Graduate studies at Western
Studia Logica 84 (1):1 - 22 (2006)
|Abstract||In an earlier paper, , I gave semantics and tableau rules for a simple firstorder intensional logic called FOIL, in which both objects and intensions are explicitly present and can be quantified over. Intensions, being non-rigid, are represented in FOIL as (partial) functions from states to objects. Scoping machinery, predicate abstraction, is present to disambiguate sentences like that asserting the necessary identity of the morning and the evening star, which is true in one sense and not true in another.In this paper I address the problem of axiomatizing FOIL. I begin with an interesting sublogic with predicate abstraction and equality but no quantifiers. In  this sublogic was shown to be undecidable if the underlying modal logic was at least K4, though it is decidable in other cases. The axiomatization given is shown to be complete for standard logics without a symmetry condition. The general situation is not known. After this an axiomatization for the full FOIL is given, which is straightforward after one makes a change in the point of view.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
D. W. Mertz (1999). The Logic of Instance Ontology. Journal of Philosophical Logic 28 (1):81-111.
Eric Barnes (1994). Why P Rather Than Q? The Curiosities of Fact and Foil. Philosophical Studies 73 (1):35 - 53.
I. Fang (1991). Idola Foil Et Theatri. Philosophia Mathematica 6 (2):200-218.
W. J. Blok (1979). An Axiomatization of the Modal Theory of the Veiled Recession Frame. Studia Logica 38 (1):37 - 47.
Melvin Fitting (2007). Correction to FOIL Axiomatized Studia Logica , 84:1–22, 2006. Studia Logica 85 (2):275 -.
Nino B. Cocchiarella (1998). Reference in Conceptual Realism. Synthese 114 (2):169-202.
Added to index2009-01-28
Total downloads4 ( #189,291 of 739,354 )
Recent downloads (6 months)1 ( #61,680 of 739,354 )
How can I increase my downloads?