David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 31 (2):161-176 (2010)
Hartry Field's revised logic for the theory of truth in his new book, Saving Truth from Paradox , seeking to preserve Tarski's T-scheme, does not admit a full theory of negation. In response, Crispin Wright proposed that the negation of a proposition is the proposition saying that some proposition inconsistent with the first is true. For this to work, we have to show that this proposition is entailed by any proposition incompatible with the first, that is, that it is the weakest proposition incompatible with the proposition whose negation it should be. To show that his proposal gave a full intuitionist theory of negation, Wright appealed to two principles, about incompatibility and entailment, and using them Field formulated a paradox of validity (or more precisely, of inconsistency). The medieval mathematician, theologian and logician, Thomas Bradwardine, writing in the fourteenth century, proposed a solution to the paradoxes of truth which does not require any revision of logic. The key principle behind Bradwardine's solution is a pluralist doctrine of meaning, or signification, that propositions can mean more than they explicitly say. In particular, he proposed that signification is closed under entailment. In light of this, Bradwardine revised the truth-rules, in particular, refining the T-scheme, so that a proposition is true only if everything that it signifies obtains. Thereby, he was able to show that any proposition which signifies that it itself is false, also signifies that it is true, and consequently is false and not true. I show that Bradwardine's solution is also able to deal with Field's paradox and others of a similar nature. Hence Field's logical revisions are unnecessary to save truth from paradox
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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
J. C. Beall (ed.) (2007). Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Haskell B. Curry (1942). The Inconsistency of Certain Formal Logic. Journal of Symbolic Logic 7 (3):115-117.
Jaakko Hintikka (1975). A Counterexample to Tarski-Type Truth-Definitions as Applied to Natural Languages. Philosophia 5 (3):207-212.
M. H. Lob (1955). Solution of a Problem of Leon Henkin. Journal of Symbolic Logic 20 (2):115-118.
Citations of this work BETA
Miroslav Hanke (2013). Implied-Meaning Analysis of the Currian Conditional. History and Philosophy of Logic 34 (4):367 - 380.
Similar books and articles
Manfred Müller (1991). Eine Widerlegung der Redundanztheorie der Wahrheit. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 22 (1):101-110.
Hartry Field (2006). Maudlin's Truth and Paradox. [REVIEW] Philosophy and Phenomenological Research 73 (3):713–720.
Keith Simmons (1987). On a Medieval Solution to the Liar Paradox. History and Philosophy of Logic 8 (2):121-140.
Kevin Scharp (2010). Truth's Saviour? [REVIEW] Philosophical Quarterly 60 (238):183 - 188.
Richard Kenneth Atkins (2011). This Proposition is Not True: C.S. Peirce and the Liar Paradox. Transactions of the Charles S. Peirce Society 47 (4):421-444.
Elia Zardini, If Every True Proposition is Knowable, Then Every Believed (Decidable) Proposition is True, or the Incompleteness of the Intuitionistic Solution to the Paradox of Knowability.
Catarina Dutilh Novaes & Stephen Read (2008). Insolubilia and the Fallacy Secundum Quid Et Simpliciter. Vivarium 46 (2):175-191.
Simon Evnine, ''Every Proposition Asserts Itself to Be True'': A Buridanian Solution to the Liar Paradox?
Stephen Read (2009). Plural Signification and the Liar Paradox. Philosophical Studies 145 (3):363 - 375.
Added to index2010-07-27
Total downloads35 ( #71,879 of 1,696,808 )
Recent downloads (6 months)5 ( #116,273 of 1,696,808 )
How can I increase my downloads?