In this paper, I will be arguing that the basic infrastructure of an ineffable formal identity between name and object which is presented in the Tractatus is still very much involved in Wittgenstein's early development of the concept of grammar. First, it will be necessary to clearly describe how the identity between name and object is initially formulated in the Tractatus. Hence, in section 1, I will show how the 'picture theory' is ontologically grounded on the identity of linguistics' (...) and worldly atomic structural elements. I will discuss the ‘picture theory’ only briefly, since my main interest is to illuminate how that infrastructure remains a core aspect of Wittgenstein's “middle period” thinking: that is, in what way the identity of name and object is contained and presupposed within his concept of grammar and how it is still used as a condition for our symbolism to make sense. Another way to describe this paper's aim, this time from its end backwards, would be to say that it is to reveal that grammatical systems of rules are nothing other than the implementations of that special kind of identity, for the latter is always and already manifest within our symbolism. (shrink)

In the commentaries on Wittgenstein's Tractatus, due attention has always been paid to the philosophy of logic contained in this work. In particular the statement that a picture and reality must have their form in common has attracted the attention of the commentators. This statement has been explained now in an extreme realistic way, now in the sense of a linguistic kantianism. Both of the interpretations have this in common that they tend to give a kind of metaphysical status (...) to this 'logical form', considered either as THE form of reality on its own or as THE objective form of language as such. In our article, we try to show that there is no place for this kind of 'hypostases' or reifications in the philosophy of the Tractatus. We point out some important arguments available in the text, to show that Wittgenstein didn't found logic on what can be termed as the objective and given structural form either of language or of reality. The point of his philosophy of logic, we argue, was not a metaphysical, but rather a pragmatical and operational one. Our argumentation is built upon what we consider to be the two basic texts of Wittgenstein's philosophy of logic, namely that we can „postulate” the truths of logic in so far as we can postulate an „adequate notation”(6.1233), and that the so called „logical constants” are not representatives : that there can be no „representatives” (in German : „vertreten”) of the logic of facts (4.0312). We first try to show that logic is not really distinct from the grammar (syntax, form) of a language which is capable to express reality in a complete and determinate way (4.123; 3.14; 3.251; 4.023; 4A66 ; 6.124; 4.002a). And to the extent that there is no meaningfull language without a signified reality related with it, there is no logic either which is not apriori and at the same time a logic applied to reality, i.e. the logic of the world. Consequently, we try to develop an interpretation of 2.16-2.18 of the Tractatus which can account for its a-metaphysical, operational conception of logic. Finally, we attempt a clarification of 5.552, a text which we consider as basic for Wittgenstein's philosophy of the „mystical”. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd Reviews 173 WITTGENSTEIN’S PRIMORDIAL WORK James Connelly Philosophy / Trent U. Peterborough, on, Canada k9j 7b8 jamesconnelly@trentu.ca Michael Potter. Wittgenstein’s Notes on Logic. Oxford and New York: Oxford U. P., 2009. Pp. [xii], 310. isbn 978-0-19-921583-6. £37.00; us$70.00. April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd 174 Reviews Michael (...) Potter’s Wittgenstein’s Notes on Logic is a painstakingly detailed scholarly study which blends philosophical insight with biographical and historical context to yield a deeper appreciation of the key themes informing Wittgenstein’s philosophical development over his initial period of residence at Cambridge in 1911–13. Notingasurprising gap in the literature on Wittgenstein’s philosophy (p. 3), Potter sets out to treat Wittgenstein’s 1913 “Notes on Logic” (which consists of a succinct summary of the conclusions reached over this initial period) as an independent and primordial philosophical work. While it has been common for serious scholars of Wittgenstein’s Tractatus to “mine” (p. 1) his pre-Tractarian writings in search of “remarks to support their interpretations ” (p. 1) of that text, what sets Potter’s study of the “Notes” apart from previous attempts at exegesis is a methodological determination to approach the “Notes” as “if not quite … a terminus in Wittgenstein’s work then at least as worthy of study in their own right” (p. 1). An important advantage of this approach, according to Potter, is that it facilitates a clearer appreciation of Wittgenstein’s lasting insights “into the central themes of philosophical logic” (p. 262), many of which Wittgenstein himself had already grasped by 1913 and which survive subsequent rejection of some of the less plausible aspects of the Tractatus (such as logical atomism and the picture theory of propositions). By presenting these key insights as consequences of central, but only subsequently adopted, Tractarian doctrines such as the picture theory, however, traditional Wittgenstein scholarship has missed an opportunity, uniquely important in the case of his philosophy (p. 1), to elucidate them against the background of the actual historical landscape of problems, strategies, motivations, and inXuences, within the context in which they were originally formulated. According to Potter, then, looking at the “Notes” as a Wnished work in its own right, as opposed to a mere collection of preparatory notes, will help us to understand better both the more thorough reasoning Wittgenstein worked through in developing these various insights (subsequently either suppressed or highly compressed in the Wnal draft of the Tractatus itselfy), and just what further logical work that subsequently added elements, such as the picture theory, were supposed to contribute. Likewise, such an approach will help us to understand better the relevant inXuences upon Wittgenstein’s philosophical development, such as those, obviously and respectively, of Frege and Russell. Integral to distilling these various insights and inXuences from the “Notes”, according to Potter, is the process of “disentangling” (p. 3) various extant versions of the text from one another, the distinct versions themselves arising from the “rather complicated circumstances” (p. 3) in which the “Notesz” were composed. Following upon a lengthy explication of both the content and philosophical context of the “Notes”, Potter therefore attempts to “reconstruct the circumstances of composition of Wittgenstein’s Wrst surviving philosophical work” (p. 263). This is achieved by engaging in some “historical detective work” April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd Reviews 175 1 Reprinted in Ludwig Wittgenstein, Notebooks 1914–1916, ed. G.yH. von Wright and G.yE.yM. Anscombe (Oxford: Basil Blackwell, 1961) pp. 93–107. The second edition (1979) has the so-called “Russell” version of the “Notes on Logic”, which Potter prints in a diTerent arrangement. (p. 3), aimed at identifying and clarifying various crucial aspects of the “Notes”z’ historical and biographical context. Along with an Appendix B containing two diTerent versions of the “Notes” themselves (the “Cambridge” and “Birmingham... (shrink)

Semantic categories in the world's languages often reflect a historical process of chaining: A name for one referent is extended to a conceptually related referent, and from there on to other referents, producing a chain of exemplars that all bear the same name. The beginning and end points of such a chain might in principle be rather dissimilar. There is also evidence supporting a contrasting picture: Languages tend to support efficient, informative communication, often through semantic categories in which all exemplars (...) are similar. Here, we explore this tension through computational analyses of existing cross-language naming and sorting data from the domain of household containers. We find formal evidence for historical semantic chaining, and evidence that systems of categories in this domain nonetheless support near-optimally efficient communication. Our results demonstrate that semantic chaining is compatible with efficient communication, and they suggest that chaining may be constrained by the functional need for efficient communication. (shrink)

I argue that there is tension in Wittgenstein’s position on trivialities (i.e. tautologies and contradictions) in the Tractatus, as it contains the following claims: (A) sentences are pictures; (B) trivialties are not pictures; (C) trivialities are sentences. A and B follow from the “picture theory” of language which Wittgenstein proposes, while C contradicts it. I discuss a way to resolve this tension in light of Logicality, a hypothesis recently developed in linguistic research. Logicality states that trivialities are excluded (...) by the grammar, and that under the right analysis sentences which look trivial are in fact contingent. The tools necessary to support Logicality, I submit, were not available to Wittgenstein at the time, which explains his commitment to C. I end the paper by commenting on some points of contact between analytic philosophy and the generative enterprise in linguistics which are brought into relief by the discussion. (shrink)

Perhaps the most important work of philosophy written in the twentieth century, the Tractatus Logico-Philosophicus first appeared in 1921 and was the only philosophical work that Ludwig Wittgenstein (1889-1951) published during his lifetime. Written in short, carefully numbered paragraphs of extreme compression and brilliance, it immediately convinced many of its readers and captivated the imagination of all. Its chief influence, at first, was on the Logical Positivists of the 1920s and 30s, but many other philosophers were stimulated by (...) its philosophy of language, finding attractive, if ultimately unsatisfactory, its view that propositions were pictures of reality. Perhaps most of all, Wittgenstein himself, after his return to philosophy in the late 1920s, was fascinated by its vision of an inexpressible, crystalline world of logical relationships. The posthumous publication of other writings has, therefore, only served to reawaken interest in the Tractatus and to illuminate its more neglected aspects. David Pears and Brian McGuinness revised their translation in the light of Wittgenstein's own suggestions and comments in his correspondence with C.K. Ogden about the first translation. In addition, this edition contains the introduction by Bertrand Russell which appeared in the original English translation. (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)

When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are (...) not, but from what I have read of them I am quite sure that he ought to have an opportunity to work them out, since, when completed, they may easily prove to constitute a whole new philosophy." "[ Philosophical Remarks ] contains the seeds of Wittgenstein's later philosophy of mind and of mathematics. Principally, he here discusses the role of indispensable in language, criticizing Russell's The Analysis of Mind . He modifies the Tractatus 's picture theory of meaning by stressing that the connection between the proposition and reality is not found in the picture itself. He analyzes generality in and out of mathematics, and the notions of proof and experiment. He formulates a pain/private-language argument and discusses both behaviorism and the verifiability principle. The work is difficult but important, and it belongs in every philosophy collection."--Robert Hoffman, Philosophy "Any serious student of Wittgenstein's work will want to study his Philosophical Remarks as a transitional book between his two great masterpieces. The Remarks is thus indispensible for anyone who seeks a complete understanding of Wittgenstein's philosophy."--Leonard Linsky, American Philosophical Association. (shrink)

Wittgenstein’s “machines-as-symbols” are considered with respect to their historical sources and their symbolic and logical nature. Among these sources and precursors, along with Leonardo’s drawings of machines, there are illustrated “machine books”, a kind of book published in the period from the 16th to the 18th centuries which consist of pictures and descriptions of a variety of mechanical devices. Most probably, these books were one of Wittgenstein’s inspirations for his view of machines as components of language-games. The (...) picture of homo volans in Vrančić’s machine book possessed by Wittgenstein is taken as an example. In particular, homo volans is shown to contain patterns of logical laws and rules and to be abstractly interpretable as a logical symbol. A machine, taken as a symbol, is shown to be a precondition of a meaningful “overview” of a mechanical work that exceeds the limits of decidability, and to possess causal features if causality is understood teleologically and in a deeper sense of a “binding” life. (shrink)

Perhaps the most important work of philosophy written in the twentieth century, the Tractatus Logico-Philosophicus first appeared in 1921 and was the only philosophical work that Ludwig Wittgenstein (1889-1951) published during his lifetime. Written in short, carefully numbered paragraphs of extreme compression and brilliance, it immediately convinced many of its readers and captivated the imagination of all. Its chief influence, at first, was on the Logical Positivists of the 1920s and 30s, but many other philosophers were stimulated by (...) its philosophy of language, finding attractive, if ultimately unsatisfactory, its view that propositions were pictures of reality. Perhaps most of all, Wittgenstein himself, after his return to philosophy in the late 1920s, was fascinated by its vision of an inexpressible, crystalline world of logical relationships. The posthumous publication of other writings has, therefore, only served to reawaken interest in the Tractatus and to illuminate its more neglected aspects. David Pears and Brian McGuinness revised their translation in the light of Wittgenstein's own suggestions and comments in his correspondence with C.K. Ogden about the first translation. In addition, this edition contains the introduction by Bertrand Russell which appeared in the original English translation. (shrink)

The thesis of this paper is that the Tractatus and the Investigations can be related as follows. Wittgenstein attempted in the Tractatus to avoid the conceptual realism of Frege and Russell with respect to propositions. He solved his problem by developing the picture-theory of language. This solution assumed that the units of language are words which arc names of simple objects. Because of this assumption the solution has the undesirable consequence that examples oi genuine names, atomic facts and atomic (...) propositions cannot be given although their existence is logically required by the solution. Wittgenstein had, therefore, eventually to examine the idea of a name. Thus the Philosophical Investigations in which this examination is conducted. (shrink)

This short book comprises “four largely self-contained studies … unified by a common interpretive approach”, the “investigation of the historical development of … Wittgenstein’s early philosophy”. Proops applies this historical approach to Wittgenstein’s conception of logic, his critique of “logical assertion,” his “picture theory” of language, and his discussion of the justification of deduction. He endeavors to “bring out how Wittgenstein develops his views … as foils to the positions developed by Frege and Russell”, arguing that (...) “it is not Frege but Russell whose work provides the most important background for … the Tractatus”. (shrink)

The proposition 'seattle is west of spokane' has three parts: two\nproper names and the predicate 'is west of.' the fact pictured has\ntwo: seattle and spokane. but the picture theory holds that there\nmust be a one-to-one correspondence between fact and proposition.\nhow does wittgenstein solve this problem in the 'tractatus'? on one\ninterpretation the fact contains a third part, a relation, corresponding\nto the predicate (evans and stenius). on another the proposition\nis transformed by analysis into a two-dimensional diagram, the predicate\ndisappearing in the process (...) (copi and anscombe). both are rejected.\ntwo new suggestions are offered: (1) the number of possible configurations\nof 'simple' objects is not greater than the number concatenations\nof names, so no predicate is needed in 'elementary' propositions;\n(2) or the predicate can be taken as the analogue of the direction\narrow on a map and not counted as a part of the proposition. (shrink)

It is proved that MacLane''s coherence results for monoidal and symmetric monoidal categories can be extended to some other categories with multiplication; namely, to relevant, affine and cartesian categories. All results are formulated in terms of natural transformations equipped with graphs (g-natural transformations) and corresponding morphism theorems are given as consequences. Using these results, some basic relations between the free categories of these classes are obtained.

Discussion of Wittgenstein's Tractatus is currently dominated by two opposing interpretations of the work: a metaphysical or realist reading and the 'resolute' reading of Diamond and Conant. Marie McGinn's principal aim in this book is to develop an alternative interpretative line, which rejects the idea, central to the metaphysical reading, that Wittgenstein sets out to ground the logic of our language in features of an independently constituted reality, but which allows that he aims to provide positive philosophical insights (...) into how language functions. McGinn takes as a guiding principle the idea that we should see Wittgenstein's early work as an attempt to eschew philosophical theory and to allow language itself to reveal how it functions. By this account, the aim of the work is to elucidate what language itself makes clear, namely, what is essential to its capacity to express thoughts that are true or false. However, the early Wittgenstein undertakes this descriptive project in the grip of a set of preconceptions concerning the essence of language that determine both how he conceives the problem and the approach he takes to the task of clarification. Nevertheless, the Tractatus contains philosophical insights, achieved despite his early preconceptions, that form the foundation of his later philosophy. -/- The anti-metaphysical interpretation that is presented includes a novel reading of the problematic opening sections of the Tractatus, in which the apparently metaphysical status of Wittgenstein's remarks is shown to be an illusion. The book includes a discussion of the philosophical background to the Tractatus, a comprehensive interpretation of Wittgenstein's early views of logic and language, and an interpretation of the remarks on solipsism. The final chapter is a discussion of the relation between the early and the later philosophy that articulates the fundamental shift in Wittgenstein's approach to the task of understanding how language functions and reveal the still more fundamental continuity in his conception of his philosophical task. (shrink)

The Tractatus Logico-Philosophicus first appeared in 1921 and was the only philosophical work that Ludwig Wittgenstein published during his lifetime. Written in short, carefully numbered paragraphs of extreme compression and brilliance, it immediately convinced many of its readers and captured the imagination of all. Its chief influence, at first, was on the Logical Positivists of the 1920s and 1930s, but many other philosophers were stimulated by its philosophy of language, finding attractive, even if ultimately unsatisfactory, its view that (...) propositions were pictures of reality. Perhaps most of all, its own author, after his return to philosophy in the late 1920s, was fascinated by its vision of an inexpressible, crystalline world of logical relationships. C.K. Ogden's translation of the Tractatus Logico-Philosophicus has a unique provenance. As revealed in Letters of C.K. Ogden and in correspondence in The Times Literary Supplement , Wittgenstein, Ramsey and Moore all worked with Ogden on the translation, which had Wittgenstein's complete approval. The very name Tractatus Logico-Philosophicus was of Ogden's devising; and there is very strong feeling among philosophers that, among the differing translations of this work, Ogden's is the definitive text - and Wittgenstein's version of the English equivalent of his Logisch-Philosophische Abhandlung. (shrink)

Emphasis in historiography of science is naturally placed on the discoveries and inventions which scientists make and generally less on new methods of doing science, but sometimes the latter can he an important clue to help us understand the former. For example, while we all acknowledge how great the contributions of Maxwell, Boltzmann, Planck, and Einstein were to physics from roughly 1870 to 1920, we often overlook the significance of a methodological phrase which was popular during that same period, namely, (...) what in German was called “Bildtheorie” or in English “picture theory”. But even before we can properly study its significance we have to know what the theory was, but even this presents problems, since the meaning changed. In fact, this paper is an attempt not only to describe the history of that change from Maxwell to Wittgenstein but to study in particular how Boltzmann’s conception of Bildtheorie seems to have been at least partly incorporated into the approach of Ludwig Wittgenstein. (shrink)

A logically perfect language must meet following requirements: (i) it must not contain „empty“ expressions designating nothing and (ii) it must not involve phrases that are synonymous, homonymous etc. According to Frege, the meaning of a compound expression is a function of meanings of its components, i.e. the meaning of an expression consisting of a functional phrase and a name is the value of the function for the argument. However, for some arguments a function need not give values and, hence, (...) some compound phrases designate nothing in spite of the fact that every simple expression does designate something. Frege’s construction of a logically perfect language fails because it violates condition (i). According to Wittgenstein, every language is logically perfect; otherwise it cannot represent the world. Every expression, simple or compound, does designate something; the meaning of a compound expression consists of meanings of its components; the structure of a complex expression’s meaning mirrors, when completely analysed, the syntactic structure of the expression. Wittgenstein distinguishes between language and notation and we are supposed to look for a logically perfect notation that does not contain homonymy or synonymy. However, following some ideas from Tractatus, it can be shown that Wittgenstein cannot eliminate these phenomena and, hence, violates condition (ii). (shrink)

This thesis discusses some central aspects of Wittgenstein's conception of language and logic in his Tractatus Logico-Philosophicus and brings them into relation with the philosophies of Frege and Russell. The main contention is that a fruitful way of understanding the Tractatus is to see it as responding to tensions in Frege's conception of logic and Russell's theory of judgement. In the thesis the philosophy of the Tractatus is presented as developing from these two strands of criticism and thus as (...) the culmination of the philosophy of logic and language developed in the early analytic period. Part one examines relevant features of Frege's philosophy of logic. Besides shedding light on Frege's philosophy in its own right, it aims at preparing the ground for a discussion of those aspects of the Tractatus' conception of logic which derive from Wittgenstein's critical response to Frege. Part two first presents Russell's early view on truth and judgement, before considering several variants of the multiple relation theory of judgement, devised in opposition to it. Part three discusses the development of Wittgenstein's conception of language and logic, beginning with Wittgenstein's criticism of the multiple relation theory and his early theory of sense, seen as containing the seeds of the picture theory of propositions presented in the Tractatus. I then consider the relation between Wittgenstein's pictorial conception of language and his conception of logic, arguing that Wittgenstein's understanding of sense in terms of bipolarity grounds his view of logical complexity and of the essence of logic as a whole. This view, I show, is free from the internal tensions that affect Frege's understanding of the nature of logic. (shrink)

The volume starts with the paper of Lynn Maurice Ferguson Arnold, former Premier of South Australia and former Minister of Education of Australia, concerning the Exposition Internationale des Arts et Techniques dans la Vie Moderne (International Exposition of Art and Technology in Modern Life) that was held from 25 May to 25 November 1937 in Paris, France. The organization of the world exhibition had placed the Nazi German and the Soviet pavilions directly across from each other. Many papers are devoted (...) to the interpretation of this opposition. Arnold’s paper considers the differences in the two totalitarian states’ architectural and design discourse styles. Although each of them communicated a totalitarian language of purposes, permissions, and boundaries, they essentially differed in the styles of discourse represented by the architecture and design of their respective pavilions. They were opposites of each other and the liberal ideals they contested. The internationalist viewpoint reflecting the multi-ethnic mix of the USSR is contrasted to the ein Volk homogeneity represented in the German pavilion. The Soviet pavilion opted for a utopian future to be arrived at by “benign” leadership, whereas the German pavilion anchored itself in the myth of Teutonic history with the nostalgic pride protected by the swastika-bearing eagle. Jean-Yves Béziau is best known as a logician and founder of Universal Logic. However, in this paper, he poses a new philosophical question: why philosophical discourse does not use images? The paper begins with a general analysis of different types of philosophical discourses. Then, he focuses on why images have been and are still rejected in philosophical discourse. He explains various ways to use images in a fruitful way to develop philosophical thinking and discourse and illustrates his view by providing several examples. He concludes with a promising programmatic declaration about founding a new journal entitled World Journal of Pictorial Philosophy to stimulate the usage of images for developing philosophical thinking. Although complaints about the obscurity of many philosophers’ discourse are widespread, Tatiana Denisova, ex-professor of the Surgut University and a research associate of the University of the Aegean undertakes a positive attitude to this problem. She explains that the reasons for the obscurity of philosophical texts, the subsequent complexity in communicating philosophers’ meanings and their eventual incomplete understanding is not a sign of their inferiority. On the contrary, it is a sign of the fruitfulness of philosophical discourse, which can generate new meanings. Thus, the darkness of philosophical discourse is like the life-giving chaos, and the obscurity that it inevitably contains can be the keeper of implicit meanings and even their generator. Katarzyna Gan-Krzywoszyńska and Piotr Leśniewski, authors of a monograph on Polish philosopher Kazimierz Ajdukiewicz (1890 – 1963), make a comparative analysis of his educational style with that of Paulo Reglus Neves Freire (1921 – 1997). The authors highlight that these scholars have distinctly different backgrounds. The former was an educator, philosopher and a leading advocate of critical pedagogy connected with the dialogical Latin-American tradition. The latter was a philosopher and logician, a notable representative of the Lwów–Warsaw school of logic with significant contributions to semantics, model theory and the philosophy of science. Despite their apparent difference, the authors identify some striking similarities regarding their attitudes towards education; notably, their approaches are essentially dialogical. Gilah Yelin Hirsch is a multidisciplinary artist who works as a painter, writer, curator, educator, and filmmaker. In her experiential paper, he explains how and why she uses four channels of communication in her creative expression: writing, painting, filmmaking, and teaching, as dialogic inquiry. She considers that these channels compose a continuum of discourse styles, each reaching a different facet of kaleidoscopic consciousness. She claims that her choice of medium is prompted by a need to communicate her insights profoundly. Thus, for instance, she created painted allegories to express narratives based on dreams and visions emerging from her subconscious. Art and healing is another Tibetan-rooted type of discourse practised by the author. Creating and observing a healing image produces a positive psychophysiological change in both the artist and the viewer. The discourse here is tripartite between creator, image, and viewer. Filmmaking is another type of discourse she practices between the filmmaker/artist as shaman or healer and the viewer as respondent or participant. These films are meant to be experienced frame by frame, physically and emotionally in both the body and mind. Jocelyn Ireson-Paine is a cartoonist and programmer. His paper offers an original attempt to use category theory in cartooning. Category theory is a branch of mathematics that provides concepts and methods to describe general abstract structures in terms of a labelled directed graph called category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms or transformations or mappings). The author explores different ways to define “style” in art using category theory and a relational view of art. Moreover, he examines how “translation” (transformation) between styles could be defined and reveals the difficulties of how it could be implemented in a computer using special software. Jens Lemanski is a philosopher who has revived research in Arthur Schopenhauer’s legacy by exploring his work on mathematical evidence, logic diagrams, and problems of semantics. In this paper, he advances a new approach to eristic as an art of protecting oneself from the one who deliberately violates norms of discourse ethics to win an argument. The author attributes the origins of this view to Schopenhauer, suggesting a new reading of his work. According to the author, eristic is a prohibitive technique that takes effect when the norms of discourse ethics are transgressed and violated. Thus, eristic is viewed as a discipline of Enlightenment philosophy and a correlate of discourse ethics. Roshdi Rashed is an authority on the history of Arabic mathematical sciences. Proceeding from Gilles-Gaston Granger’s definition of mathematical style, he studies the question of whether a mathematical work can be characterized by a single style or by a multitude of styles. This question is explored within the style of a single work, namely Menelaus’s Sphaerica, and through the study of the development of a single problem over time, namely the isoperimetric problem. He indicates Menelaus’s divergence from the Euclidean style of (plane and stereometric) geometry caused by the drop of the Parallel Postulate, which associated it with hyperbolic geometry. Hence, the author concludes that Menelaus’s Sphaerica incorporates the well-known Euclidean style with a variation of the non-Euclidean one. On the other hand, examining the isoperimetric problem reveals another interesting historical picture. A succession of different styles (cosmological, geometric, infinitesimalistic, style of the calculus of variations, of synthetic geometry) can be observed due to the transformation of the research object over time. Boris Shalyutin, a Russian social philosopher, and Ombudsman for Human Rights in the Kurgan Region, explores the origins of discourse in combination with the birth of society and law. He claims that legal discourse marks the historical emergence of discourse in general. Homo Juridicus generated Homo Sapiens, which have created new spheres of discourse, notably moral discourse and further philosophical, political, and scientific discourse. Petros Stefaneas, a logician, computer scientist and novelist, suggests an alternative to the traditional narratology approach for studying (interactive) social media discourse. He claims that style describes how the parts of a narrative are blended into a whole. The author relies upon Goguen’s and Harrel’s concept of style as a choice of blending principles and transfers to the study of the social media narratives elements from the methodology of studying Web-based collaborative search for mathematical proofs like those implemented within the Polymath project. The last paper belongs to Ghil‘ad Zuckermann, a linguist, language revivalist, and proponent of a model of the emergence of Israeli Hebrew, according to which Hebrew and Yiddish were the primary sources of Modern Hebrew. This paper explores the fascinating and multifaceted Yiddish language and its survival in Israeli. Yiddish is characterized by a unique style that embeds psycho-ostensive expressions throughout its discourse. The author highlights the cross-fertilization between Hebrew and Yiddish as it manifests itself in any aspect of the Israeli language. He claims that Yiddish survives beneath Israeli phonetics, phonology, discourse, syntax, semantics, lexis, and even morphology, although traditional and institutional linguists have been most reluctant to admit it. (shrink)

This chapter contains section titled: Baker's New Conception Waismann and Wittgenstein Wittgenstein on the Psychoanalytic Analogy Wittgenstein's Methodology Reconsidered Wittgenstein and Ryle 1: Categorial Confusions Wittgenstein and Ryle 2: Logical Geography Baker's Wittgenstein.

The paper develops a novel account of the nature and genesis of some philosophical problems, which motivates an unfamiliar form of philosophical criticism that was pioneered by the later Wittgenstein. To develop the account, the paper analyses two thematically linked sets of problems, namely problems about linguistic understanding: a set of problems Wittgenstein discusses in a core part of his Philosophical Investigations, and the ‘problem of linguistic creativity’ that is central to current philosophy of language. The paper argues (...) that these problems are generated by tacit and unwarranted presuppositions at odds with warranted beliefs the philosophers raising the problems reflectively hold at the same time. For a rigorous conceptualisation of this phenomenon, the paper develops the notion of a ‘philosophical picture’ first proposed by Wittgenstein, and specifies the particular class of philosophical problems that may be raised due to adherence to such pictures. The results motivate a new form of philosophical criticism: the systematic exposure of relevant philosophical pictures, and efforts to overcome their tacit influence on philosophical reflection. (shrink)

Wittgenstein never tells us what Tractarian objects are. He never tells us what Tractarian names are. But we do know that states of affairs are combinations of objects; that propositions are logical pictures; that pictures are facts; and that elementary propositions are combinations of names, which name objects. The logical form of an elementary proposition is the same as that of the state of affairs it represents. So names are objects. The paper investigates the consequences of this (...) glimpse into the nature of objects. (shrink)

1. The early philosophy--language as picture -- 2. Logic and ontology -- 3. "My world and its value" -- 4. The later philosophy--views and reviews -- 5. Method and essense -- 6. Meaning -- 7. Criteria -- 8. Knowing, naming, certainty, and idealism -- 9. The private language argument -- 10. Logical necessity and rules -- 11. Philosophy of mathematics -- 12. Persons -- 13. Psychology and conceptual relativity -- 14. Aesthetics, ethics, and religion -- 15. Elective affinities.

The article draws a connection between three items preserved at the von Wright and Wittgenstein Archives at the University of Helsinki (WWA), namely a book by Wilhelm Busch and two copies of the photos of von Wright and Wittgenstein in Cambridge taken by Knut Erik Tranøy in 1950, by suggesting that the photos contain an allusion by Wittgenstein.

Wittgenstein's thought was profoundly shaped in both Tractatus and post‐Tractatus periods by Schopenhauer's transcendental idealism. In the later Philosophical Investigations, posthumously published in 1953, Wittgenstein identifies rules of philosophical grammar for language‐games in relation to their pragmatic point and purpose, practically grounded in forms of life. Tautology and contradiction tag along for the ride as genuine propositions by Wittgenstein in a general syntactical amnesty, despite their inability to picture facts. Wittgenstein, with his more specialized technical interests (...) in philosophical logic and semantics, apparently found something more. The sign‐symbol distinction is crucial to Wittgenstein's efforts to provide a general semantics for the possibility of determinate meaning in any logically possible language. Wittgenstein places value, ethics, and aesthetics identified as one outside the world, by which all attempts to express value are relegated extra‐semantically to the category of literal nonsense. (shrink)

The *Tractatus* contains an argument that there are simple, necessarily existent objects, which, being simple, are suited to be the referents of the names occuring in the final analysis of propositions. The argument is perplexing in its own right, but also for its invocation of the notion of "substance". I argue that if one locates Wittgenstein's conception of substance in the Kantian tradition to which his talk of "substance" alludes, what emerges is an argument that is very nearly--but not (...) quite--cogent. (shrink)

Abstract This paper discusses some recent work on the notion of possibility in Wittgenstein's Tractatus assessed by means of an interpretation of the notion put forward in Cerezo 2005. It argues that the proper way to understand the notion of possibility in the Tractatus must pay equal attention both to the picture theory and the truth-functions theory. From this perspective, through an examination of Peach's proposal (2007) it shows that the role played by the notion of logical space (...) in the determination of sense needs to be emphasized. In addition, the paper considers some consequences of the Tractarian notion of possibility, namely, the strong contingency of the world that it involves, which is revealed by the thinkability of logical space as empty envisaged by Wittgenstein in T 2.013, and also discusses the recent debate between Reinhardt (2005) and Geach (2006) on this issue. (shrink)

The purpose of this paper is to offer an interpretation of the Tractatus’ proof of the unity of logic and language. The kernel of the proof is the thesis that the sole logical constant is the general propositional form. I argue that the Grundgedanke, the existence of the sole fundamental operation N and the analyticity thesis, together with the fact that the operation NN can always be seen as having no specific formal difference between its result and its base, (...) imply that NN is intrinsic to every elementary proposition. I also argue that the picture theory of proposition is an account of the generation of propositions via naming, and that its crucial idea is that naming is the instantiation of the form of a name, which consists in arbitrarily picking out an object as the meaning of the name from those objects sorted out by the form of the name. It follows that the existential quantifier, that is, NN, is intrinsic to naming (and therefore to every elementary proposition). It is then proven that the sole logical constant is the general propositional form. This, together with the truth‐functionality of logical necessity, implies that logic and language are unified via a general rule – logical syntax. (shrink)

In reworking his Logical Investigations Husserl adopts two positions that were not actually incorporated into later editions of the Investigations but do appear in other writings: a new distinction between signitive and significative intentions, and the claim that even naming and perceiving acts are categorially formed. This paper investigates Husserl's notion of noematic sense and the pure grammatical ' categories ' intimated therein in order to shed light on these new positions. The paper argues that the development of the (...) theories of the noema and of pure grammar allows us to recognize how even merely perceived or named things have a certain categoriality belonging to them, but that this development also requires us to distinguish between an anticipatory categoriality and an articulated categoriality. (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)

This paper systematically outlines Wittgenstein's ab-notation. The purpose of this notation is to provide a proof procedure in which ordinary logical formulas are converted into ideal symbols that identify the logical properties of the initial formulas. The general ideas underlying this procedure are in opposition to a traditional conception of axiomatic proof and are related to Peirce's iconic logic. Based on Wittgenstein's scanty remarks concerning his ab-notation, which almost all apply to propositional logic, this paper explains (...) how to extend his method to a subset of first-order formulas, namely, formulas that do not contain dyadic sentential connectives within the scope of any quantifier. (shrink)

This chapter contains section titled: Organizing the Notes for On Certainty Groundlessness and Language‐games Searching for Primary Links Between Language and Reality Seeing Logic and Practice Pictures, Propositions and Reality Forms of Life Practices and Parallels Is the Title on Certainty a Happy One? Is on Certainty a Polemic against Moore? Is Wittgenstein's Main Interest in Moore's Propositions the Nature of Nonsense? Does Wittgenstein Say that the Propositions he is Interested in Form a Class, and Does he Say (...) the Same of all of Them? Are Wittgenstein's Propositions Context‐free? What is the Connection between Wittgenstein's Propositions and Logic? Is Wittgenstein Appealing to Primitive, Pre‐linguistic Reactions as the Basis of our Language‐games? What is Meant by the Sureness in Our Language‐games? How are Our Conclusions Related to the Notions of a Form of Life or World‐picture? How do Wittgenstein's Conclusions Differ from Some Classical and Contemporary Views of Our Relation to the World? Rhees's Development of Wittgenstein's Concerns. (shrink)

Theodore Waitz, in the section of his introduction to Aristotle's Organon called De Codicibus graecis organi, prints a number of passages found in various manuscripts, which are not to be treated simply as scholia on Aristotle, but are still of some interest to the student of Aristotle's logic. In this paper I am concerned with three leaves, fos. 84–6, from Laurentianus 71, 32, a fourteenth-century manuscript containing paraphrases of several works, which Waitz uses for scholia on the Categories and the (...) De Interpretatione. These leaves are in a different hand from the rest of the manuscript, and Waitz thinks they originated elsewhere. The heading is: Περ τς το ποτ κτηγορς, and the work falls into two parts, a discussion of Time, based on Physics 4, and an independent section in which the category of When, which Aristotle does little more than mention in a number of lists, is treated at length. In Waitz' text there are a number of references to scholia: these are in fact from Simplicius' Commentary on the Categories, and a comparison with these and still other passages of Simplicius not mentioned by Waitz suggests that the author of this work was Boethus of Sidon, the Peripatetic. I propose to examine it and argue that it is indeed by Boethus. Boethus, known as ‘the Peripatetic’, to distinguish him from the Stoic philosopher of the same name, was head of the Peripatos in succession to Andronicus of Rhodes. There is some uncertainty about Andronicus' dates, but he lived some time in the middle of the first century b.c. and we may place Boethus somewhat later in the same century. Andronicus is well known as the editor, and in a sense the rediscoverer, of the esoteric works of Aristotle; it is less well known that he had an independent attitude to Aristotle and put forward what he presumably thought of as some improvements in doctrine. What concerns us here is his attempt to substitute the category of Time for that of When. In opposition to him Boethus may be seen as a conservative, coming to the defence of Aristotle against these innovations. (shrink)

In the theory of meaning, it is common to contrast truth-conditional theories of meaning with theories which identify the meaning of an expression with its use. One rather exact version of the somewhat vague use-theoretic picture is the view that the standard rules of inference determine the meanings of logical constants. Often this idea also functions as a paradigm for more general use-theoretic approaches to meaning. In particular, the idea plays a key role in the anti-realist program of Dummett (...) and his followers. In the theory of truth, a key distinction now is made between substantial theories and minimalist or deflationist views. According to the former, truth is a genuine substantial property of the truth-bearers, whereas according to the latter, truth does not have any deeper essence, but all that can be said about truth is contained in T-sentences (sentences having the form: ‘P’ is true if and only if P). There is no necessary analytic connection between the above theories of meaning and truth, but they have nevertheless some connections. Realists often favour some kind of truth-conditional theory of meaning and a substantial theory of truth (in particular, the correspondence theory). Minimalists and deflationists on truth characteristically advocate the use theory of meaning (e.g. Horwich). Semantical anti-realism (e.g. Dummett, Prawitz) forms an interesting middle case: its starting point is the use theory of meaning, but it usually accepts a substantial view on truth, namely that truth is to be equated with verifiability or warranted assertability. When truth is so understood, it is also possible to accept the idea that meaning is closely related to truth-conditions, and hence the conflict between use theories and truth-conditional theories in a sense disappears in this view. (shrink)

In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic (...) language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. (shrink)

In Plato’s Parmenides 132a-133b, the widely known Third Man Paradox is stated, which has special interest for the history of logical reasoning. It is important for philosophers because it is often thought to be a devastating argument to Plato’s theory of Forms. Some philosophers have even viewed Aristotle’s theory of predication and the categories as inspired by reflection on it [Owen 1966]. For the historians of logic it is attractive, because of the phenomenon of self-reference that involves. Bocheński denies (...) any possibility of correct logical reasoning before Aristotle. In particular, he flatly declares of Plato that “correct logic we find none in his work” [1951, 15]. In this line, many papers have been written that call attention to the violation of a metalogical principle – the type rules – because of the Third Man Paradox. The problem of interpretation of the paradox raised many discussions, since the 50’s, and the literature devoted to this topic is today enormous. Nevertheless, many points in Plato’s reasoning remain obscure. Hitherto, it is commonly believed that the paradox was simply stated by Plato in his "Parmenides", but not actually solved. Even more, it is believed that it is hardly possible for Plato to have suggested a solution, because he confused the categories of substance and attribute. B. Russell has also argued that Plato violates in his arguments the restrictions imposed on language by the theory of logical types. This view is encouraged by the linguistic difficulties, which Plato has faced in his attempt to formulate an ontology of abstract entities, i.e. that in Greek language abstract and concrete terms are formally indistinguishable [Kneales 1984]. In this paper, we analyse the logical structure of the argument in an attempt to give a systematic consistent reconstruction of the text appealing to methods and concepts of modern logic and semantics. Already in 1954 G. Vlastos had noted in his seminal paper “The ‘Third Man’ Argument in the Parmenides” that “if any progress … is to be made at this juncture it must come from some advance in understanding the logical structure of the Argument”. Accordingly, our analysis is primarily focused on the line of logical reasoning, rather than the metaphysical underpinnings and philosophical implications of the paradox for Plato’s theory of Forms. We divide the Platonic text into three parts, presenting apparent thematic coherence: a) Formulation of the Third Man Paradox (132a-132b). The central issue of this part is a step-like generation of Forms that can continue ad infinitum. b) Discussion of the paradoxical situation (132b-c), by passing to the use of terminology echoing Eleatic philosophy. The concept of “thought” and the underlying semantics of Eleatic origin are central in this passage. c) Solution of the paradox (132d-133a). In our view, this part contains not only a resemblance regress, as most interpretators con-sider, but also the solution of the paradox by the introduction of a sound definition of the concept of “similarity”. We should note that the name ‘Third Man Paradox’ never occurs in Plato, who, strictly speaking, formulates a ‘Third Large Paradox’. The name ‘Third Man Paradox’ appears in the works of Aristotle and the commentators of the Peripatetic tradition. Later commentators have identified Aristotle’s Third Man with Plato’s Third Large Argument. In our paper, we also examine other testimonies about the Third Man Paradox found in the works of commentators in order to illuminate the logical structure of the argument. Although the vocabulary used in these versions is different, they do not affect its logical structure, but rather reveal different understandings by the ancient authors. These testimonies are divided into two main categories: those met in Neo-Platonic authors, notably in Proclus’ "Commentary on Plato’s Parmenides", and the versions of the Third Man Paradox found in texts of the Peripatetic tradition (Eudemus, Aristotle, Alexander). From our discussion, it becomes clear that the approaches to the paradox by the various scholars of antiquity are different, depending also on their participation in the one or the other campus of philosophical thought. We show that the Peripatetic authors are aware of the source of the paradox. However, the first scholar of antiquity who explicitly ascribes a solution to Plato seems to be Proclus. (shrink)

Ludwig Wittgenstein, in the "Remarks on the Foundation of Mathematics", often refers to contradictions as deserving special study. He is said to have predicted that there will be mathematical investigations of calculi containing contradictions and that people will pride themselves on having emancipated themselves from consistency. This paper examines a way of taking this prediction seriously. It starts by demonstrating that the easy way of understanding the role of contradictions in a discourse, namely in terms of pure convention within (...) a specific linguistic community, is naive and therefore to be avoided. A number of steps will then be taken to formulate and justify what will be called a ‘containment-account’ of contradiction. This term refers to a way of understanding how a contradiction in a discourse can be contained without allowing it to infect the entire discourse with inconsistency. The account builds on work done by N. Rescher and involves complex ontologies that are either over-determined or under-determined at some points. These worlds are such that, for some P, they allow us to deny simultaneously both that P and that -P. They likewise allow us to hold both that P and that -P. The ontological status of P and that of -P are considered independent issues, so as to block the inference from P and -P to the conjunction (P & -P). In this way, the task of containment is carried out by the complexity of the ontology determining the possible worlds under consideration. The paper proceeds by countering the objection that such possible worlds are useless fictions. This is carried out by highlighting three significant areas of application, one in philosophy of science, one in philosophy of religion, and one in the area of epistemology. In general, one may say that, in some language-games, a contradiction can be a useful instrument to attest that rationality goes beyond ratiocination, in other words to indicate that there is more to discourse and practice than what can be expressed in precise algorithmic trees. The upshot of the entire argument is that the proposed ‘containment-account’ of contradiction can be an adequate illustration of how Wittgenstein’s prediction is not sterile, but a possible source of inspiration. (shrink)

I discuss some reservations about the exegetical power of the claim that the Tractatus is “anti-metaphysical.” The “resolute” reading has the virtue of fidelity to important and neglected features of the work, both its anti-metaphysical moves and its account of the nature of the activity of philosophy and its status. However, its proponents underestimate the barriers to maintaining a consistent fidelity to these features of the text. The image of a ladder suggests a mere instrumental means to arrive at a (...) place that can itself be characterized independently of our means of arrival; where we arrive via the process of the TLP is the conclusion of an argument, and so cannot be characterized independently of the argument that got us there. In his commitments about the process of logical analysis “within language,” he strives as much as in his statements about the world to return us to our ordinary ways of talking and making sense of what we say to one another. Given the internal relationship Wittgenstein is at pains to emphasize between language, thought, and reality, he could hardly have philosophical commitments about one of these terms (have a residual metaphysics of language) and isolate this from how he thinks about the others. In a discussion of “Senator, you’re no Jack Kennedy” and “Chairman Mao is rare,” I argue that, pace Conant and Diamond’s claims to the contrary, logical categories are being invoked to explain why one cannot mean what one thinks one means in this phrase, and that Wittgenstein is both more anti-metaphysical in his treatment of these logical categories (in contrast with Frege) than the resolute readers consider him to be, and less successful in his treatment of how logical categories rule our judgments of sense and nonsense than they imply he is. Finally, I question the sharp boundary between logic and psychology and the “claustrophobic” feel that is created by a narrow construal of what one can make sense of in another’s words and person that underwrites their account of nonsense via a conflict between the meaning words can contain and our confused desires. Throughout, I discuss relevant passages of the Investigations that resolute readers treat as a re-expression of the themes of the Tractatus, to contrast the “anti-metaphysical” treatment these themes express in the Tractatus with the less dogmatic treatment they receive in the Investigations. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps, and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may (...) freely copy and distribute this work, as no entity has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Some philosophers have argued that Wittgenstein’s hinges, the centrepiece of his book On Certainty, are the “ungrounded ground” on which knowledge rests. It is usually understood by this that hinges provide a foundation for knowledge without being themselves epistemically warranted. In fact, Wittgenstein articulates that hinges lack any truth-value and are neither justified nor unjustified. This inevitably places them wholly outside the categorial framework of JTB epistemology. What I call the “groundlessness interpretation”, inspired by OC 166, understands the (...) fundamental pieces of our cognitive scaffolding this way. The view has been largely successful. I argue that this interpretation is incomplete for two basic reasons: first, it is not based on undisputed evidence; second, by assuming that hinges are committed to reality by epistemic fiat, it looks as if Wittgenstein is asking us to blindly trust them regardless of their actual content. Contrary to this, I argue that Wittgenstein describes hinges as illuminating world-pictures that reflect reality and are answerable to facts in a derivate way. As the book shows, hinges originate in our engagement with reality and, while considered unquestionable, could be challenged, reassessed, and replaced by new ones. This indicates that hinges are both the result of knowledge-acquisition and somewhat continuous with one’s set of beliefs. It follows that hinges are ultimately rational, and so, apt instruments to confront scepticism. (shrink)

Traditional accounts hold that reference consists in a relation between the mind and an object; the relation is effected by a mental act and mediated by internal mental contents (internal representations). Contemporary theories as diverse as Fodor’s [Fodor, J.A., 1987. Psychosemantics: The Problem of Meaning in the Philosophy of Mind. MIT Press, Cambridge, MA] language of thought hypothesis, Dretske’s [Dretske, F., 1988. Explaining Behaviour: Reasons in a World of Causes. MIT Press, Cambridge, MA] informational semantics and Millikan’s [Millikan, R.G., 1984. (...) Language, Thought and Other Biological Categories: New Foundations for Realism. MIT Press, Cambridge, MA] teleosemantics share this act– content–object picture (which was also held by several early modern philosophers, in particular Locke). The core of the traditional view is the thesis that reference and intentionality are relational (‘thesis RR’). Although deeply problematic, RR is entrenched also in psychology, linguistics, cognitive science and Artificial Intelligence. Using for the most part arguments employed by Wittgenstein, we mount a case against RR and advance a deflationary account of reference and intentionality according to which neither is relational. (shrink)

At first glance, it might seem an odd pairing: the Analects and Wittgenstein. Comparison between a classical Chinese philosophical text, whose primary topics were the cultivation of xiao and he, and the corpus of an early to mid-twentieth-century Austrian philosopher, whose primary topics had to do with logic, language, and the nature of philosophy, does not obviously recommend itself. Yet, I contend in this article that there is much to be gained from careful comparison between these two very different (...) pictures of philosophy, particularly where it comes to the practices of clarifying that which is confused or obscured. This study will aid primarily in developing Wittgensteinian... (shrink)

Research and publications on Wittgenstein and on the Vienna Circle of Logical Empiricism have been steadily increasing in recent decades. Nevertheless, detailed comparisons between the single famous philosopher and the influential circle around Moritz Schlick are less often undertaken. To be sure, the reception and impact of Wittgenstein’s Tractatus (TLP) on the Vienna Circle is a familiar topic as are the conversations Wittgenstein had with Schlick and Waismann. This introductory essay suggests that a broader focus be (...) adopted. The first part provides an overview of the multi-faceted Vienna Circle based on recent historiography and primary sources; the second part offers a new perspective on the complex relations between Wittgenstein and the Vienna Circle. To this end, a case study of a central relevant document is provided, namely of Rose Rand’s “Development of the Theses of the ‘Vienna Circle’” (1932/33). A close reading of this unique source sheds new light on the central philosophical triangle of Wittgenstein-Schlick-Waismann and opens up new avenues for future analyses. These considerations are offered to provide a thematic frame for the papers contained in this volume documenting the international conference on “Wittgenstein and the Vienna Circle”, held in Vienna, June 2021 to mark the centenary of the publication of Wittgenstein’s Logisch-philosophische Abhandlung (1921) / Tractatus Logico-Philosophicus (1922). (shrink)

The author compares Frege's theory of sense and reference with Wittgenstein's Tractatus theory of "logical picturing through language." The aim of Frege's theory, according to Carl, is to arrive at a concept of judgment suitable for his logic and at a satisfactory account of the relation between thought and truth. In all this, Frege uses both linguistic and epistemological reflections. Wittgenstein's interest is different: his theory is concerned with the relation between language and reality, his concept of (...) truth is one of correspondence. The words "Sinn" and "Bedeutung" stand, in Tractatus, for the objective "correlates" of sentence and name respectively. The Sinn of a sentence is a function of the Bedeutung of the names occurring in it. Sentences have Sinn, words have Bedeutung. According to Carl, Frege and Wittgenstein ask different questions and pursue different explanatory goals. Frege's problem, unlike Wittgenstein's, is oriented by a Kantian understanding of the nature of scientific knowledge. That for Frege the Sinn is the fact that is represented in a sentence, points on the one hand to Frege's basically epistemological interest and, on the other, to Wittgenstein's linguistic-ontological concern. Tractatus gives a version of correspondence theory, which Frege explicitly rejects; just as Frege's concern with assertion and judgment are rejected by Wittgenstein as being of no logical importance. In spite of these fundamental differences in orientation, they do have, according to Carl, common theories and thematic interconnections. Both connect the idea of Sinn with understanding of linguistic expressions, both have a functional interpretation of the sense or the reference of complex expressions. Both accord centrality to the concept of truth. (shrink)

This volume contains nine essays published between 1980 and 1997 by Klaus Düsing, the director of Cologne’s Husserl-Archiv. It is divided in four parts: theoretical philosophy in transcendental idealism; theory of subjectivity and metaphysics in speculative idealism; ethics and theory of freedom; and idealistic aesthetics. It is, however, focused in its entirety on the notion of subjectivity from Kant to Heidegger. Philosophical discussions about subjectivity or self-consciousness are enjoying a renewed success, as Düsing notes in his introductory essay on the (...) notion of subjectivity in classical and contemporary German philosophy. But this comes after a long period of dearth, during which it was mainstream to decompose the unity of the self-consciousness into a complex of conscious or preconscious lived experiences. Düsing does not question the nature of the brain; his wish is to take a stance on what separates consciousness from self-consciousness or spirit, which English speakers might want to think of also in terms of mind. Obviously, Kant and Hegel come handy for such an endeavor. In fact, the basis of all contemporary theories of self-consciousness and subjectivity is provided by Kant’s theories of apperception and imagination. Kant does not conceive of thinking as an anonymous process. He insists on the “I think,” namely, on the unity of self-consciousness. Kant did not, however, specify how is it possible for logical forms and categories to think through this “I think,” which is their constitutive center of origin. In other words, how can both pure logic and the theory of pure subjectivity claim to be founding elements, if they cannot be opened up by thought itself? The young Fichte and the young Schelling based their philosophical attempts on an interpretation of the theory of subjectivity in terms of transcendental idealism, which, however, leaves unexplained how one should provide a scientific treatment for transcendental idealism that implies those determinations and laws of pure logic that transcendental idealism cannot do without. (shrink)

The text of The Tractatus supports incompatible interpretations of a number of key philosophic positions. For example, the book is neither obviously nominalistic nor obviously realistic. Another difficulty is presented by the apparent. incompatibility of Wittgenstein's theses that propositions are logical pictures of facts, and that propositions are truth-functions of elementary propositions. There are several places in The Tractatus where these two doctrines meet head on, but the central one is the set of passages 5.54-5.5422. This paper is (...) an exegesis of these passages and a sketch of Wittgenstein's theory of judgement.In Tractatus 5.54 - 5.5422, Wittgenstein argues that statements of belief, judgement, thoughts and the like are not incompatible with the principle of finite extensionality. The passages contain a brief but obscure reductio on the possibility of non-extensional contexts, and several no less obscure corollaries. In this paper I shall explicate the content of the reductio, criticise a common but mistaken view of these passages, and draw out the consequences of some major doctrines in the Tractatus for Wittgenstein's Theory of Judgement. (shrink)

