FOIL axiomatized
Studia Logica 84 (1):1 - 22 (2006)
| Abstract | In an earlier paper, [5], 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 [2] 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 | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,701 |
| External links |
  Try with proxy. |
| Through your library | Configure |
Similar books and articlesD. 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.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads4 ( #178,748 of 549,119 )Recent downloads (6 months)1 ( #63,361 of 549,119 )How can I increase my downloads? |
My notes
Discussion
