of Elea's Attacks on Plurality, 1942
By: Fraenkel, Hermann
Title Zeno of Elea's Attacks on Plurality
Type Article
Language English
Date 1942
Journal The American Journal of Philology
Volume 63
Issue 1
Pages 1-25
Categories no categories
Author(s) Fraenkel, Hermann
Editor(s)
Translator(s)
In recent decades students of mathematics, philosophy, and the classics have again and again raised their voices 1 to vindicate the serious importance of Zeno's paradoxes of motion (Vorsokr.2 29 A 25-28 - Lee,3 nos. 19-36), not even excluding the Stadium. No longer can the problem implied in the paradoxes be disposed of by simply pointing out that time and space are equally divisible. The question which is at the bottom of all four of them is far more profound. [...] Fur- thermore, it has been shown that Aristotle, when qriticizing the paradoxes, was not concerned conscientiously to adjust his objec- tions to that which the historical Zeno had tried to prove, or rather disprove. [...] If it is thus established that Zeno's syllogisms must not necessarily be condemned as a futile play of dialectics 6 and that Aristotle's censure fails to do Zeno justice, a road seems to be open to a full rehabilitation and, perhaps, glorification. But one doubt remains. How adequately did the real Zeno actually deal with the problems he had in hand? And how sincere was he about them? [pp. 1 f.]

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  • PAGE 1 OF 1
Zeno of Elea's Attacks on Plurality, 1942
By: Fraenkel, Hermann
Title Zeno of Elea's Attacks on Plurality
Type Article
Language English
Date 1942
Journal The American Journal of Philology
Volume 63
Issue 1
Pages 1-25
Categories no categories
Author(s) Fraenkel, Hermann
Editor(s)
Translator(s)
In  recent  decades  students  of  mathematics,  philosophy,  and 
the classics have again and again raised their voices 1  to vindicate 
the  serious importance of  Zeno's paradoxes of  motion  (Vorsokr.2 29 A 25-28 - Lee,3 nos. 19-36),  not even excluding the  Stadium. 
No  longer  can the  problem implied  in  the  paradoxes be disposed of by simply pointing out that time and space  are  equally divisible. The  question  which  is  at  the  bottom  of  all  four  of 
them  is  far  more profound. [...] Fur- 
thermore, it  has  been shown that  Aristotle,  when  qriticizing the 
paradoxes, was not  concerned conscientiously to  adjust his  objec- tions  to  that  which  the  historical  Zeno had  tried  to  prove,  or 
rather disprove. [...] If  it  is 
thus  established that  Zeno's syllogisms  must  not  necessarily be 
condemned as  a  futile play  of  dialectics 6  and  that  Aristotle's 
censure fails  to  do  Zeno justice,  a  road  seems to  be  open  to  a 
full rehabilitation  and,  perhaps,  glorification. But  one  doubt 
remains. How  adequately did  the  real  Zeno actually  deal with 
the  problems he  had  in  hand? And  how  sincere was  he  about 
them? [pp. 1 f.]

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