On Priest on Nonmonotonic and Inductive Logic

Thought: A Journal of Philosophy 5 (2):119-124 (2016)

Greg Restall
University of Melbourne
Graham Priest defends the use of a nonmonotonic logic, LPm, in his analysis of reasoning in the face of true contradictions, such as those arising from the paradoxes of self-reference. In the course of defending this choice of logic in the face of the criticism that this logic is not truth preserving, Priest argued that requirement is too much to ask: since LPm is a nonmonotonic logic, it necessarily fails to preserve truth. In this article, I show that this assumption is incorrect, and I explain why nonmonotonic logics can nonetheless be truth preserving. Finally, I diagnose Priest's error, to explain when nonmonotonic logics do indeed fail to preserve truth.
Keywords paraconsistent  conditionals  paradoxes  inductive logic  nonmonotonic
Categories (categorize this paper)
DOI 10.1002/tht3.201
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 41,524
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

Ways Things Can't Be.Greg Restall - 1997 - Notre Dame Journal of Formal Logic 38 (4):583-596.
Why Priest's Reassurance is Not Reassuring.Jc Beall - 2012 - Analysis 72 (3):517-525.

Add more references

Citations of this work BETA

Comment on Restall.Graham Priest - 2016 - Thought: A Journal of Philosophy 5 (2):125-125.
Hard and Soft Logical Information.Allo Patrick - 2017 - Journal of Logic and Computation:1-20.

Add more citations

Similar books and articles

Real Logic is Nonmonotonic.Henry E. Kyburg Jr - 2001 - Minds and Machines 11 (4):577-595.
Bridges Between Classical and Nonmonotonic Logic.David Makinson - 2003 - Logic Journal of the IGPL 11 (1):69-96.
Nonmonotonic Inconsistency.Charles B. Cross - 2003 - Artificial Intelligence 149 (2):161-178.
Conditionals and Consequences.Gregory Wheeler, Henry E. Kyburg & Choh Man Teng - 2007 - Journal of Applied Logic 5 (4):638-650.
The Nature of Nonmonotonic Reasoning.Charles G. Morgan - 2000 - Minds and Machines 10 (3):321-360.
Default Reasoning, Belief, and Context.John Andrew Schwartz - 1996 - Dissertation, The University of Texas at Austin
Relevant Logic as a Basis for Paraconsistent Epistemic Logics.Gerson Zaverucha - 1992 - Journal of Applied Non-Classical Logics 2 (2):225-241.
Multiple-Conclusion Lp and Default Classicality.Jc Beall - 2011 - Review of Symbolic Logic 4 (2):326-336.


Added to PP index

Total views
48 ( #165,397 of 2,248,810 )

Recent downloads (6 months)
12 ( #85,962 of 2,248,810 )

How can I increase my downloads?


My notes

Sign in to use this feature