First-order belief and paraconsistency

Logic and Logical Philosophy 18 (2):127-143 (2009)
A first-order logic of belief with identity is proposed, primarily to give an account of possible de re contradictory beliefs, which sometimes occur as consequences of de dicto non-contradictory beliefs. A model has two separate, though interconnected domains: the domain of objects and the domain of appearances. The satisfaction of atomic formulas is defined by a particular S-accessibility relation between worlds. Identity is non-classical, and is conceived as an equivalence relation having the classical identity relation as a subset. A tableau system with labels, signs, and suffixes is defined, extending the basic language $\mathscr{L}_{\mathbf{QB}}$ by quasiformulas (to express the denotations of predicates). The proposed logical system is paraconsistent since $\phi \wedge \neg\phi$ does not ``explode'' with arbitrary syntactic consequences.
Keywords belief  identity  labelled and signed tableau
Categories (categorize this paper)
DOI 10.12775/LLP.2009.008
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,793
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
On Ramsey's 'Silly Delusion' Regarding Tractatus 5.53.Kai Wehmeier - 2009 - In Giuseppe Primiero & Shahid Rahman (eds.), Acts of Knowledge: History, Philosophy and Logic. College Publications.
Naughty Beliefs.Andrew Huddleston - 2012 - Philosophical Studies 160 (2):209-222.
The Epistemology of Belief.Hamid Vahid - 2009 - Palgrave-Macmillan.
Pure Second-Order Logic with Second-Order Identity.Alexander Paseau - 2010 - Notre Dame Journal of Formal Logic 51 (3):351-360.
Reversing the Levi Identity.Sven Ove Hansson - 1993 - Journal of Philosophical Logic 22 (6):637 - 669.
Contradictions, Objects, and Belief.Srećko Kovač - 2007 - In Jean-Yves Béziau & Alexandre Costa-Leite (eds.), Perspectives on Universal Logic. pp. 417.
In What Sense is Kantian Principle of Contradiction Non-Classical?Srećko Kovač - 2008 - Logic and Logical Philosophy 17 (3):251-274.
Added to PP index

Total downloads
45 ( #127,470 of 2,214,707 )

Recent downloads (6 months)
1 ( #409,169 of 2,214,707 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature