Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system]

Synthese 187 (2):623-660 (2012)
  Copy   BIBTEX

Abstract

This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study illustrating the power of 2SDL, we examine the system DL of Deontic Logic of Andrew Jones and Ingmar Pörn offered in 1985 to solve the Chisholm paradox of Contrary to Duties. The critical examination is done using logics and methods available in 1985 and solutions are proposed using what was available in 1985.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,100

External links

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

Through your library

Similar books and articles

A Paraconsistentist Approach to Chisholm's Paradox.Marcelo Esteban Coniglio & Newton Marques Peron - 2009 - Principia: An International Journal of Epistemology 13 (3):299-326.
Obligations and prohibitions in Talmudic deontic logic.M. Abraham, D. M. Gabbay & U. Schild - 2011 - Artificial Intelligence and Law 19 (2-3):117-148.
An Intuitionistic Reformulation of Mally’s Deontic Logic.Gert-Jan C. Lokhorst - 2013 - Journal of Philosophical Logic 42 (4):635-641.
How to Build a Deontic Action Logic.Piotr Kulicki & Robert Trypuz - 2012 - In Michal Pelis & Vit Puncochar (eds.), The Logica Yearbook 2011. College Publications.
Situationist deontic logic.Sven Ove Hansson - 1997 - Journal of Philosophical Logic 26 (4):423-448.
On Chisholm's paradox.Peter L. Mott - 1973 - Journal of Philosophical Logic 2 (2):197 - 211.
The geometry of standard deontic logic.Alessio Moretti - 2009 - Logica Universalis 3 (1):19-57.
Dyadic deontic logic and semantic tableaux.Daniel Rönnedal - 2009 - Logic and Logical Philosophy 18 (3-4):221-252.

Analytics

Added to PP
2013-12-21

Downloads
56 (#286,455)

6 months
11 (#241,037)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Dov Gabbay
Hebrew University of Jerusalem

Citations of this work

Obligations and prohibitions in Talmudic deontic logic.M. Abraham, D. M. Gabbay & U. Schild - 2011 - Artificial Intelligence and Law 19 (2-3):117-148.

Add more citations

References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
Elements of symbolic logic.Hans Reichenbach - 1947 - London: Dover Publications.
Formal Properties of 'Now'.Hans Kamp - 1971 - Theoria 37 (3):227-273.
Anselm and actuality.David K. Lewis - 1970 - Noûs 4 (2):175-188.

View all 28 references / Add more references