This chapter contains sections titled: “The world is everything that is the case” The Substance of the World Logical Atomism “The proposition only asserts something, in so far as it is a picture” A Very Short History of Logical Atomism Wittgenstein's Motivations The Critique of Logical Atomism Coda Further reading.

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 9.2 (2002) 131-136 [Access article in PDF] Language, Logic, and Recovery:A Commentary on van Staden Paul Falzer and Larry Davidson Keywords: analytic philosophy, experience, Frege, ordinary language, psychosis, psychotherapy. VAN STADEN'S PAPER, "Linguistic Markers of Recovery," takes on a formidable task. As he explains it, findings from a previously conducted empirical study suggest that recovery from a psychiatric condition can be predicted by certain patterns (...) of first person pronoun usage. His current paper explains how these patterns follow the mathematical logic of Gottlob Frege. van Staden's attempt to systematize the link between language and treatment outcome shows promise. We want to support his effort by raising a few caveats about the application of foundational systems in psychiatry and psychology, particularly the advisability of employing a logical system to explain recovery from mental illness. Along the way, we will be identifying related issues that the author may elect to take up in his future work.van Staden's proposal is inspired by Frege's logical system, but the paper is, at the very least, an innovative adaptation. There are various points where we are left to wonder just how much of this proposal is really Frege's. Nevertheless, the genesis of van Staden's ideas is so dependent that one would expect a fuller account of Frege's pivotal role in the development of modern logic, how his work precipitated what is known commonly as the linguistic turn, and why a logical system that was so well received when first articulated was eclipsed so quickly by Russell's Principia (1963) and Wittgenstein's Tractatus. (1981) These issues can be addressed separately and perhaps they should, because lacking an account of how Frege's philosophy developed and evolved makes the presentation appear somewhat sketchy and incomplete.Frege is portrayed in philosophical lore as the founder of modern logic and a pioneer of the movement that later became known as analytic philosophy. Dummett (1991) regards Frege's Foundations of Arithmetic (1968) as analytical philosophy's first work (p. 111). According to Quine (1955), "All modern logic owes an incalculable debt to Frege. If anyone can be singled out as the founder of mathematical logic, it is by all odds he" (p. 158). Rorty (1967) notes that analytic philosophy's tack of construing philosophical questions as turning on language use and construction challenges the entire tradition, from Parmenides forward. However, the challenge reaches fruition not in Frege, but in works of Moore, Wittgenstein, and Austin. Rather than [End Page 131] sharing the limelight with the great analytic philosophers, Frege has become somewhat of a peripheral figure, whose contribution is usually portrayed as transitional. In some respects, analytic philosophy was moving against Frege's, and later, Russell's logical systems as it was concomitantly countering the various strands of idealism expounded principally by Bradley and McTaggart (see Hacker 1996, 5-12). Almost from the outset, Fregean logic was caught in a cross fire, and the author is obligated to tell us why we should be attending to the pristine version and not the more fully developed approaches that came soon after.Such a justification undoubtedly would begin with the dictum most central to Frege's philosophical thought, that propositions are primary. For Kemp (1998), this declaration carries two interrelated implications: Logical propositions are the real bearers of truth and falsity, and reasoning is a movement from one judgment to another (see p. 218). Frege posits that propositions are independent of mind, grammar, and language use. Knowledge and cognition are embodied in, but do not predicate, judgment. Frege adamantly rejects the notion that philosophical concepts are grounded in psychological phenomena, such as perception, sense impression, and some traditional accounts of meaning. This is the doctrine known as psychologism, and Frege abjures the suggestion that psychology can contain the sciences or adjudicate their findings (Frege 1956; for a discussion of this doctrine, see Notturno 1989; Davidson 1988; Davidson and Cosgrove 1991). The dictum that propositions are primary dispels the commonly held idea that reasoning begins with perception and proceeds... (shrink)

Logical Atomism is a philosophy that sought to account for the world in all its various aspects by relating it to the structure of the language in which we articulate information. In _The Philosophy of Logical Atomism,_ Bertrand Russell, with input from his young student Ludwig Wittgenstein, developed the concept and argues for a reformed language based on pure logic. Despite Russell’s own future doubts surrounding the concept, this founding and definitive work in analytical philosophy (...) by one of the world’s most significant philosophers is a remarkable attempt to establish a novel way of thinking. (shrink)

In 1929 Wittgenstein began to work on the first philosophical manuscripts he had kept since completing the Tractatus Logico-Philosophicus in 1918. The impetus for this was his conviction that the logic of the TLP was flawed: it was unable to account for the fact that a proposition that assigns a single value on a continuum to a simple object thereby excludes all assignments of different values to the object . Consequently Wittgenstein's "atomic propositions" could not be logically independent of one (...) another. ;Initially he thought he could replace the "logically perfect language" of the TLP with a "phenomenological language" in which experiential propositions about various "spaces" would form systems. The system described by a phenomenological language would be independent of the one described by ordinary "physicalistic" language; the physical "world" was known only by inference from the phenomenological. But he soon realized there was a fundamental error in this conception: phenomenology has to describe the same world as physics or it fails to provide a foundation for it. This suggests that there is only one world, and one language with two different modes of expression. Wittgenstein's now comes to his fundamental insight: ordinary language is biased towards the description of physical objects and their relations, but it is our only method of expressing phenomenological or abstract concepts. Failure to recognize this difficulty leads to the misapplication of physicalistic concepts, i.e., to grammatical errors. ;This insight had the following impact: the task of philosophy is not to invent logical or phenomenological languages, but to understand the grammar of ordinary language; the notion of a language of pure experience was itself connected with a false, physicalistic idea of the soul as an observer of a private world; the conception of analysis that had guided philosophy since Frege was based on a misused metaphor taken from the grammar of physics: the analysis of an object into its parts or chemical constituents. These ideas reach their ultimate expression in Wittgenstein's Philosophical Investigations. Thus his "later" work actually begins with these 1929--30 manuscripts. (shrink)

The notion of forms of life points to a crucial aspect of Wittgenstein’s philosophical approach that challenges an influential line in the philosophical tradition. He portrays intellectual activities in terms of a cohesion of things held together in linguistic scenes rooted in the lives of people and the facts of the world. The original inspiration with which Wittgenstein worked on this approach is still relevant today in the recent technological turn associated with AI. He attacked a conception that (...) treated human activities as material to be examined by external models of rationality. Along with other modernists such as Musil, he saw the danger of losing faith in human intellectual and moral capacities. In contrast, Wittgenstein elucidates and substantively defends an idea of forms of life in which the great normative enterprises, from science to the works of the imagination, are based on our individual capacity to take the next step from a normative authority that rests entirely with us, as agents who can claim it in the name of others, in the name of arithmetic, in the name of our native language, in the name of justice, and so on. Forms of life are the place to look to claim this authority over the mistrust we feel compelled to cultivate in our human endeavors. (shrink)

Wittgenstein's middle period work has been brought into the current debate on rule following and representation by Kripke and the Hintikkas. In my dissertation, I argue that approaches which aim at a consistent reconstruction of Wittgenstein's argument, while valuable in their own right, fail to do justice to his focus on the conflicting intuitions that lie behind philosophical theory building. For this hidden and ambiguous side to his thought is the turning point in his philosophical development. ;One can summarise (...) my findings as follows: In 1929, Wittgenstein recognised that the analysis of colour propositions forced him to give up the Tractarian doctrine that analysis must end in logically independent elementary propositions. From this point, his work branched out in two main directions. On the one hand, he worked on 'philosophical grammar': analyses of the rules we follow in talking about such matters as colour, visual experience, intention, time, memory and the philosophical subject. Here, the picture theory provided the basis for an account of how the mind represents the world. On the other hand, he also thought of language as a 'secondary' system, to be contrasted with direct apprehension of the 'primary' phenomena. This view, which is set out most fully in several chapters of an unpublished typescript , led to a seemingly inexpressible solipsism on which 'all is in flux.' The attempt to reconcile the two conceptions of the pictorial analogy--language as a system of representational conventions and experience as a direct presentation of the phenomena--ultimately led him to see the dangers in that analogy and thus to his later notion of a 'philosophical picture.'. (shrink)

This article presents an edited version of lectures given by Paul Ricœur at Johns Hopkins University in April 1966. Ricœur offers a comparative analysis of Wittgenstein’s and Husserl’s late works, taking the problem of language as the common ground of investigation for these two central figures of phenomenology and analytic philosophy. Ricœur develops his study in two parts. The first part considers Husserl’s approach to language after the Logical Investigations and concentrates on Formal and Transcendental Logic ; leaving a (...) transcendental reflection on language behind it re-examines a phenomenological conception, according to which the sphere of logic is not separable from that of experience. The main focus of the second part is Wittgenstein’s later philosophy as it moved on from the conception of an isomorphic relation between language and the world, as set out in the picture theory in the Tractatus Logico-Philosophicus , to the more pragmatic notion of a language-game in the Philosophical Investigations . In order to get beyond the irrevocable differences between the two philosophies and the unresolved theoretical issues on both sides, Ricœur suggests turning to a semiological paradigm based on the Saussurean distinction between “language” and “speaking.” Keywords: Analytic Philosophy, Husserl, Phenomenology, Semiology, Wittgenstein. Résumé Cet article est une version éditée de conférences données par Paul Ricœur à la Johns Hopkins University en avril 1966. Ricœur propose une analyse comparée des dernières œuvres de Wittgenstein et Husserl, avec le problème du langage comme sol commun d’investigations pour ces deux figures centrales de la phénoménologie et la philosophie analytique. Cette analyse de Ricœur se joue à travers deux parties. La première partie revient sur l'approche du langage chez Husserl depuis Recherches logiques avec une attention particulière aux développements de Logique formelle et logique transcendantale ; dans le cadre d’une réflexion transcendantale sur le langage il revient sur une conception phénoménologique selon laquelle, le domaine du logique n’est pas séparable de celui de l'expérience. La deuxième partie se concentre principalement sur la dernière philosophie de Wittgenstein alors qu’il s'est départi de l’idée d’une relation isomorphique entre le langage et le monde telle que posée par la théorie du tableau dans le Tractatus logico-philosophicus , pour s’engager vers la notion plus pragmatique de jeu de langage dans les Investigations philosophiques . Afin de surmonter les différences irrémédiables entre les deux philosophies et, dans une certaine mesure, certains des problèmes théoriques non résolus depuis les deux bords, Ricœur fait finalement référence à un paradigme sémiologique et à la distinction saussurienne entre “langue” et “parole.” Mots-clés: Husserl, phénoménologie, sémiologie, philosophie analytique, Wittgenstein. (shrink)

