In his highly perceptive, if underappreciated introduction to Wittgenstein’s Tractatus, Russell identifies a “lacuna” within Wittgenstein’s theory of number, relating specifically to the topic of transfinite number. The goal of this paper is two-fold. The first is to show that Russell’s concerns cannot be dismissed on the grounds that they are external to the Tractarian project, deriving, perhaps, from logicist ambitions harbored by Russell but not shared by Wittgenstein. The extensibility of Wittgenstein’s theory of number to the case of transfinite (...) cardinalities is, I shall argue, a desideratum generated by concerns intrinsic, and internal to Wittgenstein’s logical and semantic framework. Second, I aim to show that Wittgenstein’s theory of number as espoused in the Tractatus is consistent with Russell’s assessment, in that Wittgenstein meant to leave open the possibility that transfinite numbers could be generated within his system, but did not show explicitly how to construct them. To that end, I show how one could construct a transfinite number line using ingredients inherent in Wittgenstein’s system, and in accordance with his more general theories of number and of operations. (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)

Several authors claim that, according to Wittgenstein, ethics has no particular subject matter and that, consequently, there is and can be no such thing as meta-ethics. These authors argue that, for Wittgenstein, a sentence’s belonging to ethics is a classification by use rather than by subject matter and that ethics is a pervasive dimension of life rather than a distinguishable region or strand of it. In this article, I will critically examine the reasons and arguments given for these claims. In (...) my view, a Wittgensteinian perspective does not exclude the possibilities of doing meta-ethics and of there being a particular subject matter of moral philosophy. These alleged impossibilities are not the distinguishing marks of Wittgensteinian moral philosophy. What distinguishes Wittgensteinian moral philosophy from traditional moral philosophy is, rather, its emphasis on alternative ways of thinking about the subject matter of moral philosophy. (shrink)

This chapter outlines ways in which Wittgenstein’s opposition to scientism is manifest in his later conception of philosophy and the negative attitude he held toward his times. The chapter tries to make clear how these two areas of Wittgenstein’s thought are connected and reflect an anti-scientistic worldview he held, one intimated in Philosophical Investigations §122. -/- It is argued that the later Wittgenstein’s metaphilosophy is marked out against two scientistic claims in particular. First, the view that the scientific method is (...) superior to all other means of learning or gaining knowledge. Second, the view that scientific knowledge is superior to all other kinds of knowledge and understanding. Wittgenstein’s opposition to these claims is brought out through examining a fundamental aim of his later philosophy, producing the ‘kind of understanding which consists in “seeing connections”’ (PI §122), and his attempts to expose certain philosophical confusions. It is argued that these reflect his antiscientistic worldview. -/- Through discussion of Oswald Spengler’s influence on Wittgenstein, the chapter outlines how Wittgenstein’s opposition to scientism underwrites his negative cultural outlook and how this is connected with the anti-scientistic elements of his later philosophy discussed. The work of Ray Monk (1999; 1990) and Hans-Johann Glock (1996) is instrumental in what follows. (shrink)

Ben-Yami presents Wittgenstein’s explicit criticism of the Platonic identification of an explanation with a definition and the alternative forms of explanation he employed. He then discusses a few predecessors of Wittgenstein’s criticisms and the Fregean background against which he wrote. Next, the idea of family resemblance is introduced, and objections answered. Wittgenstein’s endorsement of vagueness and the indeterminacy of sense are presented, as well as the open texture of concepts. Common misunderstandings are addressed along the way. Wittgenstein’s ideas, as is (...) then shown, have far-reaching implications for knowledge of meaning and the nature of logic, and with them to the nature of the philosophical project and its possible achievements. (shrink)

One of the unconventional features of Wittgenstein’s _Tractatus Logico-Philosophicus_ is its use of an elaborated and detailed numbering system. Recently, Bazzocchi, Hacker und Kuusela have argued that the numbering system means that the _Tractatus_ must be read and interpreted not as a sequentially ordered book, but as a text with a two-dimensional, tree-like structure. Apart from being able to explain how the _Tractatus_ was composed, the tree reading allegedly solves exegetical issues both on the local and the global level. This (...) paper defends the sequential reading against the tree reading. After presenting the challenges generated by the numbering system and the two accounts as attempts to solve them, it is argued that Wittgenstein’s own explanation of the numbering system, anaphoric references within the _Tractatus_ and the exegetical issues mentioned above do not favour the tree reading, but a version of the sequential reading. This reading maintains that the remarks of the _Tractatus_ form a sequential chain: The role of the numbers is to indicate how remarks on different levels are interconnected to form a concise, surveyable and unified whole. (shrink)

There has been much debate over whether to accept the claim that meaning is normative. One obstacle to making progress in that debate is that it is not always clear what the claim amounts to. In this paper, I try to resolve a dispute between those who advance the claim concerning how it should be understood. More specifically, I critically examine two competing conceptions of the normativity of meaning, rejecting one and defending the other. Though the paper aims to settle (...) a dispute among proponents of the claim that meaning is normative, it should be of interest to those who challenge it. After all, before one takes aim, one’s target needs to be in clear view. (shrink)

In the so-called private language argument, Wittgenstein argues both against the alleged epistemological privacy of sensations and against their alleged ontological privacy, that is, the common view that somebody else cannot have my pain. A prominent proponent of the claim of sensations' ontological privacy was Gottlob Frege, whose position has recently been defended by Wolfgang Künne. This paper reconsiders Wittgenstein's objections to ontological privacy and attempts to defend Wittgenstein's position against Künne's Frege-inspired arguments.

The later Wittgenstein advanced a revolutionary but puzzling conception of how philosophy ought to be practised: Philosophical problems are not to be coped with by establishing substantive claims or devising explanations or theories. Instead, philosophical questions ought to be treated ‘like an illness’. Even though this ‘non-cognitivism’ about philosophy has become a focus of debate, the specifically ‘therapeutic’ aims and ‘non-theoretical’ methods constitutive of it remain ill understood. They are motivated by Wittgenstein’s view that the problems he addresses result from (...) misinterpretation, driven by ‘urges to misunderstand’. The present paper clarifies this neglected concept and analyses how such ‘urges’ give rise to pseudo-problems of one particular, hitherto little understood, kind. This will reveal ‘therapeutic’ aims reasonable and ‘non-theoretical’ methods necessary, in one clearly delineated and important part of philosophy. I.e.: By developing a novel account of nature and genesis of one important class of philosophical problems, the paper explains and vindicates a revolutionary reorientation of philosophical work, at the level of both aims and methods. (shrink)

In this paper I offer a genetic account of how Wittgenstein developed his ideas on aesthetics in his 1933 lectures. He argued that the word ‘beautiful’ is neither the name of a particular perceptible quality, nor the name of whatever produces a certain psychological effect, and unlike ‘good’, it does not stand for a family-resemblance concept either. Rather, the word ‘beautiful’ has different meanings in different contexts as we apply it according to different criteria. However, in more advanced regions of (...) aesthetics the word ‘beautiful’ ceases to play an important role. Instead, we judge things to be more or less correct according to genre-specific standards or criteria, which in an aesthetic discussion are presupposed, rather than argued for. Finally, Wittgenstein came to realise that providing support for an aesthetic appraisal according to some given criteria is not the only and perhaps not even the main focus of aesthetic discussion. More interesting to him became the idea of a puzzle or perplexity in aesthetics, which he discussed in greater detail in his 1938 lectures. (shrink)

A lack of consensus persists as to whom exactly the dialogues of Wittgenstein's Philosophical Investigations are between: Wittgenstein and an interlocutor? Or perhaps a variety of interlocutors, none of whom can be identified with Wittgenstein himself? I argue here that this lack of consensus is possibly due to an ambiguity in the ordinary concept of “talking to oneself,” and that a new concept of “talking to oneself” appropriate to Wittgenstein's dialogues is needed to properly understand them. Wittgenstein is talking to (...) himself—but he is doing so in the way we talk to other people. (shrink)

For several decades, Stephen Priest has championed a picture of the mind or soul as a private, phenomenological space, knowable by introspection and logically independent of behaviour. Something resembling this picture once dominated Western philosophy, but it suffered a severe setback in the mid-twentieth century as a result of Wittgenstein’s ‘private language argument’. While Priest has written about the threat posed by Wittgenstein’s argument to the picture of the mind that he favours, he has not explained how advocates of that (...) picture should respond to Wittgenstein. The present essay takes up this challenge, defending the picture of the mind as a private phenomenological space against four lines of argument drawn from Wittgenstein’s Philosophical Investigations § 243-315. (shrink)

Philosophical Investigations, Volume 45, Issue 2, Page 107-129, April 2022.

In this paper I offer a novel interpretation of Wittgenstein's claim that ‘ethics is transcendental’. Initially, I set out to offer said interpretation by resorting to both Wittgenstein's understanding of ethics and his understanding of the transcendentality of logic—which entails taking Wittgenstein as endorsing a Kantian understanding of the notion ‘transcendental’. This leads to the claim that ethics is transcendental insofar as it is the condition of a certain ethical experience. Nevertheless, this interpretation involves some inadequacies due to certain incompatibilities (...) between the Tractatus Logico-Philosophicus and the aforementioned Kantian understanding of the notion ‘transcendental’. I identify the peculiarities of Wittgenstein's understanding of the notion ‘transcendental’, and on this basis, I set forth a novel interpretation of 6.421. Specifically, I argue that ethics is transcendental insofar as it is internal to or constitutive of a certain mystical view: viewing the world sub specie aeterni as something valuable. (shrink)

Customary interpretations state that Tractarian thoughts are pictures, and, a fortiori, facts. I argue that important difficulties are unavoidable if we assume this standard view, and I propose a reading of the concept taking advantage of an analogy that Wittgenstein introduces, namely, the analogy between thoughts and projective geometry. I claim that thoughts should be understood neither as pictures nor as facts, but as acts of geometric projection in logical space. The interpretation I propose thus removes the root of the (...) identified difficulties. Moreover, it allows important clarification concerning some central aspects of the Tractarian theory of representation, and it yields a unifying elucidation regarding Wittgenstein’s remarks on the solipsistic thesis. (shrink)

The Transcendental Reading of the Tractatus argues that Wittgenstein endorses, under the notion of ‘metaphysical subject’, the existence of a willing subject as a transcendental condition of ethics and representation. Tejedor aims to reject this reading resorting to three criticisms. The notion of ‘willing subject’ does not appear explicitly in, nor can it be deduced from, the Tractatus, the metaphysical subject and the willing subject are not synonymous or analogous notions and, finally, Wittgenstein abandons the notion of ‘willing subject’ at (...) the end of the Notebooks. The aim of this article is twofold. Firstly, it analyzes the critique introduced by Tejedor and presents three problems that demonstrate that Tejedor’s critique cannot adequately reject the Transcendental Reading. Secondly, it sets forth an alternative reading of the Tractatus that overcomes the issues that stem from the Transcendental Reading. This alternative reading conceives the metaphysical subject as an ethical subject and a willing subject. Additionally, it advances an alternative account of the transcendental character of ethics that does not defend the existence of a transcendental subject understood as a condition of ethics and representation in the Tractatus. (shrink)

In the so‐called private language argument, Wittgenstein argues both against the alleged epistemological privacy of sensations and against their alleged ontological privacy, that is, the common view that somebody else cannot have my pain. A prominent proponent of the claim of sensations' ontological privacy was Gottlob Frege, whose position has recently been defended by Wolfgang Künne. This paper reconsiders Wittgenstein's objections to ontological privacy and attempts to defend Wittgenstein's position against Künne's Frege‐inspired arguments.

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)

In the Tractatus Wittgenstein argued that there are metaphysical truths. But these are ineffable, for metaphysical sentences try to say what can only be shown. Accordingly, they are pseudo-propositions because they are ill-formed. In the Investigations he no longer thought that metaphysical propositions are pseudo-propositions, but argued that they are either nonsense or norms of descriptions. Popper criticized Wittgenstein’s ideas and argued that metaphysical truths are effable. Yet it is by now clear that he misunderstood Wittgenstein’s arguments and misguidedly thought (...) that Wittgenstein used the principle of verification for distinguishing empirical propositions from metaphysical propositions. Because Popper developed his philosophy in part as a critique of Wittgenstein’s philosophy, this invites the question of whether these misunderstandings have consequences for his own philosophy. I discuss this question and argue that Popper’s attempt to distinguish metaphysics and science with the aid of a criterion of testability is from Wittgenstein’s perspective misguided. The main problem facing Popper’s philosophy is that alleged metaphysical propositions are not theoretical propositions but rules for descriptions. If Wittgenstein’s ideas are correct, then metaphysical problems are not scientific but grammatical problems which can only be resolved through conceptual investigations. (shrink)

In a recent article, John McDowell has criticised Warren Goldfarb for attributing an anti-realist conception of linguistic understanding to Wittgenstein. 1 I argue that McDowell is right to reject Goldfarb's anti- realism, but does so for the wrong reasons. I show that both Goldfarb's and McDowell's interpretations are vitiated by the fact that they do not pay attention to Wittgenstein's positive claims about understanding, in particular his claim that understanding is a kind of ability. The cause of this oversight lies (...) in their endorsement of an excessively anti-systematic or “therapeutic” reading of Wittgenstein. (shrink)

The present work aims at providing an evaluation of musical formalism, as it was intended by Eduard Hanslick in his treatise On the Musically Beautiful, in the light of Ludwig Wittgenstein's remarks on aesthetics and music. After a short historical introduction concerning the origins of the concept of absolute music within the framework of Romantic aesthetics and the writings of authors such as Wilhelm Heinrich Wackenroder, E. T. A. Hoffmann and Arthur Schopenhauer, I suggest a definition of formalism on the (...) basis of Hanslick's account of music. I compare, then, Hanslick's view on music with Wittgenstein's reflections on music and aesthetics, referring to both Wittgenstein's early philosophy – especially to the Tractatus Logico-Philosophicus – and to the later writings – namely to the Philosophical Investigations and the Lectures on Aesthetics. The outcome of the comparison between Hanslick's and Wittgenstein's views on music leads the discussion to an evaluation of the plausibility of the dichotomy between formalism and anti-formalism, and to a reflection on the objects, aims and methods of aesthetics. (shrink)

I defend a new interpretation of Wittgenstein's notion of religious attitude in the Tractatus , one that rejects three key views from the secondary literature: firstly, the view that, for Wittgenstein, the willing subject is a transcendental condition for the religious attitude; secondly, the view that the religious attitude is an emotive response to the world or something closely modelled on this notion of emotive response; and thirdly, the view that, although the religious and ethical pseudo-propositions of the Tractatus are (...) nonsensical, they nevertheless succeed in expressing the religious attitude endorsed by Wittgenstein. In connection to the first, I argue that the notion of willing subject as transcendental condition is abandoned by Wittgenstein in the Notebooks and is no longer a feature of his position in the Tractatus . In connection to the second, I argue that the religious attitude is dispositional rather than emotive for Wittgenstein: it is a disposition to use signs in a way that demonstrates one's conceptual clarity. Finally, in connection to the third, I argue that the religious or ethical attitude is strongly ineffable in that it cannot be described, expressed or conveyed by language at all. (shrink)

Kalhat has forcefully criticised Wittgenstein's linguistic or conventionalist account of logical necessity, drawing partly on Waismann and Quine. I defend conventionalism against the charge that it cannot do justice to the truth of necessary propositions, renders them unacceptably arbitrary or reduces them to metalingustic statements. At the same time, I try to reconcile Wittgenstein's claim that necessary propositions are constitutive of meaning with the logical positivists’ claim that they are true by virtue of meaning. Explaining necessary propositions by reference to (...) linguistic conventions does not reduce modal to non‐modal notions, but it avoids metaphysical accounts, which are incapable of explaining how we can have a priori knowledge of necessity. (shrink)

This thesis seeks to demonstrate the continuing relevance of Wittgenstein’s approach to the problem of freedom of the will, primarily as expounded in his “Lectures on Freedom of the Will”. My overall aim is to show how Wittgenstein works to reconfigure the debates about freedom of the will so that it can be confronted as the kind of problem he thinks it ultimately is: an ethical and existential problem. Not published until 1989, the LFW have received scant critical attention. I (...) argue that Wittgenstein’s approach is highly distinctive in a way that makes it significantly less vulnerable than its closest cousins to certain powerful lines of critical attack. Chapter One brings out the distinctiveness of the LFW, especially vis-à-vis a putatively Wittgensteinian form of compatibilism, exemplified by Kai Nielsen. Albeit in different ways, Wittgenstein and Nielsen are both concerned to show why being caused to act, e.g. by the laws of nature, does not equate to being compelled to act, e.g. against one’s will. Unlike Nielsen, however, Wittgenstein further recognises that showing the compatibility of freedom and natural laws establishes no more than the logical consistency of holding people responsible, given determinism, and so cannot itself constitute a defence of our practices. Chapter Two introduces, as a still closer comparison with Wittgenstein, P. F. Strawson’s practice-based defence of interpersonal, ‘reactive’ attitudes. I argue that the same correlation between a belief in freedom of the will and the primitive expression of ‘reactive’ attitudes/feelings is central also to the LFW. However, I further argue that certain major lines of criticism of Strawson’s practice-based defence of our current practices, familiar in the critical literature, do not in the same way threaten Wittgenstein’s defence of a broader practice-based approach, one that encompasses both reactive and non-reactive attitudes. Chapters Three and Four deal with the difficulties arising from the recognition that our most entrenched and ‘natural’ attitudes are non-reactive rather than reactive, including attitudes that are properly called ‘fatalistic’. Chapter Three develops a response to Galen Strawson’s criticism that if reactive and non-reactive attitudes are both equally expressive of human nature, then any merely descriptive approach to these attitudes will be incapable of resolving the fundamental question of which of these sorts of attitude we ought to adopt. Finally, Chapter Four examines Wittgenstein’s sustained interest in forms of life, especially religious forms of life, which appear to give equal weight to both reactive and non-reactive attitudes. (shrink)

This work is an investigation into the analytical debate on pictorial representation and the theory of pictorial art. My main concern are a critical exposition of the questions raised by the idea that it is resemblance to depicted objects that explains pictorial representation and the investigation of the phenomenon of abstract painting from an analytical point of view in relation to the debate on depiction. The first part is dedicated to a survey of the analytical debate on depiction, with special (...) attention to the fortunes and misfortunes of the resemblance theory of depiction. In the first chapter I give an outline of the main contemporary theories on offer, contextualised within an historical background that stretches from Plato to Descartes. I have decided to focus on the theory of resemblance more than on other approaches on depiction, because much of my research is dedicated to an analysis and implementation of one of the theories that have recently sought to re-discover the resemblance paradigm, although with certain important modifications. Namely, the second chapter is dedicated to the exposition of John Hyman’s basic resemblance theory of depiction, to the elucidation of its presuppositions and to the discussion of some criticisms and objections that the theory has raised. The third and the fourth chapter are dedicated to the implementation of Hyman’s theory in relation to the phenomenon of abstract painting. There are two peculiarities about Hyman’s theory: first, it is in counter-tendency in comparison with all the other accounts of depiction on offer, in that it does not need to conceive of pictorial representation as of representation of particulars or kinds of objects that we can easily identify. Second, it is a theory that gives art a prominent role: Hyman illustrates his claims with many examples taken from the history of figurative art. The second part of my work is inspired by the idea that the basic resemblance theory can be applied to abstract paintings as well. Developing an analysis of abstract painting from an analytical point of view is a task that very few authors have tried to accomplish so far – as far as I am aware. However, it is evident that the task abstract painters have set themselves is interestingly akin to the task philosophers try to accomplish when arguing about depiction. It is widely agreed that one of the main topics of contemporary art is art itself and that one of the main topics of abstract painting is the art of painting itself, the art of producing pictures, the exploration of its limits and its conventions. With these considerations in mind, I have sought to sketch my proposal for a basic resemblance theory of abstract painting, critically engaging with philosophers such as Richard Wollheim, Kendall Walton, Lambert Wiesing and with art-critics and historians such as Clement Greenberg and Ernst Gombrich. (shrink)

According to Wittgenstein, mathematical propositions are rules of grammar, that is, conventions, or implications of conventions. So his position can be regarded as a form of conventionalism. However, mathematical conventionalism is widely thought to be untenable due to objections presented by Quine, Dummett and Crispin Wright. It has also been argued that only an implausibly radical form of conventionalism could withstand the critical implications of Wittgenstein’s rule-following considerations. In this article I discuss those objections to conventionalism and argue that none (...) of them is convincing. (shrink)

Conventionally, it is true an essay has a structure that moves progressively and logically from a beginning to a conclusion. In this group of small essays, I would like to explore my interests in the arts and education by working more with broad strokes, letting meanings emerge from passages in a less linear way, more like a collage, for example. Perhaps such an approach will be congenial for the arts, which are elusive, felt and expressive as much as conceptual.