This article begins by outlining some of the history—beginning with brief remarks of Quine's—of work on conditional assertions and conditional events. The upshot of the historical narrative is that diverse works from various starting points have circled around a nexus of ideas without convincingly tying them together. Section 3 shows how ideas contained in a neglected article of de Finetti's lead to a unified treatment of the topics based on the identification of conditional events as the objects of conditional bets. (...) The penultimate section explores some of the consequences of the resulting logic of conditional events while the last defends it. (shrink)

Putnam rejects having argued in the terms of the argument known in the literature as “the Quine-Putnam indispensability argument”. He considers that mathematics contribution to physics does not have to be interpreted in platonist terms but in his favorite modal variety. The purpose of this paper is to consider Putnam’s acknowledged argument and philosophical position against contemporary so called in the literature ‘fictionalist’ views about applied mathematics. The conclusion will be that the account of the applicability of mathematics that stems (...) from Putnam‘s acknowledged argument can be assimilated to so-called ‘fictionalist’ views about applied mathematics. (shrink)

The thought that truth is valuable for its own sake is obvious, yet difficult to explicate in a precise and vindicating way. The paper tries to explicate and vindicate this thought with an argument for the conclusion that truth is an epistemic value. Truth is an epistemic value in the sense that a commitment to the value of truth plays a role in the justification and explanation of a fundamental aspect of our epistemic practice, namely, critical reflection. The paper also (...) argues that this feature of truth is inconsistent with deflationary accounts of truth. The ideas are set against the backdrop of criticism of some recent work by Paul Horwich. (shrink)

The paper offers a critical examination of a prominent, “quasi-deflationist” argument advanced in the contemporary debate on the semantic paradoxes against non-naive and non-transparent theories of truth. The argument claims that truth unrestrictedly fulfils certain expressive functions, and that its so doing requires the unrestricted validity of naivety and transparency principles. The paper criticises the quasi-deflationist argument by considering some kinds of cases in which transparency and naivety arguably fail. In some such cases truth still fulfils the relevant expressive functions (...) without being transparent or naive; in some other such cases, truth does not fulfil the relevant expressive functions and other conceptual resources must be called upon. Thus, in different ways, all such cases belie the quasi-deflationist argument’s insistence that naivety and transparency should be unrestrictedly valid for truth unrestrictedly to fulfil the relevant expressive functions. There might however be other reasons for solving the semantic paradoxes by revising classical logic, and the paper in effect closes by offering versions of the liar paradox that rely on compelling but opacity-friendly truth-theoretic principles. (shrink)

I examine the difficulties that several philosophers of language are liable to encounter in their attempts to provide an account of the connection between truth and assertion. I then attempt to provide an account of this connection. The analysis is concerned chiefly with difficulties which consist in elucidating the conceptual connection between truth and assertion in a way that respects certain linguistic intuitions while at the same time rendering the concept of truth amenable to a semantic interpretation. The proposed view (...) suggests one way in which we might go about meeting the theoretical demands implicit in addressing this concern, among others, demonstrating the extent to which a theory of truth should be regarded as belonging to the province of epistemology. Insofar as semantical considerations figure into such a theory, a more systematic investigation of the interface between epistemology and natural language semantics is recommended. The solution to many problems at this interface, I argue, lay in an analysis of judgment. (shrink)

A study in philosophical methodology aimed at providing a clear view of the scope and limits of philosophical inquiry.

I argue for an account of semantic paradox that requires minimal logical revision. I first consider a phenomenon that is common to the paradoxes of definability, Russell’s paradox and the Liar. The phenomenon—which I call Repetition—is this: given a paradoxical expression, we can go on to produce a semantically unproblematic expression composed of the very same words. I argue that Kripke’s and Field’s theories of truth make heavy weather of Repetition, and suggest a simpler contextual account. I go on to (...) outline a ‘singularity’ theory of semantical predicates in the spirit of remarks of Gödel. According to this theory, ‘denotes’, ‘extension’ and ‘true’ are context-sensitive expression that apply almost everywhere on a given occasion of use, except for certain singular points. I then turn to revenge paradoxes, and argue that even the dialetheist is subject to revenge. I then examine how the singularity theory responds to revenge. (shrink)

A remembrance of Dummett's work on philosophy of mathematcis.

While historically prominent theories of truth such as the correspondence theory, coherentism, pragmatism, verificationism, and instrumentalism diverge in many ways, they converge in at least one fundamental respect. They are all monist theories of truth. They incorporate the thesis that there is one property—and one property only—in virtue of which propositions can be true. The truth pluralist, on the other hand, rejects this idea. There are several properties in virtue of which propositions can be true. This article offers a survey (...) of recent work on alethic pluralism—presenting various incarnations of the view, objections leveled against them, and various lines of response available to pluralists. (shrink)

The view that truth is the norm of assertion has fallen out of fashion. The recent trend has been to think that knowledge is the norm of assertion. Objections to the knowledge view proceed almost exclusively by appeal to alleged counterexamples. While it no doubt has a role to play, such a strategy relies on intuitions concerning hypothetical cases, intuitions which might not be shared and which might shift depending on how the relevant cases are fleshed out. In this paper, (...) I reject the knowledge view on principled grounds. More specifically, by appeal to a principle which is motivated independently of the debate over the norms of assertion and which is already accepted by many proponents of the knowledge view, I show the knowledge view to be false while simultaneously accounting for why it might seem to be true. In doing so, I provide a novel defence of the unfashionable truth view. (shrink)

Professor Prawitz has made four claims in his talk. The first claim is that one should be able to generalize the intuitionistic theory of meaning already available for mathematical discourse to empirical discourse. Since each claim constitutes a step in an argument of a general form in favour of some new kind of antirealistically inclined theory of meaning (with a final pessimistic overtone), I shall go over each claim one by one, check whether the argument which links them in the (...) way described is sound, and assess on that basis the appropriateness of the project (and of the pessimism). (shrink)

International Journal of Philosophical Studies 0967-2559 (print)/1466-4542 (online) Original Article.

This paper investigates an objection often raised against metaethical error theory. The challenge runs as follows. Metaethical error theory says that all substantive ethical sentences are false. But if a sentence p is false, then given a standard semantics for “not,” ¬p must be true, and vice versa. On the face of it, one can’t hold that p and ¬p are both false. After presenting a more refined version of the challenge (in the form of a set of initially plausible (...) and yet jointly inconsistent principles), the paper examines a common way out of the puzzle, finds it unsatisfactory, and offers some alternative escape routes that, it is submitted, fare better than the standard one. (shrink)

This introductory paper explores a new perspective on argumentation that draws upon the resources of ludology – the critical and academic of study of games qua games. In the Philosophical Investigations, one of the later Wittgenstein’s more mysterious suggestions is that if one understands how games work, then one would be able to understand how natural language works. Similarly, it will be argued that if we look to how games function as games, we will be able to understand how the (...) ‘argument-game’ functions. The epistemic importance of rhetorical argumentation rather than analytic demonstration becomes apparent if we consider ‘argument’ as the communicative interaction in which arguers attempt to improve the cognitive attitudes of a real or potential audience. The activity of arguing is crafted – but not scripted – by the formal aspects of a complex system of interacting elements that give rise to an emergent field of ‘possibility-space’ in which arguments take place. In recognizing how we indirectly craft second-order fields through our first-order design choices, we gain a new perspective and a new set of tools with which to reflect upon the relation between bias, fairness and objectivity in argumentation. Keywords: argumentation theory, language-game, ludology, philosophy, rhetoric. (shrink)

This book is an inquiry into the philosophical concern with truth as one joint subject in philosophy of language and metaphysics and presents a theory of truth, substantive perspectivism (SP). Emphasizing our basic pre-theoretic understanding of truth (i.e., what is captured by the axiomatic thesis of truth that the nature of truth consists in capturing the way things are), and in the deflationism vs. substantivism debate background, SP argues for the substantive nature of non-linguistic truth and its notion’s indispensable substantive (...) explanatory role, both of which are not only intrinsically beyond what the linguistic function of the truth predicate can tell but are fundamentally related to the raison d’être of the truth predicate. Taking a holistic approach, SP endeavors to do justice to various reasonable perspectives, which are somehow contained in many competing accounts of truth, through a coordinate system: SP interprets such perspectives as distinct but related perspective-elaboration principles that distinctively (regarding distinct dimensions of the truth concern and/or for the sake of distinct purposes) elaborate, but are also unified by, the truth axiom thesis. To look at the issue from a broader vision, the book also takes a cross-tradition approach exploring the relationship between Daoist thinking of truth and thinking about truth in analytic philosophy.This book will enhance our systematic understanding of the issue through its holistic approach, broaden our vision on the issue via its cross-tradition approach, and enrich the conceptual and explanatory resources in treating the issue. (shrink)

This article begins by exploring a lost topic in the philosophy of science:the properties of the relations evidence confirming h confirmsh'' and, more generally, evidence confirming each ofh1, h2, ..., hm confirms at least one of h1, h2,ldots;, hn''.The Bayesian understanding of confirmation as positive evidential relevanceis employed throughout. The resulting formal system is, to say the least, oddlybehaved. Some aspects of this odd behaviour the system has in common withsome of the non-classical logics developed in the twentieth century. Oneaspect (...) – its ``parasitism'''' on classical logic – it does not, and it is this featurethat makes the system an interesting focus for discussion of questions in thephilosophy of logic. We gain some purchase on an answer to a recently prominentquestion, namely, what is a logical system? More exactly, we ask whether satisfaction of formal constraints is sufficient for a relation to be considered a (logical) consequence relation. The question whether confirmation transfer yields a logical system is answered in the negative, despite confirmation transfer having the standard properties of a consequence relation, on the grounds that validity of sequents in the system is not determined by the meanings of the connectives that occur in formulas. Developing the system in a different direction, we find it bears on the project of ``proof-theoretic semantics'''': conferring meaning on connectives by means of introduction (and possibly elimination) rules is not an autonomous activity, rather it presupposes a prior, non-formal,notion of consequence. Some historical ramifications are alsoaddressed briefly. (shrink)

In the course of developing a semantics with epistemological intent, Brandom claims that his inferentialism is Hegelian. This paper argues that, even on a charitable reading, Brandom is an anti-Hegelian.

This paper presents a position called Scheme-based Alethic Realism, which reconciles a realist position on the nature of truth with a pluralistic Kantian perspective that allows for multiple environments in which truthmaking relationships are established. We argue that truthmaking functions are constrained by a stable phenomenal world and a stable cognitive architecture. This account takes truth as normatively distinct from epistemic justification while relativizing the truth conditions of our statements to what we call Frameworks. The pluralistic aspect allows that these (...) stable elements, while constraining representational and linguistic schemes, do not define a single framework for truthmaking relations. We strengthen this position by considering themes on situated rational agency from cognitive science and artificial intelligence, arguing that whatever enables or supports rational action within a particular environment must figure into some account of truth and truthmaking, and vice versa. (shrink)

The question how to turn the principles implicitly governing the concept of truth into an explicit definition of the concept hence coalesced with the question how to get a finite grip on the infinity of T-sentences. Tarski's famous and ingenious move was to introduce a new concept, satisfaction, which could be, on the one hand, recursively defined, and which, on the other hand, straightforwardly yielded an explication of truth. A surprising 'by-product' of Tarski's effort to bring truth under control was (...) the breathtaking finding that truth is in a precisely defined sense ineffable, that no non trivial language can contain a truth-predicate which would be adequate for the very 4 language. This implied that truth proved itself to be strangely 'language-dependent': we can have a concept of truth-in-L for any language L, but we cannot have a concept of truth applicable to every language. In a sense, this means, as Quine put it, that truth belongs to "transcendental metaphysics", and Tarski's 'scientific' investigations seem to lead us back towards a surprising proximity of some more traditional philosophical views on truth. 3. TARSKI'S THEORY AS A PARADIGM So far Tarski himself. Subsequent philosophers then had to find out what his considerations of the concept of truth really mean and what are their consequences; and this now seems to be an almost interminable task. (shrink)

ABSTRACT In ‘The philosophical basis of intuitionistic logic’, Michael Dummett discusses two routes towards accepting intuitionistic rather than classical logic in number theory, one meaning-theoretical and the other ontological. He concludes that the former route is open, but the latter is closed. I reconstruct Dummett's argument against the ontological route and argue that it fails. Call a procedure ‘investigative’ if that in virtue of which a true proposition stating its outcome is true exists prior to the execution of that procedure; (...) and ‘generative’ if the existence of that in virtue of which a true proposition stating its outcome is true is brought about by the execution of that procedure. The problem with Dummett's argument then is that a particular step in it, while correct for investigative procedures, is not correct for generative ones. But it is the latter that the ontological route is concerned with. (shrink)

This paper deals with the relationship that is sometimes said to hold between true beliefs and success. It argues for deflationism about truth. In particular, a position will be defended according to which the instrumental value of true beliefs can be accounted for within a deflationary framework. The paper denies that truth has any non-instrumental value in the sense that truth is pursued for its own sake. Moreover, the instrumental value of true beliefs will be explained in terms of psychological (...) regularities between agents’ ‘correct’ beliefs about the world, rather than in terms of truth as such. The argument concludes with the result that – in the strict sense – truth is valueless because truth is no (genuine) property. However, the value of individual true beliefs is acknowledged, insofar as they foster one’s behavioural success. (shrink)

In this paper, we offer a theory of the role of the nominal in complex demonstrative expressions, such as 'this dog' or 'that glove with a hole in it'.

This paper contributes to the study of explicit performative utterances in the following ways. First, it presents arguments that support Austin’s view that these utterances are not assertions. In doing so, it offers an original explanation of why they cannot be true or false. Second, it puts forward a new analysis of explicit performatives as cases of showing performing, rather than of instances of asserting or declaring that one is performing a particular act. Finally, it develops a new account of (...) the role of the performative prefix in signalling performative intentions that shows how the prefix can play a special role in the interpretation of performatives utterances. (shrink)

We argue that thinking of the man-machine comparison in terms of a contest involves, in a reasonable scenario, a criterion of success that is neutral. This is because we want to avoid a petitio principii. We submit, however, that, by looking at things this way, one makes the most essential human things invisible. Thus, in a sense, the contest approach is self-defeating.

I have two objectives in this paper. The first is to investigate whether, and to what extent, truth is valuable. I do this by first isolating the value question from other normative questions. Second, I import into the debate about the nature of truth some key distinctions hailing from value theory. This will help us to clarify the sense in which truth is valuable. I then argue that there is significant variability in the value of truth in different areas of (...) discourse. I shall call this the axiological variability conjecture. I illustrate and substantiate AVC by contrasting the occurrence of disagreement in two paradigmatically evaluative areas of discourse, viz. matters of taste, on the one hand, and morality, on the other. I claim that there is a reasonable tendency to care much more about settling moral disagreements than taste disagreements and that this difference has to do, at least partly but significantly, with the different value that truth exhibits in these two areas of discourse. I then turn to the second objective of the paper—namely, to discuss how pluralistic accounts of the nature of truth may deal with the value of truth in light of AVC. I will argue that AVC is a problem for all versions of truth pluralism that are committed to the following two theses: that truth is a value concept; and that this characteristic of the concept has to be reflected in the metaphysical nature of any admissible truth properties—i.e., all the various properties that are admissible in the pluralist account are value-conferring properties and thus intrinsically valuable. In so doing, I will focus primarily on Michael Lynch’s functionalist incarnation of truth pluralism. Lynch terms this “Manifestation Alethic Pluralism”. My reason for this is twofold: first and foremost, MAP is a paradigmatic exemplification of a model of truth pluralism that is committed to both and ; second, MAP has, to date, enjoyed the most discussion, and currently provides the most developed account of truth pluralism. However, I argue that MAP lacks the resources to account for AVC. Owing to this, I suggest two ways out for an advocate of MAP, which force various structural changes in her view. (shrink)

My answer will be ‘no’. And I’ll defend it by: distinguishing a concept’s having normative import from its being functionally normative; sketching a method for telling whether or not a concept is of the latter sort; responding to the antideflationist, Dummettian argument in favor of the conclusion that truth is functionally normative; proceeding to address a less familiar route to that conclusion—one that’s consistent with deflationism about truth, but that depends on the further assumption that meaning is intrinsically normative; and (...) arguing that this further assumption is mistaken. (shrink)

Since the publication of Truth, Paul Horwich’s ‘Minimalism’ has become the paradigm of what goes under the label ‘the deflationary conception of truth’. Despite the many theoretical virtues of Horwich’s minimalism, it is usually contended that it cannot fully account for the normative role that truth plays in enquiry. As I see it, this concern amounts to several challenges. One such challenge—call it the axiological challenge—is about whether deflationists have the theoretical resources to explain the value of truth. Some philosophers (...) have argued that they do not. The thought is that by being valuable in the way it is, truth plays a non-trivial explanatory role with respect to core phenomena of enquiry. In order to account for this aspect of truth, the challenge goes, we need to inflate truth’s nature to an extent incompatible with core tenets of the minimalist conception. In this paper, I first provide some clarifications of what we mean exactly when we say that truth is valuable. By borrowing important distinction from the current debate in axiology, I elaborate a framework within which to conduct investigations into the value of truth. With reference to Horwich’s discussion of the issue, I then discuss the link between questions concerning the explanatory role of truth and the issue of its metaphysical inflation. I conclude by briefly exploring a few strategies on behalf of minimalists to address the axiological challenge. (shrink)

Controversy has arisen of late over the claim that deflationism about truth requires that we explain meaning in terms of something other than truth-conditions. This controversy, it is argued, is due to unclarity as to whether the basic deflationary claim that a sentence and a sentence that attributes truth to it are equivalent in meaning is intended to involve the truth- predicate of the object language for which we develop an account of meaning, or is intended to involve the truth- (...) predicate of the metalanguage in which we develop an account of meaning. The former view is compatible with the truth-conditional theory of meaning for the object language, the latter is incompatible with it. However, the former view is also trivially true; hence we should endorse the claim that any form of deflationism worth being interested in is incompatible with understanding meaning truth-conditionally. (shrink)

Thinking and using a language are two different but similar activities. Thinking about thinking and thinking about language use have been two major strands in the history of philosophy. One of the principal similarities is that they are both rational activities. As a result, the ability to think and the ability to use a language require being able to recognise and respond to reasons. However, there is a further feature of these activities: we humans are able to have explicit knowledge (...) of how those activities work and what is done by performances in those activities. Thus, theorists face at least two constraints: 1. An account of a rational activity must be compatible with the possibility of agents engaging in that activity. 2. Having described an activity, it must be possible to have knowledge of an activity which is correctly described like that. There are a variety of accounts of how thinking works and how using a language works, and further variation in accounts of what is involved in explicit understanding of particular performances. These accounts can be distinguished by their views of the nature of the reasons that govern performances in that activity and by their views of the way a description of the activity relates to the way the activity proceeds. I argue that any description of thinking or language use requires showing how the truth conditions of thoughts/sentences are determined, and how the truth values of thoughts/sentences affects the way the activity proceeds. I then argue that in order to have explicit knowledge of what we do, truth has to be a substantial evaluative property of uses of language, and furthermore a truth conditional theory of meaning has to be taken as the description of the rationality of using a language. The big result is that, because in understanding language we understand truth, the philosophy of language is first philosophy. (shrink)

This paper is concerned with vagueness in language, its relation to logico-philosophical questions on the one hand, and to so-called syncategorematic terms and their linguistic use on the other hand. It attempts to show that it is not language itself which is vague but rather the way we use it.

Abstract I argue against the two most influential readings of Frege's methodology in the philosophy of logic. Dummett's ?semanticist? reading sees Frege as taking notions associated with semantical content?and in particular, the semantical notion of truth?as primitive and as intelligible independently of their connection to the activity of judgment, inference, and assertion. Against this, the ?pragmaticist? reading proposed by Brandom and Ricketts sees Frege as beginning instead from the independent and intuitive grasp that we allegedly have on the latter activity (...) and only then moving on to explain semantical notions in terms of the nature of such acts. Against both readings, I argue, first, that Frege gives clear indication that he takes semantical and pragmatical notions to be equally primitive, such that he would reject the idea that either sort of notion could function as the base for a non-circular explanation of the other. I argue, secondly, that Frege's own method for conveying the significance of these primitive notions?an activity that Frege calls ?elucidation??is, in fact, explicitly circular in nature. Because of this, I conclude that Frege should be read instead as conceiving of our grasp of the semantical and pragmatical dimensions of logic as far more of a holistic enterprise than either reading suggests. (shrink)

Abstract: According to deflationism, grasp of the concept of truth consists in nothing more than a disposition to accept a priori (non-paradoxical) instances of the schema:(DS) It is true that p if and only if p.According to contextualism, the same expression with the same meaning might, on different occasions of use, express different propositions bearing different truth-conditions (where this does not result from indexicality and the like). On this view, what is expressed in an utterance depends in a non-negligible way (...) on the circumstances. Charles Travis claims that contextualism shows that ‘deflationism is a mistake’, that truth is a more substantive notion than deflationism allows. In this paper, I examine Travis's arguments in support of this ‘inflationary’ claim and argue that they are unsuccessful. (shrink)

This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice. This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued (...) today is predicativistic constructivism based on Martin-Löf type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Löf. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Löf and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics? (shrink)

The standard inferentialist approaches to modal logic tend to suffer from not being able to uniquely characterize the modal operators, require that introduction and elimination rules be interdefined, or rely on the introduction of possible-world like indexes into the object language itself. In this paper I introduce a hypersequent calculus that is flexible enough to capture many of the standard modal logics and does not suffer from the above problems. It is therefore an ideal candidate to underwrite an inferentialist theory (...) of meaning for modal operators. Here I treat specifically the modal logics K, D, T, S4, B, and S5. I show that the calculi are adequate for each set of models, and show that they meet a large set of criteria that are generally thought necessary for a calculus to underwrite a theory of meaning. (shrink)

Later Wittgenstein is famous for having related meaning and use. Nonetheless, thanks to Dummett and Kripke, and the debates they provoked, a conventional wisdom is nowadays available: Wittgenstein, so the story goes, adopted a theory of meaning in terms of assertability conditions. This paper claims that it is wrong to attribute such a theory to the Investigations. For such a thesis to go through, one of the following two scenarios should be confirmed. It should either be true that Wittgenstein reduces (...) all meaning-engendering uses and conditions of use to assertion and assertability conditions, or that he invokes assertability conditions to show that meaning is always use. But, I will be claiming, the first scenario is excluded by Wittgenstein’s thoughts about the role of assertion and his thoughts about the sense-force distinction, while the second scenario is excluded by Wittgenstein’s thoughts about truth. (shrink)