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)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Signs of Logic: Peircean Themes on the Philosophy of Language, Games, and CommunicationRobert W. BurchAhti-Veikko Pietarinen Signs of Logic: Peircean Themes on the Philosophy of Language, Games, and Communication Dordrecht, The Netherlands: Springer, 2006. xiv + 496 pp.This compendious volume of fourteen of Pietarinen's essays on Peirce, plus a three-page set of "Final Words" relating to the work of Robert Aumann, is a "must-have" for both the Peirce (...) scholar and any other philosopher who wishes to relate Peirce's thinking on language and logic to other major thinkers and logical themes of the twentieth century (and beyond). The essays extend or complement discussions of Peirce's logic and philosophy of language that have come to be expected from the "Finnish school" of philosophers, which includes Hintikka and Hilpinen, as well as Pietarinen.Nine of the essays (Chapters 3, 4, 5, 7, 8, 10, 12, 13, and 14), comprising about two-thirds of the entire book, are revised and expanded versions of essays that Pietarinen has previously published. The remaining one-third (approximately) of the book is brand new. Chapters 1 and 2 serve as general introductions to the book's major interests. Chapter 6 is on evidence for constructivism in Peirce, as well as several other topics. Chapter 9 compares Peirce's ideas with Wilfred Hodges's "dialogue foundations" and contains a small philosophical dialogue, which has Peirce, Wittgenstein, and Hodges as its characters. Chapter 11 concerns evolutionary semantics and language [End Page 577] games. And the cursory Chapter 15 of "Final Words" predicts that the game-theoretical approach to semantics and Peirce scholarship has an exploding future, like an erupting volcano.From the foregoing one can gather, correctly, that each essay in the book is separately conceived and that the book is not a single continuous line of argumentative development of one or even of a few themes. Still, the essays are similar to one another in two ways, which ways are closely related to each other. First, they all concern the Peircean doctrine that semeiotic and semeiosis constitute the heartland of logic, and that this heartland is vastly richer than the sort of pure mathematical calculi that might mistakenly be taken for logic itself (and were in fact so taken for much of the twentieth century). Second, they all deal with the Peircean insistence that semeiosis is inherently a form of Praxis in which interchanges occur between or among various "agents" or "actors," one of which might be nature itself; so that at the very least logic is dialogic, and so that more generally one may justifiably speak of semeiosis as involving something like a "game." These lines of exploration will surprise no seasoned Peirce scholar, but the special genius of the Finnish "school" of Peirce interpretation from Hintikka forward is to have spotlighted in dramatic fashion the game-theoretical nature of many elements in Peirce's semeiotic.In these essays Pietarinen amply exhibits two attainments of mind that are indispensable for the serious Peirce scholar. One is the object of what we might call "The Eisele Imperative" after the vehement urgings of Carolyn Eisele: this is the possession of some significant degree of sophistication in mathematics. Pietarinen's mathematical skills are plainly sufficient for his discussions of logic and game theory. For example, his Chapter 5 is an excellent technical discussion of Peirce's existential graphs, and his Chapter 7 is an admirable technical discussion of certain aspects of game theory and generalized quantifiers. Another crucial skill needed by the serious Peirce scholar is the object of what we might call "The Pietarinen Corrective" after the practices exemplified in these essays: this is the possession of extremely broad knowledge of recent and contemporary philosophy, especially philosophy of language, logic, metaphysics, epistemology, and philosophy of science.Indeed, the breadth of Pietarinen's acquaintance with twentieth century logic and philosophy of language, both "analytic" and "continental," is breathtaking. This allows him scope for comparisons of Peirce's views with an extraordinarily wide, and not always easily anticipated, range of philosophers and philosophic traditions. Pietarinen's range of reference is so extensive that it would be pointless to attempt to discuss in... (shrink)

There is no immediate knowledge, neither empirical nor conceptual. Hegel shows this in his Phenomenology of Spirit. He develops this most important insight in his writings on logic. Science is the project of developing situation-independent generic sentences – which are not to be confused with universally quantified empirical statements. Rather, the sentences articulate law sor rules of default inference and proper judgment in a generic way. They are set as “conceptually valid” not only on merely verbal or conventional grounds, (...) but are “material” in their world-relation. In other words, science develops “the concept” which, in turn, enables us to understand, i.e. to use languages and to think about reality and possibilities more or less correctly. “The concept” is, therefore, the system of generic conditions of all “meaning” and “truth” and is, as such, presupposed in empirical judgments of the category of singularity. “Reason” is the subjective side of “spirit”, which, in turn, is nothing but our practice of scientific development. If we look at this practice from within, spirit is the “self-development” of conceptual contents. Moreover, any causal explanation and any appeal to forces or dispositions rest on conceptual constructions of generic models. This is the core claim of Hegel’s idealism with respect to causes and grounds by which we “explain” appearances: The underlying “Wirklichkeit” is our own scientific construction suited to our joint experiences. (shrink)

I here defend logical atomism. This defense rests on reinterpreting logical atomism as a search for logical forms. This reinterpretation has two parts comprising six chapters. In the first part, I do some historically-driven recovery. In the introduction, I review the literature on Russell's logical atomism. In Chapter 1, I argue that the dominant interpretation of logical atomism is wrong on historical grounds: it accounts for neither the history of logical (...) atomism nor for crucial elements of the logical atomist texts. In Chapter 2, I then use Russell's writings to recover what I argue is the core of logical atomism. I explicate the critical notions and essential ingredients of logical atomism using "Principia Mathematica" as the archetype of logical atomism. I argue that logical atomsts are term busters. The essential ingredient of a logical atomist's term busting practice is a higher-order logic with the power of impredicative comprehension. In Chapter 3, I discuss the widespread view that Wittgenstein held a version of logical atomism. Focusing on his pre-"Tractatus" writings and changes in his earlier views, I argue that Wittgenstein embraced a philosophy of logic incompatible with emulating impredicative comprehension in April 1914. As such, Wittgenstein was a logical atomist, if ever, in October 1913, possibly through April 1914. In the second part, having clarified what logical atomism is, I present a modern logical atomism. In Chapter 4, I develop a philosophy of logic for logical atomism based on the notion of a pure logic. I critically discuss normativity in logic, the epistemology of pure logic, and logical pluralism. In Chapter 5, I propose a formal logic for logical atomism. I argue for the logic of logical atomism being an infinitely-descending and infinitely-ascending simple type theory with impredicative comprehension compatible with a domain empty of particulars. In Chapter 6, I critically discuss what the ontology of logical atomism should be, that is, what the ontology of the logical atomist's logic must be. This includes an ontology of logical concepts and of logical forms as completely-general, necessarily-existing logical facts with no constituents. I conclude by indicating avenues for new work on logical atomism. (shrink)

The limit of language is one of the most pervasive notions found in Wittgenstein's work, both in his early Tractatus Logico-Philosophicus and his later writings. Moreover, the idea of a limit of language is intimately related to important scholarly debates on Wittgenstein's philosophy, such as the debate between the so-called traditional and resolute interpretations, Wittgenstein's stance on transcendental idealism, and the philosophical import of Wittgenstein's latest work On Certainty. This collection includes thirteen original essays that provide a comprehensive overview of (...) the various ways in which Wittgenstein appeals to the limit of language at different stages of his philosophical development. The essays connect the idea of a limit of language to the most important themes discussed by Wittgenstein--his conception of logic and grammar, the method of philosophy, the nature of the subject, and the foundations of knowledge--as well as his views on ethics, aesthetics, and religion. The essays also relate Wittgenstein's thought to his contemporaries, including Carnap, Frege, Heidegger, Levinas, and Moore. (shrink)

Working through Balaska’s deeply perceptive, elegantly written, and profoundly honest book, Wittgenstein and Lacan at the Limit, a reader steeped in the recent academic literature about either or both of its main figures may come to feel herself placed at what is, itself, a certain kind of limit. The limit I mean is the limit of a familiar type of theoretical discourse about the constitution and structure of language and subjectivity as Wittgenstein and Lacan treat them: it includes the discourses (...) that seek, for instance, to articulate how language and sense are constituted in the Tractatus, and thus what is really meant by “logical form” and “nonsense” there; or those that aim to comprehend the true relationship of our biological nature to language, culture, and the advent of freedom in Lacan; or, again, those that try to find, in either thinker’s works, the precise location of the delicate logical buttonhole that would alone permit us entry, from within everyday language and life, to the absoluteness of an ineffable beyond. These discourses all treat of language and life, but handle these phenomena at arm’s length, theorizing the structure of each and the form of their relationship in such a way as to establish, ultimately, their mutual convertibility to one another, their mutual absorption into a third, more inclusive term, or adduce translations from the dense theoretical matrices of one thinker’s treatment of them to the other’s. Balaska’s book, doing none of these things, rather succeeds in bringing out how an interconnected reading of the Wittgenstein of the Tractatus and Lacan may speak to and inform our response to a certain kind of experience that is characteristic for both thinkers, and typical as well of those moments and occasions of our lives in which we may find ourselves drawn to reflect on what meaning is and how we relate to it. (shrink)

The purpose of this paper is to bring together two thinkers that are concerned with the limits of what can be said, Wittgenstein and Maimonides, and to explore the sense of the good life and of the mystical to which their therapeutic linguistic work gives rise. I argue that despite the similarities, two different senses of the "mystical" are brought to light and two different "forms of life" are explicated and recommended. The paper has three parts. In the first (...) part, I discuss certain key components in Wittgenstein’s early philosophy and the sense of the mystical to which they give rise. In the second part, I discuss Maimonides’ negative theology and its implications for his conception of the ’via mystica’. I end, with a discussion of the relation between the two ideals and its significance. (shrink)

Wittgenstein’s later remarks on music, those written after his return to Cambridge in 1929 in increasing intensity, frequency, and elaboration, occupy a unique place in the annals of the philosophy of music, which is rarely acknowledged or discussed in the scholarly literature. These remarks reflect and emulate the spirit and subject matter of Romantic thinking about music, but also respond to it critically, while at the same time they interweave into Wittgenstein’s forward thinking about the philosophic entanglements of language (...) and the mind, and also his pervasive pessimism as a philosopher of culture. In this essay I explore and explicate some of the major tenets of this unique position. I argue that Wittgenstein appropriates the Romantic focus on the specificity of musical expression by means of the idea that gesture consists in complex vertical interrelations between language games. Understanding what a musical passage is about logically presupposes a myriad of correlate moves in the entire range of our language-games. Wittgenstein explicates the notion of musical aboutness in terms of intransitive understanding, which expresses an internal relation conjoining musical gesture and our culture, our entire life in practice, whereupon the related concepts cannot be identified independently of the relation which holds them together. Wittgenstein responds to the Romantic focus on the unique knowledge of human life which is afforded by musical experience with his idiosyncratic later notion of Menschenkenntnis. I conclude that, in the context of Wittgenstein’s late work, ineffability pertaining to musical meaning is not a shortcoming, but rather constitutional of the type of games, which admit what Wittgenstein calls ‘imponderable evidence’, or indefiniteness. (shrink)

