On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical language—in particular, by the basic mathematical principles we’re disposed to accept. But it’s mysterious how this can be so, since, as is well known, minimally strong first-order theories are non-categorical and so are compatible with countless non-isomorphic interpretations. As for second-order theories: though they typically enjoy categoricity results—for instance, Dedekind’s categoricity theorem for second-order PA and Zermelo’s quasi-categoricity (...) theorem for second-order ZFC—these results require full second-order logic. So appealing to these results seems only to push the problem back, since the principles of second-order logic are themselves non-categorical: those principles are compatible with restricted interpretations of the second-order quantifiers on which Dedekind’s and Zermelo’s results are no longer available. In this paper, we provide a naturalist-friendly, non-revisionary solution to an analogous but seemingly more basic problem—Carnap’s Categoricity Problem for propositional and first-order logic—and show that our solution generalizes, giving us full second-order logic and thereby securing the categoricity or quasi-categoricity of second-order mathematical theories. Briefly, the first-order quantifiers have their intended interpretation, we claim, because we’re disposed to follow the quantifier rules in an open-ended way. As we show, given this open-endedness, the interpretation of the quantifiers must be permutation-invariant and so, by a theorem recently proved by Bonnay and Westerståhl, must be the standard interpretation. Analogously for the second-order case: we prove, by generalizing Bonnay and Westerståhl’s theorem, that the permutation invariance of the interpretation of the second-order quantifiers, guaranteed once again by the open-endedness of our inferential dispositions, suffices to yield full second-order logic. (shrink)

This paper considers the claims representatives of the ‘creativity movement’ make in regards to change and the future. This will particularly focus on the role that the arts are supposed to play in responding to industrial imperatives for the 21st century. It is argued that the compressed vision of the future offered by creativity experts succumbs to the nihilism so often described by Nietzsche. The second part of the paper draws on Stanley Cavell's chapter ‘Philosophy the Day After Tomorrow’ to (...) consider a future oriented arts education that may not fall victim to nihilism. (shrink)

We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.

Second part of the translation into Spanish of David Lewis' "New Work for a Theory of Universals", corresponding to the last sections of the original paper. || Segunda parte de la traducción al español del trabajo de David Lewis "New Work for a Theory of Universals", correspondiente a últimas secciones del artículo original. Artículo original publicado en: Australasian Journal of Philosophy, Vol. 61, No. 4, Dec. 1983, pp. 343-377.

ABSTRACT: Christopher Peacocke defends a sophisticated version of Conceptual Role Theory. For him, the nature of a concept is completely determined by an account of what it is to possess that concept. The possession conditions he puts forward rest on the notion of primitively compelling transitions or, more recently, on the idea of implicit conceptions. I show that his account is circular and appeals to a dubious distinction between constitutive transitions and transitions that depend on factual beliefs. I also point (...) out that his possession conditions violate the Publicity Constraint; and, finally, I raise doubts about the psychological reality of primitively compelling transitions and implicit conceptions. (shrink)

According to orthodox views of philosophical methodology, when philosophers appeal to intuitions, they treat them as evidence for their contents. Call this “descriptive evidentialism.” Descriptive evidentialism is assumed both by those who defend the epistemic status of intuitions and by those, including many experimental philosophers, who criticize it. This article shows, however, that the idea that philosophers treat intuitions as evidence struggles to account for the way philosophers treat intuitions in a variety of philosophical contexts. In particular, it cannot account (...) for philosophers' treatment of a priori intuitions, for nonpropositional uses of intuition, and for philosophers' failure to use intuition to exclude the counterintuitive. The article concludes that alternatives to descriptive evidentialism (some of which are sketched) must be developed, and that much of the recent debate between traditionalists and skeptics from, for example, experimental philosophy is probably based on a false presupposition. (shrink)

The Moral Twin Earth challenge to ethical naturalism threatens to undermine an otherwise promising metaethical view by showing that typical, naturalist-friendly theories of reference determination predict diverging reference in Twin Earth scenarios, making it difficult to account for substantive moral disagreement. Several theorists have recently invoked David Lewis’s doctrine of reference magnetism as a solution, claiming that a highly elite moral property—a moral “joint in nature”—could secure shared reference between ourselves and our twins on Twin Earth, despite our diverging usages (...) of moral terms. This paper argues that this move has significant methodological implications: namely, it entails that a certain sort of simplicity is truth-conducive. Consequently, when applied to moral theories, this gives certain views, specifically monist ones like utilitarianism and contractualism, an advantage over their more complicated rivals, forms of pluralism and particularism. Thus, ethical naturalists cannot invoke reference magnetism without a substantial impact on first-order theorizing. (shrink)

This paper considers the ways in which Wittgenstein’s (1958) later philosophy and his ideas on language games, as well as Sacks’ (1992) work on conversational turns, has been applied in relation to the notion of context in language use discourse studies, and in particular discursive psychology. In terms of the application of Wittgenstein, I argue that it is not simply the case that he is referring to different language games as different interactional contexts, but rather that he is making a (...) much more complex point concerning language use by competent users within a given game. In the case of Sacks, I argue that turns within conversation cannot be simply read of as evidence of a particular (inter-)action on the analyst’s part but rather must be considered in terms of how interlocutors render to one another the intelligibility of “what is going on” within the ordering of turns. (shrink)

Michael Dummett's anti-realism is founded on the semantics of natural language which, he argues, can only be satisfactorily given in mathematics by intuitionism. It has been objected that an analog of Dummett's argument will collapse intuitionism into strict finitism. My purpose in this paper is to refute this objection, which I argue Dummett does not successfully do. I link the coherence of strict finitism to a view of confirmation — that our actual practical abilities cannot confirm we know what would (...) happen if we could compute impracticably vast problems. But to state his case, the strict finitists have to suppose that we grasp the truth conditions of sentences we can't actually decide. This comprehension must be practically demonstrable, or the analogy with Dummett's argument fails. So, our actual abilities must be capable of confirming that we know what would be the case if actually undecidable sentences were true, contradicting the view of confirmation. I end by considering objections. (shrink)

Among Wittgenstein’s thought experiments, the wood-sellers is one of the most controversial. According to an absolutist interpretation, they are meant to show that we cannot transcend our concepts,...

What do we learn about language from reading Wittgenstein'sPhilosophical Investigations? This question gains urgency from Wittgenstein's alleged animus against philosophical theorizing and his indirectness. Section 1 argues that Wittgenstein's goal is to prevent philosophical questioning about the foundations of language from the beginning. This conception of his aim is not in tension with Wittgenstein's use of the notion of community; community interpretations of his views betray a misguided commitment to the coherence of the idea that language might need grounding. Wittgenstein's (...) goal is not to enjoin us not to step outside of language-games, but to show that we have insufficiently clear grasp of the terms we try to use to express the limits of intelligibility. Section 2 suggests that appreciating Wittgenstein's moral concerning the relation between language and philosophizing about it involves allowing him to teach us how to read his book. What makes readingPhilosophical Investigations possible is openness to learning how not to forget our lives in language. (shrink)

In chapter 3 of Wittgenstein on Rules and Private Language, Kripke’s Wittgenstein offers a “sceptical solution" to the sceptical paradox about meaning developed in chapter 2 (according to which there are no facts in virtue of which ascriptions of meaning such as “Jones means addition by ‘+’” can be true). Although many commentators have taken the sceptical solution to be broadly analogous to non-factualist theories in other domains, such as non-cognitivism or expressivism in metaethics, the nature of the sceptical solution (...) has not been well-understood. The main aim of this paper is to advance our understanding of the nature of the non-factualism about meaning proposed in the sceptical solution. It attempts to outline some desiderata that should be respected by interpretations of the sceptical solution and considers two objections raised against it in Barry Stroud’s paper “Wittgenstein on Meaning, Understanding and Community". It attempts to correct misconstruals of the sceptical solution that have been promulgated by Davidson and some of his followers and suggests that the sceptical solution developed by Kripke’s Wittgenstein is best viewed as a form of quasi-realism about meaning. It ends by outlining what it takes to be the most pressing challenges facing the sceptical solution. (shrink)

ABSTRACTThis paper discusses Claudine Verheggen's account of what she takes to be Donald Davidson's response to the sceptical paradox about rule-following and meaning developed in Saul Kripke's interpretation of Wittgenstein's ‘rule-following considerations.’ It focusses on questions about the normativity of meaning, the social character of meaning, and the role of triangulation in Davidson's account of the determination of meaning, and invites Verheggen to compare the non-reductionism she finds in Davidson with that developed in Crispin Wright's judgement-dependent account of meaning.RÉSUMÉCet article (...) examine ce que Claudine Verheggen considère comme étant la réponse de Donald Davidson au paradoxe sceptique développé dans l'interprétation qu'offre Saul Kripke des remarques de Wittgenstein sur la possibilité de suivre une règle. Je me concentre en particulier sur des questions concernant la normativité de la signification, le caractère social de la signification et le rôle que la notion de triangulation joue dans la position de Davidson sur la détermination de la signification. J'invite aussi Verheggen à comparer le non-réductionnisme davidsonien avec celui défendu par Crispin Wright dans sa conception de la signification en tant que dépendante du jugement. (shrink)

There are countless occasions when we find people’s thought or action intelligible, or anticipate what they will think or do, or are at least unsurprised by what they think or do, despite our having little if any information about their attitudes other than what we can gather from their situation and non-verbal behaviour. This article explores the role of practices, conceived as essentially rule-governed activities, is making this possible. Consideration is given to practicies for the use of words.

The analysis here is an attempt to show how the current epistemological theory of response‐dependence (R‐D) may be relevant to understanding putative ontological claims of the empirical social sciences. To this end I argue that the constitutive features of human response, central to R‐D theory, can be made explicit for social science. I conclude that for the empirical social sciences the implication of combining R‐D and certain forms of statistical analyses leads to the possibility of an events‐based ontology.

In this paper, I argue for three main claims. First, that there are two broad sorts of error theory about a particular region of thought and talk, eliminativist error theories and non-eliminativist error theories. Second, that an error theory about rule following can only be an eliminativist view of rule following, and therefore an eliminativist view of meaning and content on a par with Paul Churchland’s prima facie implausible eliminativism about the propositional attitudes. Third, that despite some superficial appearances to (...) the contrary, non-eliminativist error theory does not provide a plausible vehicle for understanding the ‘sceptical solution’ to the sceptical paradox about rule - following developed in Saul Kripke’s Wittgenstein on Rules and Private Language. (shrink)

It has recently been claimed that there is a “new hard problem” for physicalism. The new hard problem, according to Goff, is based on “semantic phenomenology”, the view that conscious perceptual experience represents linguistic expressions as having determinate meanings. Goff argues that Kripke’s rule-following argument demonstrates that it is particularly difficult for a physicalist to account for semantic phenomenology. In this paper, we argue that Goff’s discussion of semantic phenomenology fails to uncover a “new” hard problem for physicalism and there (...) is a hard problem—which Goff misses—facing philosophers who accept the reality of semantic phenomenology, but that this is as much a problem for non-reductionists about meaning as it is for physicalists. All we have been given is a familiar hard problem about rule-following, not a new hard problem about consciousness. (shrink)

In this paper I will argue that Crispin Wright’s defence of the claim that the truth about intention is judgement-dependent is unstable because it can serve also to establish that the truth about shape is judgement-dependent, thereby violating his constraint that in developing the distinction between judgement-independent and judgement-dependent subject matters we have to be driven by the assumption that colour and shape will fall on different sides of the divide.

I consider Lewis’ appeal to naturalness to solve Kripke ’s rule - following paradox. I then present a different interpretation of this paradox and offer reasons for thinking that this is what Kripke had in mind. I argue that Lewis’ proposal cannot provide a solution to this version of paradox.

This paper presents a distinctively metaphysical version of the problem of other minds. The main source of this version of the problem lies in the principle that, when it comes to consciousness, no distinction can sensibly be drawn between appearance and reality. I will argue that, unless we want to call that principle into question, we should seriously consider the possibility of accepting the conclusion that other minds are not like our own. This option is less problematic than it might (...) seem at first if we are willing to reconceive facts of consciousness as subjective rather than objective in nature. -/- . (shrink)

The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...) property and that, while both temperature and its bases are, this does not generate any problem of overdetermination. (shrink)

Through a new interpretation of Wittgenstein's rule-following discussions, this article defends a negotiating model of normativity according to which normative authority is always subject to contestation. To refute both individualism and collectivism, I supplement Wittgenstein's Private Language Argument with a Social Language Argument, showing that normativity cannot be monopolized either individually or socially (i.e. it cannot be privatized or collectivized). The negotiating view of normativity here developed lays the foundations of a politics of radical contestation which converges with Chantal Mouffe's (...) framework of 'radical democracy', while departing from her agonism in preserving the structuring and constraining role that tacit agreement in action plays in rule-following practices. My account of the 'burdens of eccentricity' elucidates how the normative force of dissidence can be properly recognized and used effectively for social transformations. I argue that there is a 'presumption of normalcy' in favour of the established consensus of action, but that this presumption is defeasible: in normative disagreements, a violation of expected normalcy shifts the burden onto the shoulders of rebellious agents who must show that their dissenting behaviour can be a legitimate extension, revision, or transformation of the practice in question. (shrink)

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

Ethical non-naturalists often charge that their naturalist competitors cannot adequately explain the distinctive normativity of moral or more broadly practical concepts. I argue that the force of the charge is mitigated, because non-naturalism is ultimately committed to a kind of mysterianism about the metaphysics of practical norms that possesses limited explanatory power. I then show that focusing on comparative judgments about the explanatory power of various metaethical theories raises additional problems for the non-naturalist, and suggest grounds for optimism that a (...) naturalistic realist about practical normativity will ultimately be able to explain the distinctive normativity of practical norms. I then show that radical pluralism or particularism about the structure of normative ethics would complicate the naturalistic strategy that I defend. This suggests a perhaps surprising way in which the resolution of the debate between ethical naturalists and non-naturalists may rest in part on the answers to substantive normative questions. (shrink)

Ethical non-naturalists often charge that their naturalist competitors cannot adequately explain the distinctive normativity of moral or more broadly practical concepts. I argue that the force of the charge is mitigated, because non-naturalism is ultimately committed to a kind of mysterianism about the metaphysics of practical norms that possesses limited explanatory power. I then show that focusing on comparative judgments about the explanatory power of various metaethical theories raises additional problems for the non-naturalist, and suggest grounds for optimism that a (...) naturalistic realist about practical normativity will ultimately be able to explain the distinctive normativity of practical norms. I then show that radical pluralism or particularism about the structure of normative ethics would complicate the naturalistic strategy that I defend. This suggests a perhaps surprising way in which the resolution of the debate between ethical naturalists and non-naturalists may rest in part on the answers to substantive normative questions. (shrink)

This chapter offers an analysis of the authoritatively normative concept PRACTICAL OUGHT that appeals to the constitutive norms for the activity of non-arbitrary selection. It argues that this analysis permits an attractive and substantive explanation of what the distinctive normative authority of this concept amounts to, while also explaining why a clear statement of what such authority amounts to has been so elusive in the recent literature. The account given is contrasted with more familiar constitutivist theories, and briefly shows how (...) it answers “schmagency”-style objections to constitutivist explanations of normativity. Finally, the chapter explains how the account offered here can help realists, error theorist, and fictionalists address central challenges to their views. (shrink)

Many interpreters have noted that §§138–242 of Wittgenstein's Philosophical Investigations is dominated by an attack on a platonist or classical realist conception of rules and meaning. In this paper, I address the lack of clarity that still exists concerning the nature and strength of the arguments in those sections. I argue that Wittgenstein's attack is genuinely compelling if viewed as an intricate reductio ad absurdum argument that runs all the way through §§138–201. On my reading, the well-known regress-of-interpretations argument is (...) merely one stage in the overall reductio and is not sufficient on its own to generate the rule-following paradox. (shrink)

In this paper, I argue that genuine ethical deliberation, and hence ethical agency, is incompatible in principle with the possession of determinate practical prescriptions concerning how best to act in a concrete ethical situation. I make this argument principally by way of an analogy between gameplay and ethical deliberation. I argue that trivially solved games of perfect information (the example I use is tic‐tac‐toe) are, or become, in some sense unplayable for the individual for whom the game is trivially solved. (...) The reason for this, I suggest, is that there ceases to be space within the game for the distinction between that individual being a better and being a worse player of the game. I then use this example as an occasion to reflect on the kind of epistemic indeterminacy that appears to be a condition of genuine ethical deliberation. (shrink)

Many claims about conceptual matters are often represented as, or inferred from, claims about the meaning, reference, or mastery, of words. But sometimes this has led to treating conceptual analysis as though it were nothing but linguistic analysis. We canvass the most promising justifications for moving from linguistic premises to substantive conclusions. We show that these justifications fail and argue against current practice (in metaethics and elsewhere), which confuses an investigation of a word’s meaning, reference, or competence conditions with an (...) analysis of some concept or property associated with that word. (shrink)

This is a survey of recent debates concerning the normativity of belief. We explain what the thesis that belief is normative involves, consider arguments for and against that thesis, and explore its bearing on debates in metaethics.

This article clarifies the motivations for and commitments of metaphysical realism and shows that it is compatible with various kinds of referential indeterminacy.

Some omissions seem to be causes. For example, suppose Barry promises to water Alice’s plant, doesn’t water it, and that the plant then dries up and dies. Barry’s not watering the plant – his omitting to water the plant – caused its death. But there is reason to believe that if omissions are ever causes, then there is far more causation by omission than we ordinarily think. In other words, there is reason to think the following thesis true.

In the Philosophical Investigations, Wittgenstein is sometimes claimed to hold a redundancy theory of truth. The main evidence to support this view, however, comes from a single passage, number 136, which has been misinterpreted. In this essay I argue for an alternative interpretation of the critical passage in question. The purpose behind Wittgenstein’s remarks is not to provide a general theory of truth, per se. Rather, Wittgenstein uses the section as a way to introduce his notion of fit, a notion (...) that will play a more substantial role in his later arguments on following rules. Furthermore, if Wittgenstein did hold something close to a redundancy theory of truth, such a view would illuminate remarks from the earlier notebooks about a crucial Tractarian view rather than his later view from the Investigations: the so-called “Picture Theory”. (shrink)

The ‘Private Language’ sections of the Philosophical Investigations §§ 243–315 serve to undermine the idea that our ordinary felt sensations, e.g., of heat, or cold, or pain, together with our experienced impressions of colour or of sound, are ‘private’ or ‘inner’ objects, where an object mirrors in the mental realm what we associate with that of the physical. This paper explores Wittgenstein's method in these sections, together with the work of several of his commentators who agree with his ‘therapeutic’ approach (...) to the denial of a possible private language. More significantly, however, it discovers a paradox in the fact that a number of philosophers who claim that his ‘Argument Against Private Language’ is unsuccessful point in reaching this conclusion to the very features concerning first-person sensation ascription that Wittgenstein employs to reveal that our ordinary sensations are not ‘private’ to us in that sense identified in § 243, which talks of ‘a language used to refer to what only its speaker can know’, viz, ‘his immediate private sensations’. This helps to explain why there is still no general agreement on the significance of §§ 243–315. (shrink)

In Wittgenstein on Rules and Private Language, Kripke's Wittgenstein argues that it is possible for individuals in communities to speak a language and otherwise follow rules, but impossible for a single, conceptually isolated individual to do so. I show that the roots of the argument lie in his general account of the legitimacy of practices, and that he actually argues for two distinct conclusions: (a) solitary individuals cannot have useful practices of rule‐following and (b) solitary individuals cannot place substantive restrictions (...) on their own behavior. I show that if it is, in fact, possible for individuals in communities to use language and follow rules, then both of Kripke's Wittgenstein's anti‐solitary language arguments fails; and, furthermore, that his general account not only fails to exclude the possibility of solitary language‐use and rule‐following, it actually guarantees their possibility. (shrink)

Metaontology – the study of the nature of ontological issues – has flourished in recent years. The focus of this summary will be on some views and arguments that are central to today’s debate. One theme will be that of how seriously to take ontology: whether there is reason to take a skeptical or deflationary attitude toward ontological claims, as theorists like Rudolf Carnap, Hilary Putnam, and Eli Hirsch in different ways have urged. The other theme will be that of (...) the viability of the Fregean and Quinean approaches to ontology that have been and still are central to analytic philosophy. (shrink)

There has been much discussion of so-called teleosemantic approaches to the naturalization of content. Such discussion, though, has been largely confined to simple, innate mental states with contents such as ?There is a fly here.? Even assuming we can solve the issues that crop up at this stage, an account of the content of human mental states will not get too far without an account of productivity: the ability to entertain indefinitely many thoughts. The best-known teleosemantic theory, Millikan's biosemantics, offers (...) an account of productivity in thought. This paper raises a basic worry about this account: that the use of mapping functions in the theory is unacceptable from a naturalistic point of view. (shrink)

1. The issue - The reflection I am proposing was stimulated by some recent research on the mental processing of proper names. However, the issue I am raising is independent of both the particular nature of such results and the fact that they are accepted as well established. The question I would like to ask is whether (neuro)psychological results on the mental processing of language can falsify (or confirm) semantic theses about natural language. By a semantic thesis I mean something (...) like any of the following. (shrink)

Our limited a priori-reasoning skills open a gap between our finding a proposition conceivable and its metaphysical possibility. A prominent strategy for closing this gap is the postulation of ideal conceivers, who suffer from no such limitations. In this paper I argue that, under many, maybe all, plausible unpackings of the notion of ideal conceiver, it is false that ideal negative conceivability entails possibility.

Theories of number concepts often suppose that the natural numbers are acquired as children learn to count and as they draw an induction based on their interpretation of the first few count words. In a bold critique of this general approach, Rips, Asmuth, Bloomfield [Rips, L., Asmuth, J. & Bloomfield, A.. Giving the boot to the bootstrap: How not to learn the natural numbers. Cognition, 101, B51–B60.] argue that such an inductive inference is consistent with a representational system that clearly (...) does not express the natural numbers and that possession of the natural numbers requires further principles that make the inductive inference superfluous. We argue that their critique is unsuccessful. Provided that children have access to a suitable initial system of representation, the sort of inductive inference that Rips et al. call into question can in fact facilitate the acquisition of larger integer concepts without the addition of any further principles. (shrink)

Rudolf Carnap’s principle of tolerance states that there is no need to justify the adoption of a logic by philosophical means. Carnap uses the freedom provided by this principle in his philosophy of mathematics: he wants to capture the idea that mathematical truth is a matter of linguistic rules by relying on a strong metalanguage with infinitary inference rules. In this paper, I give a new interpretation of an argument by E. W. Beth, which shows that the principle of tolerance (...) does not suffice to remove all obstacles to the employment of infinitary rules. (shrink)