6 found
Order:
  1.  17
    Are The Natural Numbers Fundamentally Ordinals?Bahram Assadian & Stefan Buijsman - forthcoming - Philosophy and Phenomenological Research.
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  2.  5
    Referring to Mathematical Objects Via Definite Descriptions.Stefan Buijsman - 2017 - Philosophia Mathematica 25 (1):128-138.
    Linsky and Zalta try to explain how we can refer to mathematical objects by saying that this happens through definite descriptions which may appeal to mathematical theories. I present two issues for their account. First, there is a problem of finding appropriate pre-conditions to reference, which are currently difficult to satisfy. Second, there is a problem of ensuring the stability of the resulting reference. Slight changes in the properties ascribed to a mathematical object can result in a shift of reference (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  3.  19
    Learning the Natural Numbers as a Child.Stefan Buijsman - forthcoming - Noûs.
    How do we get out knowledge of the natural numbers? Various philosophical accounts exist, but there has been comparatively little attention to psychological data on how the learning process actually takes place. I work through the psychological literature on number acquisition with the aim of characterising the acquisition stages in formal terms. In doing so, I argue that we need a combination of current neologicist accounts and accounts such as that of Parsons. In particular, I argue that we learn the (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  4.  67
    Philosophy of Mathematics for the Masses : Extending the Scope of the Philosophy of Mathematics.Stefan Buijsman - 2016 - Dissertation, Stockholm University
    One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mathematics, based on their favourite ontology. This challenge is the point on which all philosophies of mathematics are judged, and clarifying how we might acquire mathematical knowledge is one of the main occupations of philosophers of mathematics. In this thesis I argue that this discussion has overlooked an important part of mathematics, namely mathematics (...)
    Direct download  
     
    Export citation  
     
    My bibliography  
  5.  31
    Accessibility of Reformulated Mathematical Content.Stefan Buijsman - 2017 - Synthese 194 (6).
    I challenge a claim that seems to be made when nominalists offer reformulations of the content of mathematical beliefs, namely that these reformulations are accessible to everyone. By doing so, I argue that these theories cannot account for the mathematical knowledge that ordinary people have. In the first part of the paper I look at reformulations that employ the concept of proof, such as those of Mary Leng and Ottavio Bueno. I argue that ordinary people don’t have many beliefs about (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  6.  7
    The Role of Mathematics in Science. [REVIEW]Stefan Buijsman - 2017 - Metascience 26 (3):507-509.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography