Off-campus access
Using PhilPapers from home?
Click here to configure this browser for off-campus access.
- Timothy Bays (2009). Beth's Theorem and Deflationism. Mind 118 (472):1061-1073.In 1999, Jeffrey Ketland published a paper which posed a series of technical problems for deflationary theories of truth. Ketland argued that deflationism is incompatible with standard mathematical formalizations of truth, and he claimed that alternate deflationary formalizations are unable to explain some central uses of the truth predicate in mathematics. He also used Beth’s definability theorem to argue that, contrary to deflationists’ claims, the T-schema cannot provide an ‘implicit definition’ of truth. In this article, I want to challenge this final argument. Whatever other faults deflationism may have, the T-schema does provide an implicit definition of the truth predicate. Or so, at any rate, I shall argue.
Similar books and articles
Stephen Stich (1990) has argued that our commitment to truth is parochial, arbitrary, and idiosyncratic. Truth, according to Stich, can be analyzed in terms of reference and predicate satisfaction. If our intuitions about reference can change, this means that our concept of truth can change. If there can be many distinct concepts of truth, our seemingly unreflective commitment to the one we have inherited seems unmotivated. I argue that deflationism about truth possesses sufficient resources to turn back Stich’s skeptical challenge. If, as deflationism claims, no analysis of truth can be given, Stich’s argument cannot succeed. I argue that deflationism is correct by showing that differences in reference do not lead to distinct concepts of truth. I also show that deflationism can clarify what it is we care about when we care about whether our beliefs are true. To care whether p is true is simply to care whether p.
No categories
Hartry Field has suggested that we should adopt at least a methodological deflationism: [W]e should assume full-fledged deflationism as a working hypothesis. That way, if full-fledged deflationism should turn out to be inadequate, we will at least have a clearer sense than we now have of just where it is that inflationist assumptions ... are needed. I argue here that we do not need to be methodological deflationists. More pre-cisely, I argue that we have no need for a disquotational truth-predicate; that the word true, in ordinary language, is not a disquotational truth-predicate; and that it is not at all clear that it is even possible to introduce a disquotational truth-predicate into ordinary language. If so, then we have no clear sense how it is even possible to be a methodological deflationist. My goal here is not to convince a committed deflationist to abandon his or her position. My goal, rather, is to argue, contrary to what many seem to think, that reflection on the apparently trivial character of T-sentences should not incline us to deflationism.
Stephen Stich (1990) has argued that our commitment to truth is parochial, arbitrary, and idiosyncratic. Truth, according to Stich, can be analyzed in terms of reference and predicate satisfaction. If our intuitions about reference can change, this means that our concept of truth can change. If there can be many distinct concepts of truth, our seemingly unreflective commitment to the one we have inherited seems unmotivated. I argue that deflationism about truth possesses sufficient resources to turn back Stich’s skeptical challenge. If, as deflationism claims, no analysis of truth can be given, Stich’s argument cannot succeed. I argue that deflationism is correct by showing that differences in reference do not lead to distinct concepts of truth. I also show that deflationism can clarify what it is we care about when we care about whether our beliefs are true. To care whether p is true is simply to care whether p.
A principal challenge for a deflationary theory is to explain the value of truth: why we aim for true beliefs, abhor dishonesty, and so on. The problem arises because deflationism sees truth as a mere logical property and the truth predicate as serving primarily as a device of generalization. Paul Horwich, attempts to show how deflationism can account for the value of truth. Drawing on the work of J. L. Austin, I argue that his account, which focuses on belief, cannot adequately accommodate the complex role that truth plays in the norms governing assertion and similar speech acts.
Hartry Field has suggested that we should adopt at least a methodological deflationism: "[W]e should assume full-fledged deflationism as a working hypothesis. That way, if full-fledged deflationism should turn out to be inadequate, we will at least have a clearer sense than we now have of just where it is that inflationist assumptions... are needed". I argue here that we do not need to be methodological deflationists. More precisely, I argue that we have no need for a disquotational truth-predicate; that the word 'true', in ordinary language, is not a disquotational truth-predicate; and that it is not at all clear that it is even possible to introduce a disquotational truth-predicate into ordinary language. If so, then we have no clear sense how it is even possible to be a methodological deflationist. My goal here is not to convince a committed deflationist to abandon his or her position. My goal, rather, is to argue, contrary to what many seem to think, that reflection on the apparently trivial character of T-sentences should not incline us to deflationism.
Over the last three decades, truth-condition theories have earned a central place in the study of linguistic meaning. But their honored position faces a threat from recent deflationism or minimalism about truth. It is thought that the appeal to truth-conditions in a theory of meaning is incompatible with deflationism about truth, and so the growing popularity of deflationism threatens truth-condition theories of meaning.
It has been argued that deflationary theories of truth stumble over the normativity of truth. This paper maintains that the normativity objection does not pose problems to at least one version of deflationism, minimalism. The rest of the paper discusses truth-related norms, showing that either they do not hold or they are not troublesome for deflationism.
It is a fundamental intuition about truth that the conditions under which a sentence is true are given by what the sentence asserts. My aim in this paper is to show that this intuition captures the concept of truth completely and correctly. This is conceptual deflationism, for it does not go beyond what is asserted by a sentence in order to define the truth status of that sentence. This paper, hence, is a defense of deflationism as a conceptual account of truth. This defense is developed in four stages. In the first stage I present a distinction between two types of deflationism, conceptual and metaphysical. This is the central stage of the argument and its main conclusion is that conceptual deflationism when joined with the principle of bivalence is inconsistent with metaphysical deflationism, that is, conceptual deflationism together with bivalence entails a non-deflationary metaphysical account of truth. In the second and third stages of the argument I argue that the totality of the Tarskian biconditionals, when interpreted as definitional biconditionals, offers a description of the nature of truth. In the fourth, and final, stage of the argument I advance a positive case for conceptual deflationism. I explain how the revision theory of truth provides this sort of deflationism with its best evidence: a clear demonstration of its consistency and a compelling argument for its material adequacy.
I define T-schema deflationism as the thesis that a theory of truth for our language can simply take the form of certain instances of Tarski's schema (T). I show that any effective enumeration of these instances will yield as a dividend an effective enumeration of all truths of our language. But that contradicts Gödel's First Incompleteness Theorem. So the instances of (T) constituting the T-Schema deflationist's theory of truth are not effectively enumerable, which casts doubt on the idea that the T-schema deflationist in any sense has a theory of truth. (The argument in section 2 of "Semantics for Deflationists" supercedes this paper.).
Is the restricted, consistent, version of the T-scheme sufficient for an ‘implicit definition’ of truth? In a sense, the answer is yes (Haack 1978 , Quine 1953 ). Section 4 of Ketland 1999 mentions this but gives a result saying that the T-scheme does not implicitly define truth in the stronger sense relevant for Beth’s Definability Theorem. This insinuates that the T-scheme fares worse than the compositional truth theory as an implicit definition. However, the insinuation is mistaken. For, as Bays rightly points out, the result given extends to the compositional truth theory also. So, as regards implicit definability, both kinds of truth theory are equivalent. Some further discussion of this topic is mentioned (Gupta 2008 , Ketland 2003 , McGee 1991 ), all in agreement with Bays’s analysis.
Discussion of Timothy Bays, Beth's theorem and deflationism
|
|
There are no threads in this forum |
Nothing in this forum yet.

