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)

We are familiar with various set-theoretical paradoxes such as Cantor's paradox, Burali-Forti's paradox, Russell's paradox, Russell-Myhill paradox and Kaplan's paradox. In fact, there is another new possible set-theoretical paradox hiding itself in Wittgenstein’s Tractatus. From the Tractatus’s Picture theory of language we can strictly infer the two contradictory propositions simultaneously: the world and the language are equinumerous; the world and the language are not equinumerous. I call this antinomy the world-language paradox. Based on a rigorous analysis of the Tractatus, with (...) the help of the technical resources of Cantor’s naive set theory and Zermelo-Fraenkel set theory with the axiom of choice, I outline the world-language paradox and assess the unique possible solution plan, i.e., the mathematical plan utilizing ‘infinity’. I conclude that Wittgenstein cannot solve the hidden set-theoretical paradox of the Tractatus successfully unless he gives up his finitism. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

In this article I explore some implications of the correspondence that went on between Ludwig Wittgenstein and the logician and mathematician Gottlob Frege. Part of this exchange was focused on the envisaged publication of Wittgenstein’s Tractatus Logico-Philosophicus, and on the philosophical or literary character of that work. The problem discussed concerned the question of whether the Tractatus should be seen not as a scientific but as an artistic achievement. My first goal is to present what, given Frege’s writings, his phrase (...) “an artistic rather than a scientific achievement” could be understood to mean in terms of the Tractatus itself. Secondly, I seek to determine the extent to which traces of Frege’s understanding of such terms as “mock thoughts,” “fiction,” “elucidation,” “paintings” and “colouring” are to be found in the language of the Tractatus. This should then make it possible to show how Wittgenstein’s work, viewed from a Fregean perspective, can be seen as furnishing a logic and semantics not only for the languages of logic and natural science, but also for something that is “an artistic rather than a scientific achievement”, while also indicating that the content of the Tractatus as a whole could not have been captured independently of the unified form Wittgenstein himself gave it. (shrink)

It is not immediately clear from Wittgenstein’s Tractatus how to connect his idea there of an object with the logical ontologies of Frege and Russell. Toward clarification on this matter, this paper compares Russell’s and Wittgenstein’s versions of the thesis of an atomic fact that it is a complex composition. The claim arrived at is that whilst Russell (at times at least) has one particular of the elements of a fact – the relation – responsible for the unity of the (...) whole, for Wittgenstein the unity of a fact is the product of copulative powers inherent in all its elements. All kinds of constituents of Tractarian facts – all kinds (forms) of object – are, to use Fregean terminology, unsaturated. (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)

In this paper, I explore Wittgenstein’s inheritance of one specific strand of Kant’s criticism, in the Critique of Pure Reason, of reason’s inherent pretensions to totality. This exploration reveals new critical possibilities in Wittgenstein’s own philosophical method, challenging existing interpretations of Wittgenstein’s political thought as “conservative” and exhibiting the closeness of its connection to another inheritor of Kant’s critique of totality, the Frankfurt school’s criticism of “identity thinking” and the reification of reason to which it leads. Additionally, it shows how (...) Wittgenstein’s linguistic philosophy offers to challenge and undermine, in a historically novel way, the metaphysical assumptions underlying some of our most characteristic and ubiquitous social practices. (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 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)