Many interpreters of the Tractatus accept that the book endorses an argument for simples based on the reflection that, since complexes exist only contingently, if names referred to complexes the propositions in which they figure would lack sense if their referents went out of existence. More specifically, most interpreters read 2.0211-2.0212 as putting forward this argument. My main goal in this paper is to attack this reading and to put forward an alternative. I argue that there is no good reason (...) for thinking that the Tractatus advances this argument. I argue that 2.0211-2, in particular, should not be read in this way, and put forward an alternative reading of the passage. (shrink)

Si decidiésemos clasificar las teorías éticas en “inmanentistas” (aquellas que cifran lo éticamente aceptable en algún tipo de eventos del mundo, como por ejemplo el crecimiento utilitarista del beneficio general) y “trascendentalistas” (aquellas que ubican en algún espacio más allá de este mundo y esta vida el motivo de por qué comportarnos éticamente –por ejemplo, debido a alguna suerte de recompensa ultraterrena–), entonces el pensamiento moral del llamado “primer” Wittgenstein ocuparía un lugar especial entre ambos extremos de tal dicotomía. En (...) cierta medida, podría decirse que la propuesta ética del Wittgenstein que reflexionaba en torno a los años de composición del Tractatus guarda un delicado equilibrio que evita tanto su exclusivo sometimiento ante instancias trascendentales (fundamentos), como su asimilación total por parte de motivaciones inmanentes (provechos) a la hora de justificar el hecho de actuar de un modo correcto. En el presente artículo nos asomaremos a tal pirueta wittgensteiniana entre ambos miembros del dualismo trascendente-inmanente, y sugeriremos que el peculiar lugar en que deja lo ético, entre lo celestial y lo terrenal, acaso no sea del todo ajeno a tesis de la religión cristiana como la de la encarnación de lo divino en el mundo terreno. (shrink)

The paper presents an interpretation of the thinking behind the early Wittgenstein's "general form of the proposition." It argues that a central role is played by the assumption that all domains of discourse are governed by the same laws of logic. The interpretation is presented partly through a comparison with ideas presented recently by Michael Potter and Peter Sullivan; the paper argues that the above assumption explains more of the key characteristics of the "general form of the proposition" than Potter (...) and Sullivan suppose, including, in particular, its claim that the bases from which all other propositions are derived must be elementary propositions. (shrink)

The paper presents an interpretation of the thinking behind the early Wittgenstein's “general form of the proposition.” It argues that a central role is played by the assumption that all domains of discourse are governed by the same laws of logic. The interpretation is presented partly through a comparison with ideas presented recently by Michael Potter and Peter Sullivan; the paper argues that the above assumption explains more of the key characteristics of the “general form of the proposition” than Potter (...) and Sullivan suppose, including, in particular, its claim that the bases from which all other propositions are derived must be elementary propositions. (shrink)

In this discussion I argue that Peter Sullivan is wrong to suggest that Wittgenstein's position in the Philosophical Investigations involves a commitment to transcendental idealism. I show that Sullivan's interpretation involves holding that transcendental idealism was employed by Wittgenstein in the attempt to combat a Platonist mythology. I show, through a detailed appraisal of Wittgenstein's discussion of samples, that Wittgenstein's approach to Platonism does not involve any such employment of transcendental idealism. I conclude that there is no such motivation as (...) Sullivan finds in Wittgenstein for endorsing transcendental idealism, and that we ought not, therefore, ascribe to him such a view. (shrink)

In a notorious passage from his Philosophical Investigations, Wittgenstein writes that one can state of the standard metre neither that it is one metre long, nor that it is not one metre long. While many commentators have rejected this claim, it has been commonly assumed that Wittgenstein himself endorsed it. In a recently published article, Thomas Müller not only provides a novel argument against Wittgenstein's claim about the standard metre but also claims that Wittgenstein did not actually endorse that claim. (...) In this paper, I argue that Müller's exegetical thesis is false and that his novel argument against Wittgenstein's claim about the standard metre is unsound. (shrink)

In this paper, I shall investigate Wittgenstein's ‘private language argument,’ that is, the argument to be found in Philosophical Investigations 243-315. Roughly, this argument is intended to show that a language knowable to one person and only that person is impossible; in other words, a ‘language’ which another person cannot understand isn't a language. Given the prolonged debate sparked by these passages, one must have good reason to bring it up again. I have: Wittgenstein's attack on private languages has regularly (...) been misinterpreted. Moreover, it has been misinterpreted in a way that draws attention away from the real force of his arguments and so undercuts the philosophical significance of these passages. (shrink)

The relation between Wittgenstein's philosophy of mathematics and mathematical Intuitionism has raised a considerable debate. My attempt is to analyse if there is a commitment in Wittgenstein to themes characteristic of the intuitionist movement in Mathematics and if that commitment is one important strain that runs through his Remarks on the foundations of mathematics. The intuitionistic themes to analyse in his philosophy of mathematics are: firstly, his attacks on the unrestricted use of the Law of Excluded Middle; secondly, his distrust (...) of non-constructive proofs; and thirdly, his impatience with the idea that mathematics stands in need of a foundation. These elements are Fogelin's starting point for the systematic reconstruction of Wittgenstein's conception of mathematics. (shrink)

Identity, we're told, is the binary relation that every object bears to itself, and to itself only. But how can a relation be binary if it never relates two objects? This puzzled Russell and led Wittgenstein to declare that identity is not a relation between objects. The now standard view is that Wittgenstein's position is untenable, and that worries regarding the relational status of identity are the result of confusion. I argue that the rejection of identity as a binary relation (...) is perfectly tenable. To this end, I outline and defend a logical framework that is not committed to an objectual identity relation but is nevertheless expressively equivalent to first-order logic with identity. After it has thus been shown that there is no indispensability argument for objectual identity, I argue that we have good reasons for doubting the existence of such a relation, and rebut a number of attempts at discrediting these reasons. (shrink)

The main question addressed by this article is this: How should one understand the role of the sentences of the Tractatus, given Wittgenstein’s statement that they are nonsensical? I begin with a presentation of three general principles of interpretation in order to avoid answering the question in an inappropriate way. I then move on to a short presentation and commentary on a selection of readings – namely, the ineffabilist, resolute and elucidatory ones – and elaborate the answers given by advocates (...) of these to the question explored here. I agree on many points with resolute and elucidatory readings: the Tractatus presents an austere conception of nonsense, and is not a book that seeks to present ontological or semantic theories. I point out, however, that these readings cannot fully explain the nature of Tractarian elucidations. Then I discuss those parts of the Tractatus which refer to the sentences of the book itself. The main proposal of my own approach is this: Tractarian elucidations should be construed as rules of translation, in that they show how to substitute certain expressions for others. They enable us to construct a notation in which everything that is expressible in ordinary language can be said perspicuously. (shrink)

Abstract This paper offers an appraisal of Phillip Pettit's approach to the problem how a merely finite set of examples can serve to represent a determinate rule, given that indefinitely many rules can be extrapolated from any such set. I argue that Pettit's so-called ethnocentric theory of rule-following fails to deliver the solution to this problem he sets out to provide. More constructively, I consider what further provisions are needed in order to advance Pettit's general approach to the problem. I (...) conclude that what is needed is an account that, whilst it affirms the view that agents' responses are constitutively involved in the exemplification of rules, does not allow such responses the pride of place they have in Pettit's theory. (shrink)

Contra an expanding number of deflationary commentators onWittgenstein, I argue that philosophical questions about meaningare meaningful and that Wittgenstein gave us ample reason tobelieve so. Deflationists are right in claiming that Wittgensteinrejected the sceptical problem about meaning allegedly to befound in his later writings and also right in stressing Wittgenstein''s anti-reductionism. But they are wrong in taking these dismissals to entail the end of all constructive philosophizing about meaning. Rather, I argue, the rejection of the sceptical problem requires that we (...) abandon the questions that philosophers have traditionally addressed and that we replace them with more appropriate ones, to which constructive answers are forthcoming. However, though quietism is not the only alternative to reductionism, the rejection of reductionism does oblige us seriously to revise our sense of what constructive philosophy can achieve. (shrink)

This paper forges links between early analytic philosophy and the posits of semiotics. I show that there are some striking and potentially quite important, but perhaps unrecognized, connections between three key concepts in Wittgenstein’s middle and later philosophy, namely, complex, rule-following, and language games. This reveals the existence of a conceptual continuity between Wittgenstein’s “early” and “later” philosophy that can be applied to the analysis of the iterability of representation in computer-generated images. Methodologically, this paper clarifies to at least some (...) degree, the nature, progress and promise of an approach to doing philosophy and semiotics from a modally modest perspective that sees in the intellectual products of humanities, and not in unreflective empiricism, the future of scientific development. This hybrid, non-reductionist approach shows, among other things, that semiotic processes are encoded by specific types of complexes in computer-generated images that display iterability in time and space. (shrink)

This paper reconsiders the notion that Nagarjuna and Wittgenstein’s Tractatus may only be seen as comparable under a shared ineffability thesis, that is, the idea that reality is impossible to describe in sensible discourse. Historically, Nagarjuna and the early Wittgenstein have both been widely construed as offering either metaphysical theories or attempts to refute all such theories. Instead, by employing an interpretive framework based on a ‘resolute’ reading of the Tractatus, I suggest we see their philosophical affinity in terms of (...) a shared conception of philosophical method without proposing theses. In doing so, this offers us a new way to understand Nagarjuna’s characteristic claims both to have ‘no views’ and refusal to accept that things exist ‘inherently’ or with ‘essence’. Therefore, instead of either a view about the nature of a mind-independent ‘ultimate reality’ or a thesis concerning the rejection of such a domain, I propose that we understand Nagarjuna’s primary aim as ‘therapeutic’, that is, concerned with the dissolution of philosophical problems. However, this ‘therapy’ should neither be confined to the psychotherapeutic metaphor nor should it be taken to imply a private enlightenment only available to philosophers. Instead, for Nagarjuna and Wittgenstein, philosophical problems are cast as a source of disquiet for all of us; what their work offers is a soteriology, a means towards our salvation. (shrink)

The over-arching claim that I intend to defend in this paper is that while widespread ‘local’ error is conceivable, we cannot, in the end, make sense of the radical sceptical idea that all our perceptual beliefs might be false – that no one has, as it were, ever been in touch with an ‘external world’ at all. To this end, I will show that an asymmetry exists between ‘local’ and ‘global’ sceptical scenarios, such that the possibility of ‘local’ error does (...) not imply that ‘global’ error must also be possible. Instead, we will see that what gives rise to the radical sceptical problem is an unquestioned acceptance of the ‘New Evil Genius Thesis’ (NET) – the notion that I and my ‘envatted’ counterpart share the same perceptual experiences, even though my benighted twin has never had any contact with an ‘external’ reality. Although most contemporary epistemologists take NET for granted, I will show that it cannot, ultimately, be rendered intelligible, and, consequently, that neither can the ‘global’ sceptical scenario that depends on it. (shrink)

This paper aims to motivate a scepticism about scepticism in contemporary epistemology. I present the sceptic with a dilemma: On one parsing of the BIV (brain-in-a-vat) scenario, the second premise in a closure-based sceptical argument will turn out false, because the scenario is refutable; on another parsing, the scenario collapses into incoherence, because the sceptic cannot even save the appearances. I discuss three different ways of cashing out the BIV scenario: ‘Recent Envatment’ (RE), ‘Lifelong Envatment’ (LE) and ‘Nothing But Envatment’ (...) (NBE). I show that RE scenarios are a kind of ‘local’ sceptical scenario that does not pose a significant threat to the possibility of perceptual knowledge as such. I then go on to consider the more radical (or global) LE and NBE scenarios, which do undermine the possibility of perceptual knowledge of an ‘external’ world by positing that it is conceivable that one has always been envatted and, hence, trapped in a ‘global’ illusion. I start by assuming that we could be in such a scenario (LE or NBE) and then spell out what we would need to presuppose for such scenarios to be capable of being actual. Drawing on some central insights from Wittgenstein’s anti-private language considerations, I show that the truth of a global scepticism would presuppose the possibility of a private ‘vat-language’, a notion that cannot be rendered coherent. But, if so, then neither can the sceptical scenarios that presuppose such a conception. (shrink)

Une question très discutée chez les interprètes de Wittgenstein est celle de savoir comment comprendre le paradoxe au sujet des règles dont il parle dans le paragraphe 201 des Recherches philosophiques. Ilécrit: ‘Notre paradoxe était le suivant: une règle ne pourrait déterminer aucune conduite parce que n'importe quelle conduite pourrait être mise en accord avec la règle’. Un peu plus haut, il faisait dire à son interlocuteur: ‘“Mais comment une règle peut-elle m'apprendre ce que je dois faire en ce point? (...) Peu importe ce que je fais, cela pourra s’ accorder suivant une interprétation ou une autre avec la règle “’. (shrink)

The review praises the philosophical quality, but is less enthusiastic about the scholarship and historical accuracy.

Wittgenstein's conception of the general form of a truth function given in thesis 6 can be presented as a sort of a trade-off: the author of the Tractatus is unable to reconcile the simplicity of his original idea of a series of forms with the simplicity of his generalisation of Sheffer's stroke; therefore, he is forced to sacrifice one of them. As we argue in this paper, the choice he makes – to weaken the logical constraints put on the concept (...) of a series of forms, thus effectively metaphorising that concept for the sake of upholding the N-operation's role of generating the series – is unfortunate. An actual expansion of a series of truth functions as defined in 6 would require either making decisions at each step (Anscombe) or outwardly rejecting the concept of a series (Sundholm). However, neither is faithful to Wittgenstein's own fundamental intuitions regarding the nature of logic. For this reason, a different trade-off that prioritises upholding the basic features of a series of forms over the simplicity of the operation that generates that series seems to be much more reasonable. We offer such a trade-off by developing the schema already present in the Tractatus (5.101). The key element of our alternative solution is the construction of an operation that can perform the task of producing all consecutive truth functions of a given collection of atomic propositions as an invariant difference between any base and its successor throughout the series. We define it as a composition of three functions (in an algebraic sense): the first turns a symbol of a given truth function into a binary number, the second increments that number, the third turns the result back into a symbol of another truth function. We also show how the operation can be defined by means of a different notation without invoking binary arithmetic. (shrink)

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

The conditions involved in the applicability of mathematics in science are the subject of ongoing debates. One of the best‐received approaches is the inferential account, which involves structural mappings and pragmatic considerations in a three‐step model. According to the inferential account, these pragmatic considerations happen in the immersion and interpretation stages, but not during derivation (symbol‐pushing in a mathematical formalism). In this work, I draw inspiration from the later Wittgenstein and make the case that the applicability of mathematics also rests (...) on pragmatic considerations at the mathematical derivation level. I make the further case that pragmatic considerations at the mathematical derivation level may substitute pragmatic considerations in the other two stages, thus showing how they are holistically interrelated. I illustrate these two points with the solution of a simple geometrical problem. (shrink)

In Culture and Value Wittgenstein remarks: ‘Thoughts that are at peace. That's what someone who philosophizes yearns for’. The desire for such conceptual tranquillity is a recurrent theme in Wittgenstein's work, and especially in his later ‘grammatical-therapeutic’ philosophy. Some commentators (notably Rush Rhees and C. G. Luckhardt) have cautioned that emphasising this facet of Wittgenstein's work ‘trivialises’ philosophy – something which is at odds with Wittgenstein's own philosophical ‘seriousness’ (in particular his insistence that philosophy demands that one ‘Go the bloody (...) hard way’). Drawing on a number of correlations between Wittgenstein's conception of philosophy and that of the Pyrrhonian Sceptics, in this paper I defend a strong ‘therapeutic’ reading of Wittgenstein, and show how this can be maintained without ‘trivialising’ philosophy. (shrink)

Proposition 5.122 of Wittgenstein’s Tractatus has been the source of much puzzlement among interpreters, so much so that no fully satisfactory account is yet available. This is unfortunate, if only because the containment account of logical consequence has a venerable tradition behind it. Pasquale Frascolla’s interpretation of proposition 5.122 is based on a valid argument and one true premise. However, the argument explains sense containment only in an indirect way, leaving some crucial questions unanswered. Besides, Frascolla does not address the (...) issue of how to make sense containment notationally perspicuous, an essential theme in Wittgenstein’s reflections. In this paper, we elaborate on Frascolla’s account by looking at the issue through the Tractarian notion of logical space. Our analysis shows that, for containment to be fully appreciated, one should adopt a negative perspective on the notion of sense, in line with the exclusionary theory of conceptual content, as labelled by Ian Rumfitt. Besides this, we introduce and discuss two methods—one envisaged by Wittgenstein himself—for making sense containment notationally perspicuous. (shrink)

It is argued that, although there are no ineffable truths, the concept of ineffability nevertheless does have application—to certain states of knowledge. Towards the end of the essay this idea is related to religion: it is argued that the language that results from attempting (unsuccessfully) to put ineffable knowledge into words is very often of a religious kind. An example of this is given at the very end of the essay. This example concerns the Euthyphro question: whether what is right (...) is right because God wills it, or whether God wills it because it is right. (shrink)

I present a reconstruction of the logical system of the Tractatus, which differs from classical logic in two ways. It includes an account of Wittgenstein’s “form-series” device, which suffices to express some effectively generated countably infinite disjunctions. And its attendant notion of structure is relativized to the fixed underlying universe of what is named. -/- There follow three results. First, the class of concepts definable in the system is closed under finitary induction. Second, if the universe of objects is countably (...) infinite, then the property of being a tautology is \Pi^1_1-complete. But third, it is only granted the assumption of countability that the class of tautologies is \Sigma_1-definable in set theory. -/- Wittgenstein famously urges that logical relationships must show themselves in the structure of signs. He also urges that the size of the universe cannot be prejudged. The results of this paper indicate that there is no single way in which logical relationships could be held to make themselves manifest in signs, which does not prejudge the number of objects. (shrink)

In this paper, I offer a close reading of Wittgenstein's remarks on inconsistency, mostly as they appear in the Lectures on the Foundations of Mathematics. I focus especially on an objection to Wittgenstein's view given by Alan Turing, who attended the lectures, the so-called ‘falling bridges’-objection. Wittgenstein's position is that if contradictions arise in some practice of language, they are not necessarily fatal to that practice nor necessitate a revision of that practice. If we then assume that we have adopted (...) a paraconsistent logic, Wittgenstein's answer to Turing is that if we run into trouble building our bridge, it is either because we have made a calculation mistake or our calculus does not actually describe the phenomenon it is intended to model. The possibility of either kind of error is not particular to contradictions nor inconsistency, and thus contradictions do not have any special status as a thing to be avoided. (shrink)

Name der Zeitschrift: Nordic Wittgenstein Review Jahrgang: 2 Heft: 1 Seiten: 33-56.

In this paper, I first review previous interpretations of Wittgenstein's remarks on private language, revealing their inadequacies, and then present my own interpretation. Basing mainly on Wittgenstein's notes for lectures on private sensations, I establish the following points: ‘remembering the connection right’ means ‘reidentifying sensation-types’; the reason for ‘no criterion of correctness’ is that nothing, especially no inner mechanisms nor external devices, can be utilised by the private speaker to tell whether some sensations are of one type or different types; (...) and private names are not really names, private language is not really a language, therefore, private language is a grammatical illusion. My interpretation has the advantage of being able to reconcile Wittgenstein's conception of philosophy, which is to dissolve philosophical problems by rearranging grammatical facts, with his actual philosophical practice, at least in the case of private language. (shrink)

Wittgenstein harshly criticized what he considered “mythologies” infecting our understanding of how mathematics work. He was especially reluctant to the idea that they describe a realm of abstract entities influencing our cognitive capacities. Several Wittgenstein scholars have drawn the conclusion that his analysis results in a sociological interpretation of mathematics. The present paper aims at demonstrating that although mathematical practices deserve to be called “social” this doesn’t necessarily leads us to the conclusion that they are offered to sociological explanation.

In his Tractatus, Wittgenstein maintained that arithmetic consists of equations arrived at by the practice of calculating outcomes of operations$\Omega ^{n}(\bar {\xi })$defined with the help of numeral exponents. Since$Num$(x) and quantification over numbers seem ill-formed, Ramsey wrote that the approach is faced with “insuperable difficulties.” This paper takes Wittgenstein to have assumed that his audience would have an understanding of the implicit general rules governing his operations. By employing the Tractarian logicist interpretation that theN-operator$N(\bar {\xi })$and recursively defined arithmetic (...) operators$\Omega ^{n}(\bar {\xi })$are not different in kind, we can address Ramsey’s problem. Moreover, we can take important steps toward better understanding how Wittgenstein might have imagined emulating proof by mathematical induction. (shrink)

In this essay, I seek to demonstrate the interplay of philosophical voices – particularly, that of a platonist voice and a community-agreement-view voice – that drives Wittgenstein’s rule-following dialectic forward; and I argue that each voice succumbs to a particular form of dialectical oscillation that renders its response to the problem of rule-following philosophically inadequate. Finally, I suggest that, by seeing and taking stock of the dilemma in which these responses to the skeptical problem are caught, we can come to (...) appreciate Wittgenstein’s own view of what might constitute a proper a response to the so-called problem of rule-following. This view can be preliminarily characterized by saying that Wittgenstein’s aim is to dissolve the temptation to philosophically rebut the skeptical challenge posed by the rule-following dialectic, an aim he achieves by revealing the semantic emptiness of the apparent sentences that raise the skeptical problem. (shrink)

One of the central logical ideas in Wittgenstein’sTractatus logico-philosophicusis the elimination of the identity sign in favor of the so-called “exclusive interpretation” of names and quantifiers requiring different names to refer to different objects and (roughly) different variables to take different values. In this paper, we examine a recent development of these ideas in papers by Kai Wehmeier. We diagnose two main problems of Wehmeier’s account, the first concerning the treatment of individual constants, the second concerning so-called “pseudo-propositions” (Scheinsätze) of (...) classical logic such as$a=a$or$a=b \wedge b=c \rightarrow a=c$. We argue that overcoming these problems requires two fairly drastic departures from Wehmeier’s account: (1) Not every formula of classical first-order logic will be translatable into asingleformula of Wittgenstein’s exclusive notation. Instead, there will often be a multiplicity of possible translations, revealing the original “inclusive” formulas to beambiguous. (2) Certain formulas of first-order logic such as$a=a$will not be translatable into Wittgenstein’s notation at all, being thereby revealed as nonsensical pseudo-propositions which should be excluded from a “correct” conceptual notation. We provide translation procedures from inclusive quantifier-free logic into the exclusive notation that take these modifications into account and define a notion of logical equivalence suitable for assessing these translations. (shrink)

Wittgenstein's "Tractatus" claims the possibility to represent quantificational logic by means of a single basic operation. Fogelin regards the "Tractatus" system as seriously flawed and thus not suited for this aim, while Geach and Soames propose extensions and corrections of the Tractarian notational system. If the unusual Tractarian view -- every variable can be conceived as a propositional variable -- is taken full account of, we find out, that the "Tractatus" system is well suited to deal even with the problematic (...) cases of mixed quantifiers with many-place predicates. By expanding the view of variables as certain two-dimensional lists of propositions we find adequate representations of formulas like fxy in the logic of the "Tractatus". Surprisingly we don't need anything which corresponds to formulas with two or more free variables like fxy, and still get the full power of ordinary quantificational logic. (shrink)

Drawing Wittgenstein's and Irigaray's philosophies into conversation might help resolve certain misunderstandings that have so far hampered both the reception of Irigaray's work and the development of feminist praxis in general. A Wittgensteinian reading of Irigaray can furnish an anti-essentialist conception of "woman" that retains the theoretical and political specificity feminism requires while dispelling charges that Irigaray's attempt to delineate a "feminine" language is either groundlessly utopian or entails a biological essentialism.

It is argued that the finitist interpretation of wittgenstein fails to take seriously his claim that philosophy is a descriptive activity. Wittgenstein's concentration on relatively simple mathematical examples is not to be explained in terms of finitism, But rather in terms of the fact that with them the central philosophical task of a clear 'ubersicht' of its subject matter is more tractable than with more complex mathematics. Other aspects of wittgenstein's philosophy of mathematics are touched on: his view that mathematical (...) propositions are 'grammatical propositions' (and so, Strictly speaking, Not genuine propositions at all) and his view that in mathematics 'everything is algorithm, Nothing meaning'. His views on consistency and his anti-Foundationalism are linked with this central thesis. (shrink)

Wittgenstein's insistence in his later philosophy that explanation comes to an end in the explication of what it is to follow a rule provides a locus for the awakening of wonder, analogous to the mystical awe referred to in the "Tractatus". While Wittgenstein did not explore this analogy, it provides a point of entry into the examination of the relevance of his work to religious concerns. Every regular practice is built on capacities of reaction, uptake, and response which are the (...) endpoints of explanation, whose sheer givenness in their relation to our physical and social environment can bring on amazement. This wonder at the end of explanation has been explored -- from quite a different perspective -- by Stephen Gould, whose conclusions complement Wittgenstein's own. (shrink)

It is a little understood fact that the system of formal logic presented in Wittgenstein’s Tractatusprovides the basis for an alternative general semantics for a predicate calculus that is consistent and coherent, essentially independent of the metaphysics of logical atomism, and philosophically illuminating in its own right. The purpose of this paper is threefold: to describe the general characteristics of a Tractarian-style semantics, to defend the Tractatus system against the charge of expressive incompleteness as levelled by Robert Fogelin, and to (...) give a semantics for a formal language that is the Tractarian equivalent of a first-order predicate calculus. Of note in regard to the latter is the fact that a Tractatusstyle truth-definition makes no appeal to the technical trick of defining truth in terms of the satisfaction of predicates by infinite sequences of objects, yet is materially equivalent to the usual Tarski-style truth-definitions. (shrink)

This book symposium on Jason Holt’s Kinetic Beauty: The Philosophical Aesthetics of Sport includes commentaries from Stephen Mumford, John E. MacKinnon and Andrew Edgar with replies from Holt.

Philosophical Investigations, Volume 45, Issue 2, Page 130-145, April 2022.

Russell is often accused of having a naive ‘Fido’–Fido theory of meaning of the sort Wittgenstein attacked at the beginning of the Philosophical Investigations. In this paper I argue that he never held such a theory though I concede that, prior to 1918, he said various things that might lead a very careless reader to suppose that he had. However, in The Analysis of Mind, a book which we know Wittgenstein studied closely, Russell put forward an account of understanding an (...) utterance which clearly anticipates the use theory of meaning usually attributed to Wittgenstein. The paper concludes with some problems for understanding the use theory of meaning as presented by both Russell and, derivatively, Wittgenstein. (shrink)

In §50 of Philosophical Investigations Wittgenstein wrote the sentence, “There is one thing of which one can say neither that it is one metre long, nor that it is not one metre long, and that is the standard metre in Paris.” Although some interpreters have claimed that Wittgenstein’s statement is mistaken, while others have proposed various explanations showing that this must be correct, none have questioned the fact that he intended to assert that it is impossible to describe the standard (...) meter as being a meter long. Given that Wittgenstein introduces this sentence as analogous to the claim that “existence cannot be attributed to an element,” and that the preceding passages discuss a language-game the simples of which can be described by their own names, there is good reason to think that Wittgenstein did not intend to assert this infamous sentence. (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)