Since its publication in 1967, van Heijenoort’s paper, “Logic as Calculus and Logic as Language” has become a classic in the historiography of modern logic. According to van Heijenoort, the contrast between the two conceptions of logic provides the key to many philosophical issues underlying the entire classical period of modern logic, the period from Frege’s Begriffsschrift (1879) to the work of Herbrand, Gödel and Tarski in the late 1920s and early 1930s. The present paper is a critical reflection on (...) some aspects of van Heijenoort’s thesis. I concentrate on the case of Frege and Russell and the claim that their philosophies of logic are marked through and through by acceptance of the universalist conception of logic, which is an integral part of the view of logic as language. Using the so-called “Logocentric Predicament” (Henry M. Sheffer) as an illustration, I shall argue that the universalist conception does not have the consequences drawn from it by the van Heijenoort tradition. The crucial element here is that we draw a distinction between logic as a universal science and logic as a theory. According to both Frege and Russell, logic is first and foremost a universal science, which is concerned with the principles governing inferential transitions between propositions; but this in no way excludes the possibility of studying logic also as a theory, i.e., as an explicit formulation of (some) of these principles. Some aspects of this distinction will be discussed. (shrink)

Many commentators have attempted to say, more clearly than Wittgenstein did in his Tractatus logico-philosophicus, what sort of things the ‘simple objects’ spoken of in that book are. A minority approach, but in my view the correct one, is to reject all such attempts as misplaced. The Tractarian notion of an object is categorially indeterminate: in contrast with both Frege's and Russell's practice, it is not the logician's task to give a specific categorial account of the internal structure of elementary (...) propositions or atomic facts, nor, correlatively, to give an account of the forms of simple objects. The few commentators who have hitherto maintained this view have mainly devoted themselves to establishing that this was Wittgenstein's intention, and do not much address the question why Wittgenstein held that it is not the logician's business to say what the objects are. The present paper means to fill this lacuna by placing this view in the context of the Tractatus's treatment of logic generally, and in particular by connecting it with Wittgenstein's treatment of generality and with his reaction to Russell's approach to logical form. (shrink)

I use van Heijenoort’s published writings and manuscript materials to provide a comprehensive overview of his conception of modern logic as a first-order functional calculus and of the historical developments which led to this conception of mathematical logic, its defining characteristics, and in particular to provide an integral account, from his most important publications as well as his unpublished notes and scattered shorter historico-philosophical articles, of how and why the mathematical logic, whose he traced to Frege and the culmination of (...) its formative period in the incompleteness results of Gödel, became modern logic, as distinct from the traditional logic of Aristotle, and why and how the logistic tradition that led from Frege through Russell, rather than the algebraic tradition that led from De Morgan and Boole through Peirce and Schröder, came, in his view, to define modern logic. (shrink)

In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...) character of any genuinely spatial scheme. I argue that if Wittgenstein rightly assumes that the simultaneous presence of sensible places in vision is a key condition for objectivity, he fails nevertheless to warrant the allegedly realistic character of the scheme employed in his own search for a phenomenological description of the visual field. (shrink)

Some members of the Vienna Circle argued for a coherence theory of truth. Their coherentism is immune to standard objections. Most versions of coherentism are unable to show why a sentence cannot be true even though it fails to cohere with a system of beliefs. That is, it seems that truth may transcend what we can be warranted in believing. If so, truth cannot consist in coherence with a system of beliefs. The Vienna Circle's coherentists held, first, that sentences are (...) warranted by coherence with a system of beliefs. Next they drew upon their verification theory of meaning, a consequence of which is that truth cannot transcend what can be warranted. The coherence theory of knowledge and verificationism together entail that truth cannot transcend what can be warranted by coherence with a system of beliefs. The Vienna Circle's argument for coherentism is strong and anticipates contemporary anti-realism. (shrink)

Monk’s ‘The Temptations of Phenomenology’ examines what the term ‘Phänomenologie’ meant for Wittgenstein. Contesting various other scholars, Monk claims that Wittgenstein’s relation to ‘Phänomenologie’ began and ended during 1929. Monk only partially touches on the question of Wittgenstein’s relation to the phenomenological movement during this time. Though Monk does not mention this, 1929 was also the year in which Ryle and Carnap turned their critical attention toward Heidegger. Wittgenstein also expressed his sympathy for Heidegger in 1929. Furthermore, though in 1929 (...) Wittgenstein agrees with the early Husserl on relating logic and science to phenomenology, it is not clear that they mean the same thing by either logic or phenomenology, or that they agree on what the relation between the two should be. (shrink)

While Wittgenstein wrote unconventionally and denied that he was advancing philosophical theses, most of his interpreters have attributed conventional philosophical theses to him. But the best recent interpretations have taken the form of his writing and his distinctive way of doing philosophy seriously. The 1980s have also seen the emergence of a body of work on Wittgenstein that makes extensive use of the unpublished Wittgenstein papers. This work on Wittgenstein's method and his way of writing are the main themes of (...) this literature review.Section 1 surveys Wittgenstein's conception of philosophical method and its reception. Section 2 is a review of recent work on rule-following and the methodological issues it raises. Section 3 concerns research on the WittgensteinNachlass and its implications for the interpretation of his philosophy. (shrink)

La discussion sur le langage privé que l’on trouve dans les Recherchesphilosophiques a été écrite entre 1937 et 1945, après que les 190 premières remarques de la partie I du livre eurent presque atteint leur forme finale. Les textes post-1936 sur le langage privé constituent un nouveau départ, dans sa lettre et son esprit, par rapport au matériau d’avant 1936.Néanmoins, entre 1929 et 1936, Wittgenstein s’est penché à plusieurs reprises sur l’idée d’un langage « que moi seul peux comprendre ». (...) Un volet de cette question qui, lui, est abordé directement dans les Recherches, c’est l’idée que « si j’appliquais le mot “douleur” uniquement à ce que j’ai nommé jusqu’ici “ma douleur”, et les autres “la douleur de L.W.”, je ne ferais ainsi aucun tort aux autres, si toutefois l’on avait prévu une notation qui d’une façon ou d’une autre, permettrait de pallier l’absence du mot “douleur” dans d’autres combinaisons ». Cependant, la discussion de cette question dans les Recherches est beaucoup plus brève que dans les textes d’avant 1936. J’examine le rapport entre ce § 403 des Recherches d’un côté, et de l’autre côté les textes des cahiers de 1929 et les Remarques philosophiques , en retraçant le développement initial de cette argumentation et en explorant les principales lignes de continuité et de discontinuité dans le traitement que Wittgenstein réserve à la question du langage privé.The discussion of private language in the Investigations was written between 1937 and 1945, after the first 190 remarks of Part I of the book had almost reached their final form. The post-1936 writing on private language represents a fresh start, both in wording and in conception, on the pre-1936 material.Nevertheless, Wittgenstein did repeatedly discuss the idea of a language which “only I myself can understand” during 1929-36. One strand in this discussion that is directly taken up in the Investigations is the idea that “If I were to reserve the word ‘pain’ solely for what I had hitherto called ‘my pain”, and others “L.W.’s pain,” I should do other people no injustice, so long as a notation were provided in which the loss of the word ‘pain’ in other connexions were somehow supplied.” However, the discussion of this topic in the Investigations is much briefer than in the pre-1936 writing. I look at the relationship between §403 and texts from the 1929 notebooks and the Philosophical Remarks, assembled in the spring of 1930, mapping out the earlier development of this line of argument and exploring the principal continuities and discontinuities in Wittgenstein’s treatment of private language. (shrink)

What are we to make of the cogito (cogito ergo sum) today, as the walls of Cartesian philosophy crumble around us? The enduring foundation of the cogito is consciousness. It is in virtue of a particular phenomenological structure that an experience is conscious rather than unconscious. Drawing on an analysis of that structure, the cogito is given a new explication that synthesizes phenomenological, epistemological, logical, and ontological elements. What, then, is the structure of conscious thinking on which the cogito draws? (...) What kind of certainty does the experience of thinking give one about one's thinking and about one's existence? What form of inference is the cogito, and what is the source of its validity and soundness? Does the cogito itself lead to an ontology of mind and body like Descartes's dualism? The discussion begins with Descartes's own careful formulations of some of these issues. Then the cogito is parsed into several different principles, the phenomenological principle emerging as basic. In due course the analysis sifts through Husserl's epistemology, Hintikka's logic (or pragmatics) of the cogito, and Kaplan's logic of demonstratives, as these bear specifically on the cogito. (shrink)

Here, the logical behaviour of negation in Wittgenstein's Tractatus is compared with Demos' account of denial. Even if we hold negation as a pure syntactical device, at least in some context, it brings a handful of complex semantic information – potentially an infinite amount. We advocate then the existence of at least two negations due to the existence of two different and non-reducible types of exclusion. The first negation is a Tractarian and classical one, based on the notion of contradiction, (...) whereas the second is a non-classical negation, based on the notion of contrariety. (shrink)

This paper combines views of Wittgenstein and Heidegger into an account of mind/ action. It does this by suggesting that these two philosophers be viewed in part as descendants of Life?philosophy (Lebensphilosophie). Part I describes the conception of life that informs and emerges from these thinkers. Parts Two and Three detail particular aspects of this conception: Wittgenstein on the constitution of states of life and Heidegger on the flow?structure of the stream of life. The Conclusion offers reasons for believing their (...) combined viewpoint. (shrink)

This article develops a new perspective on theism that makes the simple juxtaposition of theism and atheism problematic, and helps bridge philosophy of religion and the empirical study of religious phenomena. The basic idea is developed inspired by Terrence Deacon's book Incomplete Nature and its description of “ententional” phenomena, together with some ideas from the cognitive science of religion, especially those related to agency and “theological correctness.” It is argued that God should not be understood as a “homunculus” that stops (...) an otherwise infinite regress of arguments. (shrink)

On the basis of historical and textual evidence, this paper claims that after his Tractatus, Wittgenstein was actually influenced by Einstein's theory of relativity and, the similarity of Einstein's relativity theory helps to illuminate some aspects of Wittgenstein's work. These claims find support in remarkable quotations where Wittgenstein speaks approvingly of Einstein's relativity theory and in the way these quotations are embedded in Wittgenstein's texts. The profound connection between Wittgenstein and relativity theory concerns not only Wittgenstein's “verificationist” phase , but (...) also Wittgenstein's later philosophy centred on the theme of rule‐following. (shrink)

Wittgenstein’s use of the word ‘phenomenology’ to describe his own work in Philosophical Remarks and The Big Typescript has occasioned much puzzlement and confusion. This paper seeks to shed light on what Wittgenstein meant by the word through a close analysis of key passages in those two works. I argue against both the view of Nicholas Gier that Wittgenstein held ‘grammatical’ phenomenological remarks to be synthetic a priori and that expressed by Moritz Schlick that Wittgenstein held grammar to be tautological. (...) I also take issue with the claim by Merrill and Jaakko Hintikka that Tractatus Logico-Philosophicus ought to be regarded as a work of phenomenology. Wittgenstein’s adoption of a variant of Husserlian phenomenology, I argue, lasted no more than a few months, from February to October 1929, during which he conceived of phenomenology as something that sought to establish what one might call ‘analytic a posteriori’ truths through something like the Husserlian method of ‘bracketing’. By the end of 1929, I claim, he had abandoned that in favour of the view expressed in the slogan ‘phenomenology is grammar’, where ‘grammar’ is not confined to the tautological, but is rather intimately linked to Wittgenstein’s notion of ‘the understanding that consists in seeing connections’. (shrink)

This paper focuses on a central aspect of the “picture theory” in the Tractatus – the “identity requirement” – namely the idea that a proposition represents elements in reality as combined in the same way as its elements are combined. After introducing the Tractatus' views on the nature of the proposition, I engage with a “nominalist” interpretation, according to which the Tractatus holds that relations are not named in propositions. I claim that the nominalist account can only be maintained by (...) rejecting the “identity requirement.” I then consider an opposite – “realist” – interpretation, according to which Tractarian names include names of properties and relations. I argue that, although it can accommodate the “identity requirement,” the realist interpretation falls short of providing a correct interpretation of the Tractatus' conception of a name. I conclude by presenting an alternative account (to both nominalism and realism) of the Tractatus' conception of a name. (shrink)

