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)

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)

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)

In the “Lecture on ethics”, Wittgenstein declares that ethical statements are essentially nonsense. He later told Friedrich Waismann that it is essential to “speak for oneself” on ethical matters. These comments might be taken to suggest that Wittgenstein shared an emotivist view of ethics—that one can only speak for oneself because there is no truth in ethics, only expressions of opinion (or emotions). I argue that this assimilation of Wittgenstein to emotivist thought is deeply misguided, and rests upon a serious (...) misunderstanding of what is implied by the nonsensicality of ethical claims on Wittgenstein's view. I develop a reading of Wittgenstein's remarks in the “Lecture on ethics” on which ethical statements, despite their nonsensicality, reveal the perspective of the speaker. The purpose of ethical language is to elucidate a speaker's perspective. Such elucidations, and the perspectives they reveal, can be evaluated, criticized, and respected on principled grounds even if, as Wittgenstein insists, no ethical judgment can be (objectively) justified by any fact. I contrast Wittgenstein's comments on ethics with some comments made by Frank Ramsey (from the same period), which appear similar to Wittgenstein's remarks on value. Contra Ramsey's insistence that there is “nothing to discuss” about (or within) ethics, a proper understanding of Wittgenstein's views does not commit us to passing over ethics in silence. (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.

ABSTRACT I argue that some of the central doctrines of Wittgenstein's Tractatus Logico-Philosophicus can be seen as addressing the twin problems of semantic unity and...

Wittgenstein’s criticism of the notion of ‘private language’ is related to the putative centrality of “being“ and the ‘subject-predicate’ distinction. However, his efforts would prove to be more f...

Statements of degree appear to falsify basic doctrines in Tractatus Logico-Philosophicus. I offer a fresh formulation of the challenge and assess a solution proposed on Wittgenstein’s behalf by Sarah Moss. I find that Moss’s proposal fails. The proposal rides in part on novel interpretations of pronouncements by Wittgenstein on the nature of the elementary proposition. I find that the interpretations cannot be sustained but that Moss’s textual case hints at important and overlooked features of the Tractarian program. I develop Wittgenstein’s (...) comparison of propositions to measuring instruments and apply it throughout, showing that it captures philosophical commitments in Tractatus that otherwise tend to slip from view. (shrink)

A world is trivial if it makes every proposition true all at once. Such a world is impossible, an absurdity. Our world, we hope, is not an absurdity. It is important, nevertheless, for semantic and metaphysical theories that we be able to reason cogently about absurdities—if only to see that they are absurd. In this note we describe methods for ‘observing’ absurd objects like the trivial world without falling in to incoherence, using some basic techniques from modal logic. The goal (...) is to begin to locate the trivial world’s relative position in modal space; the outcome is that the less we assume about relative possibility, the more detail we can discern at the edge of reason. (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)

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)

The paper is concerned with the idea that the world is the totality of facts, not of things – with what is involved in thinking of the world in that way, and why one might do so. It approaches this issue through a comparison between Wittgenstein’s Tractatus and the identity theory of truth proposed by Hornsby and McDowell.The paper’s positive conclusion is that there is a genuine affinity between these two. A negative contention is that the modern identity theory is (...) vulnerable to a complaint of idealism that the Tractatus can deflect. (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)

I argue that the numbering system of the Tractatus lets us see how it was constructed, in two closely related senses of that term. First, it tells us a great deal about the genesis of the book, for the numbering system was used to assemble and rearrange a series of drafts, as recorded in MS 104. Second, it helps us understand the structure of the published book, as cryptically summarized in the opening footnote. I also discuss an unpublished letter from (...) Anscombe to von Wright from 1948 which contains the very first sketch of a tree-structured reading, and what I believe is Stenius’s response to Anscombe’s proposal. The paper critically evaluates previous work on tree-structured readings and contends that we need to read the Tractatus in both the number order used in the published book and the tree order that Wittgenstein used to draft it. It also considers some of the main ways of turning this complex branching structure into a linear, printed text, and so serves as an introduction to the three tree-structured editions of the Tractatus that accompany this paper (the German text, and the translations by Ogden/Ramsey and Pears & McGuinness). (shrink)

Today I want to talk about an element in the milieu in which Ludwig Wittgenstein conceived the Tractatus Logico-Philosophicus that has not been recognized to date: the generalization of the methodology of experimental scale models that occurred just about the time he was writing it. I find it very helpful to keep in mind how this kind of model portrays when reading the Tractatus — in particular, when reading the statements about pictures and models, such as:That a picture is a (...) fact ,That a picture is a model of reality ,That the “pictorial relationship” that makes a picture a picture is part of that picture , andThat a picture must have its pictorial form in common with reality in order to able to depict it. (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)

Since the Reformation and Enlightenment, the Western world has witnessed the incremental decline of religious influence. Yet, key legal protections and duties incumbent on civilians and state actors in both avowedly secular states and ruling theocracies, predominantly Islamic, are to a lesser or greater extent determined by religious values. Although it is often claimed that the modern secular state encourages the adoption of liberal values and allows for the formulation of general law according to the free will of its people, (...) the historical legacy of law and particularly its synthesis with the Judeo-Christian heritage is apparent. In the UK, the continuing centrality of religion in what purports to be a secular system of laws, is demonstrated by the introduction of elements of Sharia law. In an increasingly culturally-diverse society, the recognition of Islamic law may be interpreted as the tacit acknowledgement of the existing inherent faith influences which continue to inform many legal innovations, and represents an explicit attempt to rebalance the privileging of one set of precepts above another. It is suggested that religion continues to occupy a central position in lawmaking; performing a cultural, political, institutional and, importantly, symbolic role and this is evidenced for instance by the narratives which are imposed on individuals in relation to areas of topical significance such as matrimony, terminal illness, abortion, gender and sexual morality. This paper argues against those pronouncements of the retreat of religion in state affairs and, rather, reveals a set of key structural relations and signifiers which are informed by opinions redolent of, not least of all, a peculiar generic proscriptive religiosity. (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)

In this paper, I draw attention to the often-overlooked Tractarian distinction between representing and depicting, provide a clear account of it and examine how it affects our understanding of the notions of ‘being a picture’, meaningfulness, truth, and falsity in the Tractatus. I also look at the recent debate in the literature on the notion of truth and show that Glock’s claim that the official theory of the Tractatus is to be accounted in terms of obtainment only and deflationary accounts (...) such as Hacker’s derive from a failure to notice the distinction between representing and depicting or a misconception of depicting. Finally, I argue against the idea that either representing or depicting should be dispensed with. Both are necessary for Wittgenstein to account for every case of a proposition being a picture of reality. (shrink)

This paper addresses the problem of providing a satisfying explanation of the Tractarian notions of state of affairs, fact and situation, an issue first raised by Frege and Russell. In order to do so, I first present what I consider to be the three main existing interpretations of these notions: the classic, the standard and Peter Simons’. I then present and defend an interpretation which is closer to the text than the classic and standard interpretations; one which is similar to (...) Peter Simons’ but which differs from it concerning one important point with respect to the nature of situations. Accordingly, the above mentioned should be seen as three wholly distinct categories. States of affairs are to be understood as Russellian complexes, facts as the subsistence and non-subsistence of states of affairs and situations as possibilities of the subsistence and possibilities of the non-subsistence of states of affairs. (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)

Ostensibly, Wittgenstein’s last remarks published in 1969 under the title On Certainty are about epistemology, more precisely about the problem of scepticism. This is the standard interpretation of On Certainty. But I contend, in this paper, that we will get closer to Wittgenstein’s intentions and perhaps find new and illuminating ways to interpret his late contribution if we keep in mind that his primary goal was not to provide an answer to scepticism. In fact, I think that the standard reading (...) leads to a distorted view of Wittgenstein’s contribution in On Certainty. In order to see that, scepticism will first be briefly characterised, and then I will attempt to circumscribe more precisely the standard reading of On Certainty. In section 4, three exegetical arguments against the standard reading are offered – the hope being that the weight of these three arguments, taken together, instils doubt in the reader’s mind about the correctness of the standard reading. The paper concludes with an attempt to gesture at the philosophical significance of On Certainty once we set aside the standard reading. (shrink)

The main aim of this paper is to reconstruct different aspects of the history of ideas of suicide, from antiquity to late modernity, and contemplate their dialectical tension. Reflexive suicide prevention, drawing on the ancient wisdom that the art of living is inseparable from the art of dying, takes advantage, it is argued, of the contradictory nature of suicide, and hence embraces, rather than trying to overcome, death, pain, grief, fear, hopelessness and milder depressions. This approach might facilitate the transformation (...) of inner shame to inter-personal guilt, which is the precondition for coping with losses through grieving that is shared with others. The traditional projection of suicide on the ‘Other’, reinforced by modernity’s bio-political suppression of death, has inhibited development of good suicide prevention. Awareness of the ambiguity and ambivalence found in suicide may work as a resource when measures are taken to address as many causal mechanisms as possible, and bringing special emphasis to external factors. (shrink)

_ Source: _Volume 6, Issue 2-3, pp 143 - 164 In §513 of _On Certainty_ Wittgenstein asks “What if something _really unheard-of_ happened?” But with this question he is not asking us to make a forecast, a prediction, or some sort of empirico-psychological prophecy about our possible reactions. As I will attempt to show, the question regarding the unheard-of is part of Wittgenstein’s philosophical method—which is to say, it is one of the instruments with which he combats what he sees (...) as the principal source of the confusions of philosophy: mistaking the grammatical for the empirical or, as he also says, the conceptual for the factual. In this sense the question regarding the unheard-of can shed some light on the grammatical status of what he calls “hinges.”. (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 commonly held that Wittgenstein abandoned the Tractatus largely because of a problem concerning color incompatibility. My aim is to solve this problem on Wittgenstein’s behalf. First I introduce the central program of the Tractatus (§1) and the color incompatibility problem (§2). Then I solve the problem without abandoning any Tractarian ideas (§3), and show that given certain weak assumptions, the central program of the Tractatus can in fact be accomplished (§4). I conclude by distinguishing my system of analysis (...) from others and by explaining the historical underpinnings of my understanding of the nature of elementary propositions (§5). (shrink)

Between April and November 1912, Bertrand Russell and Ludwig Wittgenstein were engaged in a joint philosophical program. Wittgenstein‘s meeting with Gottlob Frege in December 1912 led, however, to its dissolution – the joint program was abandoned. Section 2 of this paper outlines the key points of that program, identifying what Russell and Wittgenstein each contributed to it. The third section determines precisely those features of their collaborative work that Frege criticized. Finally, building upon the evidence developed in the preceding two (...) sections, section 4 recasts along previously undeveloped lines Wittgenstein‘s logical–philosophical discoveries in the two years following his encounter with Frege in 1912. The paper concludes, in section 5, with an overview of the dramatic consequences the Frege-Wittgenstein critique had for Russell‘s philosophical development. (shrink)

This paper investigates Wittgenstein’s account of the relation between elementary and molecular propositions (and thus, also, the propositions of logic) in the Tractatus Logico-Philosophicus. I start by sketching a natural reading of that relation – which I call the “bipartite reading” – holding that the Tractatus gives an account of elementary propositions, based on the so-called picture theory, and a different account of molecular ones, based on the principle of truth- functionality. I then show that such a reading cannot be (...) attributed to Wittgenstein, because he holds the view that an explanation of logical complexity is already given by a correct account of the (pictorial) nature of elementary propositions; this is implied in his claim that “an elementary proposition contains all logical constants/operations in itself”. After clarifying Wittgenstein’s notion of an operation from the Notes on Logic to the Tractatus, I finally explain why Wittgenstein claims that an elementary proposition contains all logical operations in itself, and hence why he can be said to provide a unified (and thus not bipartite) account of language and logic. (shrink)

In the Philosophical Investigations, Wittgenstein is sometimes claimed to hold a redundancy theory of truth. The main evidence to support this view, however, comes from a single passage, number 136, which has been misinterpreted. In this essay I argue for an alternative interpretation of the critical passage in question. The purpose behind Wittgenstein’s remarks is not to provide a general theory of truth, per se. Rather, Wittgenstein uses the section as a way to introduce his notion of fit, a notion (...) that will play a more substantial role in his later arguments on following rules. Furthermore, if Wittgenstein did hold something close to a redundancy theory of truth, such a view would illuminate remarks from the earlier notebooks about a crucial Tractarian view rather than his later view from the Investigations: the so-called “Picture Theory”. (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 present a summary of the philosophical relationship betweenWittgenstein and Brouwer, taking as my point of departure Brouwer's lecture onMarch 10, 1928 in Vienna. I argue that Wittgenstein having at that stage not doneserious philosophical work for years, if one is to understand the impact of thatlecture on him, it is better to compare its content with the remarks on logics andmathematics in the Tractactus. I thus show that Wittgenstein's position, in theTractactus, was already quite close to (...) Brouwer's and that the points of divergence are the basis to Wittgenstein's later criticisms of intuitionism. Among the topics of comparison are the role of intuition in mathematics, rule following, choice sequences, the Law of Excluded Middle, and the primacy of arithmetic over logic. (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)

Symposium of Oakeshott on religion, science and politics.

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

The problem of the “identity of identity and nonidentity”, which haunted German idealism, has two closely related aspects. The first, epistemological aspect concerns the possibility of knowledge of an objective world. The second, transcendental aspect, concerns the question of how thoughts can be directed towards the world. Reconstructing McDowell’s Kantian account of intentionality as a purported resolution of the transcendental aspect of IINI, I pose the following dilemma for McDowell’s account: Either part ways with Kant’s purported resolution of IINI at (...) a crucial point, thereby being driven towards an approach that McDowell firmly opposes, indeed cannot accept, or follow Kant to the letter, and then face, head-on, a deep problem that Kant’s purported resolution of IINI faces. Parting ways, as I show, with Kant’s purported resolution of IINI, McDowell finds himself impaled upon the first horn of this dilemma. Were he, however, to respond by following Kant to the letter, McDowell would find himself impaled upon the second horn. Thus, I conclude, McDowell’s account of intentionality fails. (shrink)

A theory of relations is presented that provides a detailed account of the logical structure of relational complexes. The theory draws a sharp distinction between relational complexes and relational states. A salient difference is that relational complexes belong to exactly one relation, whereas relational states may be shared by different relations. Relational complexes are conceived as structured perspectives on states ‘out there’ in reality. It is argued that only relational complexes have occurrences of objects, and that different complexes of the (...) same relation may correspond to the same state. (shrink)

I analyze the relations of constituency or ``being in'' that connect different ontological items in the Tractatus logico-philosophicus by Wittgenstein. A state of affairs is constituted by atoms, atoms are in a state of affairs. Atoms are also in an atomic fact. Moreover, the world is the totality of facts, thus it is in some sense made of facts. Many other kinds of Tractarian notions -- such as molecular facts, logical space, reality -- seem to be involved in constituency relations. (...) How should these relations be conceived? And how is it possible to formalize them in a convincing way? I draw a comparison between two ways of conceiving and formalizing these relations: through sets and through mereological sums. The comparison shows that the conceptual machinery of set theory is apter to conceive and formalize Tractarian constituency notions than the mereological one. (shrink)

In a recent article in this journal, Joshua W. Seachris (2012) argues that the distinction I make between perspectives and standards in sub specie aeternitatis arguments for the meaninglessness of life does not hold for a salient component of the sub specie aeternitatis perspective: the ontological-normative component. In this article I suggest that Seachris’s argument is problematic in a number of ways and ought to be rejected.

The German physicist Heinrich Hertz played a decisive role for Wittgenstein's use of a unique philosophical method. Wittgenstein applied this method successfully to critical problems in logic and mathematics throughout his life. Logical paradoxes and foundational problems including those of mathematics were seen as pseudo-problems requiring clarity instead of solution. In effect, Wittgenstein's controversial response to David Hilbert and Kurt Gödel was deeply influenced by Hertz and can only be fully understood when seen in this context. To comprehend the arguments (...) against the metamathematical programme, and to appreciate how profoundly the philosophical method employed actually shaped the content of Wittgenstein's philosophy, it is necessary to make an intellectual biographical reconstruction of their philosophical framework, tracing the Hertzian elements in the early as well as in the later writings. In order to write Wittgenstein's biography, we have to take seriously the coherence of his thought throughout his life, and not let convenient philosophical ideologies be our guidance in drawing up a “Wittgensteinian philosophy”. To do so, we have to take a second look upon what he actually wrote, not only in the already published material, but in the entire Nachlass. Clearly, this is not easily done, but it is a necessary task in the historical reconstruction of Wittgenstein's life and work. (shrink)

This is a paper about the way language meshes with life. It focuses on Ludwig Wittgenstein’s later work, and compares it with Leo Tolstoy and Saint Augustine’s confessions. My aim is to better understand in this way what it means to have meaning in language, as well as meaning in life.

Careful readers of Wittgenstein tend to overlook the significance his engineering education had for his philosophy; this despite Georg von Wright’s stern admonition that “the two most important facts to remember about Wittgenstein were, firstly, that he was Viennese, and, secondly, that he was an engineer.” Such oversight is particularly tempting for those of us who come to philosophy late, having first been schooled in math and science, because our education tricks us into thinking we understand engineering by extension. But (...) we do not. I will illustrate this common tendency to misread Wittgenstein by examining three engineering concepts that have little significance for science but played important roles in Wittgenstein’s philosophical thinking. These are: method of projection, dynamical similarity, and satisfactoriness. The upshot of this analysis will be a strong challenge to the myth of his putative fideism because neither fideism nor its contrary simply would have occurred to Wittgensteinthe-engineer. (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 has been much debated whether Tractarian objects are what Russell would have called particulars or whether they include also properties and relations. This paper claims that the debate is misguided: there is no logical category such that Wittgenstein intended the reader of the Tractatus to understand his objects either as providing examples of or as not providing examples of that category. This is not to say that Wittgenstein set himself against the very idea of a logical category: quite the (...) contrary. However, where Russell presents his logical variety of particulars and the various types of universal, and Frege presents his of objects and the various types of function, Wittgenstein denies the propriety of such a priori expositions. Wittgenstein envisages a variety of logical types of entity but insists that the nature of these types is something to be discovered only through analysis. (shrink)

In this paper, we propose to analyze the phenomenon of Christian prayer by way of combining two different analytical frameworks. We start by applying Schutz’s theories of “intersubjectivity,” “inner time,” “politheticality,” and “multiple realities,” and then proceed by drawing on the ideas and insights of linguistic philosophers, notably, Wittgenstein’s “language-game,” Austin’s “speech act,” and Evans’s “logic of self-involvement”. In conjoining these accounts, we wish to demonstrate how their combination sheds new light on understanding the phenomenon of prayer. Prayer is a (...) complex phenomenon that involves two major dimensions: the private and the social, as Matthew and Acts, respectively, demonstrate. Schutz’s study of the phenomenon of “inner time” and the “polithetical” structure of consciousness, at both the subjective and intersubjective level, provides a useful lens to analyze these two dimensions. In addition, prayer, in following a specific set of rules, can also be considered as a specific, i.e., religious “language-game”. In the last analysis, however, we propose to analyze prayer within the Schutzian framework of “multiple realities,” “enclaves,” and “symbolic appresentation,” which permits accessing the “religious finite province of meaning” in the very midst of the paramount reality of everyday life. In a nutshell, we claim that Christian prayer is a practice of constructing and living within a “religious province of meaning” in the everyday world; it is a practice that revolves around self-involving language-activities such as praising, confessing, thanksgiving, or requesting to God, which enable the praying subject to transfigure the language of everydayness and “see through” the world of everyday life in order to let it appear in a different light, e.g., the light of grace, gift, and salvation. (shrink)

Work on the nature and scope of formal logic has focused unduly on the distinction between logical and extra-logical vocabulary; which argument forms a logical theory countenances depends not only on its stock of logical terms, but also on its range of grammatical categories and modes of composition. Furthermore, there is a sense in which logical terms are unnecessary. Alexandra Zinke has recently pointed out that propositional logic can be done without logical terms. By defining a logical-term-free language with the (...) full expressive power of first-order logic with identity, I show that this is true of logic more generally. Furthermore, having, in a logical theory, non-trivial valid forms that do not involve logical terms is not merely a technical possibility. As the case of adverbs shows, issues about the range of argument forms logic should countenance can quite naturally arise in such a way that they do not turn on whether we countenance certain terms as logical. (shrink)