A Propositional Theory of Truth

Notre Dame Journal of Formal Logic 59 (4):503-545 (2018)
  Copy   BIBTEX

Abstract

The liar and kindred paradoxes show that we can derive contradictions if our language possesses sentences lending themselves to paradox and we reason classically from schema about truth: Sis true iffp, where the letter p is to be replaced with a sentence and the letter S with a name of that sentence. This article presents a theory of truth that keeps at the expense of classical logic. The theory is couched in a language that possesses paradoxical sentences. It incorporates all the instances of the analogue of for that language and also includes other platitudes about truth. The theory avoids contradiction because its logical framework is an appropriately constructed nonclassical propositional logic. The logic and the theory are different from others that have been proposed for keeping, and the methods used in the main proofs are novel.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

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

Semantic Paradox and the Metaphysics of Truth.Leon Fairfield Porter - 1995 - Dissertation, University of Michigan
Buridan's Solution to the Liar Paradox.Yann Benétreau-Dupin - 2015 - History and Philosophy of Logic 36 (1):18-28.
Truth & Transcendence: Turning the Tables on the Liar Paradox.Gila Sher - 2017 - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford: Oxford University Press. pp. 281-306.
Truth and what is said.Elia Zardini - 2008 - Philosophical Perspectives 22 (1):545-574.
McGee on Horwich.Ryan Christensen - 2016 - Synthese 193 (1):205-218.
The truth-tellers paradox.Alexandre Billon - 2013 - Logique Et Analyse (204).
Truthmaker Gaps and the No-No Paradox.Patrick Greenough - 2011 - Philosophy and Phenomenological Research 82 (3):547 - 563.
Prosentence, Revision, Truth, and Paradox.Tim Maudlin - 2007 - Philosophy and Phenomenological Research 73 (3):705-712.
Nonclassical theories of truth.Jc Beall & David Ripley - 2018 - In Oxford Handbook of Truth.
The Inconsistency Theory of Truth.John Russell Barker - 1999 - Dissertation, Princeton University
Revenge of the liar: new essays on the paradox.J. C. Beall (ed.) - 2007 - New York: Oxford University Press.

Analytics

Added to PP
2018-10-13

Downloads
34 (#445,975)

6 months
6 (#431,022)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Truth without contra(di)ction.Elia Zardini - 2011 - Review of Symbolic Logic 4 (4):498-535.
On existentialism.Alvin Plantinga - 1983 - Philosophical Studies 44 (1):1 - 20.
On the idea of a general proof theory.Dag Prawitz - 1974 - Synthese 27 (1-2):63 - 77.

Add more references