The article is devoted to the analysis of the theological-academic ontological doctrine of the three types of being formulated within the framework of the Russian theological-academic philosophy of the 19th century. The study of this problem in the context of the general analysis of the phenomenon of theological-academic philosophy allows expanding our understanding of the genesis of Russian philosophy and its religious-philosophical component. The main aim of the article is the historical-philosophical analysis (on the material of philosophical courses (...) of Russian theological academies and original works of professors of academies) of the doctrine about three types of being, which was developed within the framework of the theological-academic philosophy in Russia in the 19th century. The set goal is achieved by means of textual and religious analysis methods, as well as historical-functional, historical-genetic, and comparative research methods. The authors conclude that the specificity of theological-academic philosophizing was determined by confessional affiliation and consisted in its theistic form: the transversal theme of all theological-academic interpretations was the problem of being. Thus, theological-academic ontology took the form of the doctrine of God as an absolute being and the world as its derivative. The theological-academic doctrine of the three types of being and the synthesizing function of the absolute in relation to theological and material being cannot be characterized as quite logical and consistent. The notion of God as an absolute being is conditioned by the aspiration of theological-academic philosophers not to go beyond traditional orthodoxy and is one of the main specific features of theological-academic philosophical interpretations of religious consciousness. At the same time, the historical and philosophical analysis of the works of professors from Russian theological academies allows tracing how the powerful ideological and theoretical potential accumulated in Russian theological academies after their reforms in the 19th century contributed to the development of professional philosophy in Russia, the development of a philosophical categorical apparatus and the systematic formation of Russian philosophical thought. The development of this theme responds to the urgent research tasks of the history of philosophy. Further, this topic is very interesting not only for historians of philosophy but also for historians of religion, historians of orthodoxy, and culturologists. (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)

Wittgenstein's conception of logical and conceptual truth is often thought to rival that of the logical positivists. This paper argues that there are important respects in which these conceptions complement each other. Analyticity, in the positivists' sense, coincides, not with Wittgenstein's notion of a grammatical proposition, but rather with his notion of a tautology. Grammatical propositions can usually be construed as analyticity postulates in Carnap's sense of the term. This account of grammatical and analytic propositions (...) will be illustrated by appeal to logical, conceptual and arithmetic truths. Its consequences for an analysis of corresponding modal notions will be indicated. (shrink)

Giorgio Agamben and Ludwig Wittgenstein seem to have very little in common: the former is concerned with traditional ontological issues while the latter was interested in logics and ordinary language, avoiding metaphysical issues as something we cannot speak about. However, both share a crucial notion for their philosophical projects: form of life. In this paper, I try to show that, despite their different approaches and goals, form of life is for both a crucial notion for thinking ethics and (...) life in-common. Addressing human existence in its constitutive relation to language, this notion deconstructs traditional dichotomies like bios and zoé, the cultural and the biological, enabling both authors to think of a life which cannot be separated from its forms, recognizing the commonality of logos as the specific trait of human existence. Through an analogical reading between both theoretical frameworks, I suggest that the notion of form-of-life, elaborated by Wittgenstein to address human production of meaning, becomes the key notion in Agamben's affirmative thinking since it enables us to consider the common ontologically in its relation to Human potentialities and to foresee a new, common use of the world and ourselves. Giorgio Agamben e Ludwig Wittgenstein parecem ter muito pouco em comum: o primeiro se ocupa de questões ontológicas tradicionais, enquanto o segundo estava interessado na Lógica e na linguagem corrente, evitando os problemas metafísicos como algo de que não podemos falar. No entanto, ambos partilham um conceito crucial para seus projetos filosóficos respectivos: forma de vida. Este artigo tento mostrar que, apesar de seus diferentes enfoques e objetivos, a noção de forma de vida é fundamental no momento de pensar a ética e a vida em-comum. Abordando a existência humana em sua relação constitutiva com a língua, essa noção desconstrói dicotomias tradicionais como bios e zoe, o cultural e o biológico, permitindo-lhes pensar uma vida que não pode ser separada de suas formas, e reconhecendo o caráter comum do logos como o traço específico da existência humana. Através de uma leitura analógica entre ambos quadros teóricos, sugiro que a noção de forma-de-vida, elaborada por Wittgenstein para abordar a produção humana de significados, tornase o conceito-chave do pensamento afirmativo de Agamben, já que nos permite considerar o comum ontologicamente em sua relação com as potencialidades humanas e vislumbrar um uso novo e comum do mundo e de nós mesmos. (shrink)

In this comprehensive study of Wittgenstein's modal theorizing, Bradley offers a radical reinterpretation of Wittgenstein's early thought and presents both an interpretive and a philosophical thesis. A unique feature of Bradley's analysis is his reliance on Wittgenstein's Notebooks, which he believes offer indispensable guidance to the interpretation of difficult passages in the Tractatus. Bradley then goes on to argue that Wittgenstein's account of modality--and the related notion of possible worlds--is in fact superior to any of the currently popular (...) theories in this area. In this context, he examines and critiques the work of such figures as Adams, Carnap, Hintikka, Lewis, Rescher, and Stalnaker. (shrink)

In this thesis I investigate the notion of experience in German Idealist Philosophy. I focus on the exploration of an alternative to the transcendental model notion of experience through Schelling's insight into the notion of logogrif. The structural division of this project into two sections reflects the two theoretical standpoints of this project, namely the logic and the logogrif of experience. The first section - the logic of experience - explores the notion of experience provided in (...) Kant's Critique of Pure Reason, Critique of Judgement and Fichte's Science of Knowledge. I argue that Kant's fundamental question about the possibility of synthetic a priori judgements succeeds in thematising the aporia of cognitive experience but results in a subject-oriented, representational model which radically confines the notion of experience to the constitutive laws of the understanding or to the normative precepts of Reason. Experience is founded upon a sharp division between faith and knowledge, will and logic, desire and reflection, absolute and finitude. Fichte's endeavour to articulate a non-representational account of experience, does not succeed in extricating itself from the representational model, so long as experience is reduced to the ever-producing deeds of the self-positing ego. Despite the serious differences between Kant's and Fichte's notions of experience, both accounts, so long as they unfold from a transcendental standpoint, attempt to resolve experience into conceptual laws or determinations of the ego's absolute will. Experience is transformed into an object of the subject's cognitive or volitional faculties. The paradoxes of man's interaction with the world are intended to be accommodated either by the law-giving spontaneity of the understanding and the Architectonic of Pure Reason or by the overpowerful primordial act of the self-positing ego. This implies the conceptualisation of the self in terms of constant identity-through-time, or sheer self-determination. However, this conceptualisation remains at the normative or prescriptive level, which in turn is projected upon the world. The latter, though appears as the subject's property, essentially remains alien and opaque, confirming the radical limitations of the ego rather than its order-giving authority. Moreover, this notion of experience is ultimately founded upon a radical expulsion of the divine from the world, the de-spiritualisation of the sensual and the de-sensualisation of the spiritual, the sharp juxtaposition between absolute and finitude. This results in a self-defeating subjectivity, whose firm identity and rule-giving authority does not rescue it from its perennial unattainability to 'organise the conditioned' or 'conquer the unconditioned'. In Kant's and Fichte's thought, however, I detect elements that potentially transgress their transcendental account of experience. These are found in Kant's concept of spontaneity and free play between understanding and imagination, and Fichte's concept of productivity. I argue that these elements lose their potential dynamism, so long as they are absorbed by the transcendental demands for the solution of the aporias of logic. However, these elements point to the need for a radical re-conceptualisation of the notion of experience. This is provided by means of Schelling's logogriflic approach, which constitutes the theme of the second section. The second section - the logogrif of experience - attempts to articulate a different approach towards the notion of experience, through an exploration of Schelling's versatile and provocative thought. This section focuses on Schelling's original insight into the notion and act of logogrif, which opens the dialogue between logos and mythos, cosmic becoming and human soul, cosmic imagination and human reflection, faith and knowledge. This section attempts to illuminate Schelling's fascinating philosophical investigations and discoveries that have been rather overlooked, possibly, due to Hegel's overwhelming critique. This section, after a brief critical examination of the Identity Philosophy, attempts to elucidate Schelling's notion of experience through his middle works, Of Human Freedom, Ages of the World, The Deities of Samothrace, which are treated as a self-developing trilogy. Schelling re-addresses the aporias of logic not as part of Reason's self-interrogation but as part of the cosmic paradoxes and living experiences. In this way, Schelling resets the scene of the debate on the conditions of possibility for cognitive experience by putting on the stage the enigmas of the cosmos and life rather than the Tribunal of Reason. Logic itself is conceived as a potency in the cosmic becoming, and consequently can no longer attempt to establish the transcendental conditions for the possibility of cognitive experience. Cosmic becoming, in which man is an active part, is conceived as the process of the movement, the interaction, the transformations and transmutations of multiple potencies. These, far beyond any mechanical conceptualisation, appear as self-moving and yet interdependent, unknown yet familiar, inscrutable and yet manifest powers, describing the mystery of life itself. The latter is depicted as an ever-recurrent act of longing for self-expression as active unity. Experience is conceived as the lived process of a network of living potencies, which may not only resist rational powers but may also puzzle and seize them. In this context, reflection acquires a plastic dimension, as opposed to its rigidity in the representational model of experience. Reflection depicts cosmic longing's self-formation, whose man is part. This self-bending formation partially illuminates the nature of longing, and from this standpoint is the logic of the longing. However, this formation is movable, transmutable and mostly ineffable, and from this standpoint is the logic of a riddle: a logogrif. Logogrif is the transitive term that attempts to describe the transition of experience from its enacted phase to its allusive conceptual utterance, and in this sense the term itself participates in both phases, as both form of thought and form of life. The logogrific approach to experience in turn transposes us as from the realm of pure concepts to the realm of the mystery of life, from pure thought to acts of longing, from the Architectonic of Pure Reason to Cosmic Theurgy. The latter term attempts to grasp the paradox and dynamism of cosmic and non-cosmic becoming by means of multiple, vanishing and ever-recurring, transmutable potencies, or in Schelling's terms 'the magic of insoluble life'. Schelling's logogrific account consists in a powerful voice for the re-enchantment of the world, the introduction into the notion of experience of the imminence of the divine. This is not suggested in terms of the adoption of old religious doctrines but by means of the discovery and re-discovery of the theurgy of life, through the intensification of our artistic mood, the creative expansion of our deeds. This notion of experience allows for the reconsideration of the notion of the self, in terms of a dynamic, conflictual process between conscious and unconscious powers and the critical revaluation of the accounts of subjectivity which reduce it to the sphere of self-consciousness. The thesis concludes with the need for an investigation into the relation between logos and mythos, which only tangentially has been introduced by the present project. In this context it will be possible to re-appraise the potential that the logogrific approach opens for an alternative to both logical and traditional mythological patterns of thinking. (shrink)

Spinoza’s conatus doctrine, the main proposition of which claims, “[e]ach thing, to the extent it is in itself, strives [conatur] to persevere in its being” (E3p6), has been the subject of growing interest. This is understandable, for Spinoza’s psychology and ethics are based on this doctrine. In my paper I shall examine the way Spinoza argues for E3p6 in its demonstration which runs as follows: "For singular things are modes by which God’s attributes are (...) expressed in a certain and determinate way (by 1p25c), i.e. (by 1p34), things that express, in a certain and determinate way, God’s power, by which God is and acts. And no thing has anything in itself by which it can be destroyed, or which takes its existence away (by p4). On the contrary, it is opposed to everything which can take its existence away (by p5). Therefore, to the extent it can, and is in itself, it strives to persevere in its being." This argument has been severely criticized for being defective in many ways. E3p6d contains four items, E1p25c, 1p34, 3p4, and 3p5. Most often, only the two last mentioned are regarded as doing any real work in the demonstration. However, I shall argue that having a proper grasp of Spinoza’s concept of power enables us see that the demonstration’s beginning, built on E1p25c and 1p34, brings forth a certain dynamic framework in which finite things are centers of causal power, capable of producing effects in virtue of their essences. My examination of this framework shows the beginning of the demonstration to be irreplaceable: in the end, conatus is one form of power, and E1p25c and 1p34 not only bring the notion of power into play, but also inform us on how finite things’ power should be understood in the monistic system. So, I disagree with such commentators as Jonathan Bennett, Edwin Curley, Daniel Garber, Michael Della Rocca, and Richard Manning, who see Spinoza as trying to derive the conatus doctrine from E3p4 and 3p5 alone; and I agree with Alexandre Matheron, Henry Allison, and Martin Lin, who stress the importance of E1p25c and 1p34. -/- However, this still leaves us the task of reconstructing the whole derivation and showing how its various ingredients fit together. If E1p25c and 1p34 are so important, could E3p6 not be derived from them alone, as Martin Lin has argued? In other words, why are E3p4 and 3p5 needed at all? To answer these questions I shall provide an interpretation of E3p6d that explains how the argument is supposed to work. E1p25c and 1p34 say that finite things are, in essence, dynamic causers, which, in case of opposition, truly resist opposing factors with their power and do not simply cease their causal activities whenever facing obstacles; in other words, they strive against any opposition. However, this is not enough to guarantee that they could not act self-destructively or restrain their own power, which would make them incapable of self-preservation. But this would go against E3p4, “No thing can be destroyed except through an external cause,” and Spinoza uses it to claim, “no thing has anything in itself by which it can be destroyed, or which takes its existence away.” So all this allows Spinoza to hold that finite things are consistent causers, that is, entities endowed with power and, insofar they cause effects solely in virtue of their essence, they never use their power self-destructively. The significance and role of the final item in the demonstration, E3p5 (“Things are of a contrary nature, i.e., cannot be in the same subject, insofar as one can destroy the other”), still needs to be determined. Indeed, considering its content and the way it is used in the demonstration, it seems to be a surprisingly decisive ingredient in the argument. Namely, what “each thing, to the extent it is in itself,” that is, insofar as any thing is considered disregarding everything external to it, strives to preserve, is its being (esse), not simply its present state. This together with E3p5’s view of subjecthood – which I shall explicate in my paper – suggests that we should rethink what kind of “being” or “existence” is meant in E3p6. Indeed, for Spinoza, each subject has a definable essence from which, as far as the subject in question is in itself, certain properties or effects necessarily follow; consequently a subject’s full being involves not only instantiating a certain essence, but also those properties inferable from the essence-expressing definition. Thus, E3p5 is meant to bring forward that things are not merely non-self-destroyers but subjects from whose definitions properties follow; and as Spinoza thinks to have shown (by E1p25c and 1p34) that finite modifications are entities endowed with power, any subject has true power to produce the properties or effects derivable from its definition, which, Spinoza claims, implies opposing everything harmful. In other words, things exercise power as their definition states, i.e. according to their definitions, and thus bringing in the idea of things as expressers of power enables Spinoza to convert logical oppositions (of E3p5) into real ones (of E3p6). To summarize, Spinoza reasons that each true finite thing is, in itself, an expresser of power (E1p25c, 1p34) that never acts self-destructively (E3p4) but instead strives to drive itself through opponents to produce effects as they follow from the definition of the thing in question (E1p25c, 1p34, and 3p5). Therefore, “each thing, to the extent it is in itself, strives to persevere in its being.” The demonstration of E3p6 has its roots deep in Spinoza’s ontology, and since its concept of power is supposed to provide the metaphysical grounding for real opposition, the importance of E1p25c and 1p34 should not be underestimated just because Spinoza – as often happens – puts his point exceedingly briefly. Moreover, the derivation is basically valid and contains no superfluous elements. Finally, all this tells us something decisive about the meaning of Spinoza’s doctrine: according to it, things are active causers whose “power to exist and act” has conatus character in temporality, amounting not only to striving to prolong the duration of one’s actualization but also to striving to be as active or autonomous as possible, that is, to attain a state determined by the striving subject’s essence alone. (shrink)

The paper is a reply in Process Studies to a paper of mine that had earlier appeared in Process Studies on Wittgenstein and Whitehead. The paper considers both the “earlier” Wittgenstein of the Tractatus and the “later” Wittgenstein beginning with the Philosophical Investigations. The paper discusses Wittgenstein’s idea that the philosophical truth is “open to view”, the centrality of the picture theory in the Tractatus, the Tractatus-dichotomy between “saying” and “showing”, the Tractatus-view that “one must be silent” about that (...) class='Hi'>which can only be “shown”, the role of “logical atomism” in the Tractatus, the kind of “clarity” Wittgenstein sought in his ethical and his philosophical investigations, the Tractatus-notion of “logical space” and Ramal’s claim that the Tractatus posits a “transcendental space” for the mystical, the question whether Wittgenstein embraced the idea of ineliminable paradox in human life, the Tractatus-idea that logic is the basis of metaphysics, Wittgenstein’s “organicism” in both his “earlier” and “later” philosophies, Wittgenstein’s notion of essences in both his “earlier” and “later” philosophies, the “later” Wittgenstein’s and Whitehead’s respective views of the relation of philosophy and ordinary language, the question whether the “later” Wittgenstein and/or Whitehead uses words in a metaphorical sense in their philosophical works, the “later” Wittgenstein’s notion of “grammatical” propositions, the significance of cosmological language in both Wittgenstein and Whitehead. The paper is published at Academia [dot] edu -/- . (shrink)

Chapter VI discusses a few assumptions which underlie the proposed reconstruction of Hegel's procedures. It is shown that certain equivalents of such assumptions are either explicitly accepted by Hegel, or they are consequences of theses he subscribed to. Finally, it is suggested that some of these assumptions envisage a conception of language and philosophy which has an interesting parallel in Wittgenstein's later work. Such a conception sets philosophy sharply apart from the sciences, and deemphasizes the formation of contradictions. (...) The general relationship between vagueness and contradiction is briefly explored to show that some familiar contradiction-generating procedures can be seen to be based on vagueness of the relevant theoretical expressions. ;Chapter V deals with the Aufhebung. After an examination of Hegel's own theory of sublation, and an analysis of some textual examples, it is shown that some Aufhebung-procedures can be modelled by certain patterns of argument concerning simple algebraic structures. A few Hegelian concepts, such as "opposition," "unity," "passing over," "reflection," are partially explicated in the process. ;Chapter IV plays a pivotal role in the dissertation. It explains the generation of dialectical contradictions as stemming from syntactic and intensional indeterminacy of the theoretical terms. It is shown that Hegel's conceptual terms have no well-determined sense, so that their senses can be identified in different and possibly inconsistent ways. It is also shown that they can be made to play different syntactic roles, for no rigid determination of their syntactic function is assumed. This, again, may create contradictions. Both kinds of indeterminacy are related to Hegel's borrowing of his conceptual terms from a "natural" philosophical koine. ;Chapter III is an analysis of Hegel's language in the Logic. It tries to determine the grammatical and semantical status of Hegel's conceptual terms and to explicate the Hegelian use of the copula as occurring in certain typical sentential forms. ;The presence of the so-called "dialectical contradictions" is the most evident logico-linguistic peculiarity of Hegel's text. After a discussion of Hegel's theory of contradiction, and of some of its interpretations, it is argued that any satisfactory account of the dialectical method must explain the formation of contradictions on the basis of other logico-linguistic features of Hegel's text. ;Chapter II deals with a few such explanations which have been offered by modern interpreters of Hegel. Use of contemporary analytic concepts in the logical and linguistic analysis of Hegel's text is justified with reference to the Carnapian categories of "explication" and "rational reconstruction." ;The literature on Hegel's dialectic has made important contributions to an understanding of its nature both as a metaphysical theory of reality and as a philosophical attitude towards the human world. However, many recent interpreters agree that no satisfactory progress has been made in understanding dialectic as a method. This dissertation identifies the dialectical method as the specific form of Hegel's philosophical discourse, and tries to bring out its basic logico-linguistic features. The Science of Logic is chosen as the field of inquiry, because of its crucial position among Hegel's mature works. (shrink)

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

THE PHILOSOPHY which I advocate is generally regarded as a species of realism, and accused of inconsistency because of the elements in it which seem contrary to that doctrine. For my part, I do not regard the issue between realists and their opponents as a funda- mental one; I could alter my view on this issue without changing my mind as to any of the doctrines upon which I wish to lay stress. I hold that logic (...) is what is fundamental in philosophy, and that schools should be characterized rather by their logic than by their metaphysic. My own logic is atomic, and it is this aspect upon which I should wish to lay stress. Therefore I prefer to describe my philosophy as "logical atomism," rather than as "realism," whether with or without some prefixed adjective. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Kant on the Method of MathematicsEmily Carson1. INTRODUCTIONThis paper will touch on three very general but closely related questions about Kant’s philosophy. First, on the role of mathematics as a paradigm of knowledge in the development of Kant’s Critical philosophy; second, on the nature of Kant’s opposition to his Leibnizean predecessors and its role in the development of the Critical philosophy; and finally, on the specific role of intuition (...) in Kant’s philosophy of mathematics. One of the points that I want to make is that recognizing the importance of these first two issues is essential to giving an adequate account of the third. That is, only by appreciating how Kant uses the example of mathematical knowledge, and in particular the objections he had to previous accounts of such knowledge, can we understand the philosophical role that he ascribes to intuition in his own account of mathematics.I don’t propose to explain the details of Kant’s philosophy of mathematics, but rather to compare his views on mathematics in the pre-Critical Prize Essay of 1764 to those of the Critique of Pure Reason, with the aim of showing how Kant’s doctrine of construction in pure intuition arises out of a combination of two factors: first, his attempt to ground the distinction between the respective methods of mathematics and philosophy, and second, his concern to defend the reality of mathematical knowledge against the views of those he called ‘the metaphysicians.’ The first factor demands an account of the certainty of mathematics, the second requires an account of its content. I shall argue that there is a possible conflict between Kant’s accounts of these features in the Prize Essay, a possibility which is finally ruled out only by means of the Critical doctrine of pure intuition. So I hope to show that there is a significant philosophical role for intuition in Kant’s account of mathematical knowledge (over and above the more logical role attributed to it on readings [End Page 629] such as those of Friedman, Beth, and Hintikka1) in reconciling the content of mathematics and its certainty.2. THE MATHEMATICIANS VS. THE METAPHYSICIANSThroughout his early writings, Kant appealed to the evidence and certainty of mathematics; his attitude towards metaphysics, however, underwent a dramatic shift. In the Physical Monadology of 1756, Kant asked how metaphysics and geometry can be united,[f] or the former peremptorily denies that space is infinitely divisible, while the latter, with its usual certainty, asserts that it is infinitely divisible. Geometry contends that empty space is necessary for free motion, while metaphysics hisses the idea off the stage. Geometry holds universal attraction or gravitation to be hardly explicable by mechanical causes but shows that it derives from the forces which are inherent in bodies at rest and which act at a distance, whereas metaphysics dismisses the notion as an empty delusion of the imagination [1:475–6].2He attempted in this work to reconcile the respective positions of metaphysics and geometry regarding infinite divisibility, thereby demonstrating that “it is neither the case that the geometer is mistaken nor that the opinion to be found among metaphysicians deviates from the truth” [1:480]. But in a series of works from 1762–3, Kant reveals a markedly different attitude towards metaphysics. For example, in “The only possible argument in support of a demonstration of the existence of God,” Kant says:the mania for method and the imitation of the mathematician, who advances with a sure step along a well-surfaced road, have occasioned a large number of such mishaps on the slippery ground of metaphysics. These mishaps are constantly before one’s eyes, but there is little hope that people will be warned by them, or that they will learn to be more circumspect as a result [2:71].In contrast, Kant describes the geometer as uncovering “with the greatest certainty” the most secret properties of that which is extended [2:70]. But the less conciliatory attitude to metaphysics comes out most clearly in Kant’s actual procedure in “The only possible argument.” In the Seventh Reflection, he presents an attempt to explain the origin of... (shrink)

The meaning of the term “analysis” in Leibniz’s work is multifarious and it is doubtful that one could ever succeed in gathering this variety of meanings into a unified whole. However it has long been remarked that a landmass seems to detach itself from these moving waters – an island sometimes called by its inventor “The Most General Analytics of Human Thoughts”. Already sketched in the De Arte Combinatoria (1666) as a reform of the “analytical part” of Logic (pars logices (...) analytica), it rested on a very simple intuition: the possibility of developing, in parallel, three analyses, namely an analysis of thoughts (analysis notionum et veritatum), an analysis of the structure of language by which we express these thoughts (analysis linguarum or analysis grammatica) and an analysis of the symbols by which we represent them (analysis characterum). This “General Analytics” achieved, any human thought could be related to a catalog of simple notions expressed by basic characters (the so called alphabetum cogitationum humanarum) and, as a direct consequence, any truth could be expressed as a combination of these primitive symbols. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Logic Pamphlets of Charles Lutwidge Dodgson and Related PiecesIrving H. AnellisFrancine F. Abeles, editor. The Logic Pamphlets of Charles Lutwidge Dodgson and Related Pieces. The Pamphlets of Lewis Carroll, 4. New York-Charlottesville-London: Lewis Carroll Society of North America-University Press of Virginia, 2010. Pp. xx + 271. Cloth, $75.00.Until William Bartley’s rediscovery and reconstruction of Dodgson’s lost Part II of Symbolic Logic, Lewis Carroll’s reputation in logic, when (...) taken seriously, rested upon his few published articles on logical paradoxes and puzzles, while his published books, The Game of Logic and Symbolic Logic, were regarded as suitable perhaps as pedagogical tools, but dismissed otherwise as amusements, on a par with the Alice works. Richard Braithwaite asserted (“Lewis Carroll as Logician”) that “Carroll regarded formal and symbolic logic not as a corpus of systematic knowledge about valid thought nor yet as an art for teaching a person to think correctly.” He suggested that Dodgson used his pseudonym for his popular and whimsical writings, reserving his legal name only for his serious mathematical products. Philosophers practicing linguistic analysis in their assault on nonsense deriving from misuse of language meanwhile developed an interest in Carroll (e.g. George Pitcher, “Wittgenstein, Nonsense, and Lewis Carroll”). Abeles, on the contrary, stresses the seriousness of Dodgson’s pedagogical and popularizing mission (195–99).Bartley’s discovery opened the door for reevaluating Dodgson as a serious logician, and Abeles has been in the forefront of that reevaluation. Her general introduction and introductions to the main divisions of this collection of Carroll’s publications (and additional material from his Nachlass and a handful of publications of others, composed in response to Carroll’s published articles) place his serious logical work and its significance in historical perspective, providing a deeper, more sophisticated view than found in Bartley’s “Editor’s Introduction” to Lewis Carroll’s Symbolic Logic. Abeles also offers brief introductions to the individual entries, which describe their physical characteristics and circumstances of composition.Dodgson aligned with the majority of those British logicians of his day, starting with George Boole, who understood formal logic to be Aristotelian syllogistic, and symbolic logic to be syllogistic logic expressed algebraically. His notational innovation was employing indices to terms so that, independently of the arrangement of terms, propositions could easily be read; thus, “xy0” can be read as “no x are y” or “no y are x” and “x1y0” as “all x are not y” or “no x are y”. In dealing with the classical elimination problem in the class calculus—to determine the maximum information, without duplications, obtainable from a given set of premises—Dodgson in his later work and unpublished letters anticipated several concepts of automated theorem proving.Central to both geometry and to formal logic are the rules of logical inference that establish the validity of arguments and guarantee that conclusions inferred from true [End Page 506] premises are true. The modern analytic tableaux, or tree method, is a fundamental tool in this regard, both for deriving theorems and for determining the validity or invalidity of the proofs for propositional calculus and first-order predicate calculus.Introducing his reconstruction of Part II of Symbolic Logic, Bartley noted that, along with the logic diagrams that Carroll devised, he also devised a tableau method that strongly resembled Beth’s semantic tableaux. Abeles went more deeply and convincingly into that resemblance in her earlier research. Beth’s tableaux, together with Hintikka’s model sets, were the direct ancestors of Smullyan’s analytic tableaux, which in turn are the theoretical basis for the Robinson resolution method that continues to be central to much work in programming logic.Abeles has also shown that the work in Studies in Logic by Charles Peirce and his logic students at Johns Hopkins University served as a source of inspiration for Dodgson. More critically, she demonstrated that Dodgson devised and employed the tree method for carrying out proofs of syllogisms and chains of syllogisms, or soriteses, in Part II of Symbolic Logic (see her “Lewis Carroll’s Method of Trees: Its Origins in Studies in Logic,” Modern Logic 1 [1990]: 25–34). The tree... (shrink)

Recent work of Gustav Bergmann develops an ontological framework within which an account of relations has been sketched out. The approach is a kind of new logical atomism which has some of the features of an Aristotelian hylomorphism (of sorts). It recognizes a number of categories and groups of a hylomorphic kind, chiefly “determinates” and “subdeterminates”--the latter only indirectly or implicitly. Winsome though it is, the approach is flawed by certain difficulties it gives rise to, among (...) them inability to speak of subdeterminates and failure of a relation to be had by a referent towards a relatum. Instead of having a sense, a relation is conceived of as a determinate which enters an arrangement whose existence and nature are not properly accounted for. Finally, Bergmann’s Ideal Language is assayed and shown not to be as useful philosophically in itself as he takes it to be. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 27.1 (2003) 188-195 [Access article in PDF] Wittgenstein and Poetic Language B. R. Tilghman ACCORDING TO RICHARD KUHNS there are certain important parallels between symbolist poetic theory, especially that of Paul Valéry, and Wittgenstein's picture of language developed in the Tractatus Logico-Philosophicus. 1 It strikes me that these parallels are strained and certainly unhelpful in illuminating either what Valéry says about poetry or his poetic practice. (...) In fact, I find certain things in Valéry that are closer in spirit to Wittgenstein's view of language in the Philosophical Investigations. 2 My concern here is not to criticize Kuhns's thesis nor to provide a systematic exposition of Valéry's thoughts about poetry so much as it is to use some of what they say as stepping stones to show the relevance of Wittgenstein's work for understanding at least some of what goes on in poetry.Kuhn says that "Linguistic forms fascinated both Valéry and Wittgenstein, and the possibility that language might achieve necessity in that it produced sentences held together by bonds of absolute security and irrevocability operates in the logical forms of the Tractatus as it does in Valéry's art. A poem, Valéry believed, must be wrought with such necessity of part to part, such fastness of interior design, that the reader be compelled by his reading to recognize all the implications of the sentences." 3 I set aside trying to make sense of the idea of language achieving necessity and assume that the analogue of the "bonds of absolute security and irrevocability" in the Tractatus is that a perspicuous [End Page 188] symbolism should immediately make clear all the logical implications of any proposition. The analogy between whatever it is that counts as poetic implications and logical implication, however, seems impossibly lame. The word "implication" applied to the sentences of poetry is not a technical term as is the word when used in logic and its meaning may not be altogether clear. Nevertheless, some of what it may mean can be brought out, I believe, in terms of examples. Consider T. S. Eliot's line that "April is the cruelest month, breeding lilacs out of the dead land...," the full sense—implications—of the words are not realized until they are seen in the context of the rest of the poem where we can understand them as making a point about the constrained and empty lives of the dwellers in the waste land. The description of the spring as cruel will help to serve as the poem develops to reveal to us the resistance of people to open themselves to human emotion and reaction. There are too many differences between this kind of thing and logical implication to make the analogy helpful.At one point Valéry says that "A poem is really a kind of machine for producing the poetic state of mind by means of words." 4 To that statement Kuhns comments that "Valéry's idea that a poem is a machine for producing poetic states is analogous to Wittgenstein's idea that logic is a machine for making sense, that there exists a structure which is the structure of possible meanings." 5 Valéry apparently wanted a poetry in which there is something akin to a necessary connection between the images and tropes within a poem so that there is only one way to read it. Although it is by no means clear what success in such an enterprise would be, some sense can be made of the idea of a poem as a structure of meanings held together by a kind of necessity. I shall try to make this clear. A poem invites us to move in various directions as the force of some figure of speech comes home to us or various associations dawn on us. In music a certain chord progression seems to demand a resolution into the tonic as its completion. This could be described as a kind of necessity, but, of course, not a logical one. Given our... (shrink)

