Switch to: References

Add citations

You must login to add citations.
  1. Mathematics: Method Without Metaphysics.Elaine Landry - forthcoming - Philosophia Mathematica.
    I use my reading of Plato to develop what I call as-ifism, the view that, in mathematics, we treat our hypotheses as if they were first principles and we do this with the purpose of solving mathematical problems. I then extend this view to modern mathematics showing that when we shift our focus from the method of philosophy to the method of mathematics, we see that an as-if methodological interpretation of mathematical structuralism can be used to provide an account of (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • The Metaphysics of Recollection in Plato’s Meno.Whitney Schwab - 2020 - Apeiron 53 (3):213-233.
    Recollection is central to the epistemology of Plato’sMeno. After all, the character Socrates claims that recollection is the process whereby embodied human souls bind down true opinions (doxai) and acquire knowledge (epistêmê). This paper examines the exchange between Socrates and Meno’s slave to determine (1) what steps on the path to acquiring knowledge are part of the process of recollection and (2) what is required for a subject to count as having recollected something. I argue that the key to answering (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Dianoia Left and Right.S. Pollard - 2013 - Philosophia Mathematica 21 (3):309-322.
    In Plato's Phaedrus, Socrates offers two speeches, the first portraying madness as mere disease, the second celebrating madness as divine inspiration. Each speech is correct, says Socrates, though neither is complete. The two kinds of madness are like the left and right sides of a living body: no account that focuses on just one half can be adequate. In a recent paper, Hugh Benson gives a left-handed speech about a psychic condition endemic among mathematicians: dianoia. Benson acknowledges that his account (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark