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)

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

One of the main challenges faced by Russell's theory of judgement was to provide a satisfactory account of judgement that was not committed to the existence of true, false, or non-existent complex entities such as Meinongian objectives. In the study of the Russell-Wittgenstein debate on that theory, scholars never considered the idea that Wittgenstein might not have followed Russell on that issue. In this article. I address that question and hold, first, that problems raised by Russell's theory of judgement find (...) their solution in the picture theory. Then, I show that Wittgenstein hesitated for a long period of time in theNotebooksbetween a version of his solution which is committed to the existence of possible (non-existing) complex entities and one which is not. Finally, I argue that he did, along with Meinong, go for a committing version in theTractatus. (shrink)

Modern physics has provided a range of motivations for holding time to be fundamentally undirected. But how does a temporally adirectional metaphysics, or ‘C-theory’ of time, fit with the time of experience? In this chapter, I look at what kind of problem human time poses for C-theories. First, I ask whether there is a ‘hard problem’ of human time: whether it is in principle impossible to have the kinds of experience we do in a temporally adirectional world. Second I consider (...) the ‘easy problem’: how specific directed aspects of our temporal experience are to be explained by C-theorists. This leads to a greater issue: is there such a thing as an experience of time direction at all to even be explained? I show how the kinds of experience we have that we typically associate with the idea of time being directed can be accommodated within a directionless picture of time. (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)

This compelling reevaluation of the relationship between logic and knowledge affirms the key role that the notion of judgement must play in such a review. The commentary repatriates the concept of judgement in the discussion, banished in recent times by the logical positivism of Wittgenstein, Hilbert and Schlick, and the Platonism of Bolzano. The volume commences with the insights of Swedish philosopher Per Martin-Löf, the father of constructive type theory, for whom logic is a demonstrative science in which judgement is (...) a settled feature of the landscape. His paper opens the first of four sections that examine, in turn, historical philosophical assessments of judgement and reason; their place in early modern philosophy; the notion of judgement and logical theory in Wolff, Kant and Neo-Kantians like Windelband; their development in the Husserlian phenomenological paradigm; and the work of Bolzano, Russell and Frege. The papers, whose authors include Per Martin-Löf, Göran Sundholm, Michael Della Rocca and Robin Rollinger, represent a finely judged editorial selection highlighting work on philosophers exercised by the question of whether or not an epistemic notion of judgement has a role to play in logic. The volume will be of profound interest to students and academicians for its application of historical developments in philosophy to the solution of vexatious contemporary issues in the foundation of logic. ​. (shrink)

'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. (...) Moreover, it provides possible gateways from modern deadlocks of theory either through approaches to consciousness or through historical critique of intellectual authorities. This work will be of interest to those either researching or studying in colleges and universities, especially in the departments of philosophy, history of science, philosophy of science, philosophy of physics and quantum mechanics, history of ideas and culture. Greek and Latin Literature students and instructors may also find this book to be both a fascinating and valuable point of reference. (shrink)

This book attempts to explicate and expand upon Frank Ramsey's notion of the realistic spirit. In so doing, it provides a systematic reading of his work, and demonstrates the extent of Ramsey's genius as evinced by both his responses to the Tractatus Logico-Philosophicus , and the impact he had on Wittgenstein's later philosophical insights.

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.

Wittgenstein Tractatus'ta anlamlı bir tümcenin işlevinin bir şey durumunu öne sürmek olduğunu belirtir ve böyle yapmayan bütün tümceleri anlam alanının dışına bırakır. Buna karşılık anlam alanının dışında kalan tümceler işlevsiz değildirler; onlar bir şeyleri gösterebilirler. Bu söylemek/göstermek ayrımı Tractatus için temel önemde olsa da ayrımın göstermek ile ilgili kısmını Wittgenstein yeterince açıklamaz. Bu yazıda bu kavramın özellikle de etik ve estetik söz konusu olduğunda bir bakış açısını göstermek olarak anlaşılabileceğini öne süreceğim. Algı çalışmalarında yaygın bir kavram olan bakış açısı, dilbilim (...) alanına özellikle metafor konusundaki çalışmalarla taşınmıştır. Bir metaforun belirli bir bakış açısı etkisi yaptığı sıklıkla söylenir. Wittgenstein'ın "göstermek" derken anlatmak istediği bir bakış açısı kazandırmak olarak yorumlanabilir. -/- In Tractatus, Wittgenstein states that the function of a meaningful sentence is to assert a state of affairs and excludes all sentences that do not do so from the realm of meaning. Sentences outside the realm of meaning, however, are not useless; they can show something. Although this saying/showing distinction is of fundamental importance for Tractatus, Wittgenstein does not clearly explain the part of the distinction related to showing. In this paper I will argue that this notion can be understood, especially in the case of ethics and aesthetics, as showing an aspect. Aspect, which is a widely used notion in perception studies, has been carried to the field of linguistics, especially with studies on metaphor. It is often said that a metaphor makes an aspectual effect. What Wittgenstein meant by "showing" can be interpreted as making someone recognise an aspect. (shrink)

I argue that Ludwig Wittgenstein’s idea of the metaphysical subject sheds new light on subjective qualities of experience. In this article I draw first of all on the interpretations provided by Michael Kremer and James Conant. Subsequently, I conclude that “what is it like” means primarily “what is it like to see myself as the metaphysical subject”.

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)

Verificationism has had a bad press for many years. The view that the meaning of our words is bound up with the discernible difference it would make if what we say, think or write were true or false, nowadays is scorned as “positivist” though it was shared by eminent empiricists and pragmatists. This paper seeks to sort through some of the complexities of what is often portrayed as an unduly simplistic conception. I begin with an overview of its main logical (...) empiricist varieties before considering which aspects of it fall victim to which of the three major types of objection that have been raised against it. I will conclude that what is left standing is a modest proposal that seems worth further investigation. (shrink)

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

[A. W. Moore] There are criteria of ineffability whereby, even if the concept of ineffability can never serve to modify truth, it can sometimes serve to modify other things, specifically understanding. This allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein's Tractatus and those who adopt the new reading recently championed by Diamond, Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather than (...) ineffable truth, we can do considerable justice to each of these readings. We can also do considerable justice to the Tractatus. /// [Peter Sullivan] Moore proposes to cut between 'traditional' and 'new' approaches to the Tractatus, suggesting that Wittgenstein's intention is to convey, through the knowing use of nonsense, ineffable understanding. I argue, first, that there is indeed room for a proposal of Moore's general kind. Secondly, though, I question whether Moore's actual proposal is not more in tune with Wittgenstein's later thought than with the attitude of the Tractatus. (shrink)

It is fairly well known that Wittgenstein's criticisms of Russell's multiple‐relation theory of judgement had a devastating effect on the latter's philosophical enterprise. The exact nature of those criticisms however, and the explanation for the severity of their consequences, has been a source of confusion and disagreement amongst both Russell and Wittgenstein scholars. In this paper, I offer an interpretation of those criticisms which shows them to be consonant with Wittgenstein's general critique of Russell's conception of logic and which serves (...) to elucidate some of the notoriously enigmatic passages of the Tractatus. In particular, I seek to show the continuity of Wittgenstein's criticisms of the theory of judgement with his remarks on Russell's paradox and the theory of types. In addition, I place these issues in the context of Russell's own philosophical ambitions in order to reveal the deep divisions between the two over the nature of logical form and the analysis of propositional content. (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)

I argue, through appeal to the distinction between analysis and decomposition described by Dummett, that Wittgenstein employs both of those notions in the Tractatus. I then bring this interpretation to bear upon the issue of propositional unity, where I formulate an objection to the views of both Leonard Linksy and José Zalabardo. I show that both Linsky and Zalabardo fail to acknowledge the distinction between analysis and decomposition present in the Tractatus, and that they consequently mischaracterise Wittgenstein’s position with respect (...) to propositional unity. (shrink)

This paper reconsiders the notion that Nagarjuna and Wittgenstein’s Tractatus may only be seen as comparable under a shared ineffability thesis, that is, the idea that reality is impossible to describe in sensible discourse. Historically, Nagarjuna and the early Wittgenstein have both been widely construed as offering either metaphysical theories or attempts to refute all such theories. Instead, by employing an interpretive framework based on a ‘resolute’ reading of the Tractatus, I suggest we see their philosophical affinity in terms of (...) a shared conception of philosophical method without proposing theses. In doing so, this offers us a new way to understand Nagarjuna’s characteristic claims both to have ‘no views’ and refusal to accept that things exist ‘inherently’ or with ‘essence’. Therefore, instead of either a view about the nature of a mind-independent ‘ultimate reality’ or a thesis concerning the rejection of such a domain, I propose that we understand Nagarjuna’s primary aim as ‘therapeutic’, that is, concerned with the dissolution of philosophical problems. However, this ‘therapy’ should neither be confined to the psychotherapeutic metaphor nor should it be taken to imply a private enlightenment only available to philosophers. Instead, for Nagarjuna and Wittgenstein, philosophical problems are cast as a source of disquiet for all of us; what their work offers is a soteriology, a means towards our salvation. (shrink)

This paper brings to light a new puzzle for Frege interpretation, and offers a solution to that puzzle. The puzzle concerns Frege’s judgement-stroke (‘|’), and consists in a tension between three of Frege’s claims. First, Frege vehemently maintains that psychological considerations should have no place in logic. Second, Frege regards the judgementstroke—and the associated dissociation of assertoric force from content, of the act of judgement from the subject matter about which judgement is made—as a crucial part of his logic. Third, (...) Frege holds that judging is an inner mental process, and that the distinction marked by the judgement-stroke, between entertaining a thought and judging that it is true, is a psychological distinction. I argue that what initially looks like confusion here on Frege’s part appears quite reasonable when we remind ourselves of the differences between Frege’s conception of logic and our own. (shrink)

ABSTRACTThis essay compares and contrasts Zalabardo’s reading of the purpose of the Tractatus, and its use of nonsense, with the ‘resolute’ and ‘ineffabalist’ readings. First determining that it sh...

According to Wittgenstein's Tractatus Logico-Philosophicus, propositions of natural science are all meaningful propositions of language therefore there is no ethical proposition because alleged ones do not fulfil the criterion of meaningfulness of propositions, which is empirical verifiability. In addition, Wittgenstein somewhere considers Tractatus Logico-Philosophicus to have an important ethical point. There seems to be a conflict between Wittgenstein's recent claim, on the one hand, and the meaninglessness of ethics, on the other. In the face of this apparent conflict, we try (...) to ponder the question of what is the ethical point of Tractatus Logico-Philosophicus. In answer to this question, we will pay attention to Kevin Cahill's interpretation of Wittgenstein. In Wittgenstein's view, modern culture prevents what he calls the experience of the wonder of the world. Cahill interprets the ethical point of Tractatus Logico-Philosophicus in connection with Wittgenstein's view on modern culture. What objection would Tractatus Logico-Philosophicus be subject to if Cahill's interpretation were correct? How defensible is the dependence of Cahill's interpretation of Tractatus on other Wittgenstein's works? At the end of our study, we will answer these questions. (shrink)

Nietzsche is often said to have started out as a Schopenhauerian metaphysician of some kind before leaving Schopenhauer behind him, and, by the end of his sane life, metaphysics too. His first and last thoughts about tragedy, however, sit uneasily with this narrative. The late thoughts are simply too close to the early ones for the story to accommodate them—not for their Schopenhauerianism, but for the strongly metaphysical flavour that they appear to share. The argument of the present paper is (...) that the appearance is veridical, and that attempts to explain away the metaphysical flavour of the later remarks cannot succeed. The paper concludes with a brief diagnosis of why Nietzsche's final thoughts about tragedy, in Twilight of the Idols, so unignorably recall the ones expressed in his first book, The Birth of Tragedy. (shrink)

According to a certain kind of naïve or folk understanding of physical matter, everyday ‘solid’ objects are composed of a homogeneous, gap-less substance, with sharply defined boundaries, which wholly fills the space they occupy. A further claim is that our perceptual experience of the environment represents or indicates that the objects around us conform to this sort of conception of physical matter. Were this further claim correct, it would mean that the way that the world appears to us in experience (...) conflicts with the deliverances of our best current scientific theories in the following respect: perceptual experience would be intrinsically misleading concerning the structure of physical matter. I argue against this further claim. Experience in itself is not committed to, nor does it provide evidence for, any such conception of the nature of physical matter. The naïve/folk conception of matter in question cannot simply be ‘read-off’ from perceptual appearances. (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)

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)

This paper addresses the problem of providing a satisfying explanation of the Tractarian notions of state of affairs, fact and situation, an issue first raised by Frege and Russell. In order to do so, I first present what I consider to be the three main existing interpretations of these notions: the classic, the standard and Peter Simons’. I then present and defend an interpretation which is closer to the text than the classic and standard interpretations; one which is similar to (...) Peter Simons’ but which differs from it concerning one important point with respect to the nature of situations. Accordingly, the above mentioned should be seen as three wholly distinct categories. States of affairs are to be understood as Russellian complexes, facts as the subsistence and non-subsistence of states of affairs and situations as possibilities of the subsistence and possibilities of the non-subsistence of states of affairs. (shrink)

Assertion plays a crucial dual role in Frege's conception of logic, a formal and a transcendental one. A recurrent complaint is that Frege's inclusion of the judgement-stroke in the Begriffsschrift is either in tension with his anti-psychologism or wholly superfluous. Assertion, the objection goes, is at best of merely psychological significance. In this paper, I defend Frege against the objection by giving reasons for recognising the central logical significance of assertion in both its formal and its transcendental role.

By means of a reductio argument, Wittgenstein’s Tractatus calls into question the very idea that we can represent logical form. My paper addresses three interrelated questions: first, what conception of logical form is at issue in this argument? Second, whose conception of logic is this argument intended to undermine? And third, what could count as an adequate response to it? I show that the argument construes logical form as the universal, underlying correlation of any representation and the reality it represents. (...) I further show that the argument seeks to undermine core commitments of Frege’s and Russell’s. But the reductio, as I read it, is not intended to establish the falsity of any of their specific assumptions. Rather, its aim is to make manifest the indeterminacies that underlie the language in which these assumptions are framed, and establish the need for a transformation of that language. So understood, Wittgenstein’s argument exemplifies his idea that philosophy is not a theory, but an activity of elucidation. The interpretation I propose bears on one of the central debates in the literature, namely how we should understand Wittgenstein’s contention that his elucidations succeed despite being nonsensical. (shrink)

Both Heidegger and Wittgenstein consider the possibility of a philosophical inquiry of an absolutely universal scope—an inquiry into the being of all beings, in Heidegger’s case, and into the logical form of everything that can be meaningfully said, in Wittgenstein’s. Moreover, they both raise the worry that the theoretical language by means of which we speak of particular beings and assert particular facts is not suited to this task. And yet their own philosophical work seems to include many assertions of (...) ordinary, theoretical language. Are they being inconsistent? Or are they hoping to use theoretical language in a way that conveys what cannot be said in that language? Much of the scholarship on each of these thinkers takes the form of one of the two horns of this dilemma. In the context of Wittgenstein scholarship, however, a third alternative has been proposed: the Resolute Reading of the Tractatus. My aim is to establish the availability of a similar solution to Heidegger’s predicament. It will emerge that Heidegger rejects the possibility of a theoretical account of being and pursues a project of a radically different sort, whose goal is to bring about a transformation of our fundamental relation to being. (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)

El objetivo de este ensayo es iluminar la “doctrina de mostrar” de Wittgenstein, que se manifiesta en el Tractatus Logico-Philosophicus, por vía de la noción de “espacio lógico”. Esta doctrina presenta una dicotomía aguda entre lo que podemos decir o expresar y lo que sólo podemos mostrar o manifestar. La tensión entre mostrar y decir es destacada en el lema del Tractatus, donde Wittgenstein cita a Kürnberger: “...y lo que sea que un hombre sepa, cualquier cosa que no sean meros (...) ruidos y rugidos que él ha escuchado, puede decirse en tres palabras”. La tensión se encuentra entre el contenido múltiple del conocimiento y el severamente limitado monto de palabras significativas que pueden expresarlo, de manera que estas tres palabras deben manifestar mucho más de lo que ellas expresan; resulta que la singularidad engloba la generalidad. Tal tensión entre lo particular y lo general subyace en la “doctrina de mostrar” de Wittgenstein, tal y como será demostrado aquí por medio del concepto de “espacio lógico”, que es una de las nociones clave del Tractatus. La investigación del Tractatus será precedida por un esbozo de la filosofía del lenguaje de Heráclito en la cual los nombres manifiestan tanto un objeto particular como un principio cósmico, o el Logos. (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)

Anselm's Ontological Argument fails, but not for any of the various reasons commonly adduced. In particular, its failure has nothing to do with violating deep Kantian principles by treating ‘exists’ as a predicate or making reference to ‘Meinongian’ entities. Its one fatal flaw, so far from being metaphysically deep, is in fact logically shallow, deriving from a subtle scope ambiguity in Anselm's key phrase. If we avoid this ambiguity, and the indeterminacy of reference to which it gives rise, then his (...) argument is blocked even if his supposed Meinongian extravagances are permitted. Moreover it is blocked in a way which is straightforward and compelling (by contrast with the Kantian objections), and which generalizes easily to other versions of the Ontological Argument. A significant moral follows. Fear of Anselm's argument has been hugely influential in motivating ontological fastidiousness and widespread reluctance to countenance talk of potentially non-existing entities. But if this paper is correct, then the Ontological Argument cannot properly provide any such motivation. Some of the most influential contributions to ontology, from Kant to Russell and beyond, rest on a mistake. (shrink)

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)

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)

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)

The present paper is one installment in a lengthy task, the replacement of atomistic interpretations of Wittgenstein's Tractatus by a wholistic interpretation on which the world-in-logical-space is not constructed out of objects but objects are abstracted from out of that space. Here, general arguments against atomism are directed toward a specific target, the four aspects of the atomistic reading of Tractatus given in the Hintikkas' Investigating Wittgenstein (Hintikka & Hintikka 1986). The aspects in question are called the semantical, metaphysical, epistemological (...) and formal.What follows a précis of the Hintikkas' rendering of Wittgenstein's perspective is a characterization of the wholistic interpretation, comparing Wittgenstein's world and the transcendental conditions it sets upon possible notation to a blank page and the conditions it sets upon what is about to be written there. There will not be occasion to bring arguments against each plank in the atomist's platform or in support of each facet of wholism. But there is an extended treatment of the first two aspects — the semantical and metaphysical — which takes off from Wittgenstein's determination that, in his hands, logic must take care of itself. (shrink)

In this paper, elementary but hitherto overlooked connections are established between Wittgenstein's remarks on mathematics, written during his transitional period, and free-variable finitism. After giving a brief description of theTractatus Logico-Philosophicus on quantifiers and generality, I present in the first section Wittgenstein's rejection of quantification theory and his account of general arithmetical propositions, to use modern jargon, as claims (as opposed to statements). As in Skolem's primitive recursive arithmetic and Goodstein's equational calculus, Wittgenstein represented generality by the use of free (...) variables. This has the effect that negation of unbounded universal and existential propositions cannot be expressed. This is claimed in the second section to be the basis for Wittgenstein's criticism of the universal validity of the law of excluded middle. In the last section, there is a brief discussion of Wittgenstein's remarks on real numbers. These show a preference, in line with finitism, for a recursive version of the continuum. (shrink)