Switch to: References

Add citations

You must login to add citations.
  1. Who needs (to assume) Hume's principle?Andrew Boucher - manuscript
    Neo-logicism uses definitions and Hume's Principle to derive arithmetic in second-order logic. This paper investigates how much arithmetic can be derived using definitions alone, without any additional principle such as Hume's.
    Download  
     
    Export citation  
     
    Bookmark  
  • Arithmetic without the successor axiom.Andrew Boucher -
    Second-order Peano Arithmetic minus the Successor Axiom is developed from first principles through Quadratic Reciprocity and a proof of self-consistency. This paper combines 4 other papers of the author in a self-contained exposition.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
    • Home | Bibliographies | About PhilArchive | Contact us | Code of conduct

    CDP Phiosophy Documentation Center
    PhilPapers logo by Andrea Andrews and Meghan Driscoll.
    This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications).

    Use of this site is subject to terms & conditions.
    All rights reserved by The PhilPapers Foundation

    Server: philpapers-web-6f9648bdd6-4ctxt uwo