Switch to: References

Citations of:

Quantifying over the reals

Synthese 101 (1):53 - 64 (1994)

Add citations

You must login to add citations.
  1. A Wittgensteinian Philosophy of Mathematics.Charles Sayward - 2005 - Logic and Logical Philosophy 15 (2):55-69.
    Three theses are gleaned from Wittgenstein’s writing. First, extra-mathematical uses of mathematical expressions are not referential uses. Second, the senses of the expressions of pure mathematics are to be found in their uses outside of mathematics. Third, mathematical truth is fixed by mathematical proof. These theses are defended. The philosophy of mathematics defined by the three theses is compared with realism, nominalism, and formalism.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
  • Quantification and ontology.Shaughan Lavine - 2000 - Synthese 124 (1-2):1-43.
    Quineans have taken the basic expression of ontological commitment to be an assertion of the form '' x '', assimilated to theEnglish ''there is something that is a ''. Here I take the existential quantifier to be introduced, not as an abbreviation for an expression of English, but via Tarskian semantics. I argue, contrary to the standard view, that Tarskian semantics in fact suggests a quite different picture: one in which quantification is of a substitutional type apparently first proposed by (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   14 citations