Completeness via Correspondence for Extensions of the Logic of Paradox

Review of Symbolic Logic 5 (4):720-730 (2012)
Taking our inspiration from modal correspondence theory, we present the idea of correspondence analysis for many-valued logics. As a benchmark case, we study truth-functional extensions of the Logic of Paradox (LP). First, we characterize each of the possible truth table entries for unary and binary operators that could be added to LP by an inference scheme. Second, we define a class of natural deduction systems on the basis of these characterizing inference schemes and a natural deduction system for LP. Third, we show that each of the resulting natural deduction systems is sound and complete with respect to its particular semantics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1017/S1755020312000196
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 16,667
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Terry Horgan (2000). Facing Up to the Sorites Paradox. The Proceedings of the Twentieth World Congress of Philosophy 6:99-111.
Susan Rogerson (2007). Natural Deduction and Curry's Paradox. Journal of Philosophical Logic 36 (2):155 - 179.
Ross Thomas Brady (2010). Free Semantics. Journal of Philosophical Logic 39 (5):511 - 529.

Monthly downloads

Added to index


Total downloads

73 ( #46,535 of 1,726,249 )

Recent downloads (6 months)

42 ( #27,645 of 1,726,249 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.