David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
In M. de Rijke (ed.), Advances in Intensional Logic. Kluwer. 249--279 (1997)
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
G. Sambin & S. Valentini (1980). A Modal Sequent Calculus for a Fragment of Arithmetic. Studia Logica 39 (2-3):245 - 256.
Luca Alberucci & Alessandro Facchini (2009). On Modal Μ -Calculus and Gödel-Löb Logic. Studia Logica 91 (2):145 - 169.
Moritz Cordes & Friedrich Reinmuth, A Speech Act Calculus. A Pragmatised Natural Deduction Calculus and its Meta-Theory.
David J. Pym (1995). A Note on the Proof Theory the λII-Calculus. Studia Logica 54 (2):199 - 230.
Aldo Ursini (1979). A Modal Calculus Analogous to K4w, Based on Intuitionistic Propositional Logic, Iℴ. Studia Logica 38 (3):297 - 311.
E. -W. Stachow (1978). Quantum Logical Calculi and Lattice Structures. Journal of Philosophical Logic 7 (1):347 - 386.
Jerzy Kotas & N. C. A. Costa (1979). A New Formulation of Discussive Logic. Studia Logica 38 (4):429 - 445.
Marcus Rossberg (2009). Leonard, Goodman, and the Development of the Calculus of Individuals. In G. Ernst, O. Scholz & J. Steinbrenner (eds.), Nelson Goodman: From Logic to Art. Ontos.
Michael J. Carroll (1976). On Interpreting the S5 Propositional Calculus: An Essay in Philosophical Logic. Dissertation, University of Iowa
Gerhard Lakemeyer (2010). The Situation Calculus: A Case for Modal Logic. [REVIEW] Journal of Logic, Language and Information 19 (4):431-450.
Added to index2009-01-28
Total downloads26 ( #77,973 of 1,679,399 )
Recent downloads (6 months)3 ( #78,649 of 1,679,399 )
How can I increase my downloads?