How is it possible that a thing singled out not exist? How is it possible that two things singled out be numerically identical? How is one to understand the relationship between, say, a quality of a thing and what this quality is? And how is one to understand the relation between this quality and the thing which happens to be thus qualified? Trying to answer these four questions involves investigation of the four senses of the verb "to be," or (...) of the concepts of existence, identity, essential and accidental predication. Butchvarov’s thesis is that these four questions admit of a common answer, that the cornerstone of this comprehensive theory is an answer to the second question, and that this crucial answer depends on making some such distinction as his between "objects" and "entities." The bare bones of his argument are these: We commonly make statements of the form "a is b" where "a" and "b" are used referringly. A "material identity" statement of this form may be true. If true, it is about one thing; yet what it is about appears to be distinct things. This distinctness is not a real distinction among existents, nor does it arise solely or primarily from features of language. Butchvarov’s account is based on a distinction "of reason" between objects and entities. An entity is an existent, a constituent of the world. An object is whatever can be singled out once, and only once, in perception or imagination or in "thought". Entities as such cannot be singled out, yet they may be recognized through applications of a conceptual apparatus to objects. A material identity statement, then, states that two objects are one entity. If true, it is both about two distinct objects and about the one entity which each is. When two objects are judged to be one entity, then indiscernibility is enforced. Seeming counterexamples to the indiscernibility of identicals are explained in terms of the distinction between objects and entities. Though some applications of the concept of identity are relative to sortal characteristics, others are not. The latter are prior to the former. These primary judgments constitute the backbone of "thought" and discourse. They are governed by impersonal, nonhuman "paradigms." There are entities, of course; and there are objects, though as objects none exists. Some objects are entities, some are not. The notion of existence, like the notion of identity in its material role, is then a principle of classification, a concept. Butchvarov examines nine objections to this claim, and elaborates his distinction between objects and entities. He concludes that identifiability, hence indefinite reidentifiability, is the logically sufficient condition of applicability of the concept of existence. A statement such as "Socrates is white" is a disguised conjunction, viz., "Socrates has this color, and this color is white." The second conjunct is an "essential" statement; it says of an object singled out that it is a certain entity; or, to allow for essences of nonexistent objects, it states what entity the object would be were it an entity. An essential statement is not a material identity statement, for only one of its terms is used referringly. The essence of an object is not a property of it, for it is what the object is or would be. Whereas logically prior consciousness of objects is intentional and non-conceptual, consciousness of entities is conceptual and nonintentional; it consists in recognizing that a thing can be identified by oneself or by others. What is accidentally white, say, cannot be a material substance or bare particular; therefore it is a "cluster" of qualities. The Resemblance Theory, according to which qualities are particulars, is not a coherent alternative to the Identity Theory; therefore the qualities an individual happens to have are themselves universals. The Bradleyan critique of ontological atomism is cogent; therefore an individual is a cluster of qualities each of which depends for its "formal identity" on its being together with the rest. An individual’s having qualities is then to be understood in terms of the necessary togetherness of the qualities constitutive of it. Since in addition each of these qualities is essentially a universal, and specific universals are contingently coinstantiated, the predication in question is properly regarded as accidental. The problem of identifying quality-clusters through space and time is discussed. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:September 27, 2008 (1:09 pm) G:\WPData\TYPE2801\russell 28,1 048RED.wpd russell: the Journal of Bertrand Russell Studies n.s. 28 (summer 2008): 69–93 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631; online 1913-8032 eviews WITTGENSTEIN, CRITIC OF RUSSELL Russell Wahl English and Philosophy / Idaho State U Pocatello, id 83209, usa [email protected] Jérôme Sackur. Formes et faits: Analyse et théorie de la connaissance dans l’atomisme logique. Paris: Vrin, 2005. Pp. 313. (...) ¤31.00. isbn 978-2-7116-1722-7. Sackur joins several other recent French authors in writing penetrating analyses of Russell’s and Wittgenstein’s work. Forms and Factsz is an explication of the Tractatus, conducted by means of a contrast between Russell’s work and Wittgenstein’s. Sackur examines the interplay between Russell’s and Wittgenstein ’s versions of logical atomism, particularly, as Sackur puts it, between Russell’s original thought on the one hand, which provides the material for Wittgenstein’s position in the Tractatus, and Wittgenstein’s critique and development on the other, which, he says, provides a unity to Russell’s position (p. 12). While recognizing the inXuence of Russell on Wittgenstein’s project, Sackur in the end sees Wittgenstein as undermining and ultimately rejecting Russell’s logicism. He does not just repeat old claims about Wittgenstein, Russell and logical form. His analysis is very subtle and, perhaps unusually for a work on Wittgenstein which defends Wittgenstein over Russell, Formes et faitsz displays a surprisingly detailed knowledge of Russell’s work, before, during and after the period in question, 1913–19. Anyone who is interested in Russell’s and Wittgenstein ’s work during this period, and in particular Wittgenstein’s criticisms of Russell, will beneWt greatly from this book. There are detailed, well informed discussions of important points of disagreement, particularly Russell and Whitehead ’s account of succession and the ancestor relation, Wittgenstein’s remarks on operators, in particular the Nz operator, various remarks about the theory of types, and Wittgenstein’s now well known criticism of Russell’s theory of judgment. The subtitle of the work, “Analysis and the theory of knowledge in logical atomism”, reXects the points where Sackur sees the greatest disagreement between Russell and Wittgenstein. In the Wrst place, he sees them diTering in their attitude toward analysis, with Russell oTering translations of sentences into a September 27, 2008 (1:09 pm) G:\WPData\TYPE2801\russell 28,1 048RED.wpd 70 Reviews 1 For the Wrst point, see (among others) P.yM.yS. Hacker, Wittgenstein’s Place in Twentieth Century Philosophy (Oxford: Blackwell, 1996), pp. 69–70. For the second, see (again among others), David Pears, The False Prison (Oxford: Clarendon P., 1987), i: 63, where Pears says that Russell’s atomism was founded on the doctrine of “forced acquaintance”. 2 P.yJ. Hager, Continuity and Change in the Development of Russell’s Philosophy (Dordrecht: Klewer, 1994). perspicuous language and Wittgenstein oTering explications, or elucidations, of senses already in the sentences. Secondly, they diTer on the role that epistemology should play in logical atomism, with Wittgenstein criticizing the role of acquaintance in the development of logic. While both of these points have been made before,1 Sackur’s discussion is more thorough than previous studies and leads to some new interpretations of passages in the Tractatus. Sackur’s discussion of analysis is important to his argument. He is interested in a tension between what he sees as two aims of analysis in Wittgenstein’s work, one found in Tractatusz 3.2–3.3 and the other in Tractatusz 4.21–4.2211. He sees analysis in the Wrst group as revealing or elucidating the sense a proposition expresses, a sense understood and already there in the ordinary unanalyzed proposition, and analysis in the second group, driven by the theses of necessity and logical independence, as focusing on truth-functional analysis in terms of elementary propositions that consist of names referring to simple objects. He argues that these two aims don’t automatically go together and in fact appear to be at cross purposes. In the course of the Wrst chapter, the major distinction Sackur makes is between analysis... (shrink)

We will argue that Sartre’s failure and Beauvoir’s success in formulating a successful existential ethics lie in their distinct understandings of transcendence. Sartre’s struggle between transcendent consciousness and immanent body undermines being-in-the-world and being-with-others (what is, in Sartre’s language, only a being-for-others) as a way to enrich the self. Contra Sartre, Beauvoir’s notion of transcendence is an upsurge of being which originates in and necessitates bodily immanence. For Beauvoir, transcendence is to be gained only (...) by revelling in immanence, a gesture that puts oneself at risk toward the Other. This putting oneself at risk is, however, the only way to generate an authentic and no longer conflictual encounter with the Other. (shrink)

A milestone in Wittgenstein scholarship, this collection of essays ranges over a wide area of the philosopher's thought, presenting divergent interpretations of his fundamental ideas. Different chapters raise many of the central controversies that surround current understanding of the Tractatus, providing an interplay that will be particularly useful to students. Taken together, the essays present a broader and more comprehensive view of Wittgenstein's intellectual interests and his impact on philosophy than may be found elsewhere.The thirteen chapters treat topics from both (...) periods of Wittgenstein's work: More than half are devoted to his early thought, the Tractatus Logico-Philosophicus of 1921, reflecting a growing interest today among philosophers in reexamining this seminal book, while three chapters treat the Philosophical Investigations, published posthumously in 1953. The remaining chapters discuss such "nonstandard" topics as philosophy of religion, aesthetics, and anthropology.Contents: The Early Wittgenstein and the Middle Russell, Kenneth Blackwell; Frege and Wittgenstein, Michael Dummett; Wittgenstein and the Theory of Types, Hide Ishiguro; The So-called Realism of Wittgenstein's Tractatus, Brian McGuinness; The Logical Independence of Elementary Propositions, David Pears; The Rise and Fall of the Picture Theory, Peter Hacker; The Picture Theory and Wittgenstein's Later Attitude to It, Erik Stenius; Wittgenstein's Early Philosophy of Mind, Anthony Kenny; A Theory of Language?, G. E. M. Anscombe; Im Anfang war die Tat, Peter Winch; Wittgenstein's Full Stop, D. Z. Phillips; Quote: Judgments from Our Brain, Paul Ziff; Wittgenstein and the Fire Festivals, Frank Cioffi, Index.Irving Block is Associate Professor in the Philosophy Department at The University of Western Ontario. (shrink)

This guide accompanies the following article: ‘Logic and Divine Simplicity’. Philosophy Compass 6/4 : pp. 282–294, doi: Author’s IntroductionFirst‐order formalizations of classical theistic doctrines are increasingly used in contemporary work in philosophy of religion and philosophical theology, as a means for clarifying the conceptual structure of the doctrines and their role in inferential procedures. But there are a variety of different ways in which such doctrines have been formalized, each representing the doctrines as having different conceptual structures. Moreover, (...) the adequacy of such formalizations as such has, at least with respect to some classes of doctrines, been disputed. One reason for disputing their adequacy derives from the conceptual impact of classical theism’s doctrine of divine simplicity.Author RecommendsFrege, Gottlob ‘Begriffsschrift: a formula language of pure thought,’ trans. Michael Beany, in The Frege Reader, ed. Beany. Oxford: Blackwell, pp. 47–78. The preface contains interesting remarks about the purpose of formalization as understood by the chief pioneer of modern formal logic. These remarks are also connected by Frege to his views on the relation between thought and language more generally.Russell, Bertrand, and Whitehead, A.N. Principia Mathematica, Vol. I. Cambridge: Cambridge University Press.The preface and first section of the long introduction contain remarks on the purpose and advantages of formalization. Chapter 1 of the introduction contains what is probably one of the first formalizations ever of a theistic doctrine, and is given in terms of a definite description analysis.Suppes, Patrick ‘The Desirability of Formalization in Science,’The Journal of Philosophy, Vol. 65, No. 20, pp. 651–64.Clear and concise discussion of some of the advantages of formalization in philosophical inquiry, written by a prominent contemporary American philosopher‐logician.Nieznański, Edward ‘The Beginnings of Formalization in Theology,’ in Advances in Scientific Philosophy: Essays in Honour of Paul Weingartner, eds. Gerhard Schurz and Gregory J.W. Dorn. Amsterdam and Atlanta, GA: Ropodi, pp. 551–9.A valuable paper that narrates, among other things, the programme of formalizing theistic doctrines that emerged in Poland in the 1920s under the influence of the Lvov‐Warsaw School. Various examples of formalizations are also given.Quine, W.V.O. Mathematical Logic. Cambridge, MA: Harvard University Press.In Section 27 of this classic study, Quine offers a formalization of theistic doctrines which seeks to avoid the difficulties of earlier formalizations by means of a subtle extensional singleton set analysis. The proposal has not won many adherents, but is worthy of careful study nonetheless.Woleński, Jan ‘Theism, Fideism, Atheism, Agnosticism,’ in Logic, Ethics and All That Jazz: Essays in Honour of Jordan Howard Sobel, eds. Lars‐Göran Johansson, Jan Österberg, and Rysiek Sliwinski. Uppsala: Uppsala Philosophical Studies, pp. 387–400.A concise but lucid survey of some attempts to formalize theistic doctrines and some problems besetting these attempts. Woleński also proposes his own method of formalization, which could be described as a simplified version of Quine’s method in Mathematical Logic.Bocheński, Joseph The Logic of Religion. New York: New York University Press.The first book‐length treatment of the relation between modern logic and theism. It covers much ground, and remains very readable.Alston, William P. ‘Religious Language and Verificationism,’ in The Rationality of Theism, eds. Paul Moser and Paul Copan. London: Routledge, pp. 17–34.Identifies some problems with attempts at articulating theistic doctrines by means of subject‐predicate language. Highly relevant to formalizations of theistic doctrines, even though this topic is not dealt with explicitly.Kraal, Anders ‘Logic and Divine Simplicity,’Philosophy Compass.Offers a survey of three main methods of formalizing theistic doctrines, and of some variants of these methods. Argues that certain formalizations of theistic doctrines are bound to be rejected as conceptually inadequate by all who understand the doctrines at hand within the framework provided by the traditional doctrine of divine simplicity.Sample Syllabus Week I: The Idea of Formalization and the Project of Formalizing Theistic Doctrines Reading:Frege, Gottlob ‘Begriffsschrift: a formula language of pure thought,’ trans. Michael Beany, in The Frege Reader, ed. Beany. Oxford: Blackwell, pp. 47–78. Russell, Bertrand, and Whitehead, A.N. Principia Mathematica, Vol. I. Cambridge: Cambridge University Press. Suppes, Patrick ‘The Desirability of Formalization in Science,’The Journal of Philosophy, Vol. 65, No. 20, pp. 651–64.Nieznański, Edward ‘The Beginnings of Formalization in Theology,’ in Advances in Scientific Philosophy: Essays in Honour of Paul Weingartner, eds. Gerhard Schurz and Gregory J.W. Dorn. Amsterdam and Atlanta, GA: Ropodi, pp. 551–9. Week II: Formalizing Theistic Doctrines: Three Alternative Methods Reading:Woleński, Jan ‘Theism, Fideism, Atheism, Agnosticism,’ in Logic, Ethics and All That Jazz: Essays in Honour of Jordan Howard Sobel, eds. Lars‐Göran Johansson, Jan Österberg, and Rysiek Sliwinski. Uppsala: Uppsala Philosophical Studies, pp. 387–400.Russell, Bertrand, and Whitehead, A.N. Principia Mathematica, Vol. I. Cambridge: Cambridge University Press. Quine, W.V.O. Mathematical Logic. Cambridge, MA: Harvard University Press. Week III: Arguments for and Against Some Formalizations of Theistic Doctrines Reading:Bocheński, Joseph The Logic of Religion. New York: New York University Press. Kraal, Anders ‘Logic and Divine Simplicity,’Philosophy Compass, Vol. 6, No. 4, pp. 282–94.Focus Questions1 What do Frege, Russell and Whitehead, and Suppes understand the purpose or purposes of logical formalization to be, and why do they think formalization can achieve these purposes?2 Woleński sketches some simple ways of formalizing theistic doctrines such as ‘God exists’ or ‘God is almighty’ in terms of 1‐place predicates which he subsequently abandons in favour of other methods. What reasons lead him to abandon these more simple methods of formalization?3 What are the advantages of the definite description formalization of theistic doctrines offered by Russell and Whitehead?4 Quine offers a subtle formalization of the theistic doctrine ‘God exists’ in terms of singleton sets. What problems are Quine’s formalization intended to accommodate, and how does it seek to accommodate them?5 Which relative merits or demerits are there in Bocheński’s and Kraal’s respective arguments for and against the adequacy of certain formalizations of theistic doctrines? (shrink)

The works of Ludwig Wittgenstein are notoriously difficult to interpret because of the peculiarity of their style and content. They are fragmentary and aphoristic. They are in some respects very personal. They treat philosophical problems as things to be overcome rather than solved. Wittgenstein indicates that their point is ethical. In an age when philosophy has primarily conceived of itself as systematic, scientific and objective these features of Wittgenstein's works appear as oddities. Commentators have frequently ignored the peculiarities of Wittgenstein's (...) works and have read the Tractatus Logico-Philosophicus and the Philosophical Investigations as contributing unproblematically to contemporary philosophical debates. ;If, however, we read Wittgenstein's works alongside of the confessions of Augustine and Tolstoy we can see them as contributions to a mostly forgotten genre of philosophical writing, namely, philosophical confession. In this way we can see more clearly that the aim of Wittgenstein's writing is transformation rather than philosophical doctrine and we can see the various peculiarities of his works as contributing to that conception of philosophy. Philosophical problems, for him, are the illusions of language and are therefore problems which are attached to the first-person point of view and problems of will rather than of intellect. The style of his writing is a response to the demands of this conception. ;The first chapter demonstrates that Wittgenstein read and took very seriously the works of Augustine and Tolstoy. It then brings out features of their confessions which are essential to understanding the form and content of Wittgenstein's works. The second chapter interprets the Tractatus in the light of Tolstoy's A Confession. The third chapter interprets the Investigations in the light of Augustine's Confessions. The fourth chapter suggests how we should understand the ethical dimension of Wittgenstein's works given their confessional character. In the concluding postscript, I briefly suggest how this discussion of Wittgenstein's works as confessional could be seen a contribution to a wider discussion of what sort of writing is legitimately philosophical. (shrink)

This paper aims to revisit Wittgenstein’s notion of ‘higher’ from the understanding of Sankara’s conception of Jnana. According to Wittgenstein, values cannot be captured within the network of facts about living things or dead matters in the world; they are not the case in the world and are not relational, they are higher. That is why, we cannot call values natural in any sense of the expression. This compels Wittgenstein to appeal to the transcendental origin of the values. In (...) this way, the world is bereft of the values and subsequently the knowledge about the values can be attained when the self is to be seen not in the world, rather be experienced with the world. The knowledge that Wittgenstein speaks about is not the ordinary knowledge of the world which logic and science provide, but is the knowledge of the divine state where one can grasp the oneness of the life and world. Such knowledge of moral interaction between the self and world seems to be closer to Sankara’s conception of Jnana which gives the knowledge of the identity of Jiva and Brahman. According to Sankara, it is a paramarthika experience of the atman which can attain the knowledge of absolute value or Brahman while remaining engaged in the worldly pursuits. The knowledge of absolute value for him, is a form of realization or anubhava of the self or atman which is distinct from knowledge of an intellectual or logical kind. Keywords: Wittgenstein, Sankara, world, self, higher, Brahman. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Locke on the Knowledge of Material Things ROBERT FENDEL ANDERSON IT IS nOT John Locke's intention, in his Essay Concerning Human Understanding, to deal with matter and material substance nor with how these are able to affect the mind. These are considerations for natural philosophy; Locke counts himself rather among the moral philosophers. He does not propose, therefore, to meddle with the physical aspects of the mind, nor with (...) the physical production of sensations through the organs, nor with the production of ideas in the understanding, nor even with whether ideas depend upon matter for their source. He defers to the wisdom of such men as Boyle, Sydenham, Huygens and Newton in these considerations, and finds it "... ambition enough to be employed as an under-labourer in clearing the ground a little, and removing some of the rubbish that lies in the way to knowledge....,, 1 It is true that Locke's Essay is characterized chiefly not by an interest in matter and the mechanics of perception but rather by an interest in epistemology and in the ordering and assessment of our knowledge. Because of the very nature and emphasis of this epistemology, however, Locke finds that he must, from time to time, at least mention the nature of matter and how it affects us. Finally, it becomes apparent, certain changes or ambiguities in his point of view regarding the mode of our knowledge and its certainty are consequences of his understanding of matter. It is a demonstration of these elements of his doctrine, which seem not to have obtained the full attention of such scholars as Aaron, Fraser, and Gibson, that I shall attempt in this paper. Fundamentally, Locke's theory of matter appears to be that of Democritus and Epicurus. Like the Greek atomists, he conceives of matter as consisting of particles or corpuscles infinite in number. At least some of these are so minute as to be individually insensible, and probably he intends that all are, although, to my knowledge, he never states that this is so. In the aggregate, in any case, particles do constitute perceptible bodies. As for the Greeks, so also for Locke, the particles arc all extended, having size and shape. They are said also to possess motion or rest, although he takes care to say that matter cannot produce motion in itself,e Locke frequently mentions other properties as being "primary" or "really in" material things. Some of these are solidity, texture, cohesion of parts, situation, and number. Apparently some of these may be ranked under others since, as he 1"Epistle to the Reader," Vol. I, p. 14. All footnotes refer to passages in John Locke's An Essay Concerning Human Understanding, collated and annotated, with prolegomena, biographical, critical, and historical by Alexander Campbell Fraser, in two volumes (New York, Dover Publications, Inc., 1959). Large Roman numerals refer to books of the Essay; small Roman numerals refer to chapters of the books; Arabic numerals refer to sections of the chapters. 2 IV, x, 10. [205] 206 HISTORY OF PHILOSOPHY remarks, figure presupposes extension, and receiving or communicating motion through impact presupposes solidity. The influences of these particles upon one another are treated by Locke under the topic of "powers," a notion which includes in it some kind of "secret relation of parts." 3 The capacities in any substance to give alterations of primary qualities are active powers; the capacities to receive such alterations are passive powers. This alteration must be accomplished by impact or impulse since this, Locke says, is the only way in which bodies can be conceived to operate. Sensation in the percipient being then is to be understood as a special case of this impact of particles upon others. It is evident to Locke that from external obiects some motion must be conveyed by some parts of our bodies to the brain or seat of sensation to produce in our minds the particular ideas we have of these external objects. We are able by sight to perceive at a distance the primary qualities of bodies of observable size. Locke reasons that therefore "... some singly imperceptible bodies must come from them to the eyes, and thereby convey to... (shrink)

Time, space, causality, communicating and acting together set limits on our freedom. Starting from the position of Wittgenstein, who advocates neither a position of pure subjectivity nor of pure objectivity, and taking into account what is implied by initiation into the symbolic order of language and culture, it is argued that the limitations on our freedom are not to be deplored. The problems of conservatism, relativism and scepticism—which confront us often in the context of education and child rearing—are inadequately (...) dealt with if attention is primarily focused on ways to resist or act differently. Following Cavell and his insistence that we should not try to escape from the existential conditions we find ourselves in and look for false certainties, the relevance of embracing a particular stance is elaborated. A commitment to giving substance to an ideal of ‘the good life’ is neither an injustice towards the other nor an ignorance of her freedom. On the contrary, here responsibility is accepted, and at the same time it is acknowledged that we always have only the particular points of departure that we contingently start from. Coming to terms with this kind of dependency constitutes living out the scepticism that is implied by our being human: the logic of this is given along with our human condition. (shrink)

This paper explores some aspects of the concept 'logic' and its relation to moral voice, and argues that Menssen uses it too narrowly in her respone to Orr's "Just the Facts. Ma'am" and the work of Carol Gilligan. Grounded in the work of the later Wittgenstein, it is argued that formalized logic misses much of natural logic: the concept of 'moral talk' is developed to theorize Gilligan's ethic of care; it is argued that this form of moral deliberation is not (...) argumentation in the formal sense; and the relationship between logic and epistemology is explored through the consideration of moral talk as a language-game which is woven into gendered forms of life. Finally, it is argued that the notion of a universal logic is the product of an oppressivc patriarchal culture and should not be defended by feminists. (shrink)

This volume deals with the connection between thinking-and-speaking and our form of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his (...) later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy. (shrink)

_On Being in the World_, first published in 1990, illumines a neglected but important area of Wittgenstein’s philosophy, revealing its pertinence to the central concerns of contemporary analytic philosophy. The starting point is the idea of ‘continuous aspect perception’, which connects Wittgenstein’s treatment of certain issues relating to aesthetics with fundamental questions in the philosophy of psychology. Professor Mulhall indicates parallels between Wittgenstein’s interests and Heidegger’s _Being and Time_, demonstrating that Wittgenstein’s investigation of aspect perception is designed to (...) cast light on much more than a bizarre type of visual experience: in reality, it highlights what is distinctively _human _about our behaviour in relation to things in the world, what it is that distinguishes our practical activity from that of automata. On Being in the World remains an invaluable resource for students of Wittgenstein’s philosophy, as well as anyone interested in negotiating the division between analytic and continental philosophy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:russell: the Journal of Bertrand Russell Studies n.s. 33 (winter 2013–14): 173–90 The Bertrand Russell Research Centre, McMaster U. issn 0036–01631; online 1913–8032 c:\users\kenneth\documents\type3302\rj 33,2 114 red.docx 2014-01-31 8:29 PM oeviews MODES AND LEVELS OF PERPLEXITY I. Grattan-Guinness Middlesex U. Business School Hendon, London nw4 4bt, uk [email protected] John Ongley and Rosalind Carey. Russell: a Guide for the Perplexed. London: Bloomsbury, 2013. Pp. ix, 212. isbn: 978-0-8264-9753-6. £45 (hb), (...) £14.99 (pb); us$80 (hb), us$24.95 (pb). i his book is the 41st in a series of guides to the work of various philosophers and philosopher groups, written at a level of readability for students. The authors survey the course of Bertrand Russell’s philosophical career, starting out with his work on logic and mathematics. The main philosophical tools are presented: in logic, they are term, proposition, proposition function, relation, paradox, and first- vis-à-vis higher-order logic. Then, moving on to epistemology, the principal philosophical notions are presented, such as sense-data, facts related to language, Russell’s overriding preference for positivistic philosophies and suspicions of metaphysics, knowledge by acquaintance and by description, theories of truth, logical atomism, percept, events, meaning, and inference in the context of scientific theories. It is nice to have many of the principal components of Russell’s philosophy exhibited together, including the later works An Inquiry into Meaning and Truth and Human Knowledge. The perplexed reader would like to be given precise references for Russell’s assertions on various points, especially when he was so prolific. A cited short item does not need more precision; but the two main chapters that cover the logic and epistemology story often seem to invoke The Principles of Mathematics or Principia Mathematica and yet contain only one precise citation of a longer text in their 64 pages (p. 85). The other chapters of the book are somewhat better in this respect. The index is excellent, though W. V. Quine was missed at pp. 29–30. The table of contents would have benefited from including the titles of the sections. q= 174 Reviews c:\users\kenneth\documents\type3302\rj 33,2 113 red.docx 2014-01-15 10:04 ii Much ground is covered; however, the account is mitigated by the failure to provide a biographical factual survey that should have constituted the opening chapter. Little or no description or explanation is given of, among others, Cambridge University, its mathematical tripos, Russell’s research fellowship in 1895, the philosophical journals Mind and The Monist, Russell’s conversion from neo-Hegelian to positivistic philosophy following G. E. Moore around 1899, the start of personal contacts with Giuseppe Peano in 1900, the gradual involvement of A. N. Whitehead from around 1902, the financial rescue of Principia Mathematica by the grant from the Royal Society in 1909, the serious mistake in Volume 2 detected by Whitehead in 1911 while it was in press, the initial contact with Ludwig Wittgenstein from 1911, Russell’s switch from logic to epistemology in the early 1910s, Whitehead’s intentions for the fourth volume of Principia that was abandoned in 1918, the circumstances of the second edition published in the mid-1920s, Russell’s partial return to serious philosophical writings from the mid-1930s onwards, or the Trinity fellowship from 1944. Presumably the authors have made most of these omissions intentionally ; but the target audience is the loser. The opening “introduction” does mention some of these events and publications ; but its purpose is to provide a preliminary look at some of the main features of Russell’s logic, including the comprehension axiom “that every predicate defines a class” (p. 3), type theory, definite descriptions, “the noclass theory of classes” (p. 10), and the status and role of “analysis”. Why do these features need prologues when the others do not? When they are re-discussed in the later chapters on logic and epistemology, several near-repetitions occur. Furthermore, quantification does not receive sufficient consideration in the book; and the logical connectives and rules of inference none at... (shrink)

This book is a collection of Rush Rhees' recent articles on Wittgenstein along with a record of Wittgenstein's comments on continuity made in private conversations in 1938. The first part of the book is on the Tractatus. It begins with a review of Anscombe's Introduction of which Rhees generally approves and then goes on to discuss the "picture theory" and language's capacity to get hold of reality. Rhees argues against Maslow that elementary statements are more than psychological phenomena but (...) must be spoken of in a purely formal sense. Commenting on Black's Companion he argues that Wittgenstein did not have in mind any ontological implications of logic when he was working on the Tractatus. Rhees uses his critique of Pitcher's Philosophy of Wittgenstein and an article on that philosophy to form the transition to the discussion of the later Wittgenstein. He insists that Wittgenstein taught more a method of seeing the depth of certain problems than a set of solutions to those problems. He introduces the theme of "publicness" by arguing that language involves the ability to "say something" and must thus involve publicity. In his article on "Wittgenstein's Builders" he argues that this ability to say something rests on the interrelation of language games and the unity of a form of life. Using this as a basis, he speaks of the Wittgensteinean approach to ethics as one of studying the way of saying something ethically in a certain language game rather than one of studying ethics in general. The essay on continuity begins with a discussion of the dependence of mathematical language on everyday language for meaning. Here Wittgenstein argues that mathematical language derives its sense from experiential language and not from eternal and immutable objects. He discusses the mathematical notion of continuity with an eye to the limits of its sense and shows that its sense is limited by ordinary notions of space and continuity and tests relating to them. This book is worth reading for both the presentation of basic approaches to understanding Wittgenstein and for the record of Wittgenstein's remarks on continuity which are unavailable elsewhere.--J. V. W. (shrink)

As an undergraduate I was taught to multiply two numbers with the help of log tables, using the formulaHaving graduated to teach calculus to Engineers, I learned that log tables were to be replaced by slide rules. It was then that Imade the fateful decision that there was no need for me to learn how to use this tedious device, as I could always rely on the students to perform the necessary computations. In the course of time, slide rules were (...) replaced by pocket calculators and personal computers, but I stuck to my original decision.My computer phobia did not prevent me from taking an interest in the theoretical question: what is a computation? This question goes back to Hilbert's 10th problem, which asks for an algorithm, or computational procedure, to decide whether any given polynomial equation is solvable in integers. It quickly leads to the related question: which numerical functionsf: ℕn→ ℕ are computable?While Hilbert's 10th problem was only resolved in 1970, this related question had some earlier answers, of which I shall single out the following three:f is recursive,f is computable on an abstract machine,f is definable in the untyped λ-calculus.These tentative answers were shown to be equivalent by Church [1936] and Turing [1936–7].I shall discuss here some of the more recent developments of these notions of computability and their relevance to linguistics and logic. I hope to be forgiven for dwelling on some of the work I have been involved with personally, with greater emphasis than is justified by its historical significance. (shrink)

This chapter examines the developments that led from Wittgenstein’s early logical atomist view that all meaningful discourse can be analyzed into logically independent elementary propositions to his later philosophy. In 1929, Wittgenstein rejected logical atomism for a “logical holist” conception of language as composed of calculi, formal systems characterized by their constitutive rules. By the mid-1930s, he had rejected the model of a calculus, emphasizing that language is action within a social and natural context — more (...) like a game than a calculus — and that rule-governed behavior is dependent on a background of practices which cannot themselves be explicitly formulated as rules. The discussion of these central developments for the emergence of his later “practical holism” focuses on changes in his conception of the nature of measurement and the role of mind and mental processes in linguistic meaning. (shrink)

An analysis of the sources of Wittgenstein’s picture theory — which include not only his moment of insight on reading a magazine story about the use of models in a traffic court, but also the work of Russell, Hertz, and Boltzmann — provides the basis for an exploration of Wittgenstein’s articulation of a pictorial conception of representation in his wartime notebooks and its crystallization in the Tractatus. A discussion of Wittgenstein’s later criticism of the picture theory and his (...) class='Hi'>notion of a “philosophical picture” illustrates the fundamental reversal in his transition to his later conception of philosophy: instead of taking literal pictures as a guide to the nature of meaning, he came to regard philosophical theories as akin to expressing an aesthetic preference for a certain style of representation. Wittgenstein’s treatment of factual language in the picture theory is related to his Tractarian approach to logical form, and the role of the show/say distinction in his early conception of logic and language. Particular attention is given to the difficulties generated by the idea that the conditions for the possibility of a given domain of discourse cannot be described in language, but must be shown by the form of words in question. (shrink)

Recent years have seen the appearance of many English-language hand books of logic and numerous monographs on topical discoveries in the foundations of mathematics. These publications on the foundations of mathematics as a whole are rather difficult for the beginners or refer the reader to other handbooks and various piecemeal contribu tions and also sometimes to largely conceived "mathematical fol klore" of unpublished results. As distinct from these, the present book is as easy as possible systematic exposition of the now (...) classical results in the foundations of mathematics. Hence the book may be useful especially for those readers who want to have all the proofs carried out in full and all the concepts explained in detail. In this sense the book is self-contained. The reader's ability to guess is not assumed, and the author's ambition was to reduce the use of such words as evident and obvious in proofs to a minimum. This is why the book, it is believed, may be helpful in teaching or learning the foundation of mathematics in those situations in which the student cannot refer to a parallel lecture on the subject. This is also the reason that I do not insert in the book the last results and the most modem and fashionable approaches to the subject, which does not enrich the essential knowledge in founda tions but can discourage the beginner by their abstract form. A. G. (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)