Switch to: References

Add citations

You must login to add citations.
  1. Gamma graph calculi for modal logics.Minghui Ma & Ahti-Veikko Pietarinen - 2018 - Synthese 195 (8):3621-3650.
    We describe Peirce’s 1903 system of modal gamma graphs, its transformation rules of inference, and the interpretation of the broken-cut modal operator. We show that Peirce proposed the normality rule in his gamma system. We then show how various normal modal logics arise from Peirce’s assumptions concerning the broken-cut notation. By developing an algebraic semantics we establish the completeness of fifteen modal logics of gamma graphs. We show that, besides logical necessity and possibility, Peirce proposed an epistemic interpretation of the (...)
    Download  
     
    Export citation  
     
    Bookmark   14 citations  
  • Games as formal tools versus games as explanations in logic and science.Ahti-Veikko Pietarinen - 2003 - Foundations of Science 8 (4):317-364.
    This paper addresses the theoretical notion of a game as it arisesacross scientific inquiries, exploring its uses as a technical andformal asset in logic and science versus an explanatory mechanism. Whilegames comprise a widely used method in a broad intellectual realm(including, but not limited to, philosophy, logic, mathematics,cognitive science, artificial intelligence, computation, linguistics,physics, economics), each discipline advocates its own methodology and aunified understanding is lacking. In the first part of this paper, anumber of game theories in formal studies are critically (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  • Louis Joly as a Platonist Painter?Roger Pouivet - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 337--341.
    Download  
     
    Export citation  
     
    Bookmark