Wittgenstein held that Russell’s multiple relation theory of judgment fails to explain an atomic judgment’s representation of entities as combined. He demonstrated this failure as follows. Under the multiple relation theory, an atomic judgment is a complex whose relating relation is judgment, the universal, and whose terms include the entities the judgment represents as combined. Taking such a complex we may arrive through the substitution of constituents at a complex whose relating relation is again judgment but whose terms do not (...) include entities which are logically suited for combination. This second judgment complex will not represent any of its terms as combined, for entities that are logically uncombinable are unrepresentable as combined. Russell’s theory does not, however, explain how the original judgment differs from the complex arrived at by the substitution of constituents such that the former but not the latter represents certain of its terms as combined. (shrink)

Along with offering an historically-oriented interpretive reconstruction of the syntax of PM ( rst ed.), I argue for a certain understanding of its use of propositional function abstracts formed by placing a circum ex on a variable. I argue that this notation is used in PM only when de nitions are stated schematically in the metalanguage, and in argument-position when higher-type variables are involved. My aim throughout is to explain how the usage of function abstracts as “terms” (loosely speaking) is (...) not inconsistent with a philosophy of types that does not think of propositional functions as mind- and language-independent objects, and adopts a nominalist/substitutional semantics instead. I contrast PM’s approach here both to function abstraction found in the typed λ-calculus, and also to Frege’s notation for functions of various levels that forgoes abstracts altogether, between which it is a kind of intermediary. (shrink)

A significant discrepancy in Wittgenstein's studies is whether Philosophical Investigations contains any trace of positive philosophy, notwithstanding the author's apparent anti-theoretic position. This study argues that the so-called ‘Chapter on philosophy’ in the Investigations §§89–133 contains negative and positive vocabulary and the use of various voices through which Wittgenstein employs his primary method of language-games, thus providing a surveyable understanding of several philosophical concepts, such as knowledge and time. His positive philosophy aims to reorient our attention from understanding the theories (...) on these concepts to understanding the concepts themselves, regardless of any theorisation. (shrink)

I discuss the account of logical consequence advanced in Wittgenstein's Tractatus. I argue that the role that elementary propositions are meant to play in this account can be used to explain two remarkable features that Wittgenstein ascribes to them: that they are logically independent from one another and that their components refer to simple objects. I end with a proposal as to how to understand Wittgenstein's claim that all propositions can be analysed as truth functions of elementary propositions.

This paper aims to argue against the resolute reading, and offer a correct way of reading Wittgenstein'sTractatus. According to the resolute reading, nonsense can neither say nor show anything. The Tractatus does not advance any theory of meaning, nor does it adopt the notion of using signs in contravention of logical syntax. Its sentences, except a few constituting the frame, are all nonsensical. Its aim is merely to liberate nonsense utterers from nonsense. I argue that these points are either not (...) distinctive from standard interpretations or incorrect. Instead, the Tractarian elucidations help to shed light on the nature of language and logic, and introduce the correct method in philosophy. Philosophy deals with philosophical utterances and Tractarian elucidations by pointing out that they are nonsensical. By doing this, one is helped to see that what they appear to be saying is shown by significant propositions saying something else. (shrink)

I start from Phillips' discussion of Rhees's dissatisfaction with the idea of a language‐game. Then, from a rereading of Moore, I go on to exemplify interconnected uses of the expressions “language‐game,”“recurrent procedure,”“world‐picture,”“formal procedure,”“agreement in judgment,”“genre picture” and “form of life.” The discussion is related to sense perception, our knowledge of time and space, and the picture‐theory. These topics connect with Wittgenstein's earlier treatment of the will – which changed markedly later. The subtext (in footnotes) confronts (i) the sceptical methods of (...) Descartes and Hume with the grammatical methods of Leibniz, Kant and Wittgenstein, and (ii) the realism of Leibniz and the Tractatus with the transcendental idealism of Kant. My conclusion is that, although the method of Wittgenstein's later work remains in a sense grammatical, (i) in its new form it can free us from the conviction that the intellect can and must resolve one way or the other the conflicts that arise in the course of the latter confrontation, and that (ii), although release from such a conviction is to be seen as the aim of philosophical discourse in general, it allows philosophy to retain its overriding significance. A positive element in that lies in the respect the method demands for that in a human life which is transcendental to the activity of scientific theorising: respect, therefore, for the unique perspective of the individual historical agent. (shrink)

On the assumption that theistic religious commitment takes place in the face of evidential ambiguity, the question arises under what conditions it is permissible to make a doxastic venture beyond one’s evidence in favour of a religious proposition. In this paper I explore the implications for orthodox theistic commitment of adopting, in answer to that question, a modest, moral coherentist, fideism. This extended Jamesian fideism crucially requires positive ethical evaluation of both the motivation and content of religious doxastic ventures. I (...) suggest that, even though the existence of horrendous evil does not resolve evidential ambiguity in favour of atheism, there are reasonable value commitments that would preclude those who hold them from satisfying extended Jamesian fideist conditions for committing themselves to classical theism. I then begin a discussion of a possible revisionary theistic alternative (in the Christian tradition) which – one might hope – may meet those conditions. An earlier, shorter, version of this paper was delivered as a keynote address at the APA Pacific 2007 Mini-Conference on Models of God. (shrink)

This essay explores the idea of acting from knowledge. This idea is a thought of ourselves: the distinctive way in which we act, in which we live, resides in this, that our actions, our life, may rest on knowledge. Yet the idea of action resting on knowledge is puzzling, even mysterious. The difficulty springs from the character of judgment that is knowledge: its objectivity. The objectivity of a judgment is a character of its validity: it is objectively valid. Yet it (...) is equally, and therefore, a character of the source of the reality of a valid judgment: a judgment that is knowledge is explained by nothing other than that which constitutes its validity. Now, action from knowledge partakes of this character of the knowledge on which it rests: it is explained by nothing other than what constitutes its validity, that is, its goodness. This dissolves the idea that action springs from a natural power, a power of change, a physis. That is the mystery. What could action be but the act of a natural power, and what could we be but agents of such a power? (shrink)

Recently, Irad Kimhi has argued that negation and falsehood can be made intelligible by understanding assertions/judgements as acts of two-way logical capacities. These are capacities that are, at the same time, for (1) positive and negative assertions/judgements and (2) positive and negative facts. Kimhi’s account of negation and falsehood, however, faces severe problems. I argue that these problems can be resolved, and that a new understanding of cases of negation and falsehood can be achieved, by regarding two-way logical capacities for (...) assertion/judgement and facts as established and undergirded by what Ludwig Wittgenstein calls “samples”. The standard metre sample, for instance, establishes and undergirds the capacity for asserting that something, x, is one metre long (meaning: x is like the standard metre in length). At the same time, it establishes and undergirds the capacity for the fact that x is one metre long (when x is like the standard metre in length). As I explain, invoking samples means we cannot say, as Kimhi wants to, what assertion/judgement, negation, and facts, in general, are but can only show what they are, one case at a time. This, however, is a boon not a disadvantage. (shrink)

Quine maintained that philosophical and scientific theorizing should be conducted in an untyped language, which has just one style of variables and quantifiers. By contrast, typed languages, such as those advocated by Frege and Russell, include multiple styles of variables and matching kinds of quantification. Which form should our theories take? In this article, I argue that expressivity does not favour typed languages over untyped ones.

In this paper I aim to elucidate Wittgenstein’s claim that the so-called dream argument is senseless. Unlike other interpreters, who understand the sentence “I am dreaming” as contradictory or self-defeating, I intend to elucidate in what sense one should understand it as senseless or, more precisely, as nonsensical. In this sense, I propose to understand the above-mentioned claim in light of Wittgenstein’s criticism of skepticism from the _Tractatus logico-philosophicus_ to his last writings. I intend to show that the words “I (...) am dreaming” are nonsensical in the same sense as the alleged proposition “There are physical objects” or the expression of doubt about the existence of external objects. (shrink)

It is necessary to reconsider P. M. S. Hacker’s assessment of Kant and Wittgenstein’s philosophical affinities and the question concerning Wittgenstein’s alleged use of “transcendental arguments”. First, Alfred Norman’s reading of the Tractatus Logico-Philosophicus as a thought experiment receives revision to develop a view of the Critique of Pure Reason as a large-scale thought experiment that shares important logical features with the Tractatus. Then the question is addressed whether the middle Wittgenstein and the pre-critical Kant employed any thought experiments that (...) could be equally characterised as “transcendental arguments”. A rational reconstruction of both thinkers’ arguments is carried out in the light of the contemporary literature on thought experimenting. The novelty and relevance of this approach is the emphasis laid upon a largely neglected affinity between Kant and Wittgenstein, namely the systematic use of thought experiments in their epistemological pursuits. The conclusions are: i) Wittgenstein’s and Kant’s magna opera can be seen as philosophical thought experiments that attempt to try out the limits of language and the limits of possible experience respectively; ii) Both philosophers developed arguments that can be designated as transcendental if only from a methodological standpoint; and iii) some key arguments put forward by the middle Wittgenstein in the determination of the structure of visual space could be characterised better as thought experiments than transcendental arguments. (shrink)

The present text discusses whether there is a tension between aphorisms 6.1-6.13 of the Tractatus and the Church-Turing theorem about the decidability of predicate logic. We attempt to establish the following points: (i) Aphorisms 6.1-6.13 are not consistent with the Church-Turing theorem. (ii) The logical symbolism of the Tractatus, built from the N-operator, can (and should) be interpreted as expressively complete with respect to first-order formulas. (iii) Wittgenstein’s reasons for believing that Logic is decidable were purely philosophical and the undecidability (...) result shows that there are aspects of his criticisms of Frege and Russell that become unjustified in light of these results. (shrink)

Dialetheism is the view that some contradictions are true. Resorting to either metaphysical dialetheism or semantic dialetheism may seem like an appropriate resolve to certain theological contradictions. At least for those who concede to theological contradictions, and take dialetheism seriously. However, I demonstrate that neither of these types of dialetheism would serve to be amenable in resolving an Islamic theological contradiction. This is a theological contradiction that I refer to as ‘the paradox of an unknowable and ineffable God’. As a (...) result of this, I propose an alternative type of dialetheism which aims to resolve the paradox of an unknowable and ineffable God. I call this type of dialetheism, ‘mystical dialetheism’. (shrink)

In recent years, philosophers have used expressions of Wittgenstein’s (e.g. “language-games,” “form of life,” and “family resemblance”) in attempts to conceive of the discipline of philosophy in a broad, open, and perhaps global way. These Wittgenstein-inspired approaches indicate an awareness of the importance of cultural and historical diversity for approaching philosophical questions. While some philosophers have taken inspiration from Wittgenstein in embracing contextualism in philosophical hermeneutics, Wittgenstein himself was more instrumental than contextual in his treatment of other philosophers; his focus (...) in his writings was on his own philosophical problems. Does this mean that Wittgensteinian philosophy is a poor resource after all for comparative, cross-cultural, or globally-engaged philosophy (i.e. if it is properly Wittgensteinian)? In this article, I examine the relevance of Wittgenstein to contextually-sensitive philosophy through studies of his conceptions of history and culture, his interest in Spengler’s philosophy of history, and recent scholarship by Hans-Johann Glock and Hans Sluga on the place of contextualism in Wittgenstein’s analysis of philosophical problems. Ultimately, this article advances the view that there are strong resources in Wittgenstein’s philosophy for those seeking a more globally-engaged approach to the field. (shrink)

Why did such highly abstract ideas as truth, knowledge, or justice become so important to us? What was the point of coming to think in these terms? This book presents a philosophical method designed to answer such questions: the method of pragmatic genealogy. Pragmatic genealogies are partly fictional, partly historical narratives exploring what might have driven us to develop certain ideas in order to discover what these do for us. The book uncovers an under-appreciated tradition of pragmatic genealogy which cuts (...) across the analytic-continental divide, running from the state-of-nature stories of David Hume and the early genealogies of Friedrich Nietzsche to recent work in analytic philosophy by Edward Craig, Bernard Williams, and Miranda Fricker. However, these genealogies combine fictionalizing and historicizing in ways that even philosophers sympathetic to the use of state-of-nature fictions or real history have found puzzling. To make sense of why both fictionalizing and historicizing are called for, the book offers a systematic account of pragmatic genealogies as dynamic models serving to reverse-engineer the points of ideas in relation not only to near-universal human needs, but also to socio-historically situated needs. This allows the method to offer us explanation without reduction and to help us understand what led our ideas to shed the traces of their practical origins. Far from being normatively inert, moreover, pragmatic genealogy can affect the space of reasons, guiding attempts to improve our conceptual repertoire by helping us determine whether and when our ideas are worth having. (shrink)

The notion of more truth, or of more truth and less falsehood, is central to epistemology. Yet, I argue, we have no idea what this consists in, as the most natural or obvious thing to say—that more truth is a matter of a greater number of truths, and less falsehood is a matter of a lesser number of falsehoods—is ultimately implausible. The issue is important not merely because the notion of more truth and less falsehood is central to epistemology, but (...) because an implicit, false picture of what this consists in underpins and gives shape to much contemporary epistemology. (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 a previous paper, I argued that the later Wittgenstein did not endorse a realist account of ethics, where a realist account is understood to involve a claim to truth as well as objectivity. In this paper, I respond to a number of critical questions that Benjamin De Mesel raises about that interpretation. I agree with him that just as there are uses for expressions such as “truth”, “fact” and “reality” in ethics, there are uses for expressions such as “objectivity” (...) that do not involve a deeper realist commitment. But I uphold and reinforce my claim that objectivity in ethics as the realist conceives it is ruled out by Wittgenstein, who describes the correspondence between ethical expressions and reality in an entirely different way. (shrink)

We argue that all general concepts are family resemblance concepts. These include concepts introduced by ostension, such as colour. Concepts of colour and of each of the specific colours are family resemblance concepts because similarities concerning an open-ended range of colour or of appearance features crop up and disappear. After discussing the notion of “same colour” and Wittgenstein's use of the phrase “our colours”, we suggest family resemblance concepts in one tradition can often be extended to family resemblance concepts in (...) another tradition, illustrated by Wittgenstein's use of the words Spiel and “game”. (shrink)

Frege's philosophical writings, including the “logistic project,” acquire a new insight by being confronted with Kant's criticism and Wittgenstein's logical and grammatical investigations. Between these two points a non-formalist history of logic is just taking shape, a history emphasizing the Greek and Kantian inheritance and its aftermath. It allows us to understand the radical change in rationality introduced by Gottlob Frege's syntax. This syntax put an end to Greek categorization and opened the way to the multiplicity of expressions producing their (...) own intelligibility. This article is based on more technical analyses of Frege which Claude Imbert has previously offered in other writings. (shrink)

I argue for the Wittgensteinian thesis that mathematical statements are expressions of norms, rather than descriptions of the world. An expression of a norm is a statement like a promise or a New Year's resolution, which says that someone is committed or entitled to a certain line of action. A expression of a norm is not a mere description of a regularity of human behavior, nor is it merely a descriptive statement which happens to entail a norms. The view can (...) be thought of as a sort of logicism for the logical expressivist---a person who believes that the purpose of logical language is to make explicit commitments and entitlements that are implicit in ordinary practice. The thesis that mathematical statements are expression of norms is a kind of logicism, not because it says that mathematics can be reduced to logic, but because it says that mathematical statements play the same role as logical statements. ;I contrast my position with two sets of views, an empiricist view, which says that mathematical knowledge is acquired and justified through experience, and a cluster of nativist and apriorist views, which say that mathematical knowledge is either hardwired into the human brain, or justified a priori, or both. To develop the empiricist view, I look at the work of Kitcher and Mill, arguing that although their ideas can withstand the criticisms brought against empiricism by Frege and others, they cannot reply to a version of the critique brought by Wittgenstein in the Remarks on the Foundations of Mathematics. To develop the nativist and apriorist views, I look at the work of contemporary developmental psychologists, like Gelman and Gallistel and Karen Wynn, as well as the work of philosophers who advocate the existence of a mathematical intuition, such as Kant, Husserl, and Parsons. After clarifying the definitions of "innate" and "a priori," I argue that the mechanisms proposed by the nativists cannot bring knowledge, and the existence of the mechanisms proposed by the apriorists is not supported by the arguments they give. (shrink)

Words have meaning. Sentences also have meaning, but their meaning is different in kind from any collection of the meanings of the words they contain. I discuss two puzzles related to this difference. The first is how the meanings of the parts of a sentence combine to give rise to a unified sentential meaning, as opposed to a mere collection of disparate meanings (UP1). The second is why the formal ontology of linguistic meaning changes when grammatical structure is built up (...) (UP2). For example, the meaning of a sentence is a proposition evaluable for truth and falsity. In contrast, a collection of the meanings of its parts does not constitute a proposition and is not evaluable for truth. These two puzzles are closely related, since change in formal ontology is the clearest sign of the unity of meaning. The most popular strategy for answering them is taking the meanings of the parts as abstractions from primitive sentence meanings. However, I argue that, given plausible psychological constraints, sentence meanings cannot be taken as explanatory primitives. Drawing on recent work in Generative Grammar and its philosophy, I suggest that the key to both unity questions is to distinguish strictly between lexical and grammatical meaning. The latter is irreducible and determines how lexical content is used in referential acts. I argue that these referential properties determine a formal ontology, which explains why and how formal ontology changes when grammatical structure is built up (UP2). As for UP1, I suggest that, strictly speaking, lexical meanings never combine. Instead, whenever grammar specifies a formal ontology for the lexical meanings entering a grammatical derivation, further lexical (or phrasal) meanings can only specify aspects of this recursive grammatical process. In this way, contemporary grammatical theory can be used to address old philosophical problems. (shrink)

This article is a discussion of a dominant (and mostly taken-for-granted) discourse of multicultural education (the phrase 'intercultural education' is sometimes used). My aim is, simply, to highlight two issues which, I think, are insufficiently dealt with in relation to multicultural education: the observation that differences can be irreconcilable and the idea of change. In the first part of this article, I try to sketch this discourse by giving some examples in which some characteristic markers of this discourse are illustrated (...) (such as the idea of initiation in a variety of perspectives, of inclusion of a diversity of viewpoints, hearing multiple voices, of enrichment of our own way of looking at the world, etc.). In the second part of this article, I will rehearse some familiar concepts regarding what it means to be initiated into socio-historical and cultural practices, drawing mainly on Cavell. The point here is to bring out a sense of a human being's embeddedness in a form of life that at the same time cuts very deep (i.e. affectively, even physically, anchored) and is incomplete (i.e. there is an irreducible, though unidentifiable lack), for the purpose of addressing the two issues mentioned (irreconcilable differences and change). Here the theme of voice (and what is involved in owning a voice) will be briefly developed, again by drawing on Cavell. In the final part of this article, I will try to draw some implications for multicultural education. (shrink)

Individual responsibility is usually articulated either in terms of an individual’s intentions or in terms of the consequences of her actions. However, many of the situations we encounter on a regular basis are structured in such a way as to render the attribution of individual responsibility unintelligible in intentional or consequential terms. Situations of this type require a different understanding of individual responsibility, which I call conditioned responsibility. The conditioned responsibility model advances that, in such situations, responsibility arises directly out (...) of the conditions in which the individual finds herself, irrespective of her intentions or of the consequences of her actions. This model gives rise to a series of challenges, some of which, I propose, can be addressed by drawing on Wittgenstein’s later notion of form of life, together with the notion of honesty implicit in his early approach to ethics. (shrink)

In this paper, I want to claim that, in conformity with overall intuitions, there are some aesthetic properties that are perceivable. For they are high-level properties that are not only grasped immediately, but also attended to holistically—just like the grouping properties they depend on and that are responsible for the Gestalt effects or switches through which they are grasped. Yet, unlike such grouping properties, they are holistically attended to in a disinterested modality, where objects and their properties are regarded for (...) their own sake. (shrink)

In this article I offer a novel explanation of Wittgenstein’s claim, in his Tractatus, that to represent the logical form of a proposition would require our being positioned outside of logic. The account here presented aims to exploit a connection, widely noticed, between the logical forms of objects and those of the propositions in which the names of those objects figure. I show that the logical forms of propositions may, on Wittgenstein’s view, be identified with places in logical space, and (...) that places in logical space are reducible to the forms of both objects and their names. I argue, though, that according to Wittgenstein the representation of a proposition’s logical form would require the existence of a place in logical space not so reducible. I conclude that on Wittgenstein’s position, the attempt to represent logical forms cannot, therefore, succeed. (shrink)

ABSTRACT Despite all fundamental divergences, the similarities formed between some interpretations of the later-Wittgenstein’s philosophy of religion and the tradition of Islamic Mysticism, can yet be philosophically recognized. These basic analogies are as follows: 1) The inextricability of belief and practice and the priority of practice over knowledge 2) The characterization of the core religious beliefs as the primal ground of man’s perception and understanding, in contrast to the view that considers fundamental religious beliefs as theoretical conclusions derived from purely (...) rational courses of reflection 3) A new practice-laden narrative of religious realism. Given that, one can even shed a new Wittgensteinian light on even the most abstract and metaphysical elements of the mystical worldview. If fundamental religious beliefs are interpreted not as metaphysical doctrines but as a set of descriptions arising from a specific form of practical life, then the ability to see a sort of transcendent and sacred unity in the whole universe will be based on a way of purposive engagement and wayfaring in the natural and social world. (shrink)

In this article I explore some implications of the correspondence that went on between Ludwig Wittgenstein and the logician and mathematician Gottlob Frege. Part of this exchange was focused on the envisaged publication of Wittgenstein’s Tractatus Logico-Philosophicus, and on the philosophical or literary character of that work. The problem discussed concerned the question of whether the Tractatus should be seen not as a scientific but as an artistic achievement. My first goal is to present what, given Frege’s writings, his phrase (...) “an artistic rather than a scientific achievement” could be understood to mean in terms of the Tractatus itself. Secondly, I seek to determine the extent to which traces of Frege’s understanding of such terms as “mock thoughts,” “fiction,” “elucidation,” “paintings” and “colouring” are to be found in the language of the Tractatus. This should then make it possible to show how Wittgenstein’s work, viewed from a Fregean perspective, can be seen as furnishing a logic and semantics not only for the languages of logic and natural science, but also for something that is “an artistic rather than a scientific achievement”, while also indicating that the content of the Tractatus as a whole could not have been captured independently of the unified form Wittgenstein himself gave it. (shrink)

Wittgenstein’s experiments on rhythm, conducted in Charles Myers’s laboratory in Cambridge during the years 1912–13, are his earliest recorded engagement in thinking about music, not just appreciating it, and philosophizing by means of musical thinking. In this essay, I set these experiments within their appropriate intellectual, scientific, and philosophical context in order to show that, its minor scientific importance notwithstanding, this onetime excursion into empirical research provided an early onset for Wittgenstein’s career-long exploration of the philosophically pervasive implications of aspects. (...) Dramatically moving beyond the conceptual limitations, which were inscribed by Charles Myers’s scientific program, Wittgenstein got a glimpse of a philosophical angle, which was bound to become very important to him not only in aesthetics, but also for his overarching philosophical development. He became interested in what we actually do when we re-phrase, compare, come up with good similes in order to illuminate something definite within the space of possibility, so a new aspect may come to life. (shrink)

I defend the view that aspect-perception – seeing as a duck, or a face as courageous – typically involves concept-application. Seemingly obvious, this is contested by Avner Baz: ‘aspects may not aptly be identified with, or in terms of, empirical concepts […]’ – In opposition, I claim that they may. Indeed, in many cases there is no other way to identify aspects.I review the development in Baz’s view, from his early criticism of Stephen Mulhall, to his recent recruitment of the (...) discussion about aspects to criticize John McDowell’s conceptualism, and his claim: ‘the dawning of Wittgensteinian aspects reveals our power to perceive unity and sense that are not aptly thought of as conceptual’.I accept many of Baz’s claims against Mulhall and McDowell. However, his arguments go too far. Aspect-perception, I argue, typically involves a special kind of application of concepts. Denying that is denying much of what is important and of interest in the phenomena of aspect. The world revealed in aspect-perception is not the conceptualized world of science; but it is also not the pre-conceptualized ‘phenomenal’ world which, according to Baz, we normally have in perception, and which he wants to bring into view. (shrink)

An explanatorily powerful approach to the modal dimension of knowledge is Robert Nozick’s idea that knowledge stands in a tracking relation to the world. However, pinning down a specific modal condition has proved elusive. In this paper, I offer a diagnosis and a positive proposal. The root of the problem, I argue, is the unquestioned assumption that tracking is a matter of directly preserving conformity between what is believed and what is the case in certain possible worlds. My proposal is (...) that what we track is whether the conditions for belief formation are appropriate in such worlds. Accordingly, we indirectly track the truth by ensuring that we only use our methods of belief formation in conditions that make it likely that conformity is preserved between what is believed and what is the case. (shrink)

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)

The first section of this paper introduces talk about absolutely everything -- the world as a totality -- as an integral element in the project of natural theology, as it has been presented by Fergus Kerr and Denys Turner respectively. The following section presents talk about the world as a totality of facts as a theme in philosophical logic and outlines a problem it has given rise to there. After confronting the solution originally suggested by Bertrand Russell and defended by (...) David Armstrong, the paper points to key elements of the solution presented by Wittgenstein in Tractatus Logico-Philosophicus. I show how Wittgenstein’s answer to the question of unrestricted quantification draws on his notion of showing and the inexpressible. Against this background, the concluding section draws attention to an important difference in ambition between Kerr’s and Turner’s description of the prospects for natural theology. (shrink)

Wittgenstein’s remarks on religious and magical practices are often thought to harbour troubling fideistic and relativistic views. Unsurprisingly, commentators are generally resistant to the idea that religious belief constitutes a ‘language‐game’ governed by its own peculiar ‘rules’, and is thereby insulated from the critical assessment of non‐participants. Indeed, on this fideist‐relativist reading, it is unclear how mutual understanding between believers and non‐believers (even between different sorts of believers) would be possible. In this paper I do three things: (i) show why (...) the fideist‐relativist reading of Wittgenstein is not wildly implausible (Sections 1–2); (ii) argue that, despite its initial plausibility, this reading fails to take into account Wittgenstein’s naturalism (Sections 3–4); and (iii) explain what sort of naturalism this is, and how it sheds light on Wittgenstein’s remarks on religious belief (Sections 5–6). (shrink)

In "Culture and Value" Wittgenstein remarks that the truly "religious man" thinks himself to be, not merely "imperfect" or "ill," but wholly "wretched." While such sentiments are of obvious biographical interest, in this paper I show why they are also worthy of serious philosophical attention. Although the influence of Wittgenstein's thinking on the philosophy of religion is often judged negatively (as, for example, leading to quietist and/or fideist-relativist conclusions) I argue that the distinctly ethical conception of religion (specifically Christianity) that (...) Wittgenstein presents should lead us to a quite different assessment. In particular, his preoccupation with the categorical nature of religion suggests a conception of "genuine" religious belief which disrupts both the economics of eschatological-salvationist hope, and the traditional ethical precept that "ought implies can." In short, what Wittgenstein presents is a sketch of a religion without recompense. (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)

Categories play a major role in contemporary metaphysics. They have not only been invoked in a number of philosophical theories but are themselves objects of epistemological and metaphysical scrutiny. In this article, we will discuss the following questions: How do we know when something belongs to a certain category? Is there a fundamental category of the world? Can we give a satisfactory account of the number of categories and the completeness of systems of categories? Are categories the genuine subjects of (...) ontology? (shrink)

In theTractatus, Wittgenstein advocates two major notational innovations in logic. First, identity is to be expressed by identity of the sign only, not by a sign for identity. Secondly, only one logical operator, called “N” by Wittgenstein, should be employed in the construction of compound formulas. We show that, despite claims to the contrary in the literature, both of these proposals can be realized, severally and jointly, in expressively complete systems of first-order logic. Building on early work of Hintikka’s, we (...) identify three ways in which the first notational convention can be implemented, show that two of these are compatible with the text of theTractatus, and argue on systematic and historical grounds, adducing posthumous work of Ramsey’s, for one of these as Wittgenstein’s envisaged method. With respect to the second Tractarian proposal, we discuss how Wittgenstein distinguished between general and non-general propositions and argue that, claims to the contrary notwithstanding, an expressively adequate N-operator notation is implicit in theTractatuswhen taken in its intellectual environment. We finally introduce a variety of sound and complete tableau calculi for first-order logics formulated in a Wittgensteinian notation. The first of these is based on the contemporary notion of logical truth as truth in all structures. The others take into account the Tractarian notion of logical truth as truth in all structures over one fixed universe of objects. Here the appropriate tableau rules depend on whether this universe is infinite or finite in size, and in the latter case on its exact finite cardinality.As it is obviously easy to express how propositions can be constructed by means of this operation and how propositions are not to be constructed by means of it, this must be capable of exact expression.5.503. (shrink)

