The modal object calculus and its interpretation

In M. de Rijke (ed.), Advances in Intensional Logic. Kluwer Academic Publishers. pp. 249--279 (1997)
  Copy   BIBTEX

Abstract

The modal object calculus is the system of logic which houses the (proper) axiomatic theory of abstract objects. The calculus has some rather interesting features in and of itself, independent of the proper theory. The most sophisticated, type-theoretic incarnation of the calculus can be used to analyze the intensional contexts of natural language and so constitutes an intensional logic. However, the simpler second-order version of the calculus couches a theory of fine-grained properties, relations and propositions and serves as a framework for defining situations, possible worlds, stories, and fictional characters, among other things. In the present paper, we focus on the second-order calculus. The second-order modal object calculus is so-called to distinguish it from the second-order modal predicate calculus. Though the differences are slight, the extra expressive power of the object calculus significantly enhances its ability to resolve logical and philosophical concepts and problems.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2009-01-28

Downloads
174 (#102,714)

6 months
9 (#144,029)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Edward Zalta
Stanford University

References found in this work

Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
On sense and reference.Gottlob Frege - 1960 - In Darragh Byrne & Max Kölbel (eds.), Arguing About Language. Routledge. pp. 36--56.
A completeness theorem in modal logic.Saul Kripke - 1959 - Journal of Symbolic Logic 24 (1):1-14.

View all 15 references / Add more references