This paper articulates a deflationary interpretation of the notions of meaning and necessity in Wittgenstein's Tractatus. This interpretation is developed through a new account of the socalled color‐exclusion problem and of why the formalism of the Tractatus fails to solve it. According to my analysis, this failure calls into question whether the limits of the sayable and the thinkable can be drawn from within language and thought by means of a purely formal logical analysis. I argue that the lesson to (...) learn from the color‐exclusion problem concerns the limitations of a formal logical analysis of language in eliminating the philosophical mythologies formed around the notions of meaning and necessity, and more generally the limitations of formalism as a deflationary strategy in philosophy. (shrink)

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

Wittgenstein's Tractatus carefully distinguished the concept all from\nthe notion of a truth-function, and thereby from the quantifiers.\nI argue that Wittgenstein's rationale for this distinction is lost\nunless propositional functions are understood within the context\nof his picture theory of the proposition. Using a model Tractatus\nlanguage, I show how there are two distinct forms of generality implicit\nin quantified Tractatus propositions. Although the explanation given\nin the Tractatus for this distinction is ultimately flawed, the distinction\nitself is a genuine one, and the forms of generality that (...) Wittgenstein\nindicated can be seen in the quantified sentences of contemporary\nlogic. (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)

The power of Wittgenstein's N operator described in the Tractatus is that every proposition which can be expressed in the Russellian variant of the predicate calculus familiar to him has an equivalent proposition in an extended variant of his N operator notation. This remains true if the bound variables are understood in the usual inclusive sense or in Wittgenstein's restrictive exclusive sense. The problematic limit of Wittgenstein's N operator comes from his claim that symbols alone reveal the logical status of (...) propositions. This would require knowledge of the size of the Tractarian domain of unchangeable, simple objects, and this, Wittgenstein maintained, cannot be known. (shrink)

It is generally considered the case that an authorial preface is an author’s opportunity to give the reader a hand in interpreting the work he or she is about to read. It is strange then that the Preface to Wittgenstein’s Tractatus (1922) has often been overlooked. Max Black’s (1964) influential A Companion toWittgenstein’sTractatus, for example, passes over the Preface in silence. And even in the latest published edition of the so-called Prototractatus (1996), the Preface is the only part that appears (...) in hand-written facsimile but is not reproduced in typescript form. Perhaps an argument for not so-reproducing the Preface of the Pro- totractatus in typescript is also an argument for the importance of the Preface: not one letter of this early hand-written text of the Preface is different from the final published edition (I will return to this later). Only of late has the Preface to the Tractatus been seen as having any kind of focal importance.This recent interest in the Preface has largely been spawned by Cora Diamond’s and James Conant’s “New” view of Wittgenstein. This New view (designated as such subsequent to the publication in 2000 of the volume entitled The New Wittgenstein) uses the Preface as a central interpretive tool that, according to this view, shows that the Tractatus takes “a strong anti-metaphysical stand” which is “most explicit in Wittgenstein’s statements in the book’s Preface and concluding remarks.1”The third and fourth paragraphs of the Preface are seen as especially revealing of Wittgenstein’s anti-metaphysical purpose. (shrink)

SummaryCarnap tried to overcome metaphysics through a distinction between empirical and conceptual truths. The distinction has since been challenged, but not on the basis of a systematic logical analysis of language. It is suggested here that the logical theory of identifiability based on the author's interrogative model will provide the tools for such a systematic analysis. As an example of what the model can do, a criticism is offered of Quine's and Chomsky's implicit assumption that language learning is based on (...) atomistic “answers” .RésuméCarnap a essayé de dépasser la métaphysique par une distinction entre des vérités empiriques et des vérités conceptuelles. Cette distinction a ensuite été contestée, mais non sur la base ?une analyse systematique du langage. On suggére ici que la théorie logique de ľidentifiabilité basée sur le modéle interrogatif de ľauteur fournira les outils ?une telle analyse systématique. Comme exemple de ce que peut faire ce modéle, on présente une critique de la supposition implicite de Quine et de Chomsky selon laquelle ľapprentissage du langage repose sur des ≫réponses≪ atomiques .ZusammenfassungCarnap versuchte Metaphysik durch eine Unterscheidung zwischen empirischen und konzep‐tuellen Wahrheiten zu iiberwinden. Seither wurde die Unterscheidung immer wieder angegriffen, jedoch nicht auf der Basis einer systematischen logischen Analyse der Sprache. In vorliegendem Artikel wird vorgeschlagen, dass eine logische Theorie der Identifizierbarkeit, welche auf dem Frage‐Antwort‐Modell des Autors grilndet, die Instrumente fur eine solche logische Analyse bereitstellt. Als Beispiel dafiir, was das Modell leisten kann, dient eine Kritik an Quines und Chomskys impliziter Voraussetzung, dass das Erlernen von Sprache auf atomaren ≫Antworten≪ aufbaut. (shrink)

Carnap's philosophy is examined from new viewpoints, including three important distinctions: (i) language as calculus vs language as universal medium; (ii) different senses of completeness: (iii) standard vs nonstandard interpretations of (higher-order) logic. (i) Carnap favored in 1930-34 the "formal mode of speech," a corollary to the universality assumption. He later gave it up partially but retained some of its ingredients, e.g., the one-domain assumption. (ii) Carnap's project of creating a universal self-referential language is encouraged by (ii) and by the (...) author's recent work. (iii) Carnap was aware of (iii) and occasionally used the standard interpretation, but was not entirely clear of the nature of the contrast. (shrink)

Recent studies of Wittgenstein's later writing have made clear that they stand as a defence of two main ideas: that scepticism about the possibility of interpersonal discussions about our subjective feelings is misplaced and, as a seemingly startling corollary; that a mind state account of most 'mental activities' is incoherent. This leads to a great emphasis on skills and practices which, a fortiori, are definable only relationally, by reference to targets. In this paper I try to show that the 'computer' (...) analogue for the mind f ails on both of Wittgenstein's dimensions. There are no physiognomic language games in the computer centre, while the 'target' aspect of skill and practice concepts ties them in to a wholly human world. (shrink)

This paper discusses Jean van Heijenoort’s (1967) and Jaakko and Merrill B. Hintikka’s (1986, 1997) distinction between logic as auniversal language and logic as a calculus, and its applicability to Edmund Husserl’s phenomenology. Although it is argued that Husserl’s phenomenology shares characteristics with both sides, his view of logic is closer to the model-theoretical, logic-as-calculus view. However, Husserl’s philosophy as transcendental philosophy is closer to the universalist view. This paper suggests that Husserl’s position shows that holding a model-theoretical view of (...) logic does not necessarily imply a calculus view about the relations between language and the world. The situation calls for reflection about the distinction: It will be suggested that the applicability of the van Heijenoort and the Hintikkas distinction either has to be restricted to a particular philosopher’s views about logic, in which case no implications about his or her more general philosophical views should be inferred from it; or the distinction turns into a question of whether our human predicament is inescapable or whether it is possible, presumably by means of model theory, to obtain neutral answers to philosophical questions. Thus the distinction ultimately turns into a question about the correct method for doing philosophy. (shrink)

In §66 ofPhilosophical Investigations Wittgenstein looks for something common to various games and finds only an interconnecting network of resemblances. These are family resemblances. Sympathetic as well as unsympathetic readers have interpreted him as claiming that games form a family in virtue of these resemblances. This assumes Wittgenstein inverted the relation between being a member of a family and bearing family resemblances to others of that family. (The Churchills bear family resemblances to one another because they belong to the same (...) family, they don't belong to the same family because they resemble one another.) A close reading ofInvestigations gives no evidence that Wittgenstein made this mistake. Rather, family resemblances may play a role like the one criteria play for psychological terms. They give excellent but fallible evidence for membership in the extensions of some terms. (shrink)

In the preface of the Philosophical Investigations, Wittgenstein says that his “most fruitful ideas” are due to the stimulus of Sraffa's criticism, but Sraffa is not mentioned anywhere else in the book. It remains a puzzle in the literature how and why Sraffa influenced Wittgenstein. This paper presents a solution to this puzzle. Sraffa's criticism led Wittgenstein away from the calculus conception of language of the Big Typescript (arguably, an adaptation of the calculus of the Tractatus), and towards the “anthropological (...) view,” which structures both the opening sections of the Philosophical Investigations and Wittgenstein's later philosophy of mathematics. (shrink)