Alberto Coffa used the phrase "the Copernican turn in semantics" to denote a revolutionary transformation of philosophical views about the connection between the meanings of words and the acceptability of sentences and arguments containing those words. According to the new conception resulting from the Copernican turn, here called "the Copernican view", rules of use are constitutive of the meanings of words. This view has been linked with two doctrines: (A) the instances of meaning-constitutive rules are analytically and a priori true (...) or valid; (B) to grasp a meaning is to accept its rules. The pros and cons of different versions of the Copernican view, ascribable to Wittgenstein, Carnap, Gentzen, Dummett, Prawitz, Boghossian and other authors, will be weighed. A new version will be proposed, which implies neither (A) nor (B). (shrink)

Against a broad consensus within contemporary analytic philosophy, Hattiangadi (Mind and Language 21(2):220–240, 2006 , 2007 ) has recently argued that linguistic meaning is not normative, at least not in the sense of being prescriptive. She maintains, more specifically, that standard claims to the effect that meaning is normative are usually ambiguous between two readings: one, which she calls Prescriptivity , and another, which she calls Correctness . According to Hattiangadi, though meaning is normative in the uncontroversial sense specified in (...) the principle Correctness , it is not normative in the sense specified by Prescriptivity . In this paper, I instead show that meaning is normative in the sense of being prescriptive. My argument for this claim takes the form of a classical disjunctive syllogism. I argue that either Correctness implies (because it presupposes) Prescriptivity , or linguistically meaningful items are ‘intrinsically intentional.’ But linguistically meaningful items are not intrinsically intentional, and thus Correctness implies (because it presupposes) Prescriptivity. (shrink)

Response‐dispositional (RD) properties are standardly defined as those that involve an object's appearing thus or thus to some perceptually well‐equipped observer under specified epistemic conditions. The paradigm instance is that of colour or other such Lockean “secondary qualities”, as distinct from those—like shape and size—that pertain to the object itself, quite apart from anyone's perception. This idea has lately been thought to offer a promising alternative to the deadlocked dispute between hard‐line ‘metaphysical’ realists and subjectivists, projectivists, social constructivists, or hard‐line (...) anti‐realists. A chief source text is Plato's Euthyphro, where the issue is posed in ethical terms: do the gods infallibly approve virtuous acts on account of their divine moral omniscience or are virtuous acts just those the gods approve? Among the areas proposed as amenable to an RD approach are epistemology, ethics, political theory, and philosophy of mathematics. It is claimed that by making due allowance for the involvement of normalised or optimised human responses one can steer a course between the twin poles of an objectivist realism that places truth beyond our cognitive grasp and an epistemic conception that confines truth within the limits of humanly attainable proof, knowledge, or verification. Here I argue—on the contrary—that RD approaches can be shown to offer nothing more than a variant of the same old realist versus anti‐realist dilemma. That is, they work out either as a trivial (tautologous) claim that ‘truth’ simply equates with ‘best judgement’ in the ideal (quasi‐objective) limit or as the claim—advanced by anti‐realists like Michael Dummett—that we cannot form any adequate conception of objective (recognition‐transcendent) truths. After looking at this issue in various contexts of debate, I conclude that one useful (if pyrrhic) outcome is to demonstrate the non‐availability of any middle‐ground stance. We are left with the strictly unavoidable choice between a realist or objectivist approach and one that assimilates truth to the consensus of accredited best opinion. This latter amounts to a roundabout, elaborately qualified version of the anti‐realist case. (shrink)

Is there a plausible middle position in the debate between realists and constructivists about categories or kinds? Such a position may seem to be contained in the account of triangulation that Donald Davidson develops in recent writings. On this account, the kinds we pick out are determined by an interaction between our shared similarity responses and causal relations between us and things in our environment. So kinds and categories are neither imposed on us by the nature of the world, nor (...) imposed by us on an intrinsically unstructured reality. But the picture derivable from Davidson's account of triangulation can be interpreted in either of two ways. On one interpretation, it collapses into constructivism. On the other, it turns out to be very close to the most plausible versions of realism. It is argued that Davidson's attempts to distinguish his view from Putnam's realism about natural kinds are unsuccessful. So Davidson's account of triangulation does indeed suggest a plausible view of kinds. But that view is a version of traditional realist views, not an alternative to them. (shrink)

Many now accept the thesis that norms are somehow constitutively involved in people's contentful intentional states. I distinguish three versions of this normative thesis that disagree about the type of norms constitutively involved. Are they objective norms of correctness, subjective norms of rationality, or intersubjective norms of social practices? I show the advantages of the third version, arguing that it improves upon the other two versions, as well as incorporating their principal insights. I then defend it against two serious challenges: (...) (1) If content is constituted by others' normative judgments, how can content be causally efficacious? (2) This account appears to make having contentful thoughts a matter of people having contentful thoughts about your thoughts. That appears to be viciously circular and so can't be naturalistic. (shrink)

The paper puts forward the thesis of conceptual pragmatism: that there are pragmatic choices to be made between distinct but similar concepts within various contexts. It is argued that this thesis should be acceptable to all who believe in concepts, whether the believers are platonists, realists or anti-realists. It is argued that the truth of the thesis may help to resolve many long-standing debates, and that in any case it will lead to an extension of philosophical method. The paper then (...) briefly considers the concepts of belief and desire as a case-study, and argues for the recognition of the practical reasoner's stance (to stand alongside Dennett's intentional stance), relative to which we should select concepts of belief and desire which are broadly cartesian. (shrink)

Paul Roth claims that “interpretivists” in the philosophy of social sciences like Charles Taylor assume a positivist caricature of natural science to motivate their arguments against naturalism in the social sciences. Roth argues that not only is adopting the view of meaning relied upon by those he sometimes refers to as the “friends of understanding” unmotivated once the critique of positivism has been taken on board, he argues further that Quine has shown why this “meaning realism” is unavailable in principle. (...) Roth bolsters his use of Quine against interpretivists by referring to Kripke’s reading of Wittgenstein on rule-following. But McDowell has shown how Kripke overlooks an alternative reading of those remarks, which provides “interpretivists” with arguments against mainstream naturalism and which makes no use of anything resembling “meaning realism.” This opening for interpretivists is actually already present in Roth’s discussion of the distinction between “thin” and “thick” description. This suggests how mainstream naturalism itself might be rethought to accommodate interpretivism. (shrink)

Mark Jay Steiner, a brilliant and influential philosopher of mathematics, whose interests and accomplishments extended beyond that field as well, passed away on.

My overall aim is to show that there is a serious and compelling argument in Stanley Cavell’s work for why any philosophical theorizing that fails to recognize what Cavell refers to as “our common world of background” as a condition for the sense of anything we say or do, and to acknowledge its own dependence on that background and the vulnerability implied by that dependence, runs the risk of rendering itself, thereby, ultimately unintelligible. I begin with a characterization of Cavell’s (...) unique way of inheriting Austin and Wittgenstein – I call it “ordinary language philosophy existentialism” – as it relates to what Cavell calls “skepticism”. I then turn to Cavell’s response to Kripke in “The Argument of the Ordinary”, which is different from all other responses to Kripke’s _Wittgenstein on Rules and Private Language_ in that Cavell’s response, while _theoretically_ powerful, is at the same time also _existentialist_, in the sense that Cavell finds a way of _acknowledging in his writing_ the fundamental fact that his writing constitutes an _instance _of what he is writing about. This unique achievement of Cavell’s response to Kripke is not _additional _to his argument, but _essential_ to it: it enables him not merely to say, but to _show _that, and how, Kripke’s account falsifies what it purports to elucidate, and thereby to show that the theoretical question of linguistic sense is not truly separable, not even theoretically, from the broadly ethical question of how we relate to others, and how we conduct ourselves in relation to them from one moment to the next. (shrink)

In his _Being Known_ Peacocke sets himself the task of answering how we come to know about metaphysical necessities. He proposes a semantic principle-based conception consisting of, first, his Principles of Possibility which pro­vide necessary and sufficient conditions for a new concept 'admissibility', and second, characterizations of possibility and of necessity in terms of that new con­cept. I focus on one structural feature; viz. the recursive application involved in the specification of 'admissibility'. After sketching Peacocke’s proposal, I intro­duce a fictional (...) protagonist, Cautious Peacocke, whose coherence I claim shows that Peacocke s proposal cannot be made good. I conclude with the conjecture that similar failure will attend any such semantic-based attempts to ground the epistemology of metaphysical necessity. -/- Dans son livre intitulé Being Known, C. Peacocke se propose de repondre à la question de savoir comment nous en venons a connaitre des nécessités métaphysiques. Il développe une conception sémantique reposant sur des principes comprenant, d’une part, ses Principes de Possibilité — qui fournissent les conditions nécessaires et suffisantes pour un nouveau concept, « l’admissibilité » — et d’autre part des caractérisations de la possibilité et de la nécessité a l’aide de ce nouveau concept. Je me concentre sur une caractéristique structurelle, a savoir l’application récursive a l’œuvre dans la spécification de «l’admissibilité ». Apres avoir esquisse la proposition de Peacocke, j’introduis un personnage fictif, Peacocke-prudent. Je soutiens que la cohérence de ce personnage montre que la proposition de Peacocke ne peut pas être satisfaite. Je conclus en conjecturant qu’un échec similaire se présentera pour toutes les tentatives de fonder l’épistemologie de la nécessité métaphysique sur de telles bases semantiques. (shrink)

This article offers an explanation of perhaps Wittgenstein’s strangest and least intuitive thesis – the semantical mutation thesis – according to which one can never answer a mathematical conjecture because the new proof alters the very meanings of the terms involved in the original question. Instead of basing our justification on the distinction between mere calculation and proofs of isolated propositions, characteristic of Wittgenstein’s intermediary period, we generalize it to include conjectures involving effective procedures as well.

This paper compares Kant's transcendental idealism with three main groups of contemporary anti-realism, associated with Wittgenstein, Putnam, and Dummett, respectively. The kind of anti-realism associated with Wittgenstein has it that there is no deep sense in which our concepts are answerable to reality. Associated with Putnam is the rejection of four main ideas: theory-independent reality, the idea of a uniquely true theory, a correspondence theory of truth, and bivalence. While there are superficial similarities between both views and Kant's, I find (...) more significant differences. Dummettian anti-realism, too, clearly differs from Kant's position: Kant believes in verification-transcendent reality, and transcendental idealism is not a theory of meaning or truth. However, I argue that part of the Dummettian position is extremely useful for understanding part of Kant's position - his idealism about the appearances of things. I argue that Kant's idealism about appearances can be expressed as the rejection of experience-transcendent reality with respect to appearances. (shrink)

Papineau has suggested that the Principle of Non-Contradiction is a logical law that ?verificationists? are not entitled to claim as a prioritrue. The Principle, like that of Excluded Middle, is not sufficiently grounded in the ?miserly? epistemology of verificationism to be proven in ?verificationist logic?. We examine who might be challenged by this claim: who are the ?verificationists?? We defend our candidates against Papineau's criticisms and other attacks, but this leaves the verificationist open to a different criticism.

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)

In this chapter a new problem about rule-following is outlined, one that is distinct both from Kripke’s and Wright’s versions of the problem. This new problem cannot be correctly responsed to, as Kripke’s can, by invoking Wright’s Intentional Account of rule-following. The upshot might be called, following Kant, an antinomy of pure reason: we both must — and cannot — make sense of someone’s following a rule. The chapter explores various ways out of this antinomy without here endorsing any of (...) them. (shrink)

This book offers an historically-informed critical assessment of Dummett's account of abstract objects, examining in detail some of the Fregean presuppositions whilst also engaging with recent work on the problem of abstract entities.

Explores the stable core of Wittgenstein's philosophy as developed from the Tractatus to the Philosophical Investigations.

forthcoming in R. Cameron, B. Hale and A. Hoffmann (ed.s), The Logic, Epistemology and Metaphysics of Modality, Oxford University Press. Presents a concept-grounding account of modal knowledge.

This paper presents a new argument to defend the normativity of meaning, specifically the thesis that there are no meanings without norms. The argument starts from the observation inferentialists have emphasized that incompatibility relations between sentences are a necessary part of meaning as it is understood. We motivate this approach by showing that the standard normativist strategy in the literature, which is developed in terms of veridical reference that may swing free from the speaker’s understanding, violates the ought-implies-can principle, but (...) ours does not. In addition, our approach is superior because, unlike the representationalist approach, it can be extended from declarative sentences to non-representational uses of language. In this paper, however, we only formulate the argument for the base case that involves incompatibility relations between declarative sentences. The goal is not to derive norms from something that is not normative, but to explicate the distinctive type of normativity that is built into meaning as it is understood by language-users. The explication proceeds in two steps. (1) For any sentence s a speaker understands, there is an incompatible sentence s’ the speaker understands to be incompatible with s. (2) In virtue of understanding this incompatibility of meanings, she ought not to be committed to both s and s’. This prohibition is not derived from instrumental practical reason, nor is it based on representational correctness, but its source is the incompatibility of meanings. (shrink)

Ludwig Wittgenstein in his later works often implies commitment to a doctrine of the autonomy or arbitrariness of grammar. This chapter discusses the conception of grammar that is presupposed in this doctrine and then explains the doctrine itself. The chapter also explains a sense in which grammar is not autonomous or arbitrary for Wittgenstein and discusses some possible criticisms of the doctrine. It should be noted at the outset that this whole area of exegetical concern is one in which the (...) fairly widespread conception in the secondary literature that the later Wittgenstein is a complete “quietist” in philosophy ‐ i.e., someone who advances no positive doctrines of his own, although encouraged by some of his own statements, seems impossible to sustain. Wittgenstein's doctrine of the autonomy or arbitrariness of grammar presupposes a highly distinctive conception of grammar, one which at least prima facie has little to do with our everyday conception of grammar. (shrink)

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

The paper develops an account of semantic notions which occupies a middle ground between antirealism and traditional forms of realism, using some ideas from the work of John McDowell. The position is based on a contrast between two points of view from which we might attempt to characterize our linguistic practices from the cosmic exile s point of view and from the midst of language as a going concern. The contrast is drawn in terms of whether our characterization of our (...) linguistic practices is taken to result from engagement in the very same practices that we are trying to characterize. The position takes realism to be correct when understood as an account from the internal perspective, but incorrect when taken as an account from the external perspective. However, the intelligibility of the question as to what our practices would look like from the cosmic exile s point of view is presented as problematic. (shrink)

I argue that a target of the rule - following considerations is the thought that there are mental episodes in which a consciously accessible item guides me in my decision to respond in a certain way when I follow a rule. I contend that Wittgenstein’s position on this issue invokes a distinction between a literal and a symbolic reading of the claim that these processes of guidance take place. In the literal sense he rejects the claim, but in the symbolic (...) sense he sees nothing wrong with it. I consider some arguments that Wittgenstein deploys against the literal sense of the claim. (shrink)

This is a short, and therefore necessarily very incomplete discussion of one of the great questions of modern philosophy. I return to a station at which an interpretative train of thought of mine came to a halt in a paper written almost 20 years ago, about Wittgenstein and Chomsky,[1] hoping to advance a little bit further down the track. The rule-following passages in the Investigations and Remarks on the Foundations of Mathematics in fact raise a number of distinct issues about (...) rules, meaning, objectivity, and reasons, whose conflation is encouraged by the standard caption, "the Rule-following Considerations".[2] So, let me begin by explaining my focus here. (shrink)

In this paper I argue that there can be genuine (as opposed to merely verbal) disputes about whether a sentence form is logically true or an argument form is valid. I call such disputes ?cases of deviance?, of which I distinguish a weak and a strong form. Weak deviance holds if one disputant is right and the other wrong, but the available evidence is insufficient to determine which is which. Strong deviance holds if there is no fact of the matter. (...) In section 2 I argue that weak deviance need not be trivial and may even be interesting. Section 3 considers what it could mean to say that logic is determined by a theory, especially a theory of meaning, an idea that arises in section 2. In section 4 I discuss the dispute between classical and relevance logicians over entailment and argue that it is a case of strong deviance. Finally, in section 5 I show that the result of the previous section is not absolute but relative to the background logic used in reaching it. (shrink)

The relation between Wittgenstein's philosophy of mathematics and mathematical Intuitionism has raised a considerable debate. My attempt is to analyse if there is a commitment in Wittgenstein to themes characteristic of the intuitionist movement in Mathematics and if that commitment is one important strain that runs through his Remarks on the foundations of mathematics. The intuitionistic themes to analyse in his philosophy of mathematics are: firstly, his attacks on the unrestricted use of the Law of Excluded Middle; secondly, his distrust (...) of non-constructive proofs; and thirdly, his impatience with the idea that mathematics stands in need of a foundation. These elements are Fogelin's starting point for the systematic reconstruction of Wittgenstein's conception of mathematics. (shrink)

SummaryMany contemporary philosophers of language believe that realist metaphysics and a beha‐viouristic approach to language are incompatible, debate centring on which is to be given up. In this paper I argue that no incompatibility has been shown to exist. In the first section I attempt to give both a characterization of, and an argument for, behaviourism. Then I attempt to characterize realism more generally than is often done, evaluating the work of Dummett, Quine, Putnam and Wittgenstein, as recently interpreted, in (...) that light. Finally I attempt to sketch a behaviouristic justification of classical predicate logic and offer some programmatic remarks on behaviouristic accounts of mathematics and natural science.RésuméBien des philosophes contemporains du langage, estimant qu'une métaphysique réaliste et une approche behavioriste sont incompatibles, centrent le débat sur la question «lequel des deux doit‐il être sacrifité?» Je montre dans ce papier qu'on n'a jamais pu prouver l'existence d'une incompatibilité. Dans la première partie, je tente de caractériser et de défendre le behaviorisme. Puis j'essaie de caractériser le réalisme plus généralement que cela n'a été souvent fait et évalue dans cette perspective les oeuvres de Dummett, de Quine, de Putnam et de Wittgenstein à la lumière de leurs interprétations récentes. Finalement, je propose une justification behavioriste de la classique logique des prédicats et quelques remarques programmatiques quant à une approche behavioriste des mathématiques et des sciences naturelles.ZusammenfassungManche zeitgenössische Philosophen glauben, dass eine realistische Metaphysik nicht mit einer behavioristischen Betrachtungsweise der Sprache vereinbar sei, wobei sich der Streit um die Frage dreht, welche der beiden Haltungen aufgegeben werden müsse. Ich argurnentiere, dass die Unvereinbarkeit nicht wirklich nachgewiesen wurde. Im ersten Abschnitt versuche ich, den Beha‐viorismus genauer zu charakterisieren und zu seinen Gunsten zu argumentieren. Ich versuche dann, eine allgemeinere Charakterisierung des Realismus zu geben, als das üblich ist, indem ich die Werke von Dummett, Quine, Putnam und Wittgenstein, wie sie neuerdings unter diesen Gesichts‐punkt interpretiert werden, beurteile. lch versuche schliesslich, eine behavioristische Rechtferti‐gung der klassischen Prädikatenlogik zu skizzieren, und lege auch einige programmatische Bemerkungen zur behavioristischen Behandlung von Mathematik und Naturwissenschaft vor. (shrink)

In “Truth by Convention” W.V. Quine gave an influential argument against logical conventionalism. Even today his argument is often taken to decisively refute logical conventionalism. Here I break Quine’s arguments into two— the super-task argument and the regress argument—and argue that while these arguments together refute implausible explicit versions of conventionalism, they cannot be successfully mounted against a more plausible implicit version of conventionalism. Unlike some of his modern followers, Quine himself recognized this, but argued that implicit conventionalism was explanatorily (...) idle. Against this I show that pace Quine’s claim that implicit conventionalism has no content beyond the claim that logic is firmly accepted, implicit rules of inference can be used to distinguish the firmly accepted from the conventional. As part of my case, I argue that positing syntactic rules of inference as part of our linguistic competence follows from the same methodology that leads contemporary linguists and cognitive scientists to posit rules of phonology, morphology, and grammar. The upshot of my discussion is a diagnosis of the fallacy in Quine’s master critique of logical conventionalism and a re-opening of possibilities for an attractive conventionalist theory of logic. (shrink)

En este trabajo examino el argumento de McFetridge a favor de la necesidad de la creencia en la necesidad. El argumento pretende establecer un dilema fatal para el “nihilista” modal, aquel que no cree que al menos alguna proposición es necesaria. Mi objetivo principal es mostrar que el dilema que presenta el argumento de McFetridge no es sólido, pues tiene una limitación muy importante con respecto al segundo de sus cuernos, el cual es el más interesante. El segundo cuerno del (...) dilema plantea una especie de argumento trascendental: es necesario creer en la necesidad si es que vamos a ser capaces de razonar confiablemente bajo suposiciones contrafácticas. Sin embargo, este argumento asume que la suposición contrafáctica es una actividad esencial en nuestras vidas, lo cual señala, sostengo, un punto central alrededor del cual el nihilista modal intentaría reafirmar su posición. Así, pretendo mostrar que el segundo cuerno del dilema de McFetridge revela que el quid de la discusión entre creyentes y nihilistas modales debe moverse propiamente de la cuestión del rol de la creencia en la necesidad a la cuestión del rol de la suposición contrafáctica. (shrink)

In this paper Section 1 distinguishes between two modes of interpreting legal rules: rehearsal and discourse, arguing that the former takes priority over the latter in law, as in many other contexts. Section 2 offers two arguments that following a legal rule in the rehearsing mode presents a riddle. The first argument develops from law, and submits that legal rules do not tell us anything, because they are tautological. The second one develops from philosophy (Wittgenstein's later works), confronting us with (...) the paradox that incompatible courses of action may be derived from any rule. My solution presents a theory of rules as icons (Section 3). I use “icon” rather than “picture,” partly to avoid confusion with what is known among philosophers as “the picture theory of meaning.” Interpretation in the rehearsing mode hinges on imagination: imagining oneself in the space of reasons for action rather than reasoning oneself. In this act of imagination, we project ourselves into the rule in ways that are similar to the way we grasp the sense of paintings, music, stories, or poems. Finally (Section 4) I will defend the position that my view solves the puzzles in the second section, by arguing (a) that it is a better account of what Wittgenstein wrote than two competing theories (intuitionism and conventionalism), and (b) that it provides a more satisfactory account of how lawyers deal with legal rules in actual practice. (shrink)

Despite the otherwise-dominant trends towards physicalism and naturalism in philosophy, it has become increasingly common for metaphysicians to accept the existence either of modal facts and properties, or of Lewisian possible worlds. This paper raises the historical question: why did these heavyweight realist views come into prominence? The answer is that they have arisen in response to the demand to find truthmakers for our modal statements. But this demand presupposes that modal statements are descriptive claims in need of truthmakers. This (...) presupposition was, however, rejected by many earlier analytic philosophers, including the logical positivists, Wittgenstein, Ryle and Sellars, all of whom denied that modal statement were descriptive at all. Yet the non-descriptivist approach has largely fallen out of discussion and out of philosophical consciousness. In this paper I examine why non-descriptivist views first came into and then fell out of favor, and consider what the prospects are for reviving this more deflationary approach to modality. (shrink)

Modality presents notorious philosophical problems, including the epistemic problem of how we could come to know modal facts and metaphysical problems about how to place modal facts in the natural world. These problems arise from thinking of modal claims as attempts to describe modal features of this world that explain what makes them true. Here I propose a different view of modal discourse in which talk about what is “metaphysically necessary” does not aim to describe modal features of the world, (...) but, rather, provides a particularly useful way of expressing constitutive semantic and conceptual rules in the object language. The result is a “modal normativist” view that enables us to avoid the epistemic problems of modality and mitigate the metaphysical worries, while also leaving open the possibility of a unified account of the function of modal language. Finally, I address a serious challenge: we have the norms we do in order to track the modal facts of the world, so that the order of explanation must go in the opposite direction. I close by showing how the normativist may answer that challenge. (shrink)

Those who aim to give an account of modal knowledge face two challenges: the integration challenge of reconciling an account of what is involved in knowing modal truths with a plausible story about how we can come to know them, and the reliability challenge of giving a plausible account of how we could have evolved a reliable capacity to acquire modal knowledge. I argue that recent counterfactual and dispositional accounts of modal knowledge cannot solve these problems regarding specifically metaphysical modal (...) truths—leaving us with the threat of skepticism about large portions of metaphysics, and certain other areas of philosophy. I argue, however, that both of these problems look insuperable only if we assume that metaphysical modal discourse serves a describing or tracking function. If we adopt instead a normativist approach to metaphysical modal discourse, which sees the basic function of modal discourse as giving us perspicuous ways of conveying, reasoning with, and renegotiating semantic rules, the problems show up very differently. The modal normativist can give a plausible response to both of the classic problems of how we can come to know metaphysical modal truths. (shrink)

According to Wittgenstein, mathematics is embedded in, and partly constituting, a form of life. Hence, to imagine different, alternative forms of elementary mathematics, we should have to imagine different practices, different forms of life in which they could play a role. If we tried to imagine a radically different arithmetic we should think either of a strange world or of people acting and responding in very peculiar ways. If such was their practice, a calculus expressing the norms of representation they (...) applied could not be called false. Rather, our criticism could only be to dismiss such a practice as foolish and to dismiss their norms as too different from ours to be called ‘mathematics’. (shrink)

To explain an intentional action one must exhibit the agent’s reasons. Donald Davidson famously argued that the only clear way to understand action explanation is to hold that reasons are causes. Davidson’s discussion conflated two issues: whether reasons are causes and whether reasons causally explain intentional action. Contemporary work on explanation and normativity help disentangle these issues and ground an argument that intentional action explanations cannot be a species of causal explanation. Interestingly, this conclusion is consistent with Davidson’s conclusion that (...) reasons are causes. In other words, reasons are causes, but rationalizing explanations are not causal explanations. Key Words: action theory • explanation • causal explanation • rationality • Donald Davidson. (shrink)

The main question of metasemantics, or foundational semantics, is why an expression token has the meaning (semantic value) that it in fact has. In his reading of Ludwig Wittgenstein’s later work, Saul Kripke presented a skeptical challenge that threatened to make the foundational question unanswerable. My first contention in this paper is that the skeptical challenge indeed poses an insoluble paradox, but only for a certain kind of metasemantic theory, against which the challenge effectively works as a reductio ad absurdum (...) argument. My second contention is that as a result of rejecting the theory which entails a paradoxical outcome, we will see that the foundational question essentially involves a temporal dimension. After arguing that the skeptical challenge gives us a strong reason to adopt a historical view of meaning, I shall further argue against certain authors who claim that meanings not only have histories but futures as well, or that the meaning of a word may change retroactively in time as a consequence of counterfactual change in its future use. The major aim of the paper is thus to bring together the arguably interrelated debates about the skeptical challenge and temporal externalism in philosophy of language. (shrink)

The two main challenges of the theory of conceptual content presented by Robert Brandom in Making It Explicit are to account for a referential dimension of conceptual content and to account for the objectivity of conceptual norms. Brandom tries to meet both these challenges in chapter 8 of his book. I argue that the accounts presented there can only be understood if seen against the background of Brandom's theory of communication developed in chapter 7. This theory is motivated by the (...) well-known problem that semantic holism threatens the possibility of communication because it has the consequence that words mean different things in different mouths. Brandom offers a solution to this problem in terms of what he calls recurrence commitments. I show that chapter 8 of Making It Explicit should be understood as arguing that a practice that includes acknowledging interpersonal recurrence commitments institutes both conceptual contents with a referential dimension and objective conceptual norms. I close by raising the objection that Brandom's argument can only show that conceptual norms are communally shared and not that they are objective. I propose an emendation of this argument, having recourse to a practice Brandom refers to as rational rectification in his new book Between Saying and Doing. (shrink)

This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

In its most general form, the issue of intentionality takes the following shape: How can something be about something else? In basic cases, this relation is one between a subjective occurrence and a state of affairs, allowing the problem of intentionality to be articulated in this manner: What makes it the case that a subjective occurrence has the capacity to be about something external to it? The views of John McDowell on intentionality form the focus of this article. They are (...) examined through the notion of content and via the later Wittgenstein's standpoint on content and intentionality. The main objective is to reach a conspicuous perspective of McDowell's stance on intentionality in order to uncover its presuppositions. This leads to the identification of a pivotal point of tension in McDowell's philosophical commitments, in particular the extent to which he can legitimately claim to be a quietist. (shrink)

In the scholarship on Wittgenstein’s later philosophy of mathematics, the dominant interpretation is a theoretical one that ascribes to Wittgenstein some type of ‘ism’ such as radical verificationism or anti-realism. Essentially, he is supposed to provide a positive account of our mathematical practice based on some basic assertions. However, I claim that he should not be read in terms of any ‘ism’ but instead should be read as examining philosophical pictures in the sense of unclear conceptions. The contrast here is (...) that basic assertions that frame philosophical ‘isms’ are propositional such that they are subject to normal argumentative evaluation, while pictures in Wittgenstein’s sense are non-propositional—they lack a clear truth condition. They, therefore, need clarification rather than argumentation. In this paper, I provide a detailed analysis of Wittgenstein’s treatment of philosophical pictures with special focus on his argument on contradiction. I begin by explaining the problem with this trend of theoretical interpretation, taking Steve Gerrard’s otherwise excellent interpretation as a representative example and pointing out why it is problematic. Next, I will argue that those problems do not arise if we take Wittgenstein’s task as the clarification of philosophical pictures. I do this, first, by explaining Wittgenstein’s method using his argument concerning the Augustinian Picture in Philosophical Investigations and then pointing out that the same method can be identified in the crucial arguments in his philosophy of mathematics. Finally, in order to connect my interpretation with the current scholarship, I will explain the relation of my interpretation with those of New Wittgensteinian scholars. (shrink)

This article examines Hilary Putnam's work in the philosophy of mathematics and - more specifically - his arguments against mathematical realism or objectivism. These include a wide range of considerations, from Gödel's incompleteness-theorem and the limits of axiomatic set-theory as formalised in the Löwenheim-Skolem proof to Wittgenstein's sceptical thoughts about rule-following, Michael Dummett's anti-realist philosophy of mathematics, and certain problems – as Putnam sees them – with the conceptual foundations of Peano arithmetic. He also adopts a thought-experimental approach – a (...) variant of Descartes' dream scenario – in order to establish the in-principle possibility that we might be deceived by the apparent self-evidence of basic arithmetical truths or that it might be ‘rational’ to doubt them under some conceivable set of circumstances. Thus Putnam assumes that mathematical realism involves a self-contradictory ‘Platonist’ idea of our somehow having quasi-perceptual epistemic ‘contact’ with truths that in their very nature transcend the utmost reach of human cognitive grasp. On this account, quite simply, ‘nothing works’ in philosophy of mathematics since wecan either cling to that unworkable notion of objective truth or abandon mathematical realism in favour of a verificationist approach that restricts the range of admissible statements to those for which we happen to possess some means of proof or ascertainment. My essay puts the case, conversely, that these hyperbolic doubts are not forced upon us but result from a false understanding of mathematical realism – a curious mixture of idealist and empiricist themes – which effectively skews the debate toward a preordained sceptical conclusion. I then go on to mount a defence of mathematical realism with reference to recent work in this field and also to indicate some problems – as I seethem – with Putnam's thought-experimental approach as well ashis use of anti-realist arguments from Dummett, Kripke, Wittgenstein, and others. (shrink)