My aim in this paper is to discuss the logical form of exemplification. In order to achieve this goal, I analyze three views on the logical form of exemplification, namely, Gustav Bergmann's logical realism, Wilfrid Sellars's meta-linguistic expressivism, and Javier Cumpa's logical eliminativism. I start by examining the account advanced by Bergmann in his 1960 essay "Ineffability, Ontology, and Method," according to which the logical form of exemplification is represented by the juxtaposition of logical signs in a sentence. Then I (...) consider two alternatives to Bergmann's realism, namely, Sellars's meta-linguistic expressivism, according to which exemplification is a quasi-semantical relation that is accounted for at a meta-linguistic level; and Cumpa's molecular theory of exemplification—which I will call logical eliminativism—according to which exemplification is an eliminable constituent of facts. I conclude that neither the account advanced by Sellars nor the one provided by Cumpa is preferable to Bergmann's account of the logical form of exemplification, while offering a defense of the latter. (shrink)

In theTractatus, Wittgenstein advocates two major notational innovations in logic. First, identity is to be expressed by identity of the sign only, not by a sign for identity. Secondly, only one logical operator, called “N” by Wittgenstein, should be employed in the construction of compound formulas. We show that, despite claims to the contrary in the literature, both of these proposals can be realized, severally and jointly, in expressively complete systems of first-order logic. Building on early work of Hintikka’s, we (...) identify three ways in which the first notational convention can be implemented, show that two of these are compatible with the text of theTractatus, and argue on systematic and historical grounds, adducing posthumous work of Ramsey’s, for one of these as Wittgenstein’s envisaged method. With respect to the second Tractarian proposal, we discuss how Wittgenstein distinguished between general and non-general propositions and argue that, claims to the contrary notwithstanding, an expressively adequate N-operator notation is implicit in theTractatuswhen taken in its intellectual environment. We finally introduce a variety of sound and complete tableau calculi for first-order logics formulated in a Wittgensteinian notation. The first of these is based on the contemporary notion of logical truth as truth in all structures. The others take into account the Tractarian notion of logical truth as truth in all structures over one fixed universe of objects. Here the appropriate tableau rules depend on whether this universe is infinite or finite in size, and in the latter case on its exact finite cardinality.As it is obviously easy to express how propositions can be constructed by means of this operation and how propositions are not to be constructed by means of it, this must be capable of exact expression.5.503. (shrink)

I argue that on very weak assumptions about truth (in particular, that there are coherent norms governing the use of "true"), there is a proposition absolutely inexpressible with conventional language, or something very close. I argue for this claim "constructively": I use a variant of the Berry Paradox to reveal a particular thought for my readership to entertain that very strongly resists conventional expression. I gauge the severity of this expressive limitation within a taxonomy of expressive failures, and argue that (...) despite its strength there is nothing incoherent about admitting its existence. The argument forms part of a project of clarifying precisely what trade-offs are required to secure the kinds of expressive power truth theorists typically want, in the process showing that the admission of very strong expressive limitations may ultimately prove to be the lesser of two evils. (shrink)

Si decidiésemos clasificar las teorías éticas en “inmanentistas” (aquellas que cifran lo éticamente aceptable en algún tipo de eventos del mundo, como por ejemplo el crecimiento utilitarista del beneficio general) y “trascendentalistas” (aquellas que ubican en algún espacio más allá de este mundo y esta vida el motivo de por qué comportarnos éticamente –por ejemplo, debido a alguna suerte de recompensa ultraterrena–), entonces el pensamiento moral del llamado “primer” Wittgenstein ocuparía un lugar especial entre ambos extremos de tal dicotomía. En (...) cierta medida, podría decirse que la propuesta ética del Wittgenstein que reflexionaba en torno a los años de composición del Tractatus guarda un delicado equilibrio que evita tanto su exclusivo sometimiento ante instancias trascendentales (fundamentos), como su asimilación total por parte de motivaciones inmanentes (provechos) a la hora de justificar el hecho de actuar de un modo correcto. En el presente artículo nos asomaremos a tal pirueta wittgensteiniana entre ambos miembros del dualismo trascendente-inmanente, y sugeriremos que el peculiar lugar en que deja lo ético, entre lo celestial y lo terrenal, acaso no sea del todo ajeno a tesis de la religión cristiana como la de la encarnación de lo divino en el mundo terreno. (shrink)

I discuss the account of logical consequence advanced in Wittgenstein's Tractatus. I argue that the role that elementary propositions are meant to play in this account can be used to explain two remarkable features that Wittgenstein ascribes to them: that they are logically independent from one another and that their components refer to simple objects. I end with a proposal as to how to understand Wittgenstein's claim that all propositions can be analysed as truth functions of elementary propositions.

_ Reading Wittgenstein with Anscombe, Going on to Ethics _By DiamondCoraHarvard University Press, 2019. vi + 332 pp.

Are inferences, theoretical and practical, subject to requirements of rationality? If so, are these of the form 'if … ought …' or 'ought … if …'? If the latter, how are we to understand the 'if'? It seems that, in all cases, we get unintuitive implications if 'ought' connotes having reason. It is difficult to formulate such requirements, and obscure what they explain. There might also be a requirement forbidding self-contradiction. It is a good question whether self-contradiction constitutes, or evidences, (...) irrationality; but talk of a rational requirement causes trouble. (shrink)

Are inferences, theoretical and practical, subject to requirements of rationality? If so, are these of the form 'if … ought …' or 'ought … if …'? If the latter, how are we to understand the 'if'? It seems that, in all cases, we get unintuitive implications if 'ought' connotes having reason. It is difficult to formulate such requirements, and obscure what they explain. There might also be a requirement forbidding self-contradiction. It is a good question whether self-contradiction constitutes, or evidences, (...) irrationality; but talk of a rational requirement causes trouble. (shrink)

In this paper, I draw attention to the often-overlooked Tractarian distinction between representing and depicting, provide a clear account of it and examine how it affects our understanding of the notions of ‘being a picture’, meaningfulness, truth, and falsity in the Tractatus. I also look at the recent debate in the literature on the notion of truth and show that Glock’s claim that the official theory of the Tractatus is to be accounted in terms of obtainment only and deflationary accounts (...) such as Hacker’s derive from a failure to notice the distinction between representing and depicting or a misconception of depicting. Finally, I argue against the idea that either representing or depicting should be dispensed with. Both are necessary for Wittgenstein to account for every case of a proposition being a picture of reality. (shrink)

En el prefacio al Tractatus, Wittgenstein establece que la cuestión del sinsentido tiene que ver con trazar los límites del lenguaje. Las expresiones sinsentido van más allá de los límites del lenguaje significativo y residen “del otro lado” de lo que puede ser dicho. Aún así, al final del libro declara que sus propias proposiciones son, hablando de manera estricta, sinsentidos. El presente trabajo pretende analizar la estrategia de auto-refutación del primer Wittgenstein como un modo de trascender los límites del (...) lenguaje, comparando su concepto de “sinsentido” con la visión de Kierkegaard acerca de la comunicación indirecta y de la ironía socrática. (shrink)

Frege ridiculed the formalist conception of mathematics by saying that the formalists confused the unimportant thing, the sign, with the important, the meaning. Surely, one wishes to say, mathematics does not treat of dashes on a bit of paper. Frege’s idea could be expressed thus: the propositions of mathematics, if they were just complexes of dashes, would be dead and utterly uninteresting, whereas they obviously have a kind of life. And the same, of course, could be said of any proposition: (...) Without a sense, or without the thought, a proposition would be an utterly dead and trivial thing. And further it seems clear that no adding of inorganic signs can make the proposition live. And the conclusion which one draws from this is that what must be added to the dead signs in order to make a live proposition is something immaterial, with properties different from all mere signs. But if we had to name anything which is the life of the sign, we should have to say that it was its use. (Blue Book, p. (shrink)

_ Source: _Page Count 21 The “Context Principle”, as the author understands it in this paper, is the claim that sub-sentential linguistic expressions have meaning only in the context of complete meaningful sentences. The author reconstructs the version of the Context Principle that Wittgenstein holds in the _Tractatus_, shows that it has intuitive plausibility and can be defended against alleged counterexamples, and develops an argument for its truth that can be found in the _Tractatus_. In short, the author argues that (...) the “fit” between the meanings of sentences and the meanings of the expressions they contain can only be adequately explained if one acknowledges that for a sub-sentential expression to have meaning _is_ for it to make a contribution to the meaning of a sentence. (shrink)

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)

It is argued that the finitist interpretation of wittgenstein fails to take seriously his claim that philosophy is a descriptive activity. Wittgenstein's concentration on relatively simple mathematical examples is not to be explained in terms of finitism, But rather in terms of the fact that with them the central philosophical task of a clear 'ubersicht' of its subject matter is more tractable than with more complex mathematics. Other aspects of wittgenstein's philosophy of mathematics are touched on: his view that mathematical (...) propositions are 'grammatical propositions' (and so, Strictly speaking, Not genuine propositions at all) and his view that in mathematics 'everything is algorithm, Nothing meaning'. His views on consistency and his anti-Foundationalism are linked with this central thesis. (shrink)

It is generally agreed that these passages are among the most important to be found in the Tractatus; they give the gist of Wittgenstein 's argument for his atomistic ontology as well as the crucial notion of propositional analysis. It is surprising therefore that most discussions of these entries are cursory and fail to set out the argument in detail.

This paper aims to make headway on two related issues—one methodological, the other substantive. The former concerns cost–benefit analyses when applied to metaphysical theory choice. The latter concerns material coincidence, i.e., multiple objects occupying the same space at the same time, such as the statue and the clay from which it’s made. The issues are entwined as many reject coincidence on the grounds that it’s costly. I argue this judgment is unjustified. More generally, I set out and defend a framework (...) for the use of cost–benefit analyses in metaphysics. The framework employs a fourfold division of pretheoretical costs and benefits, and theoretical costs and benefits. Yet these do not hold equal weight. Instead I argue that the appeal to theoretical benefits is illegitimate if the theory in question cannot first account for the relevant evidence or data, including, crucially, certain bits of pretheoretical or common knowledge. This is crucial because I not only argue that material coincidence is consistent with common sense, against what is widely believed, but that coincidence may even be a feature or implication of the common sense view. Put together, the result is that accepting an anti-coincidence theory for its putative theoretical virtues at the expense of common sense is an improper usage of the cost–benefit methodology. I instead conclude that material coincidence should be accepted with equanimity—which, after all, is free. (shrink)

Presented here is the transcript of a BBC radio broadcast by Elizabeth Anscombe that was recorded in May 1953 – the month when Wittgenstein’s Philosophical Investigations appeared in England for the first time. In her radio talk, Anscombe provides some biographical and philosophical background for reading the Philosophical Investigations. She addresses the importance of the Tractatus and of the literary qualities of Wittgenstein’s writing. Anscombe warns that it would be fruitless to adopt slogans from Wittgenstein without insight. She also calls (...) it a misunderstanding to think that Wittgenstein had championed something like the Ordinary Language Philosophy as it was practised at the time of the recording. (shrink)

O presente manual tem como intenção constituir um guia para uma disciplina introdutória de filosofia da linguagem. Foi elaborado a partir da leccionação da disciplina de Filosofia da Linguagem I na Faculdade de Letras da Universidade do Porto desde 2001. A disciplina de Filosofia da Linguagem I ocupa um semestre lectivo e proporciona aos estudantes o primeiro contacto sistemático com a área da filosofia da linguagem. Pretende-se que este manual ofereça aos estudantes os instrumentos necessários não apenas para acompanhar uma (...) iniciação ao campo da filosofia da linguagem mas também para o estudo e a investigação autónomos posteriores. Para isso é percorrido um trajecto que conduz das intuições pré-teóricas acerca de linguagem, de que todos dispomos, até um conhecimento disciplinar específico, histórico e temático, da filosofia da linguagem. Em termos práticos, são considerados como precedentes da disciplina de Filosofia da Linguagem I – mesmo se, pelo existem actualmente precedências em sentido estrito – as disciplinas de Lógica I e II e de Filosofia do Conhecimento I e II. Os programas dessas disciplinas nos últimos anos estiveram presentes por trás da elaboração do manual. (shrink)

This short book comprises “four largely self-contained studies … unified by a common interpretive approach”, the “investigation of the historical development of … Wittgenstein’s early philosophy”. Proops applies this historical approach to Wittgenstein’s conception of logic, his critique of “logical assertion,” his “picture theory” of language, and his discussion of the justification of deduction. He endeavors to “bring out how Wittgenstein develops his views … as foils to the positions developed by Frege and Russell”, arguing that “it is not Frege (...) but Russell whose work provides the most important background for … the Tractatus”. (shrink)

