I argue for the Wittgensteinian thesis that mathematical statements are expressions of norms, rather than descriptions of the world. An expression of a norm is a statement like a promise or a New Year's resolution, which says that someone is committed or entitled to a certain line of action. A expression of a norm is not a mere description of a regularity of human behavior, nor is it merely a descriptive statement which happens to entail a norms. The view can (...) be thought of as a sort of logicism for the logical expressivist---a person who believes that the purpose of logical language is to make explicit commitments and entitlements that are implicit in ordinary practice. The thesis that mathematical statements are expression of norms is a kind of logicism, not because it says that mathematics can be reduced to logic, but because it says that mathematical statements play the same role as logical statements. ;I contrast my position with two sets of views, an empiricist view, which says that mathematical knowledge is acquired and justified through experience, and a cluster of nativist and apriorist views, which say that mathematical knowledge is either hardwired into the human brain, or justified a priori, or both. To develop the empiricist view, I look at the work of Kitcher and Mill, arguing that although their ideas can withstand the criticisms brought against empiricism by Frege and others, they cannot reply to a version of the critique brought by Wittgenstein in the Remarks on the Foundations of Mathematics. To develop the nativist and apriorist views, I look at the work of contemporary developmental psychologists, like Gelman and Gallistel and Karen Wynn, as well as the work of philosophers who advocate the existence of a mathematical intuition, such as Kant, Husserl, and Parsons. After clarifying the definitions of "innate" and "a priori," I argue that the mechanisms proposed by the nativists cannot bring knowledge, and the existence of the mechanisms proposed by the apriorists is not supported by the arguments they give. (shrink)

Wittgenstein's "Tractatus" claims the possibility to represent quantificational logic by means of a single basic operation. Fogelin regards the "Tractatus" system as seriously flawed and thus not suited for this aim, while Geach and Soames propose extensions and corrections of the Tractarian notational system. If the unusual Tractarian view -- every variable can be conceived as a propositional variable -- is taken full account of, we find out, that the "Tractatus" system is well suited to deal even with the problematic (...) cases of mixed quantifiers with many-place predicates. By expanding the view of variables as certain two-dimensional lists of propositions we find adequate representations of formulas like fxy in the logic of the "Tractatus". Surprisingly we don't need anything which corresponds to formulas with two or more free variables like fxy, and still get the full power of ordinary quantificational logic. (shrink)

The review praises the philosophical quality, but is less enthusiastic about the scholarship and historical accuracy.

This paper discusses Wittgenstein's take on the problem of other minds. In opposition to certain widespread views that I collect under the heading of the “No Problem Interpretation,” I argue that Wittgenstein does address some problem of other minds. However, Wittgenstein's problem is not the traditional epistemological problem of other minds; rather, it is more reminiscent of the issue of intersubjectivity as it emerges in the writings of phenomenologists such as Husserl, Merleau-Ponty, and Heidegger. This is one sense in which (...) Wittgenstein's perspective on other minds might be called “phenomenological.” Yet there is another sense as well, in that Wittgenstein's positive views on this issue resemble the views defended by phenomenologists. The key to a proper philosophical grasp of intersubjectivity, on both views, lies in rethinking the mind. If we conceive of minds as essentially embodied we can understand how intersubjectivity is possible. (shrink)

In this article I offer a novel explanation of Wittgenstein’s claim, in his Tractatus, that to represent the logical form of a proposition would require our being positioned outside of logic. The account here presented aims to exploit a connection, widely noticed, between the logical forms of objects and those of the propositions in which the names of those objects figure. I show that the logical forms of propositions may, on Wittgenstein’s view, be identified with places in logical space, and (...) that places in logical space are reducible to the forms of both objects and their names. I argue, though, that according to Wittgenstein the representation of a proposition’s logical form would require the existence of a place in logical space not so reducible. I conclude that on Wittgenstein’s position, the attempt to represent logical forms cannot, therefore, succeed. (shrink)

Algunos nombres usados en nuestro lenguaje no se aplican efectivamente a nada ni nadie si son tomados de forma literal, pues carecen de referente. En términos searleanos, su significatividad no depende que puedan dar cuenta o no de ejemplares en el mundo; su significatividad se "mide" en el uso de ellos en tal o cual discurso, en medio de explicaciones o caracterizaciones forjadas por reglas, pues hablar un lenguaje es tomar parte activa en una conducta compleja gobernada por reglas. Este (...) artículo sustenta cómo en la filosofía de Searle la significatividad de los discursos, entre ellos los de la ciencia o los de la ficción, se logra en la emisión de actos ilocucionarios que hacen posible la invención de mundos cargados de significados, aun cuando estos carezcan de referencia directa. Some names in our language are not indeed applied to anything or nobody if they are taken literally, because they lack their referent. According to Searle, names´ significance does not depend on how they can give account or not of world samples; their significance "is measured" in the use of them in this or that speech, amid explanations or characterizations forged by rules, because to speak a language it is to take active part in a complex rule-governed behavior. This article supports how in the philosophy of Searle meaningfulness of speeches, including those of science or fiction, is achieved in the issuance of illocutionary acts that make possible the invention of worlds full of meanings, even when they lack direct referent. (shrink)

Une question très discutée chez les interprètes de Wittgenstein est celle de savoir comment comprendre le paradoxe au sujet des règles dont il parle dans le paragraphe 201 des Recherches philosophiques. Ilécrit: ‘Notre paradoxe était le suivant: une règle ne pourrait déterminer aucune conduite parce que n'importe quelle conduite pourrait être mise en accord avec la règle’. Un peu plus haut, il faisait dire à son interlocuteur: ‘“Mais comment une règle peut-elle m'apprendre ce que je dois faire en ce point? (...) Peu importe ce que je fais, cela pourra s’ accorder suivant une interprétation ou une autre avec la règle “’. (shrink)

Wittgenstein's insistence in his later philosophy that explanation comes to an end in the explication of what it is to follow a rule provides a locus for the awakening of wonder, analogous to the mystical awe referred to in the "Tractatus". While Wittgenstein did not explore this analogy, it provides a point of entry into the examination of the relevance of his work to religious concerns. Every regular practice is built on capacities of reaction, uptake, and response which are the (...) endpoints of explanation, whose sheer givenness in their relation to our physical and social environment can bring on amazement. This wonder at the end of explanation has been explored -- from quite a different perspective -- by Stephen Gould, whose conclusions complement Wittgenstein's own. (shrink)

Drawing Wittgenstein's and Irigaray's philosophies into conversation might help resolve certain misunderstandings that have so far hampered both the reception of Irigaray's work and the development of feminist praxis in general. A Wittgensteinian reading of Irigaray can furnish an anti-essentialist conception of "woman" that retains the theoretical and political specificity feminism requires while dispelling charges that Irigaray's attempt to delineate a "feminine" language is either groundlessly utopian or entails a biological essentialism.

In his Tractatus, Wittgenstein sets out what he calls his N-operator notation which can be used to calculate whether an expression is a tautology. In his Laws of Form, George Spencer Brown offers what he calls a “primary algebra” for such calculation. Both systems are perplexing. But comparing two blurry images can reduce noise, producing a focus. This paper reveals that Spencer Brown independently rediscovered the quantifier-free part of the N-operator calculus. The comparison sheds a flood light on each and (...) from the letters of correspondence we shall find that Russell, as one might have surmised, was a catalyst for both. (shrink)

The dissertation attempts to answer the question of how to theorize resistance from within the philosophy of social science. To answer this question we must consider more than just the philosophy of social science; we also must look to political and moral philosophy. Resistance to the social norms of one’s community is possible to theorize from within the philosophy of social science once we develop a sufficiently nuanced account of social and moral communities, according to which membership in a community (...) is not defined by sharing judgments, conceptual frameworks, or comprehensive worldviews, but by sharing terms of discourse so that discussion about judgments, conceptual frameworks, and comprehensive worldviews is possible. Understanding the structure of one’s moral community is not the same as to endorsing that structure. This suggests that contestation is already present within communities about what ‘we’ do, up to and including who ‘we’—as a ‘community’—are. Challenging communitarian understandings of what makes a community a community, I argue that communities are best understood as forming around common concerns or perceptions of problems. This contestation plays a major role in determining the identities of communities, and these identities are constantly shifting. (shrink)

The paper presents a formal explication of the early Wittgenstein's views on ontology, the syntax and semantics of an ideal logical language, and the propositional attitudes. It will be shown that Wittgenstein gave a language of thought analysis of propositional attitude ascriptions, and that his ontological views imply that such ascriptions are truth-functions of (and supervenient upon) elementary sentences. Finally, an axiomatization of a quantified doxastic modal logic corresponding to Tractarian semantics will be given.

In this paper, I first review previous interpretations of Wittgenstein's remarks on private language, revealing their inadequacies, and then present my own interpretation. Basing mainly on Wittgenstein's notes for lectures on private sensations, I establish the following points: ‘remembering the connection right’ means ‘reidentifying sensation-types’; the reason for ‘no criterion of correctness’ is that nothing, especially no inner mechanisms nor external devices, can be utilised by the private speaker to tell whether some sensations are of one type or different types; (...) and private names are not really names, private language is not really a language, therefore, private language is a grammatical illusion. My interpretation has the advantage of being able to reconcile Wittgenstein's conception of philosophy, which is to dissolve philosophical problems by rearranging grammatical facts, with his actual philosophical practice, at least in the case of private language. (shrink)

NB: This paper has been largely displaced by my: “Externalism, Metasemantic Contextualism and Self-Knowledge”, in Goldberg, (ed.) Externalism, Self-Knowledge and Skepticism. New York: Oxford University Press, 2015, pp. 228-247. // -/- While straightforwardly ambiguous words like “bank” and obviously indexical words like “I” are unproblematically treated as referring to different things in different contexts, such variations are displayed by terms that seem neither ambiguous nor indexical. This paper will argue that traditional accounts of word meaning (in which a single fixed (...) meaning is attached to each entry in one’s ‘mental lexicon’) have problems accounting for how the referent of a non-ambiguous/non-indexical term can shift from context to context, while a moderate version of semantic holism can do so by understanding the comparative weight of the meaning-constitutive beliefs as itself something which can vary from context to context. (shrink)

RESUMO O objetivo deste artigo é mostrar que as interpretações "tradicional" e "resoluta" não livraram o "Tractatus" da aparente autoderrota paradoxal. Argumento que essas leituras apresentam apenas uma nova roupagem ao paradoxo. A leitura "tradicional" de Hacker acaba atribuindo uma conspiração metafísica ao "Tractatus", o que é incompatível com os objetivos do livro. A leitura "resoluta" de Diamond e Conant atribui a Wittgenstein uma conspiração autoral, o que contradiz suas opiniões sobre autoria e método. Com base nas dificuldades encontradas em (...) ambos os lados do debate atual, concluo este artigo propondo vários requisitos que a correta interpretação do "Tractatus" deve preencher. (shrink)

This thesis sketches an interpretation of Wittgenstein’s Tractatus centering on his treatment of necessity and normativity. The purpose is to unite Wittgenstein’s account of logic and language with his brief remarks on ethics by stressing the transcendental nature of each. Wittgenstein believes that both logic and ethics give necessary preconditions for the existence of language and the world, and because these conditions are necessary, neither logic nor ethics can be normative. I conclude by erasing the standard line drawn between his (...) philosophy and his ethics, and redrawing it between the philosophical and artistic presentations of his thought, the latter being what remains after the nonsensical status of the work is recognized. (shrink)

The following inquiry pursues two interlinked aims. The first is to understand Wittgenstein's idea of non-foundational certainty in the context of a reading of On Certainty that emphasizes its Pyrrhonian elements. The second is to read Wittgenstein's remarks on idealism/radical skepticism in On Certainty in parallel with the discussion of rule-following in Philosophical Investigations in order to demonstrate an underlying similarity of philosophical concerns and methods. I argue that for the later Wittgenstein, what is held certain in a given context (...) of inquiry or action is a locally transcendental condition of the inquiry or action in question. In On Certainty, Wittgenstein's analysis of the difference between knowledge and certainty forms the basis of his critique of both Moore's "Proof" and radical skepticism. This critique takes the shape of rejection of a presupposition shared by both parties, and utilizes what I identify as a Pyrrhonian-style argument against opposed dogmatic views. Wittgenstein's method in this text involves describing epistemic language-games. I demonstrate that this is consistent with the rejection of epistemological theorizing, arguing that a Wittgensteinian "picture" is not a theory, but an impressionistic description that accomplishes two things: (i) throwing into relief problems with dogmatic theories and their presuppositions, and (ii) describing the provenance of linguistic and epistemic practices in terms of norms grounded in convention. Convention, in turn, is not arbitrary, but grounded in the biological and social natures of human beings--in what Wittgenstein calls forms of life. Thus there is a kind of naturalism in the work of the later Wittgenstein. It is a naturalism that comes neatly dovetailed with Pyrrhonism--a combination of strategies traceable to Hume's work in the Treatise. I read Hume as someone who develops the Pyrrhonian method to include philosophy done "in a careless manner," and argue that Wittgenstein adopts a similar method in his later works. Finally, I explain the deference to convention in the work of both Hume and Wittgenstein by reference to a passage in Sextus' Outlines, on which I provide a gloss in the final chapter of this work. (shrink)