Switch to: References

Citations of:

Aristotle on the infinite

In Christopher Shields (ed.), Oxford Handbook of Aristotle. Oxford University Press. pp. 267 (2012)

Add citations

You must login to add citations.
  1. Potentiality and Actuality of the Infinite: A Misunderstood Passage in Aristotle’s Metaphysics.Hermann Weidemann - 2017 - Phronesis 62 (2):210-225.
    InMetaphysicsΘ.6, 1048b14-17, Aristotle treats the problem of what it is for the infinite to exist potentially, i.e. to be potentially actual. According to my interpretation, Aristotle argues that to exist potentially is for the infinite to have a potentiality which cannot be actualized in reality but only in thought, because it is a potentiality the process of whose actualization cannot be brought to an end.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  • Zeno Beach.Jacob Rosen - 2020 - Phronesis 65 (4):467-500.
    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: the beach would be infinitely large; the beach would be impossible to walk across; 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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • Avicenna on Mathematical Infinity.Mohammad Saleh Zarepour - 2020 - Archiv für Geschichte der Philosophie 102 (3):379-425.
    Avicenna believed in mathematical finitism. He argued that magnitudes and sets of ordered numbers and numbered things cannot be actually infinite. In this paper, I discuss his arguments against the actuality of mathematical infinity. A careful analysis of the subtleties of his main argument, i. e., The Mapping Argument, shows that, by employing the notion of correspondence as a tool for comparing the sizes of mathematical infinities, he arrived at a very deep and insightful understanding of the notion of mathematical (...)
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Aristotelian Finitism.Tamer Nawar - 2015 - Synthese 192 (8):2345-2360.
    It is widely known that Aristotle rules out the existence of actual infinities but allows for potential infinities. However, precisely why Aristotle should deny the existence of actual infinities remains somewhat obscure and has received relatively little attention in the secondary literature. In this paper I investigate the motivations of Aristotle’s finitism and offer a careful examination of some of the arguments considered by Aristotle both in favour of and against the existence of actual infinities. I argue that Aristotle has (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Remembering the Impossible Possibility: Kierkegaard and Human Capital.William Large & Lars Iyer - 2015 - Journal for Cultural Research 19 (4):407-420.
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark