This paper investigates Wittgenstein’s account of the relation between elementary and molecular propositions (and thus, also, the propositions of logic) in the Tractatus Logico-Philosophicus. I start by sketching a natural reading of that relation – which I call the “bipartite reading” – holding that the Tractatus gives an account of elementary propositions, based on the so-called picture theory, and a different account of molecular ones, based on the principle of truth- functionality. I then show that such a reading cannot be (...) attributed to Wittgenstein, because he holds the view that an explanation of logical complexity is already given by a correct account of the (pictorial) nature of elementary propositions; this is implied in his claim that “an elementary proposition contains all logical constants/operations in itself”. After clarifying Wittgenstein’s notion of an operation from the Notes on Logic to the Tractatus, I finally explain why Wittgenstein claims that an elementary proposition contains all logical operations in itself, and hence why he can be said to provide a unified (and thus not bipartite) account of language and logic. (shrink)

Many commentators have attempted to say, more clearly than Wittgenstein did in his Tractatus logico-philosophicus, what sort of things the ‘simple objects’ spoken of in that book are. A minority approach, but in my view the correct one, is to reject all such attempts as misplaced. The Tractarian notion of an object is categorially indeterminate: in contrast with both Frege's and Russell's practice, it is not the logician's task to give a specific categorial account of the internal structure of elementary (...) propositions or atomic facts, nor, correlatively, to give an account of the forms of simple objects. The few commentators who have hitherto maintained this view have mainly devoted themselves to establishing that this was Wittgenstein's intention, and do not much address the question why Wittgenstein held that it is not the logician's business to say what the objects are. The present paper means to fill this lacuna by placing this view in the context of the Tractatus's treatment of logic generally, and in particular by connecting it with Wittgenstein's treatment of generality and with his reaction to Russell's approach to logical form. (shrink)

In Carnap’s autobiography, he tells the story how one night in January 1931, “the whole theory of language structure” in all its ramifications “came to [him] like a vision”. The shorthand manuscript he produced immediately thereafter, he says, “was the first version” of Logical Syntax of Language. This document, which has never been examined since Carnap’s death, turns out not to resemble Logical Syntax at all, at least on the surface. Wherein, then, did the momentous insight of 21 January 1931 (...) consist? We seek to answer this question by placing Carnap’s shorthand manuscript in the context of his previous efforts to accommodate scientific theories and metalinguistic claims within Wittgenstein’s Tractatus theory of meaning. The breakthrough of January 1931 consists, from this viewpoint, in the rejection of the Tractatus theory in favor of the meta-mathematical perspective of Hilbert, Gödel, and Tarski. This was not yet the standpoint of the published Logical Syntax, as we show, but led naturally to the “principle of tolerance” and thus to Carnap’s mature philosophy, in which the inconsistencies between this first view and the principle of tolerance, which survived into the published Syntax, were overcome. (shrink)

This paper aims to argue against the resolute reading, and offer a correct way of reading Wittgenstein'sTractatus. According to the resolute reading, nonsense can neither say nor show anything. The Tractatus does not advance any theory of meaning, nor does it adopt the notion of using signs in contravention of logical syntax. Its sentences, except a few constituting the frame, are all nonsensical. Its aim is merely to liberate nonsense utterers from nonsense. I argue that these points are either not (...) distinctive from standard interpretations or incorrect. Instead, the Tractarian elucidations help to shed light on the nature of language and logic, and introduce the correct method in philosophy. Philosophy deals with philosophical utterances and Tractarian elucidations by pointing out that they are nonsensical. By doing this, one is helped to see that what they appear to be saying is shown by significant propositions saying something else. (shrink)

The paper critically scrutinizes the widespread idea that Russell subscribes to a "Universalist Conception of Logic." Various glosses on this somewhat under-explained slogan are considered, and their fit with Russell's texts and logical practice examined. The results of this investigation are, for the most part, unfavorable to the Universalist interpretation.

This paper critically discusses Hacker’s reading of nonsense in Wittgenstein’s Tractatus in terms of his notion of misuse, which is taken to consist in the violation of rules of logical syntax. I argue that Hacker’s reading relies on an equivocation between sign and symbol: what is ‘misused’ is a mere sign, but the verdict of nonsensicality relies on seeing it as a symbol. Although Hacker seeks to distance himself from resolute readings – according to which nonsense always consists in nothing (...) but a failure to assign meaning to one’s sentences – I argue that his own verdicts of nonsensicality have their ultimate grounds in exactly the same sort of assessment, i.e. whether meaning has been assigned to a sentence. The rules of logical syntax, contrary to his own intentions, do no real work in determining whether a sentence is nonsensical or not. (shrink)

While anti-exceptionalism about logic is now a popular topic within the philosophy of logic, there’s still a lack of clarity over what the proposal amounts to. currently, it is most common to conceive of AEL as the proposal that logic is continuous with the sciences. Yet, as we show here, this conception of AEL is unhelpful due to both its lack of precision, and its distortion of the current debates. Rather, AEL is better understood as the rejection of certain traditional (...) properties of logic. The picture that results is not of one singular position, but rather a cluster of often connected positions with distinct motivations, understood in terms of their rejection of clusters of the various traditional properties. In order to show the fruitfulness of this new conception of AEL, we distinguish between two prominent versions of the position, metaphysical and epistemological AEL, and show how the two positions need not stand or fall together. (shrink)

The aim of this paper is to show that a corollary of resolute readings of Wittgenstein’s conception of nonsense cannot be sustained. First, I describe the corollary. Next, I point out the relevance to it of Wittgenstein’s discussion of family resemblance concepts. Then, I survey some typical uses of nonsense to see what they bring to an ordinary language treatment of the word “nonsense” and its relatives. I will subsequently consider the objection, on behalf of a resolute reading, that “nonsense” (...) is a term of philosophical criticism. Finally, I conclude that resolute readings have not sufficiently accounted for how nonsense behaves in our language; they have failed to heed Wittgenstein’s warning: “don’t think, but look!”. (shrink)

This paper challenges a standard interpretation according to which Frege’s conception of logic (early and late) is at odds with the contemporary one, because on the latter’s view logic is formal, while on Frege’s view it is not, given that logic’s subject matter is reality’s most general features. I argue that Frege – in Begriffsschrift – retained the idea that logic is formal; Frege sees logic as providing the ‘logical cement’ that ties up together the contentful concepts of specific sciences, (...) not the most general truths. Finally, I discuss how Frege conceives of the application of Begriffsschrift, and of its status as a ‘lingua characteristica’. (shrink)

Although the terms ‘poles’, ‘bipolar’, and ‘bipolarity’ do not appear in the Tractatus, it is widely held that Wittgenstein maintained his commitment to bipolarity in the Tractatus. As it is usually understood, the principle of bipolarity is that every proposition must be capable of being true and capable of being false, which rules out propositions that are necessarily true or necessarily false. Here I argue that Wittgenstein was committed to bipolarity in the Tractatus, but getting a clear view of this (...) commitment requires a different understanding of bipolarity. Properly understood, bipolarity is the view that every proposition represents two possible states of affairs, one positive and the other negative. Of course, in the case of elementary propositions, the sense of a proposition is only the positive state of affairs. There is thus an asymmetry between what a proposition represents, its true-false poles, and what it says, its sense. In this paper I show how Wittgenstein accounted for this asymmetry in Notes on Logic and I consider two ways he might have accounted for it in the Tractatus. (shrink)

According to Carnap an account of the nature of mathematics, both pure and applied, must include the thesis that mathematical truths are devoid of factual content. He first formulated this thesis around 1930 and in its defence attempted to combine the reduction of mathematics to logic undertaken in the Principia with Wittgenstein’s insights into the nature of logic. In this paper I will show that this synthesis faces serious difficulties. Thus, it plays, with good reason, no longer a role in (...) Carnap’s mature philosophy of mathematics. (shrink)

The main question addressed by this article is this: How should one understand the role of the sentences of the Tractatus, given Wittgenstein’s statement that they are nonsensical? I begin with a presentation of three general principles of interpretation in order to avoid answering the question in an inappropriate way. I then move on to a short presentation and commentary on a selection of readings – namely, the ineffabilist, resolute and elucidatory ones – and elaborate the answers given by advocates (...) of these to the question explored here. I agree on many points with resolute and elucidatory readings: the Tractatus presents an austere conception of nonsense, and is not a book that seeks to present ontological or semantic theories. I point out, however, that these readings cannot fully explain the nature of Tractarian elucidations. Then I discuss those parts of the Tractatus which refer to the sentences of the book itself. The main proposal of my own approach is this: Tractarian elucidations should be construed as rules of translation, in that they show how to substitute certain expressions for others. They enable us to construct a notation in which everything that is expressible in ordinary language can be said perspicuously. (shrink)

In this paper, I try to answer the following questions: what are objects in Wittgenstein’s Tractatus Logico-Philosophicus? What function does a name perform in a sentence according to Wittgenstein? What is the Bedeutung of a name? I argue that answers to these questions come from the Wittgensteinian vision of logic. The first part of the article concerns Frege and Russell’s universalist conception of logic, which is the main object of Wittgenstein’s attack. The second part of the article is about Wittgenstein’s (...) conception of logic and some consequences of this conception for the interpretation of Tractatarian objects and names. My main result is that the meaning of a name should be understood as a truth-value potential of an expression. The last part concerns the connections between the so-called ontological parts of the Tractatus and Wittgenstein’s views on an ideal formal language. (shrink)

Proposition 5.122 of Wittgenstein’s Tractatus has been the source of much puzzlement among interpreters, so much so that no fully satisfactory account is yet available. This is unfortunate, if only because the containment account of logical consequence has a venerable tradition behind it. Pasquale Frascolla’s interpretation of proposition 5.122 is based on a valid argument and one true premise. However, the argument explains sense containment only in an indirect way, leaving some crucial questions unanswered. Besides, Frascolla does not address the (...) issue of how to make sense containment notationally perspicuous, an essential theme in Wittgenstein’s reflections. In this paper, we elaborate on Frascolla’s account by looking at the issue through the Tractarian notion of logical space. Our analysis shows that, for containment to be fully appreciated, one should adopt a negative perspective on the notion of sense, in line with the exclusionary theory of conceptual content, as labelled by Ian Rumfitt. Besides this, we introduce and discuss two methods—one envisaged by Wittgenstein himself—for making sense containment notationally perspicuous. (shrink)

Ludwig Wittgenstein once wrote to G.E. Moore that he had stirred up a philosophical wasps’ nest with his paradox, associated with the sentence “I believe it’s raining and it’s not raining”. The problem is that it would be odd for a speaker to assert this thought about herself, although it could be true about her, and although the sentence is well-formed and not contradictory. -/- Making use of the notion of a sentence having sense in a context of significant use (...) (inspired by Ludwig Wittgenstein), the author explores the responses of some of the “wasps” who responded to the paradox, and the background of their reactions. -/- By using the metaphor of philosophizing from within language rather than outside of language the author explores what she calls “the user perspective” on philosophical problems. In this investigation, Moore’s paradox functions as a test case, by which the author elucidates differences in view of the role and powers of philosophical terminology. -/- The contribution of this work is meta-philosophical in being concerned with philosophical method. Its point of departure is in the therapeutic strand of the tradition after the later Wittgenstein. (shrink)

This paper investigates Wittgenstein's "notorious" criticism of Russell's theory of judgment. Instead of advancing a further new interpretation of it, though, I analyze and discuss some of the most promising readings of the Russell/Wittgenstein dispute put forward in the secondary literature; I aim to show that, despite their alleged reciprocal opposition, they cohere with each other because they are, at bottom, different ways of highlighting the same question. I then connect Wittgenstein's criticism of Russell to the account of the nature (...) of the proposition presented in the Tractatus, arguing that the latter can be seen as a natural development of the former. Finally, I make a quick connection between Wittgenstein's criticism of Russell and the conception of the world as the totality of facts, as presented in the Tractatus. (shrink)

This short note takes another look at the ideas proposed by the ‘New Wittgen steinians’, focusing on a feature of the discussion these ideas have generated that hitherto seems to have received comparatively little attention, viz., certain assumptions about the conception of philosophy as an intellectual enterprise, including its relation to the sciences, that seem to be adopted by both the New Wittgensteinians and (many of) their critics.

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)

There are historically three main trends in understanding Wittgenstein's Tractatus. The first is the interpretation offered by the Vienna Circle. They read Wittgenstein as arguing that neither metaphysical nor normative propositions have any cognitive meaning, and thus are to be considered nonsense. This interpretation understands Wittgenstein as setting the limits of sense, and prescribing that nothing of substantive philosophical importance lies beyond that line. The second way of reading the Tractatus, which has became popular since the 1950s, is the interpretation (...) which most currently accept as the early Wittgenstein's view; for this reason I refer to it as the 'standard reading.' According to this interpretation, Wittgenstein did not consider metaphysical and ethical discourse as nonsense. Rather, relying upon the distinction between saying [sagen] and showing [zeigen], he meant that these truths cannot be uttered, but instead are only shown. The standard reading can perhaps be best understood in contrast with the third interpretation, dubbed the "resolute reading." The resolute reading takes seriously Wittgenstein's remark at 6.54 that "[m]y propositions are elucidatory in this way: he who understands me finally recognizes them as nonsense [unsinnig]." According to the resolute interpretation, Wittgenstein is not advancing a series of philosophical theses in the Tractatus. Rejecting the distinction characteristic of standard readings, between propositions without sense [sinnlos] and just plain nonsense [unsinnig], these interpreters read Wittgenstein as treating ethical and metaphysical inquiry, as well as a bulk of the doctrines in the text, as nonsense. To them, Wittgenstein did not intend to put forth any theses in the the text. Instead his methodology is therapeutic, similar to the later philosophy. It In this essay I explain each interpretation, and evaluate them in terms of textual and philosophical viability. I conclude by arguing that the biases which exist in the tradition of analytic philosophy substantively temper the interpretation of historical texts, which ultimately leads to the fundamental distinction between these three interpretations. (shrink)

Abstract: Interpretations of the Tractatus divide into what might be called a metaphysical and an anti-metaphysical approach to the work. The central issue between the two interpretative approaches has generally been characterised in terms of the question whether the Tractatus is committed to the idea of ‘things’ that cannot be said in language, and thus to the idea of a distinctive kind of nonsense: nonsense that is an attempt to say what can only be shown. In this paper, I look (...) at this dispute from a different perspective, by focusing on the treatment of the concept of internal relations. By reference to the work of Peter Hacker, Hidé Ishiguro and Cora Diamond, I show how this concept is understood quite differently in each of the two interpretative traditions. I focus particularly on how Wittgenstein's idea of the ‘internal relation of depicting that holds between language and the world’ (Tractatus 4.014) might be understood within the two interpretative approaches. I offer some reasons in support of the anti-metaphysical treatment of the concept. (shrink)

This study aims to propose a rational reconstruction of the theory-core ofWittgenstein's Tractatus, in order to bring into prominence its theoreticaland philosophical sources, its epistemological nature and metaphysical significance.The main idea of my approach is that when we take due account of the scientific andphilosophical context of the Tractatus, we see that its central philosophicalinnovation is a new form of metaphysics, namely a structural theory of representation.``I am not interested in constructing a building,so much as in having a perspicuous view (...) of the foundation of possible buildings.''. (shrink)

There are currently two readings of Tractatus, the metaphysical and the therapeutic. I argue that neither of these is satisfactory. I develop a third reading, the elucidatory reading. This shares the therapeutic interpretation’s emphasis on the idea that Wittgenstein’s remarks are intended to work on the reader, but instead of seeing these remarks as directed (problematically) at revealing their own nonsensical status, I take the remarks to be aimed at bringing a certain order to the reader’s perception of language. The (...) point of this order, and the only test of it, is that it enables the philosophical problems to disappear. In particular, it dispels philosophical puzzlement concerning the status of logic, the relation between language and the world, and the relation between thought and language. (shrink)

In this article I present a summary of Bertrand Russell's protracted attempts to solve the problem of the unity of the proposition, and explain the significance of the problem for Russell's philosophy. Unlike many other accounts which take the problem to be confined to Russell's early theories of propositional content, I argue that the problem (or variants of it) is a recurring theme throughout the whole of Russell's career.

While Wittgenstein examines the relationship between language and the world in the Tractatus, he establishes a paradox which cancels out the possibility of the work being either true or nonsense. The crucial question arises as to whether this paradox succeeds in undermining the whole work or whether the work continues to function in some way in spite of it. In this article, I explain why previous interpretations aiming to resolve the tractarian paradox have failed, for instance the “traditional view” and (...) the “resolute reading view”. My purpose is to propose a third interpretation, which I believe constitutes a possible resolution of the tractarian paradox, since, through this, the role of the paradox is clarified, namely to create space for mysticism. (shrink)

In this paper I describe the birth of Russell’s notion of a propositional function on 3 May 1902 and its immediate context and implications. In particular, I consider its significance in relation to the development of his views on analysis.

I aim to present a solution to the apparent paradox of the Tractatus by means of a minimalist reading grounded in the idea that the correct logical symbolism alone “finally solves” in essentials the philosophical problems. I argue that although the sentences of the Tractatus are nonsensical, rules presented in its symbolism are not. The symbolism itself expresses only a priori rules of logic through schematic variables that do not say anything. I argue that this reading correctly expresses the ladder (...) structure of the book, and that it can account for Wittgenstein's critique of the Tractatus in Some Remarks on Logical Form. (shrink)

RESUMEN En este artículo trato de establecer que, según el Tractatus, la posibilidad de pensar que el espacio lógico fuera vacío es equivalente a la posibilidad de pensar que el mundo no hubiera existido. Tal representación viene dada por la última línea de una tabla de verdad que es una descripción completa del espacio lógico: es la línea en la que todas las proposiciones elementales son falsas. En primer lugar, argumentaré que una proposición elemental sería falsa -más que no tener (...) un valor de verdad- si fuera evaluada con respecto a un mundo posible en el que alguno de los objetos nombrados en esa proposición no existe. A continuación, tendré que mostrar que es posible que los objetos tractarianos no hubieran existido para poder concluir que es posible pensar que los objetos tractarianos no hubieran existido. Por último, estoy obligado a ofrecer una nueva interpretación del pasaje sobre la substancia.ABSTRACT In this paper I intend to establish that, according to the Tractatus, the possibility of thinking that the logical space were empty is equivalent to the possibility of thinking that the world had not existed. Such a representation is given by the bottom line of a truth-table which is a complete description of logical space: it is the line where all elementary propositions are false. Firstly, I will argue that an elementary proposition would be false -rather than lacking a truth-value- if it were evaluated with respect to a possible world in which some named object in that proposition does not exist. Then I will have to show that it is possible that the tractarian objects had not existed in order to conclude that it is possible to think that the tractarian objects had not existed. Finally, I am bound to offer a new interpretation of the substance passage. (shrink)

After more than a century of its development, philosophers working in the analytic tradition have recently begun to consider its history as an object of philosophical investigation.1 This development, particularly significant in the context of a tradition of inquiry that has often conceived of its own problems as ahistorical, is salutary in that it offers to show what, within the tradition, remains rich and vital for philosophy today, as well as to extract the significant theoretical and doctrinal results that can (...) be considered to have been achieved in its itinerary so far. The appearance of a comprehensive, two-volume consideration of the history of analytic philosophy in the twentieth century, written by one of the tradition’s leading contemporary practitioners, is therefore cause for excitement. And Scott Soames’ two-volume Philosophical Analysis in the Twentieth Century is, by any measure, an impressive work. Running to almost 900 pages, it assembles careful, meticulous and detailed expositions and analyses of the arguments and positions of a wide variety of thinkers within the analytic tradition, evaluating the extent of their insight and suggesting implications for philosophical thought today. The analysis is uniformly lucid and clearly written, offering the student of the analytic tradition an indispensable source of arguments she may want to consider in her own work, as well as, in its own argumentation, a suggestive model of at least one way of doing analytic philosophy. Over the course of his reconstructive and evaluative analysis, Soames considers the views and arguments of early analytic philosophers like Russell and Moore, logical positivists like Ayer and.. (shrink)

This paper focuses on a central aspect of the “picture theory” in the Tractatus – the “identity requirement” – namely the idea that a proposition represents elements in reality as combined in the same way as its elements are combined. After introducing the Tractatus' views on the nature of the proposition, I engage with a “nominalist” interpretation, according to which the Tractatus holds that relations are not named in propositions. I claim that the nominalist account can only be maintained by (...) rejecting the “identity requirement.” I then consider an opposite – “realist” – interpretation, according to which Tractarian names include names of properties and relations. I argue that, although it can accommodate the “identity requirement,” the realist interpretation falls short of providing a correct interpretation of the Tractatus' conception of a name. I conclude by presenting an alternative account (to both nominalism and realism) of the Tractatus' conception of a name. (shrink)

This paper traces missing links in the history of economic thought. In outlining Hume's concept of 'the reflexive mind' it shows that this opened frontiers between philosophy and psychology which Bertrand Russell denied and which logical positivism in philosophy and positive economics displaced. It relates this to Hume's influence not only on Smith, but also on Schopenhauer and the later Wittgenstein, with parallels in Gestalt psychology and recent findings from neural research and cognitive psychology. It critiques Kant's reaction to Hume's (...) claim that one may assume but cannot prove cause and effect and how Samuelson's Foundations of Economic Analysis has been Kantian but wrong in claims for axioms that are universal truths. It illustrates how Samuelson's presumption that language and mathematics are 'identical' was as mistaken as the logical atomism of Russell and the early Wittgenstein, relates this to Kleinian splitting, denial and projective identification and suggests that recovery of greater realism in economics needs to regain links with such philosophy and psychology. (shrink)

It has been much debated whether Tractarian objects are what Russell would have called particulars or whether they include also properties and relations. This paper claims that the debate is misguided: there is no logical category such that Wittgenstein intended the reader of the Tractatus to understand his objects either as providing examples of or as not providing examples of that category. This is not to say that Wittgenstein set himself against the very idea of a logical category: quite the (...) contrary. However, where Russell presents his logical variety of particulars and the various types of universal, and Frege presents his of objects and the various types of function, Wittgenstein denies the propriety of such a priori expositions. Wittgenstein envisages a variety of logical types of entity but insists that the nature of these types is something to be discovered only through analysis. (shrink)

This thesis focuses on 'New' or 'Resolute' readings of Wittgenstein's work, early and later, as presented in the work of, for instance, Cora Diamond and James Conant. One of the principal claims of such readings is that, throughout his life, Wittgenstein held an 'austere' view of nonsense. That view has both a trivial and a non-trivial aspect. The trivial aspect is that any string of signs could, by appropriate assignment, be given a meaning, and hence that, if such a string (...) is nonsense, that will be because we have failed to make just such an assignment. The non-trivial aspect is this: that there is no further, non-trivial story to be told, and so nonsense is only ever a matter of our failure to give signs a meaning. Hence, too, logically speaking, all nonsense is on a par. That view, both of nonsense and of Wittgenstein, has attracted a great deal of controversy. It is particularly controversial in relation to Wittgenstein's 'Tractatus', where Wittgenstein famously declares, in the penultimate remark, that the reader is to recognise Wittgenstein's own elucidatory propositions there as nonsensical, and must eventually throw them away in coming to understand Wittgenstein himself. I defend the austere view and its attribution to Wittgenstein, early and later (but focussing primarily on the earlier), against a number of exegetical and substantial criticisms put forward by, for instance, Peter Hacker, Hans-Johann Glock and Adrian Moore. (shrink)