Abstract: Interpretations of the Tractatus divide into what might be called a metaphysical and an anti-metaphysical approach to the work. The central issue between the two interpretative approaches has generally been characterised in terms of the question whether the Tractatus is committed to the idea of ‘things’ that cannot be said in language, and thus to the idea of a distinctive kind of nonsense: nonsense that is an attempt to say what can only be shown. In this paper, I look (...) at this dispute from a different perspective, by focusing on the treatment of the concept of internal relations. By reference to the work of Peter Hacker, Hidé Ishiguro and Cora Diamond, I show how this concept is understood quite differently in each of the two interpretative traditions. I focus particularly on how Wittgenstein's idea of the ‘internal relation of depicting that holds between language and the world’ (Tractatus 4.014) might be understood within the two interpretative approaches. I offer some reasons in support of the anti-metaphysical treatment of the concept. (shrink)

There are currently two readings of Tractatus, the metaphysical and the therapeutic. I argue that neither of these is satisfactory. I develop a third reading, the elucidatory reading. This shares the therapeutic interpretation’s emphasis on the idea that Wittgenstein’s remarks are intended to work on the reader, but instead of seeing these remarks as directed (problematically) at revealing their own nonsensical status, I take the remarks to be aimed at bringing a certain order to the reader’s perception of language. The (...) point of this order, and the only test of it, is that it enables the philosophical problems to disappear. In particular, it dispels philosophical puzzlement concerning the status of logic, the relation between language and the world, and the relation between thought and language. (shrink)

The pressure to individuate propositions more finely than intensionally—that is, hyper-intensionally—has two distinct sources. One source is the philosophy of mind: one can believe a proposition without believing an intensionally equivalent proposition. The second source is metaphysics: there are intensionally equivalent propositions, such that one proposition is true in virtue of the other but not vice versa. I focus on what our theory of propositions should look like when it's guided by metaphysical concerns about what is true in virtue of (...) what. In this paper I articulate and defend a metaphysical theory of the individuation of propositions, according to which two propositions are identical just in case they occupy the same nodes in a network of invirtuation relations. Invirtuation is here taken to be a primitive relation of metaphysical explanation exemplified by propositions that, in conjunction with truth, defines the notion of true in virtue of. After formulating the theory, I compare it with a view.. (shrink)

The present paper is one installment in a lengthy task, the replacement of atomistic interpretations of Wittgenstein's Tractatus by a wholistic interpretation on which the world-in-logical-space is not constructed out of objects but objects are abstracted from out of that space. Here, general arguments against atomism are directed toward a specific target, the four aspects of the atomistic reading of Tractatus given in the Hintikkas' Investigating Wittgenstein (Hintikka & Hintikka 1986). The aspects in question are called the semantical, metaphysical, epistemological (...) and formal.What follows a précis of the Hintikkas' rendering of Wittgenstein's perspective is a characterization of the wholistic interpretation, comparing Wittgenstein's world and the transcendental conditions it sets upon possible notation to a blank page and the conditions it sets upon what is about to be written there. There will not be occasion to bring arguments against each plank in the atomist's platform or in support of each facet of wholism. But there is an extended treatment of the first two aspects — the semantical and metaphysical — which takes off from Wittgenstein's determination that, in his hands, logic must take care of itself. (shrink)

In this paper, elementary but hitherto overlooked connections are established between Wittgenstein's remarks on mathematics, written during his transitional period, and free-variable finitism. After giving a brief description of theTractatus Logico-Philosophicus on quantifiers and generality, I present in the first section Wittgenstein's rejection of quantification theory and his account of general arithmetical propositions, to use modern jargon, as claims (as opposed to statements). As in Skolem's primitive recursive arithmetic and Goodstein's equational calculus, Wittgenstein represented generality by the use of free (...) variables. This has the effect that negation of unbounded universal and existential propositions cannot be expressed. This is claimed in the second section to be the basis for Wittgenstein's criticism of the universal validity of the law of excluded middle. In the last section, there is a brief discussion of Wittgenstein's remarks on real numbers. These show a preference, in line with finitism, for a recursive version of the continuum. (shrink)

In 1975 I published an article on Gilbert Ryle's task/achievement analysis of teaching (), arguing that teaching was in Ryle's sense of the distinction a task verb. Philosophers of education were appealing to a distinction between tasks and achievements in their discussions of teaching, but they were often also appealing to Ryle's work on the analysis of task and achievement verbs. Many philosophers of education misunderstood Ryle's distinction as teaching was often claimed to be a term with both an achievement (...) sense and a task sense. In terms of Ryle's distinction a verb could not have both a task and an achievement sense. It will be argued that in recent (neo‐liberal) discussions of education, teaching is treated more as an achievement verb than as a task verb, contrary to my original claim that teaching was a task verb. ‘Teaching’ then would appear to have changed its meaning. If that is so, it is a function of altered approaches to teaching (and its teaching in Teacher Education), whereby unless something of value has been added then the teaching was not successful, or appropriate. (shrink)

What follows is the elaboration of a series of discussions held by the two authors at a seminar during which we tried to “read” Wim Wenders's Lisbon Story starting from Gregory Bateson's double bind theory. These discussions then developed into writings that were intertwined, hybridized, corrected, extended, and cut. We experimented directly with the game of relationships, the “mess that works” of the difficult distinction between map and territory, between epistemology and cinematography. Emerging from general considerations on cinema is the (...) double bind of the “crisis” of images, a prelude to a renewed faith in the creative and constructive possibilities of art: image not as a replica but as the experience of a relationship. (shrink)

Rom Harré criticizes critical realism for ascribing causal powers to social structures, arguing that it is human individuals, and not social structures, that possess causal powers, and that a false conception of structural causation undermines the emancipatory potential of critical realism. I argue that an interpretation of the category of process as the spatio-temporalization of the category of structure, which underpins much evolutionary theory, provides the conceptual tools to explain how the critical realist transformational model of social activity can escape (...) from Harré’s criticism, leading to a general conception of social development within which various types of evolutionary processes can be identified as particular cases. I then argue that Tony Lawson’s PVRS model provides an evolutionary perspective that enables the conceptualization of coercive power as selective pressure. (shrink)

According to one creation myth, analytic philosophy emerged in Cambridge when Moore and Russell abandoned idealism in favour of naive realism: every word stood for something; it was only after “the Fall,” Russell's discovery of his theory of descriptions, that they realized some complex phrases (“the present King of France”) didn't stand for anything. It has become a commonplace of recent scholarship to object that even before the Fall, Russell acknowledged that such phrases may fail to denote. But we need (...) to go further: even before the Fall, Russell had taken an altogether more discerning approach to the ontology of logic and relations than is usually recognized. (shrink)

In his recent paper, Winch attacks a group of theories he calls cognitivism. These theories agree in holding that ‘the ability to think, both consciously and subconsciously, amounts to an ability to internally manipulate symbolic representations of that which we think about.The relevance of this attack to education is that ‘Cognitivism’ supplies plausible‐looking reasons for thinking that learning can take place without instruction, practice, memorisation or training and its prestige as a theory of learning devalues those activities within education.Its rejection (...) should therefore lead us to re‐examine our need for explicit teacher‐oriented pedagogies’.Cognitivism has led to an emphasis on autonomous learning and a consequent devaluing of the role of overt teaching, ‘the active transmission of knowledge and technique by an authoritative figure’. (shrink)

Some formal ontological relations are identified, in the context of an account of ontological categorization. It is argued that neither formal ontological relations nor ontological categories should themselves be regarded as elements of being, but that this does not undermine the claim of formal ontology to be a purely objective science. It is also argued that some formal ontological relations, like some ontological categories, are more basic than others. A four‐category ontology is proposed, in which two basic categories of universals (...) and two basic categories of particulars are distinguished in terms of certain formal ontological relations characteristically obtaining between entities belonging to the different categories. (shrink)

Moral particularists have seen Wittgenstein as a close ally. One of the main reasons for this is that particularists such as Jonathan Dancy and John McDowell have argued that Wittgenstein's so-called "rule-following considerations" (RFCs) provide support for their skepticism about the existence and/or role of rules and principles in ethics. In this paper, I show that while Wittgenstein's RFCs challenge the notion that competence with language, i.e., the ability to apply concepts properly, is like mechanically following a rule, he does (...) not reject the idea that there are rules that govern proper use of language. I then argue that while the RFCs may, at best, support a weak form of particularism that denies that moral competence is dependent on an explicit grasp of rules, they do not support a stronger version of particularism that denies that there are any true rules or principles in ethics. (shrink)

The paper presents a formal explication of the early Wittgenstein's views on ontology, the syntax and semantics of an ideal logical language, and the propositional attitudes. It will be shown that Wittgenstein gave a language of thought analysis of propositional attitude ascriptions, and that his ontological views imply that such ascriptions are truth-functions of (and supervenient upon) elementary sentences. Finally, an axiomatization of a quantified doxastic modal logic corresponding to Tractarian semantics will be given.

This essay argues that nano-images would be best understood with an aesthetical approach rather than with an epistemological critique. For this aim, I propose a ‘techno-aesthetical’ approach: an enquiry into the way instruments and machines transform the logic of the sensible itself and not just the way by which it represents something else. Unlike critical epistemology, which remains self-evidently grounded on a representationalist philosophy, the approach developed here presents the advantage of providing a clear-cut distinction between image-as-representation and other modes (...) of existence of images, such as the one of ‘ imaginaction ’ that I draw from a comparison between far-field and near-field microscopies. Once this regime of imaginaction is distinguished from representation, I focus on nanotechnological percepts and argue that they follow a transmodal logic. I then draw the implications of this enquiry in terms of a new sensible condition that changes the way we think of non-living objects. Finally, I conclude that if techno-aesthetics dares to posit and articulate sensibility beyond the privileged sphere of subject/object relationships, it simultaneously engages us to consider the political character of our responsibilities towards the design of nano-engineered sensorial spaces. (shrink)

Frege ridiculed the formalist conception of mathematics by saying that the formalists confused the unimportant thing, the sign, with the important, the meaning. Surely, one wishes to say, mathematics does not treat of dashes on a bit of paper. Frege’s idea could be expressed thus: the propositions of mathematics, if they were just complexes of dashes, would be dead and utterly uninteresting, whereas they obviously have a kind of life. And the same, of course, could be said of any proposition: (...) Without a sense, or without the thought, a proposition would be an utterly dead and trivial thing. And further it seems clear that no adding of inorganic signs can make the proposition live. And the conclusion which one draws from this is that what must be added to the dead signs in order to make a live proposition is something immaterial, with properties different from all mere signs. But if we had to name anything which is the life of the sign, we should have to say that it was its use. (Blue Book, p. (shrink)

In his Tractatus Logico-Philosophicus Ludwig Wittgenstein (1889–1951) presents the concept of order in terms of a notational iteration that is completely logical but not part of logic. Logic for him is not the foundation of mathematical concepts but rather a purely formal way of reflecting the world that at the minimum adds absolutely no content. Order for him is not based on the concepts of logic but is instead revealed through an ideal notational series. He states that logic is “transcendental”. (...) As such it requires an ideal that his philosophical method eventually forces him to reject. I argue that Wittgenstein’s philosophy is more dialectical than transcendental. (shrink)

Michel Henry wishes to salvage Descartes’s first principle ‘I think, I am’ by claiming that there is no need to appeal to the world or others to make sense of the self. One of his main targets is Edmund Husserl, who claims that thought is necessarily intentional and thus necessarily about something that is other to thought. To show that this is not so, Henry draws on passages from Descartes’s texts which emphasize that we should not equate the cogito with (...) thinking but with sensation and imagination. This allows Henry to explore the notion that the self has its own form of manifestation. This paper questions Henry’s reading of Descartes and his critique of Husserl on two fronts. First, the passages Henry draws upon, if anything only confirm, rather than question Husserl’s claim that consciousness is intentional. Second, Henry believes that he can show that the life of the self is infinitely rich without having to appeal to other persons or, indeed, to the world. Yet, I wish to contend that Henry is mistaken: as Husserl has shown convincingly, a life without others and the world is not only impoverished and bereft of meaning, but remains entirely indeterminate. The self only manifests itself with respect to others and the world. (shrink)

This paper presents structural similarities and historical connections between Prior’s rejection of the Barcan formula and his critique of Berkeley’s master argument for idealism in his 1955 paper “Berkeley in Logical Form”. Making use of Mackie’s paper “Self-Refutation—A Formal Analysis”, it concludes with some suggestions concerning what is at stake in the debate between Prior and Berkeley and in structurally similar debates such as whether to accept the Barcan formula.

In his recent book, "The Metaphysicians of Meaning" (2000), Gideon Makin argues that in the so-called "Gray's Elegy" argument (the GEA) in "On Denoting", Russell provides decisive arguments against not only his own theory of denoting concepts but also Frege's theory of sense. I argue that by failing to recognize fundamental differences between the two theories, Makin fails to recognize that the GEA has less force against Frege's theory than against Russell's own earlier theory. While I agree with many aspects (...) of Makin's interpretation of the GEA, I differ with him regarding some significant details and present an interpretation according to which the GEA emerges as simpler, stronger, and more integrated. (shrink)

Pensons aux divers énoncés qui peuvent être composés à partir d'un ensemble fini ou dénombrable d'énoncés atomiques à l'aide de, disons, ‘˜’ et ‘&’; soit A n'importe lequel de ces énoncés; et soit l'ensemble SA des composantes atomiques de A. La valeur de vérité de A dépend évidemment des valeurs de vérité de certains membres de SA. En effet, si aux valeurs de vérité Vrai et Faux sont substitués les entiers 1 et 0, respectivement; la valeur de vérité VVV d'une (...) négation ˜A est 1–VV; et la valeur de vérité VV d'une conjonction A & B est min, VV), alors la valeur de vérité de A s'avère être une fonction numérique des valeurs de vérité de certains membres de SA. Et les fonctions de valeurs de vérité sont dites, à titre de résultat, récursivement définissables. (shrink)

I propose to show that the use that has often been made of wittgenstein's work in the philosophy of religion is innocuous. the notion that the meaning of a word or a sentence is the use to which it is put has been exploited in such a way that it neither does justice to religious belief nor to wittgenstein's thought. i endeavour to show that the burden of the positivist programme was not to withold from religious language the accolade of (...) 'meaning'. it was to show that no piece of language could be both meaningful and true (or false) which did not satisfy the conditions of either the analytic or the synthetic category. i conclude that wittgenstein's work can provide an effective liberation from positivism if it can be shown that wittgenstein gives us sufficient reason to reject the analytic-synthetic distinction not only as an inadequate criterion of 'meaning', but as an inadequate criterion of 'truth' as well. (shrink)

The need to distinguish between logical and extra-logical varieties of inference, entailment, validity, and consistency has played a prominent role in meta-ethical debates between expressivists and descriptivists. But, to date, the importance that matters of logical form play in these distinctions has been overlooked. That’s a mistake given the foundational place that logical form plays in our understanding of the difference between the logical and the extra-logical. This essay argues that descriptivists are better positioned than their expressivist rivals to provide (...) the needed account of logical form, and so better able to capture the needed distinctions. This finding is significant for several reasons: First, it provides a new argument against expressivism. Second, it reveals that descriptivists can make use of this new argument only if they are willing to take a controversial—but plausible—stand on claims about the nature and foundations of logic. (shrink)

In this paper, I make a contribution to a naturalistically-minded theory of truthmakers by proposing a solution to the nasty problem of truthmakers for negative truths. After formulating the difficulty, I consider and reject a number of solutions to the problem, including Armstrong's states of affairs of totality, incompatibility accounts, and JC Beall 's polarity view. I then defend the position that absences of truthmakers are real and are responsible for making negative truths true. According to the positive account of (...) absences I offer, absences of contingent states of affairs are causally relevant mind-independent features of the physical world, located within space and time, and capable of being discovered by scientific inquiry. Recognition of the reality of absences strengthens truthmaker theory as a naturalistic metaphysics, as truth and falsity of each and every contingent proposition finds an ontological grounding in some region of the physical universe. (shrink)

Abstract What sense are we to make of the promise of love against the contingency of human life? I discuss two replies to this question: (1) the suggestion that marriage, based on the probable success of this kind of relationship, is a more or less worthwhile endeavour (cf. Moller and Landau), and (2) Martha Nussbaum's Aristotelian proposal that we only live life fully if we embrace aspects of life, such as loving relationships, that are vulnerable to fortune. I show that (...) both responses, in different ways, depend on the presupposition that the sense of our promises to love is dependent on our ability to make predictions. The philosophers I discuss assume an epistemological standpoint from which we may attempt to judge whether it is in our general interest to love. I argue that embracing such a perspective by itself leads our attention away from the kind of personal and moral engagement in other people of which our promises to love are expressive. From the perspective of love, the attempt to calculate the risks and gains of loving itself appears as a moral failure to be present to the reality of other people. (shrink)

The paper offers a historical survey of the emergence of logical formalization in twentieth-century analytically oriented philosophy of religion. This development is taken to have passed through three main ?stages?: a pioneering stage in the late nineteenth and early twentieth centuries (led by Frege and Russell), a stage of crisis in the 1920s and early 1930s (occasioned by Wittgenstein, logical positivists such as Carnap, and neo-Thomists such as Maritain), and a stage of rehabilitation in the 1930s, 1940s, and 1950s (led (...) by the Cracow Circle and Quine). (shrink)

This paper discusses the phenomena of performativity and aestheticization and their implications for education. The forces of performativity pose a threat to music and the other arts, even though some advocators try to justify music education by appealing to their alleged performative results. At first sight, aestheticization seems to accord much better with music education but closer analysis of this many‐sided phenomenon also yields negative points: superficiality often reigns, overfeeding leads to anaesthesia, and the aesthetic itself is often controlled by (...) economic performativity. Even so, it is argued, the prospects of music education may not be as sombre as postmodern philosophy suggests. (shrink)

When Russell argued for his ontological convictions, for instance that there are negative facts or that there are universals, he expressed himself in English. But Wittgenstein must have noticed that from the point of view of Russell's ideal language these ontological statements appear to be pseudo-propositions. He believed therefore that what these statements pretend to say, could not really be said but only shown. Carnap discovered a way out of this mutism: what in the material mode of speech of the (...) object language looks like a pseudo-proposition can be translated into a perfectly meaningful proposition in the formal mode of speech (in the metalinguistic mode of speech of the logical syntax of language). But is this ascent into the metalanguage necessary? Taking advantage of Lésniewski's logical system there exists another way outwe can expand the number of categories of our ideal language. But Leniewski's formulas raise another profound problem, the problem of semantical muteness (cf. W. G. Lycan Semantic Competence and Funny Functors Monist 64 (1979), 209–222). (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

In this paper, I argue (a) that the predicate "true" is ambiguously used to express a deflationary and a substantial concept of truth and (b) that the two concepts are systematically related in that substantial truths are deflationary truths of a certain kind. Claim (a) allows one to accept the main insights of deflationism but still take seriously, and participate in, the traditional debate about the nature of truth. Claim (b) is a contribution to that debate. The overall position is (...) not new and it has previously been defended by supervaluationists about vagueness. However, the position is here motivated in a new, independent way, and an explanation is offered why some uses of "true" do not seem to require disambiguation. (shrink)

This paper presents an ethnomethodological analysis of the representation of space in hand-drawn maps. The rendering practice of hand drawn maps includes some systematic devices by which real space is transformed into two-dimensional space on paper and a map is recognized as the map representing a certain space. In other words, members use these devices not only to trace real space but also to enable the recognition of space in a specific mode. The paper deals with three distinctive patterns affording (...) accountability of geographical features: retention of the three-dimensionality of real space; formal resemblance with intertextuality; and identification of space by means of words. Retention of the 3D of space on map is the device that assigns 3D effect to maps and contributes to the perception of the figure as being similar to real space. Intertextuality bestows formal resemblance on various maps to secure the intersubjectivity and scientific objectivity of maps. Words entered on hand-drawn maps enable a reading of a correspondence of maps with real space. The representation of space makes sense by virtue of these devices that accomplish the recognizability of space between the drawers and readers of hand-drawn maps. (shrink)