Modal logic should say more than it does


Authors
Melvin Fitting
CUNY Graduate Center
Abstract
First-order modal logics, as traditionally formulated, are not expressive enough. It is this that is behind the difficulties in formulating a good analog of Herbrand’s Theorem, as well as the well-known problems with equality, non-rigid designators, definite descriptions, and nondesignating terms. We show how all these problems disappear when modal language is made more expressive in a simple, natural way. We present a semantic tableaux system for the enhanced logic, and (very) briefly discuss implementation issues.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 40,736
External links

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

Semantical Considerations on Modal Logic.Saul A. Kripke - 1963 - Acta Philosophica Fennica 16 (1963):83-94.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
A Deduction Model of Belief.Kurt Konolige - 1986 - Morgan Kaufmann Publishers.
Tableau Methods of Proof for Modal Logics.Melvin Fitting - 1972 - Notre Dame Journal of Formal Logic 13 (2):237-247.
[Omnibus Review].M. J. Cresswell - 1975 - Journal of Symbolic Logic 40 (4):602-602.

View all 6 references / Add more references

Citations of this work BETA

Logics of Public Communications.Jan Plaza - 2007 - Synthese 158 (2):165 - 179.

Add more citations

Similar books and articles

Analytics

Added to PP index
2010-12-22

Total views
38 ( #210,318 of 2,243,784 )

Recent downloads (6 months)
3 ( #624,610 of 2,243,784 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature