Abstract: This paper explores the relevance of themes from Wittgenstein's Tractatus Logico-Philosophicus to the ongoing discussion of metaphysical nihilism. I set out by showing how metaphysical nihilism is of paramount importance for cosmological arguments. Metaphysical nihilism is the position that there might have been nothing. Two conflicting intuitions emerge from a survey of discussions of metaphysical nihilism: Firstly, that metaphysical nihilism is true, and secondly, that formulations of the position are somehow unclear or nonsensical. By considering formalizations of philosophical language, (...) the second intuition is sharpened, while the first intuition is given expression through the Tractarian distinction between what is said and what is shown by our symbolism. I conclude by exploring and rejecting objections to making metaphysical nihilism a scientific, rather than a philosophical question. (shrink)

Several accounts of logical truth are compared and shown to define distinct concepts. Nevertheless, conditions are given under which they happen to declare exactly the same sentences logically true. These conditions involve the variety of objects in the domain, the richness of the language, and the logical resources available. It is argued that the class of sentences declared logically true by each of the accounts depends on particularities of the actual world.

This paper is a philosophically informed contribution to debate about the values that might inform and be communicated by a further education. It includes a historical review of the concern of colleges of further education with economic and personal development that was reflected in the distinction between vocational and liberal studies. This distinction is seen to arise out of a mistaken epistemology which attempts to distinguish once and for all as it were, objective facts from subjective values. As instrumentalism came (...) to dominate the further education sector, the idea of liberal studies became obsolete and the sector might now appear to some commentators to be little concerned with values other than those of a monetary kind. The paper is focused on a traditional conception of further education colleges as places where people learn practices such as plumbing, joinery and hairdressing. It is argued that the distinction between academic and vocational practices is not based on the logic of the practices, but on the primary purpose of the person who is making the distinction. Practices such as plumbing, joinery and hairdressing are value laden as, more obviously, are other practices such as literary criticism and feminist pedagogy. The idea that the former type of practices are somehow value free and in need of additional study in moral competence or life skills is mistaken. Instead it is argued that all practices are evaluative and that an induction into any practice is bound to be a form of values education. (shrink)

Scientists use a variety of modes of representation in their work, but philosophers have studied mainly sentences expressing propositions. I ask whether diagrams are mere conveniences in expressing propositions or whether they are a distinct, ineliminable mode of representation in scientific texts. The case of path analysis, a statistical method for quantitatively assessing the relative degree of causal determination of variation as expressed in a causal path diagram, is discussed. Path analysis presents a worst case for arguments against eliminability since (...) path diagrams are usually presumed to be mathematically or logically “equivalent” in an important sense to sets of linear path equations. I argue that path diagrams are strongly generative, i.e., that they add analytical power to path analysis beyond what is supplied by linear equations, and therefore that they are ineliminable in a strong scientific sense. (shrink)

Dummettian anti-realism–the refusal to endorse bivalence–is generally thought to be associated with idealism This paper argues that this is only true of the position developed by early Dummett. In a later manifestation Dummettian anti-realism is better thought of as providing the logic for anti-realisms of an error theoretic kind. Early on Dummett distinguished deep from shallow arguments for giving up bivalence: deep arguments followed a strong ‘sufficiency’ reading of Frege’s context principle, and made the sentence the primary vehicle of meaning. (...) Enriched by an account of truth in terms of verifiability, deep arguments implied a form of linguistic idealism. From within a perspective that had already made ontology relative to theory, it was natural for the difference between realism and idealism to hinge on the notion of truth for sentences. Having given up the distinction between deep and shallow arguments against bivalence, Dummett, post 1990, asserts that every rejection of bivalence leads to a form of anti-realism. In the intervening years, he has also come to cast doubt on the sufficiency reading of the context principle, particularly as developed by Crispin Wright. These doubts open the space for some more simple-minded criticisms of this strong version of the context principle, developed in the paper. Once the sufficiency reading of the context principle is given up, arguments for failing to assert bivalence come to hinge on beliefs about ‘genuine’ existence. These forms of anti-realism cannot be taken to imply idealism. Rather, in many cases they will be the expression of views of an error-theoretic kind, that are quite compatible with a thorough-going rejection of idealism. (shrink)

This paper describes the materials in the Russell Archives relevant to Russell's work on logic and the foundations of mathematics, and suggests the kinds of information that may and may not be drawn about the historical development of his ideas. By way of illustration, a couple of episodes are described. The first concerns a logical system closely related to his theory of denoting, which preceeds the system used in Principia mathematics, while the second describes a delay in publishing the second (...) volume of that work due to the discovery by Whitehead of a conceptual error. (shrink)

SummaryThe conspicuous role of taxonomy and debates about taxonomy in the well‐established physical science of pedology throws into question the Popperian rejection of definition and classification.

Logicism is one of the great reductionist projects. Numbers and the relationships in which they stand may seem to possess suspect ontological credentials – to be entia non grata – and, further, to be beyond the reach of knowledge. In seeking to reduce mathematics to a small set of principles that form the logical basis of all reasoning, logicism holds out the prospect of ontological economy and epistemological security. This paper attempts to show that a fundamental logicist project, that of (...) defining the number one in terms drawn only from logic and set theory, is a doomed enterprise. The starting point is Russell's Theory of Descriptions, which purports to supply a quantificational analysis of definite descriptions by adjoining a 'uniqueness clause' to the formal rendering of indefinite descriptions. That theory fails on at least two counts. First, the senses of statements containing indefinite descriptions are typically not preserved under the Russellian translation. Second (and independently), the 'uniqueness clause' fails to trim 'some' to 'one'. The Russell–Whitehead account in Principia Mathematica fares no better. Other attempts to define 'one' are covertly circular. An ontologically non-embarrassing alternative account of the number words is briefly sketched. (shrink)

Although at present analytic philosophy is practiced mainly in the English-speaking world, it is to a considerable part the invention of German speakers. Its emergence owes much to Russell, Moore, and American Pragmatism, but even more to Frege, Wittgenstein, and the logical positivists of the Vienna Circle. No one would think of analytic philosophy as a specifically Anglophone phenomenon, if the Nazis had not driven many of its pioneers out of central Europe.

One of the most striking features of twentieth-century philosophy has been its obsession with language. For the most part, this phenomenon is greeted with hostile incredulity by external observers. Surely, they say, if philosophy is the profound and fundamental discipline which it has purported to be for more than two millennia, it must deal with something more serious than mere words, namely the things they stand for, and ultimately the essence of reality or of the human mind.

Abstract It is widely recognized that Heidegger's analysis of Dasein outlines a novel dissolution of the epistemological problems of modern philosophy. However it has not been fully appreciated that this analysis presupposes a conception of human beings which radically separates them from all natural, animal life. Focusing on Heidegger's analysis of Mitsein it is argued that this separation prevents Heidegger from achieving a conception of human existence which avoids the distortions of the humanist tradition against which it recoils. Against Heidegger, (...) it is argued that a philosophically satisfactory conception of human existence must be more smoothly naturalistic. (shrink)

In European philosophical psychology, the work of Jacques Lacan has exerted a great deal of influence but it has received little attention from analytic philosophers. He is famous for the view that the unconscious is a repository of influences arising from language and the meanings it captures, but the presentation of his ideas is sometimes perplexing and impenetrable and its conceptual links with analytic philosophers like Frege and Wittgenstein are not easily discerned. In fact, there are a number of such (...) links and they are worth pursuing for those interested in language, mind, and the unconscious. If we explore Lacan's claim about the link between signification and the tuchè (the encounter with the real) we find that the mental content of the subject is essentially tied to the external world both causally and linguistically. The means of tying the two together arise in the context of human interactions and therefore are charged with personal and emotive content as well as the semantic content with which we are normally concerned in philosophy of language. When we pursue the implications of his view it becomes plausible both that the unconscious is structured like a language and that language borrows much of its meaning and significance to a subject from the interpersonal medium through which it has been inscribed on that subject. His approach is therefore illuminating both for linguistics (especially psycholinguistics) and for the psychology of the unconscious. (shrink)

It is argued that, contrary to a rather prevalent view within economic theory, rationality does not imply Bayesianism. The note begins by defining these terms and justifying the choice of these definitions, proceeds to survey the main justification for this prevalent view, and concludes by highlighting its weaknesses.

Cara sui (care of the self) is a guiding thread in Foucault's later writings on ethics. Following Foucault in that inquiry, we are urged beyond our fairly superficial conceptions of consequences, harms, benefits, and the rights of persons, and led to examine ourselves and try to articulate the sense of life that animates ethical reasoning. The result is a nuanced understanding with links to virtue ethics and post-modern approaches to ethics and subjectivity. The approach I have articulated draws on the (...) phenomenology of Levinas and Heidegger, the Virtue ethics of Baier, and the post-structuralist writing of Michel Foucault. The subject is seen as negotiable, embodied, provisional and able to be transformed in a way that denies essentialism about human beings, their moral status, and the idea of the good. The human being emerges as responsible because, properly, responsive to the context of discourse in which morality becomes articulated. When we import this style of thinking into bioethics we find that it reaches beyond issues of policy or right conduct and allows us to use the biomedical sciences and the clinical world to revise and interrogate our understanding of ourselves and the theoretical foundations of health care ethics. (shrink)

Abstract: This article explains and motivates an account of one way in which we might have substantive a priori knowledge in one important class of domains: domains in which the central concepts are response-dependent. The central example will be our knowledge of the connection between something's being harmful and the fact that it is irrational for us to fail to be averse to that thing. The idea is that although the relevant responses (basic aversion in the case of harm, and (...) a kind of interpretive failure in the case of irrationality) are produced by independent psychological mechanisms, they have distal causes that turn out to be related in ways that—once language enters the picture—yield epistemically accessible necessary connections between the referents of their corresponding terms. (shrink)

Nous publions sous ce titre la traduction française de l'essai philosophique de Kurt Gödel intitulé: «Is Mathematics Syntax of Language?» Inédit jusqu'à présent, l'original paraîtra dans le 3e volume des Collected Works de Gödel, dont la publication est imminente. Nous savons par Hao Wang que, le 15 mai 1953, Paul Arthur Schilpp avait invité Gödel à apporter sa contribution au volume consacré à Carnap dans The Library of Living Philosophers. Le manuscrit de Gödel «Carnap and the Ontology of Mathematics», devait (...) être remis au plus tard le 2 avril 1954. Dés le 2 juillet 1953, Gödel donnait son accord à Schilpp pour la rédaction d'un article intitulé «Some Observations on the Nominalistic View of the Nature of Mathematics.» Cependant, le volume consacré à Carnap paraîtra en 1963 sans qu'y figure la contribution de Gödel. En effet — toujours selon Wang — Gödel avait informé Schilpp, le 2 février 1959, qu'il renonçait à l'envoi de l'article, dont il avait composé, surtout en 1954–1955, plusieur s versions sous le titre «Is Mathematics Syntax of Language?» Pour expliquer cet abandon, Wang avance les raisons suivantes: En premier lieu, Gödel était bien convaincu d'avoir réfuté la thése syntaxique, mais il n'était pas satisfait de son argumentation en faveur du platonisme. Deuxiémement, les critiques de Gödel s'adressent aux théses soutenues par Carnap en 1934 plutôt qu'à celles que ce dernier défendra vingt ans aprés, et qui paraissent moins hostiles au platonisme de son interlocuteur. II pouvait paraître douteux, en troisieme lieu, que Carnap ait eu le temps de rédiger, en 1959, la réponse qu'il aurait du faire, conformément aux régies de la collection, à Gödel. Or, en 1943 déjà, Gödel avait voulu retirer sa contribution au volume consacré à Russell dans la même serie, parce que ce dernier n'avait pu répondre à l'article de Gödel dont la rédaction lui avait été communiquée trop tardivement. (shrink)

We analyse Reach's puzzle, according to which it is impossible to be told anyone's name, because the statement conveying it can be understood only by someone who already knows what it says. We argue that the puzzle can be solved by adverting to the systematic nature of mention when it involves the use of standard quotation marks or similar devices. We then discuss mention more generally and outline an account according to which any mentioning expressions that are competent to solve (...) Reach's puzzle – and in particular those consisting of standard quotation marks and their fillings – have a descriptive analysis: we rebut the usual objections to this account, and show how it is superior to some of the alternatives in the literature. We conclude by briefly connecting the foregoing discussions with semantic theory. (shrink)

Formal series are associated with ascriptions of numbers. They are ordered by formal operations that, unlike negation and disjunction, are not truth-operations. In spite of this, they are required to build propositions involving generic reference to numbers, and are essential to the Tractarian version of the logicist project.

In my paper I identify both the conceptual tools needed to establish claims for the existence of conceptual ties, as well as the principles governing the use of those tools, and present a model of conceptual analysis. I identify and justify those principles in light of the conditions for the meaningfulness of expressions in language, which I extract from an analysis of the concept of meaning. The conclusions of this analysis are organized into a schematic model of the workings of (...) a language. According to this model, the meaning of every word in any language is determined by its role in the systematic mapping of all possible states of affairs included in its conceptual scheme. (shrink)

The purpose of this paper is twofold: first we outline a version of non-descriptivism, ‘minimal expressivism’, leaving aside certain long-standing problems associated with conventional expressivist views. Second, we examine the way in which familiar expressivist results can be accommodated within this framework, through a particular interpretation that the expressive realm lends to a theory of meaning. Expressivist theories of meaning address only a portion of the classical problems attributed to this position when they seek to explain why the expressions they (...) deal with have a given meaning. A position can nevertheless be termed ‘expressivist’ – in the minimal sense that we favor – based simply on the following key features of the meaning of these expressions: they can be used as functions of propositions, and they are not used to describe the way the world is. (shrink)

This article looks at the practice of Fred Newman’s performance-based methodology—informed by the work of Marx, Vygotsky and Wittgenstein—in addressing the assumed gap between thinking and doing, reflection and activity, or to use Marx’s terms, interpretation and change. Changing the world involves mass activity. However, acting en masse has historically generated and depended upon ideology, which tends toward the elimination of reflection and dialogue, thus severely handicapping the development of the activity for change. How do we participate in the human (...) activity of changing the world and simultaneously comprehend/reflect on our practice in such a way that allows for its further development, unencumbered by the dead weight of ideology? Is it possible, as Marx postulated, to bridge the gap between reflecting and doing, between interpreting the world and changing the world? The affirmative answer—“perform”—is presented in historical and philosophical detail. (shrink)

A conjecture on the metaphysical nature of Tractatus objects is put forward and its interpretative adequacy is tested. The clarification of the true import of the metaphor of logical space and the recognition of the theoretical role played by Wittgenstein's explicit claim that the emptiness of logical space is conceivable enable us to account for the thesis that objects are the substance of the world. Once objects are identified with those universal abstract entities which are qualia, and complexes or states (...) of affairs with their concrete instances, some statements of the Tractatus become liable to a consistent reading: that objects are colourless ; that space, time and colour are forms of objects ; that Leibniz's Principle of the Identity of Indiscernibles, though still holding for complexes, does not apply to objects . Lastly, it is shown how the interpretation of objects as qualia sheds a vivid light on the theme of the relation between objects and time. (shrink)

This paper presents the content of the unpublished notes that the Dutch mathematician Arend Heyting wrote in different periods of his life on solipsism and that are preserved in Heyting's archive at the University of Amsterdam. Most of the notes are quoted here and translated into English. Their study shows the originality of Heyting's reflections on a subject that was typical of his master, L. E. J. Brouwer, the father of intuitionism.

This essay represents part of an effort to rewrite the history metaphysics in terms of what philosophy never said, nor could say. It works from the Neoplatonic commentary tradition on Plato's Parmenides as the matrix for a distinctively apophatic thinking that takes the truth of metaphysical doctrines as something other than anything that can be logically articulated. It focuses on Damascius in the 5—6th century AD as the culmination of this tradition in the ancient world and emphasizes that Neoplatonism represents (...) the crisis of Greek metaphysics on account of the inability to give a rational account of foundations for knowing and of the ultimate principle of beings. Neoplatonism discovered how all such ultimate principles were necessarily beyond the reach of reason and speech. This apophatic insight is drawn out with the help of contemporary criticism of Neoplatonic philosophy, defining also some points of divergence. The essay then discusses the motives for thinking the unsayable in postmodern times on the basis of this parallel with Neoplatonic thought. Discourse's becoming critical of itself to the point of self-subversion animates them both. However, the tendency in postmodern thought to totally reject theology, including negative theology, is a betrayal of its own deepest motivations. This tendency is debated through an examination of the thought of Jean-Luc Nancy. While any traditional discourse can be negated, the negating and self-negating capacity of discourse itself is infinite, and this is where a perennial negative theological philosophy of the unsayable is to be located. Language, eminently the language of philosophy, as infinitely open, points in a direction which becomes equally and ineluctably theological. (shrink)

The concept ‘silence’ has diametrically opposed meanings; it connotes peace and contemplation as well as death and oblivion. Silence can also be considered a practice. There is keeping the rule of silence to still the mind and find inner truth, as well as forcibly silencing in the sense of subjugating another to one's own purposes. The concept of teaching runs the gamut between these extremes, from respectfully leading students to search and discover, to relentlessly bending them to one's own will. (...) This article examines contradictory connotations and practices of silence and teachers’ ambivalent perceptions of it in order to conceptualize a positive practice of silence for teacher education. (shrink)

This article studies the emergence of ambiguity in communication through the concept of logical irreversibility and within the framework of Shannon’s information theory. This leads us to a precise and general expression of the intuition behind Zipf’s vocabulary balance in terms of a symmetry equation between the complexities of the coding and the decoding processes that imposes an unavoidable amount of logical uncertainty in natural communication. Accordingly, the emergence of irreversible computations is required if the complexities of the coding and (...) the decoding processes are balanced in a symmetric scenario, which means that the emergence of ambiguous codes is a necessary condition for natural communication to succeed. (shrink)

The aim of this paper is to help refine the definition of humans as “linguistic animals” in light of a comparative approach on nonhuman animals’ cognitive systems. As Uexküll & Kriszat (1934/1992) have theorized, the epistemic access to each species-specific environment (Umwelt) is driven by different biocognitive processes. Within this conceptual framework, I identify the salient cognitive process that distinguishes each species typical perception of the world as the faculty of language meant in the following operational definition: the ability to (...) connect different elements according to structural rules. In order to draw some conclusions about humans’ specific faculty of language, I review different empirical studies on nonhuman animals’ ability to recognize formal patterns of tokens. I suggest that what differentiates human language from other animals’ cognitive systems is the ability to categorize the units of a pattern, going beyond its perceptual aspects. In fact, humans are the only species known to be able to combine semantic units within a network of combinatorial logical relationships (Deacon 1997) that can be linked to the state of affairs in the external world (Wittgenstein 1922). I assume that this ability is the core cognitive process underlying a) the capacity to speak (or to reason) in verbal propositions and b) the general human faculty of language expressed, for instance, in the ability to draw visual conceptual maps or to compute mathematical expressions. In light of these considerations, I conclude providing some research questions that could lead to a more detailed comparative exploration of the faculty of language. (shrink)

In this paper I explore a neglected discussion of vagueness put forward by Wittgenstein in his Philosophical Grammar (1932–34). In this work, unlike Philosophical Investigations (1953), Wittgenstein not only discusses the venerable Sorites paradox but provides a novel conception of vagueness using an analogy with coin tossing and converging intervals. As he sees it, the problematic picture of vagueness arises because we conflate aspects of the functioning of vague concepts with those of non-vague ones. Thus, while we accept that vague (...) concepts have no sharp cut-off points (are boundaryless), we nevertheless retain the idea that we can progress towards the penumbra the way we progress towards the cut-off points of non-vague concepts. As a potential remedy, Wittgenstein's analogy with coin tossing and converging intervals replaces this picture and provides an understanding of the functioning of vague concepts in which no notion of a progression arises. (shrink)

InThe Education of the Human Race, G. E. Lessing helps his readers understand why the propositions of the Old Testament are pseudo-propositions, or why they do not resemble the significant propositions of natural science but thetautologicalpropositions of mathematics and of logic. That is, the so-called propositions of the Old Testament do not teach readers whether what actually happens is this or that; rather what they teach us is to imagine expressions by substitution in such a way as to throw their (...) structure into relief. One of Lessing's most attentive readers was Wittgenstein. Or perhaps only Wittgenstein would have been able to grasp so immediately Lessing's insight that the tautological or pseudo-propositions of the Old Testament invite thinkingonlywhen readers use them to understand ‘what is the case’ in the pictures the propositions have – logically – constructed. Thus in this essay I use Wittgenstein's reading of Lessing to throw light on his work in theTractatus. Rather than take up the new logician's interest in completely analyzing expressions, Wittgenstein insists in theTractatusthat the expressions we use, even those that seem to be propositions or that contain assertions, are in fact designed to be elucidatorywithoutsaying anything about the nature of the subjects that figure in them. Wittgenstein's great insight was to see that the propositional signs of our language are able to bring something to mindwithoutsaying what is a representation of what. (shrink)