Mind 111 (443):551-582 (2002)
consistent and sufficiently strong system of first-order formal arithmetic fails to decide some independent Gödel sentence. We examine consistent first-order extensions of such systems. Our purpose is to discover what is minimally required by way of such extension in order to be able to prove the Gödel sentence in a non-trivial fashion. The extended methods of formal proof must capture the essentials of the so-called ‘semantical argument’ for the truth of the Gödel sentence. We are concerned to show that the deflationist has at his disposal such extended methods—methods which make no use or mention of a truth-predicate. This consideration leads us to reassess arguments recently advanced—one by Shapiro and another by Ketland—against the deflationist's account of truth. Their main point of agreement is this: they both adduce the Gödel phenomena as motivating a ‘thick’ notion of truth, rather than the deflationist's ‘thin’ notion. But the so-called ‘semantical argument’, which appears to involve a ‘thick’ notion of truth, does not really have to be semantical at all. It is, rather, a reflective argument. And the reflections upon a system that are contained therein are deflationarily licit, expressible without explicit use or mention of a truth-predicate. Thus it would appear that this anti-deflationist objection fails to establish that there has to be more to truth than mere conformity to the disquotational T-schema.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
What Theories of Truth Should Be Like (but Cannot Be).Hannes Leitgeb - 2007 - Philosophy Compass 2 (2):276–290.
A Note on Typed Truth and Consistency Assertions.Carlo Nicolai - 2016 - Journal of Philosophical Logic 45 (1):89-119.
Deflationary Truth and the Ontology of Expressions.Carlo Nicolai - 2015 - Synthese 192 (12):4031-4055.
Tarski on the Necessity Reading of Convention T.Douglas Eden Patterson - 2006 - Synthese 151 (1):1-32.
Similar books and articles
On the Philosophical Relevance of Gödel's Incompleteness Theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
Questioning Gödel's Ontological Proof: Is Truth Positive?Gregor Damschen - 2011 - European Journal for Philosophy of Religion 3 (1):161-169.
Consistency, Turing Computability and Gödel's First Incompleteness Theorem.Robert F. Hadley - 2008 - Minds and Machines 18 (1):1-15.
How Do We Know That the Godel Sentence of a Consistent Theory Is True?G. Sereny - 2011 - Philosophia Mathematica 19 (1):47-73.
Deflationism and the Godel Phenomena: Reply to Cieslinski.N. Tennant - 2010 - Mind 119 (474):437-450.
T-Schema Deflationism Versus Gödel’s First Incompleteness Theorem.Christopher Gauker - 2001 - Analysis 61 (270):129–136.
Added to index2009-01-28
Total downloads49 ( #107,843 of 2,177,988 )
Recent downloads (6 months)1 ( #317,698 of 2,177,988 )
How can I increase my downloads?