This dissertation investigates the origin, intellectual development and use of a semantic variant of the idea of logical space found implicitly in Kant and explicitly in early Wittgenstein and van Fraassen. It elucidates the idea of logical space as the idea of images or pictures representative of reality organized into a logico-mathematical structure circumscribing a form of all possible worlds. Its main claim is that application of these images or pictures to reality is through a certain conception of self. The (...) first chapter presents a novel interpretation of Kant’s semantic theory of schemata in the Critique of Pure Reason, showing that a structure of the imagination induced by the transcendental self informs an implicit idea of logical space. The second chapter offers an intellectual history of the idea through developments in the organization of images introduced by Helmholtz and Hertz. The third chapter reveals early Wittgenstein’s idea of logical space to be his notion of the self, demonstrating how this serves to unify propositions of the Tractatus Logico-Philosophicus concerning solipsism, realism, ethics, aesthetics and mysticism with those pertaining to the picture theory of meaning. The fourth chapter provides a historical overview of the development of van Fraassen’s empiricism in relation to his adaptation of logical space, and evaluates his recent proposal in Scientific Representation: Paradoxes of Perspective that the problem of coordination in the semantic view of theories is dissolved through self-location in logical space. After identifying a number of problems this proposal creates for his empiricism, a brief suggestion is made about how van Fraassen might improve upon his conception of logical space, and how an empiricist view of scientific representation might be understood as a result. (shrink)

In previous research, Schopenhauer is regarded as a consistent representative of a classical picture theory of language. The paper shows, however, that Schopenhauer does not only present a use theory of meaning in his lectures on logic, but also justifies it with the help of the context principle. Furthermore, it is discussed to what extent Schopenhauer's use theory of meaning is similar to the semantic theory of Ludwig Wittgenstein and his successors.

The "standard account" of Wittgenstein’s relations with the Vienna Circle is that the early Wittgenstein was a principal source and inspiration for the Circle’s positivistic and scientific philosophy, while the later Wittgenstein was deeply opposed to the logical empiricist project of articulating a "scientific conception of the world." However, this telegraphic summary is at best only half-true and at worst deeply misleading. For it prevents us appreciating the fluidity and protean character of their philosophical dialogue. In retrospectively attributing clear-cut positions (...) to Wittgenstein and his interlocutors, it is very easy to read back our current understanding of familiar distinctions into a time when those terms were used in a much more open-ended way. The paper aims to to provide a broader perspective on this debate, starting from the protagonists’ understanding of their respective positions. Too often, the programmatic statements about the nature of their work that are repeated in manifestoes, introductions, and elementary textbooks have occupied center stage in the subsequent secondary literature. Consequently, I focus on a detailed examination of a turning point in their relationship. That turning point is Wittgenstein's charge, in the summer of 1932, that a recently published paper of Carnap's, "Physicalistic Language as the Universal Language of Science", made such extensive and unacknowledged use of Wittgenstein's own ideas that Wittgenstein would, as he put it in a letter to Schlick, "soon be in a situation where my own work shall be considered merely as a reheated version or plagiarism of Carnap’s." While the leading parties in this dispute shared a basic commitment to the primacy of physicalistic language, and the view that all significant languages are translatable, there was a remarkable lack of mutual understanding between them, and deep disagreement about the nature of the doctrines they disputed. Three quarters of a century later, we are so much more conscious of the differences that separated them than the points on which they agreed that it takes an effort of historical reconstruction to appreciate why Wittgenstein once feared that his own work would be regarded as a pale shadow of Carnap’s. (shrink)

Book review of J. L. Zalabardo, Representation and Reality in Wittgenstein's Tractatus. Oxford: OUP 2015.

The paper examines the ethical standpoint of the Tractatus as it has been reconstructed by Cora Diamond (“the austere view”) and gives an account of some of the criticism this reconstruction has received in the work of P. M. S. Hacker and Meredith Williams (“the standard view”). The second half of the paper tries to argue that the austere and the standard views rather complement each other if we recognize “two I ’-s” in the Tractatus and if it is supposed (...) that there is a “3rd person” and “1st person” perspective which are both voiced on its pages. (shrink)