Switch to: References

Citations of:

The Logic of Number

Oxford University Press (2022)

Add citations

You must login to add citations.
  1. Of Marriage and Mathematics: Inferentialism and Social Ontology.James Henry Collin - 2023 - Topoi 42 (1):247-257.
    The semantic inferentialist account of the social institution of semantic meaning can be naturally extended to account for social ontology. I argue here that semantic inferentialism provides a framework within which mathematical ontology can be understood as social ontology, and mathematical facts as socially instituted facts. I argue further that the semantic inferentialist framework provides resources to underpin at least some aspects of the objectivity of mathematics, even when the truth of mathematical claims is understood as socially instituted.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • Frege meets Belnap: Basic Law V in a Relevant Logic.Shay Logan & Francesca Boccuni - forthcoming - In Andrew Tedder, Shawn Standefer & Igor Sedlar (eds.), New Directions in Relevant Logic. Springer. pp. 381-404.
    Abstractionism in the philosophy of mathematics aims at deriving large fragments of mathematics by combining abstraction principles (i.e. the abstract objects $\S e_1, \S e_2$, are identical if, and only if, an equivalence relation $Eq_\S$ holds between the entities $e_1, e_2$) with logic. Still, as highlighted in work on the semantics for relevant logics, there are different ways theories might be combined. In exactly what ways must logic and abstraction be combined in order to get interesting mathematics? In this paper, (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
    		•
  • Logicism and Neologicism.Neil Tennant - 2013 - Stanford Encyclopedia of Philosophy.
    Direct download  
     
    Export citation  
     
    Bookmark   13 citations