Switch to: References

Add citations

You must login to add citations.
  1. Logic and Ontology.Nino B. Cocchiarella - 2001 - Axiomathes 12 (1-2):117-150.
    A brief review of the historicalrelation between logic and ontologyand of the opposition between the viewsof logic as language and logic as calculusis given. We argue that predication is morefundamental than membership and that differenttheories of predication are based on differenttheories of universals, the three most importantbeing nominalism, conceptualism, and realism.These theories can be formulated as formalontologies, each with its own logic, andcompared with one another in terms of theirrespective explanatory powers. After a briefsurvey of such a comparison, we argue (...)
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • An Intensional Type Theory: Motivation and Cut-Elimination.Paul C. Gilmore - 2001 - Journal of Symbolic Logic 66 (1):383-400.
    By the theory TT is meant the higher order predicate logic with the following recursively defined types: 1 is the type of individuals and [] is the type of the truth values: [$\tau_l$,..., $\tau_n$] is the type of the predicates with arguments of the types $\tau_l$,..., $\tau_n$. The theory ITT described in this paper is an intensional version of TT. The types of ITT are the same as the types of TT, but the membership of the type 1 of individuals (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The relative consistency of system RRC* and some of its extensions.Max A. Freund - 1994 - Studia Logica 53 (3):351 - 360.
    We present a relative consistency proof for second order systemRRC* and for certain important extensions of this system. The proof proceeds as follows: we prove first the equiconsistency of the strongest of such extensions (viz., systemH RRC*+(/CP**)) with second order systemT * . Now, N. Cocchiarella has shown thatT * is relatively consistent to systemT*+Ext; clearly, it follows thatH RRC*+(/CP**) is relatively consistent toT*+E xt. As an immediate consequence, the relative consistency ofRRC* and the other extensions also follows, being all (...)
    Download  
     
    Export citation  
     
    Bookmark