Switch to: References

Citations of:

Priest's paraconsistent arithmetic

Mind 104 (415):566-575 (1995)

Add citations

You must login to add citations.
  1. Why classical logic is privileged: justification of logics based on translatability.Gerhard Schurz - 2021 - Synthese 199 (5-6):13067-13094.
    In Sect. 1 it is argued that systems of logic are exceptional, but not a priori necessary. Logics are exceptional because they can neither be demonstrated as valid nor be confirmed by observation without entering a circle, and their motivation based on intuition is unreliable. On the other hand, logics do not express a priori necessities of thinking because alternative non-classical logics have been developed. Section 2 reflects the controversies about four major kinds of non-classical logics—multi-valued, intuitionistic, paraconsistent and quantum (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • On Alternative Geometries, Arithmetics, and Logics; a Tribute to Łukasiewicz.Graham Priest - 2003 - Studia Logica 74 (3):441-468.
    The paper discusses the similarity between geometry, arithmetic, and logic, specifically with respect to the question of whether applied theories of each may be revised. It argues that they can - even when the revised logic is a paraconsistent one, or the revised arithmetic is an inconsistent one. Indeed, in the case of logic, it argues that logic is not only revisable, but, during its history, it has been revised. The paper also discusses Quine's well known argument against the possibility (...)
    Download  
     
    Export citation  
     
    Bookmark   9 citations