This article first surveys the established views on Wittgenstein's relation to analytic philosophy. Next it distinguishes among different ways of defining analytic philosophy—topical, doctrinal, methodological, stylistic, historical, and the idea that it is a family‐resemblance concept. It argues that while certain stylistic features are important, the historical and the family‐resemblance conceptions are the most auspicious, especially in combination. The answer to the title question is given in section 3. Contrary to currently popular “irrationalist” interpretations, Wittgenstein was an analytic philosopher in (...) all phases of his career, albeit an exceedingly exotic one whose style transcends the limits of academic philosophy in general. On the historical understanding he qualifies because he was influenced by and in turn influenced mainly analytic philosophers. On the family‐resemblance conception he qualifies both because he developed and employed logico‐linguistic analysis and because he initiated the linguistic turn and the distinction between philosophy and science that characterizes one important strand in analytic philosophy. (shrink)

This paper does not deal with the topic of ‘the generosity of artificial languages from an Asian or a comparative perspective’. Rather, it is concerned with a particular case taken from a development in the Western tradition, when in the wake of the rise of formal logic at the end of the nineteenth and the beginning of the twentieth century people in philosophy and later in linguistics started to use formal languages in the study of the semantics of natural languages. (...) This undertaking rests on certain philosophical assumptions and instantiates a particular methodology, that we want to examine critically. However, that in itself is still too broad a topic for a single paper, so we will focus on a particular aspect, viz., the distinction between grammatical form and logical form and the crucial role it plays in how the relationship between natural languages and formal languages is understood in this tradition. We will uncover two basic assumptions that underlie the standard view on the distinction between grammatical form and logical form, and discuss how they have contributed to the shaping of a particular methodology and a particular view on the status of semantics as a discipline. (shrink)

In the Tractatus Logico-Philosophicus Wittgenstein writes:2.022 It is obvious that an imagined world, however different it may be from the real one, must have something – a form – in common with it.2.023 Objects are just what constitute this unalterable form.As F.P. Ramsey pointed out, in his insightful review of the Tractatus, it is evident:[i]that Wittgenstein is here envisaging a multitude of possible worlds other than the real one;[ii]that Wittgenstein is claiming that, notwithstanding their diversity, all such worlds have a (...) common form; and[iii]that Wittgenstein believes this form to be somehow 'constituted' by the simple objects that exist in these worlds. (shrink)

In the Tractatus Logico-Philosophicus Wittgenstein writes:2.022 It is obvious that an imagined world, however different it may be from the real one, must have something – a form – in common with it.2.023 Objects are just what constitute this unalterable form.As F.P. Ramsey pointed out, in his insightful review of the Tractatus, it is evident:[i]that Wittgenstein is here envisaging a multitude of possible worlds other than the real one;[ii]that Wittgenstein is claiming that, notwithstanding their diversity, all such worlds have a (...) common form; and[iii]that Wittgenstein believes this form to be somehow 'constituted' by the simple objects that exist in these worlds. (shrink)

The article reviews logical and mathematical problems, which were the starting point of what is now known as “analytical philosophy”. The author proves that the moment of birth of analytical philosophy was Frege’s invention of a notation for quantifiers and va-riables in 1879. Another source of analytical philosophy was rather declaration than proof of certain philosophical beliefs by Moore and Russell during the 1990s. Generally, an analysis of these sources serves to clarify what analytical philosophy is and what it is (...) not, as well as why it appeared exactly at the beginning of the 20th century. (shrink)

El presente artículo analiza las primeras consideraciones de Ludwig Wittgenstein respecto de la percepción de figuras ambiguas, lo que posteriormente fue englobado por la más amplia noción de “percepción de aspectos”. El objetivo consiste en poner de manifiesto algunas las consideraciones del Tractatus Logico-Philosophicus respecto al carácter intrínsecamente representacional de la percepción en el caso del Cubo de Necker, para establecer de qué manera y en qué medida sus primeras observaciones críticas de la percepción de propiedades que admiten grados en (...) Some Remarks on Logical Form, en 1929, puede impactar análogamente sobre su propia descripción de esta clase particular de experiencias bajo consideración. (shrink)