The monograph is an English, expanded and revised version of the book Cheshko, V. T., Ivanitskaya, L.V., & Glazko, V.I. (2018). Anthropocene. Philosophy of Biotechnology. Moscow, Course. The manuscript was completed by me on November 15, 2019. It is a study devoted to the development of the concept of a stable evolutionary human strategy as a unique phenomenon of global evolution. The name “An Evolutionary Metaphysics (Cheshko, 2012; Glazko et al., 2016). With equal rights, this study could be entitled “Biotechnology (...) as a result and factor of the evolutionary processˮ. The choice in favor of used “The Evolutionary Metaphysics of Human Enhancement Technologiesˮ was made in accordance with the basic principle of modern post-academician and human-sized science, a classic example of which is biotechnology. The “Metaphysics of Evolution” and “Evolutionary Metaphysics” concepts are used in several ways in modern philosophical discourse. In any case, the values contain a logical or associative reference to the teleological nature of the evolutionary process (Hull, 1967, 1989; Apel, 1995; Faye, 2016; Dupre, 2017; Rose, 2018, etc). In our study, the “evolutionary metaphysics” serves to denote the thesis of the rationalization and technologization of global evolution and anthropogenesis, in particular. At the same time, the postulate of an open future remains relevant in relation to the results of the evolutionary process. The theory of evolution of complex, including the humans system and algorithm for its constructing are а synthesis of evolutionary epistemology, philosophical anthropology and concrete scientific empirical basis in modern science. ln other words, natural philosophy is regaining the status bar element theoretical science in the era of technology-driven evolution. The co-evolutionary concept of 3-modal stable evolutionary strategy of Homo sapiens is developed. The concept based оn the principle of evolutionary complementarity of anthropogenesis: value of evolutionary risk and evolutionary path of human evolution are defined bу descriptive (evolutionary efficiency) and creative-teleological (evolutionary correctness) parameters simultaneously, that cannot bе instrumental reduced to others ones. Resulting volume of both parameters define the vectors of blological, social, cultural and techno-rationalistic human evolution Ьу two gear mechanism genetic and cultural co-evolution and techno-humanitarian balance. The resultant each of them сап estimated Ьу the ratio of socio-psychological predispositions of humanization / dehumanization in mentality. Explanatory model and methodology of evaluation of creatively teleological evolutionary risk component of NBIC technological complex is proposed. Integral part of the model is evolutionary semantics (time-varying semantic code, the compliance of the blological, socio-cultural and techno-rationalist adaptive modules of human stable evolutionary strategy). It is seem necessary to make three clarifications. First, logical construct, “evolutionary metaphysics” contains an internal contradiction, because it unites two alternative explanatory models. “Metaphysics”, as a subject, implies deducibility of the process from the initial general abstract principle, and, consequently, the outcome of the development of the object is uniquely determined by the initial conditions. Predicate, “evolutionary”, means stochastic mechanism of realizing the same principle by memorizing and replicating random choices in all variants of the post-Darwin paradigm. In philosophy, random choice corresponds to the category of “free will” of a reasonable agent. In evolutionary theory, the same phenomenon is reflected in the concept of “covariant replication”. Authors will attempt to synthesize both of these models in a single transdisciplinary theoretical framework. Secondly, the interpretation of the term “evolutionary (adaptive) strategyˮ is different from the classical definition. The difference is that the adaptive strategy in this context is equivalent to the survival, i.e. it includes the adaptation to the environment and the transformation (construction) of the medium in accordance with the objectives of survival. To emphasize this difference authors used verbal construction “adaptiveˮ (rather than “evolutionaryˮ) strategy as more adequate. In all other cases, the two terms may be regarded as synonymous. Thirdly, the initial two essays of this series were published in one book in 2012. Their main goal was the development of the logically consistent methodological concept of stable adaptive (evolutionary) strategy of hominines and the argumentation of its heuristic possibilities as a transdisciplinary scientific paradigm of modern anthropology. The task was to demonstrate the possibilities of the SESH concept in describing and explaining the evolutionary prospects for the interaction of social organization and technology (techno-humanitarian balance) and the associated biological and cultural mechanisms of the genesis of religion (gene-cultural co-evolution). In other words, it was related to the sphere of cultural and philosophical anthropology, i.e. to the axiological component of any theoretical constructions describing the behavior of self-organizing systems with human participation. In contrast, the present work is an attempt to introduce this concept into the sphere of biological anthropology and, consequently, its main goal is to demonstrate the possibility of verification of its main provisions by means of procedures developed by natural science, i.e. refers to the descriptive component of the same theoretical constructions. The result of this in the future should be methods for assessing, calculating and predicting the risk of loss of biological and cultural identity of a person, associated with a permanent and continuously deepening process of development of science and technology. (shrink)

Wittgenstein’s philosophy of mathematics is often devalued due to its peculiar features, especially its radical departure from any of standard positions in foundations of mathematics, such as logicism, intuitionism, and formalism. We first contrast Wittgenstein’s finitism with Hilbert’s finitism, arguing that Wittgenstein’s is perspicuous or surveyable finitism whereas Hilbert’s is transcendental finitism. We then further elucidate Wittgenstein’s philosophy by explicating his natural history view of logic and mathematics, which is tightly linked with the so-called rule-following problem (...) and Kripkenstein’s paradox, yielding vital implications to the nature of mathematical understanding, and to the nature of the certainty and objectivity of mathematical truth. Since the incompleteness theorems, foundations of mathematics have mostly lost their philosophical driving force, and anti-foundationalism has become prevalent and pervasive. Yet new foundations have nevertheless emerged and come into the scene, namely categorical foundations. We articulate the foundational significance of category theory by explicating three forms of foundations, i.e., global foundations, local foundations, and conceptual foundations. And we explore the possibility of categorical unified science qua pluralistic unified science, arguing for the categorical unity of science on both mathematical and philosophical grounds. We then turn to an issue in conceptual foundations of mathematics, namely the nature of the concept of space. We elucidate Wittgenstein’s intensional conception of space in relation to Brouwer’s theory of space continua and to the modern conception of space as point-free structure in category theory and algebraic geometry. We finally give a bird’s-eye view of mathematical philosophy from a Wittgensteinian perspective, and further sheds new light on Wittgenstein’s constructive structuralism and his view of incompleteness and contradictions in mathematics. (shrink)

Wittgenstein’s philosophy of mathematics is often devalued due to its peculiar features, especially its radical departure from any of standard positions in foundations of mathematics, such as logicism, intuitionism, and formalism. We first contrast Wittgenstein’s finitism with Hilbert’s finitism, arguing that Wittgenstein’s is perspicuous or surveyable finitism whereas Hilbert’s is transcendental finitism. We then further elucidate Wittgenstein’s philosophy by explicating his natural history view of logic and mathematics, which is tightly linked with the so-called rule-following problem (...) and Kripkenstein’s paradox, yielding vital implications to the nature of mathematical understanding, and to the nature of the certainty and objectivity of mathematical truth. Since the incompleteness theorems, foundations of mathematics have mostly lost their philosophical driving force, and anti-foundationalism has become prevalent and pervasive. Yet new foundations have nevertheless emerged and come into the scene, namely categorical foundations. We articulate the foundational significance of category theory by explicating three forms of foundations, i.e., global foundations, local foundations, and conceptual foundations. And we explore the possibility of categorical unified science qua pluralistic unified science, arguing for the categorical unity of science on both mathematical and philosophical grounds. We then turn to an issue in conceptual foundations of mathematics, namely the nature of the concept of space. We elucidate Wittgenstein’s intensional conception of space in relation to Brouwer’s theory of space continua and to the modern conception of space as point-free structure in category theory and algebraic geometry. We finally give a bird’s-eye view of mathematical philosophy from a Wittgensteinian perspective, and further sheds new light on Wittgenstein’s constructive structuralism and his view of incompleteness and contradictions in mathematics. (shrink)