In Philosophical Investigations 193–94, Wittgenstein draws a notorious analogy between the working of a machine and the application of a rule. According to the view of rule-following that Wittgenstein is criticizing, the future applications of a rule are completely determined by the rule itself, as the movements of the machine components are completely determined by the machine configuration. On what conception of the machine is such an analogy based? In this paper, I intend to show that Wittgenstein relied on quite (...) a specific scientific tradition very active at the beginning of the twentieth century: the kinematic or the general science of machines. To explain the fundamental tenets of this line of research and its links with Wittgenstein, I focus on Franz Reuleaux, whose works were known to Wittgenstein. The first payoff of this investigation is to help distance the functionalist framework from which this passage is often read: Wittgenstein’s machines are not computers. The second payoff is to explain why Wittgenstein talks about machines at this place in his discussion on rule-following: it is not the machine model in itself that is criticized in PI 193–94, but the “philosophical” temptation to generalize from it. (shrink)

This article explains Wittgenstein's distinction between good, bad, and vacuous modern music which he introduced in a diary entry from January 27, 1931. I situate Wittgenstein's discussion in the context of Oswald Spengler's ideas concerning the decline of Western culture, which informed Wittgenstein's philosophical progress during his middle period, and I argue that the music theory of Heinrich Schenker, and Wittgenstein's critique thereof, served as an immediate link between Spengler's cultural pessimism and Wittgenstein's threefold distinction. I conclude that Wittgenstein's distinction (...) between bad and vacuous modern music is analogous to Schenker's distinction between the compositional fallacies of the progressive and the reactionary composers of his time. Concomitantly, Wittgenstein's philosophically problematic notion of good modern music transcended the conceptual framework of both Schenker and Spengler. In this context, I examine Wittgenstein's remarks on Gustav Mahler as well as his remark on the music of the future as monophony, which, I conclude, should be understood ultimately as an ellipsis of his much later view of musical meaning and intelligibility. (shrink)

The philosopher Ludwig Wittgenstein cites the Gestalt psychologist Wolfgang Koehler almost as often as he cites William James in his posthumously published writings on the philosophy of psychology. Yet, few treatments of the Wittgenstein–Koehler relation in the philosophical literature could be called sustained discussions. Moreover, most of them treat Koehler as a mere whipping boy for Wittgenstein, one more opportunity to criticize the practice of psychologists. This article emphasizes how much the two thinkers agreed, and the extent to which some (...) of Wittgenstein’s work not only agreed with but also has a logical structure parallel to some of Koehler’s text. Both thinkers hold that the theoretician should strive to recognize and resist the impulse to step in and purify, distill, streamline, or exclude phenomena: common, everyday experience for Koehler and common, everyday uses of words for Wittgenstein. They both aim to counteract the tendency to discount and disparage what is ordinary and common. (shrink)

This article explores the philosophies of Heidegger and Wittgenstein to illustrate the thesis that philosophy is a human activity exhibiting a unity of investigative and therapeutic aims. For both philosophers, the purpose of philosophical concepts is to point toward a path of transformation rather than to explain. For both, a first step on this path is the recognition of constraining illusions, whether conventional or metaphysical. For both, such illusions are sedimented in linguistic practices, and for both, philosophical investigation is a (...) way of emancipating thought and life from illusion by bringing what is already prereflectively understood into the light of thematic explicitness. And what both philosophers bring into thematic explicitness are aspects of the context-embeddedness and finitude of human existence. It is hoped that comparing the works of these two philosophers will unveil features of each that are more difficult to discern in the works of either considered in isolation. (shrink)

What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (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)

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)

This paper substitutes a structural hermeneutics for the sequential approach to the Tractatus and its manuscript, which leaves the manuscript completely unexplained. All the pieces come together only if we recognise that Wittgenstein's book is a hierarchical object that was composed following a top-down strategy. Therefore, we realise that the “summary on scattered sheets” represents the perspicuous version of the manuscript, the correlations with the Notebooks become obvious and the “supplements” can be reconstructed. A correct dating of the composition allows (...) us to understand how it was possible, without digital technologies except from an ingenious application of the decimal system, to achieve this formal masterpiece. (shrink)

ABSTRACTThis article retrieves, situates, and interprets Ludwig Wittgenstein's overlooked remarks about the composer Gustav Mahler, and connects them with Wittgenstein's philosophical perspective and practice, as well as with his musical aesthetics.

Although Wittgenstein’s most extensive discussion of aspect‐recognition appears in Part II of the Philosophical Investigations, aspect‐recognition was of interest to Wittgenstein almost from the beginning of his engagement with philosophy at Cambridge in 1912. However, the nature of that interest changes upon his return to Cambridge in 1929, and that change in turn is connected with the inter‐related ideas that philosophical clarity rests on recognising aspects of our grammar and that mathematical proof leads us to recognise new aspects of mathematical (...) expressions. (shrink)