Journal of Applied Logics 8 (2):377-396 (2021)

Massimiliano Carrara
University of Padua
Andrea Strollo
NanJing University
In this paper we first develop a Dialetheic Logic with Exclusive Assumptions and Conclusions, DLEAC. We adopt the semantics of the logic of paradox (LP) extended with a notion of model suitable for DLEAC, and we modify its proof theory by refining the notions of assumption and conclusion, which are understood as speech acts. We introduce a new paradox – the rejectability paradox – first informally, then formally. We then provide its derivation in an extension of DLEAC contanining the rejectability predicate.
Keywords paradoxes  dialetheism  rejection  dialetheic logic
Categories (categorize this paper)
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
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

The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
A Calculus for Antinomies.F. G. Asenjo - 1966 - Notre Dame Journal of Formal Logic 16 (1):103-105.
Assertion, Denial, and the Liar Paradox.Terence Parsons - 1984 - Journal of Philosophical Logic 13 (2):137 - 152.
Hopes Fade for Saving Truth. [REVIEW]Graham Priest - 2010 - Philosophy 85 (1):109-140.

View all 12 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

A Dilemma for Dialetheism.Jason Zarri - 2010 - The Dualist 15 (Spring):21-31.
A Paradox of Rejection.Thomas N. P. A. Brouwer - 2014 - Synthese 191 (18):4451-4464.
Paradoxes of Interaction?Johannes Stern & Martin Fischer - 2015 - Journal of Philosophical Logic 44 (3):287-308.
Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
Samozwrotność i odrzucanie.Jan Woleński - 1993 - Filozofia Nauki 1.
Librationist Closures of the Paradoxes.Frode Bjørdal - 2012 - Logic and Logical Philosophy 21 (4):323-361.
Relevant First-Order Logic LP# and Curry’s Paradox Resolution.Jaykov Foukzon - 2015 - Pure and Applied Mathematics Journal Volume 4, Issue 1-1, January 2015 DOI: 10.11648/J.Pamj.S.2015040101.12.
On False Antecedent in Dialetheic Entailment.Massimiliano Carrara - 2019 - In Luca Bellotti, Luca Gili, Enrico Moriconi & Giacomo Turbanti (eds.), Third Pisa Colloquium in Logic, Language and Epistemology. Pisa PI, Italia: Edizioni ETS. pp. 59-68.
Yes, Virginia, There Really Are Paraconsistent Logics.Bryson Brown - 1999 - Journal of Philosophical Logic 28 (5):489-500.
The Case of Dialetheism.Marcin Tkaczyk - 2016 - Logic and Logical Philosophy 25 (2):203-224.
Dialetheism and the Graphic Liar.Greg Littmann - 2012 - Canadian Journal of Philosophy 42 (1):15-27.
A Note on Gödel, Priest and Naïve Proof.Massimiliano Carrara - forthcoming - Logic and Logical Philosophy:1.


Added to PP index

Total views
40 ( #285,921 of 2,520,891 )

Recent downloads (6 months)
3 ( #205,180 of 2,520,891 )

How can I increase my downloads?


My notes