4 found
Order:
  1.  55
    Structuralism and the Applicability of Mathematics.Jairo José Silvdaa - forthcoming - Axiomathes.
    In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.
    Translate
      Direct download  
     
    Export citation  
     
    My bibliography  
  2.  17
    Husserl's Phenomenology and Weyl's Predictivism.Jairo José Silvdaa - 1997 - Synthese 110 (2).
    In this paper I discuss the version of predicative analysis put forward by Hermann Weyl in Das Kontinuum. I try to establish how much of the underlying motivation for Weyl''s position may be due to his acceptance of a phenomenological philosophical perspective. More specifically, I analyze Weyl''s philosophical ideas in connexion with the work of Husserl, in particular Logische Untersuchungen} and Ideen .I believe that this interpretation of Weyl can clarify the views on mathematical existence and mathematical intuition which are (...)
    Direct download  
     
    Export citation  
     
    My bibliography  
  3.  13
    Husserl's Two Notions of Completeness.Jairo josé Silvdaa - 2000 - Synthese 125 (3).
    In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures hegave in Göttingen in 1901 and other related texts of the same period,a problem that had occupied Husserl since the beginning of 1890, whenhe was planning a never published sequel to Philosophie der Arithmetik(1891). In order to solve the problem of imaginary entities Husserl introduced,independently of Hilbert, two notions of completeness (definiteness in Husserl'sterminology) for a formal axiomatic (...)
    Direct download  
     
    Export citation  
     
    My bibliography  
  4. Beyond Leibniz : Husserl's Vindication of Symbolic Knowledge.Jairo José Silvdaa - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer.