Switch to: References

Add citations

You must login to add citations.
  1. In Defense of Benacerraf’s Multiple-Reductions Argument.Michele Ginammi - forthcoming - Philosophia Mathematica:nkz009.
    I discuss Steinhart’s argument against Benacerraf’s famous multiple-reductions argument to the effect that numbers cannot be sets. Steinhart offers a mathematical argument according to which there is only one series of sets to which the natural numbers can be reduced, and thus attacks Benacerraf’s assumption that there are multiple reductions of numbers to sets. I will argue that Steinhart’s argument is problematic and should not be accepted.
    Download  
     
    Export citation  
     
    Bookmark  
  • Viewing-as Explanations and Ontic Dependence.William D’Alessandro - forthcoming - Philosophical Studies:1-24.
    According to a widespread view in metaphysics and philosophy of science (the “Dependence Thesis”), all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper (...)
    Download  
     
    Export citation  
     
    Bookmark