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

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

The later Wittgenstein advanced a revolutionary but puzzling conception of how philosophy ought to be practised: Philosophical problems are not to be coped with by establishing substantive claims or devising explanations or theories. Instead, philosophical questions ought to be treated ‘like an illness’. Even though this ‘non-cognitivism’ about philosophy has become a focus of debate, the specifically ‘therapeutic’ aims and ‘non-theoretical’ methods constitutive of it remain ill understood. They are motivated by Wittgenstein’s view that the problems he addresses result from (...) misinterpretation, driven by ‘urges to misunderstand’. The present paper clarifies this neglected concept and analyses how such ‘urges’ give rise to pseudo-problems of one particular, hitherto little understood, kind. This will reveal ‘therapeutic’ aims reasonable and ‘non-theoretical’ methods necessary, in one clearly delineated and important part of philosophy. I.e.: By developing a novel account of nature and genesis of one important class of philosophical problems, the paper explains and vindicates a revolutionary reorientation of philosophical work, at the level of both aims and methods. (shrink)

The purpose of this paper is to offer an interpretation of the Tractatus’ proof of the unity of logic and language. The kernel of the proof is the thesis that the sole logical constant is the general propositional form. I argue that the Grundgedanke, the existence of the sole fundamental operation N and the analyticity thesis, together with the fact that the operation NN can always be seen as having no specific formal difference between its result and its base, imply (...) that NN is intrinsic to every elementary proposition. I also argue that the picture theory of proposition is an account of the generation of propositions via naming, and that its crucial idea is that naming is the instantiation of the form of a name, which consists in arbitrarily picking out an object as the meaning of the name from those objects sorted out by the form of the name. It follows that the existential quantifier, that is, NN, is intrinsic to naming (and therefore to every elementary proposition). It is then proven that the sole logical constant is the general propositional form. This, together with the truth‐functionality of logical necessity, implies that logic and language are unified via a general rule – logical syntax. (shrink)

The following contribution aims at presenting a reading of Wittgenstein’s later philosophy as a kind of idealism within the Kantian and post-Kantian traditions. The goal is to argue that Wittgenstein’s position shares substantial theoretical and methodological grounds with Hegel’s idealism. The main concepts pertaining to the later Wittgenstein’s position are analyzed and understood as a form of idealism. After defending the reading against anti-idealist interpretations we argue that the kind of idealism presented clashes with central tenets of the Kantian position. (...) These points of departure are then shown to cover in a substantial manner the same kind of criticism Hegel raised against Kant. In the last section, an interpretation of central concepts of the Hegelian position is offered in order to dissolve any fundamental incompatibility with Wittgenstein’s idealism. (shrink)

In his Tractatus, Wittgenstein sets out what he calls his N-operator notation which can be used to calculate whether an expression is a tautology. In his Laws of Form, George Spencer Brown offers what he calls a “primary algebra” for such calculation. Both systems are perplexing. But comparing two blurry images can reduce noise, producing a focus. This paper reveals that Spencer Brown independently rediscovered the quantifier-free part of the N-operator calculus. The comparison sheds a flood light on each and (...) from the letters of correspondence we shall find that Russell, as one might have surmised, was a catalyst for both. (shrink)

Abstract This paper discusses some recent work on the notion of possibility in Wittgenstein's Tractatus assessed by means of an interpretation of the notion put forward in Cerezo 2005. It argues that the proper way to understand the notion of possibility in the Tractatus must pay equal attention both to the picture theory and the truth-functions theory. From this perspective, through an examination of Peach's proposal (2007) it shows that the role played by the notion of logical space in the (...) determination of sense needs to be emphasized. In addition, the paper considers some consequences of the Tractarian notion of possibility, namely, the strong contingency of the world that it involves, which is revealed by the thinkability of logical space as empty envisaged by Wittgenstein in T 2.013, and also discusses the recent debate between Reinhardt (2005) and Geach (2006) on this issue. (shrink)

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

?258 of Wittgenstein's Philosophical Investigations is often seen as the core of his private language argument. While its role is certainly overinflated and it is a mistake to think that there is anything that could be called the private language argument, ?258 is an important part of the private language sections of the Philosophical Investigations. As with so much of Wittgenstein's work, there are widely diverse interpretations of why exactly the private diarist's attempted ostensive definition fails. I argue for a (...) version of the no-stage-setting interpretation of the failure of private ostension. On this interpretation, the reason why the diarist cannot establish a meaning for ?S? is that she lacks the conceptual-linguistic stage-setting needed to disambiguate the concentration of her attention (the private analogue of an ostensive definition). Thus, the problem with any subsequent use of ?S? is not that there is no criterion of correctness for remembering the meaning of ?S? correctly, or for re-identifying S correctly in the future. Rather, it is because of the initial failure to define ?S? that there is nothing that could count as a criterion of correctness for the future use of ?S?; there is nothing to remember or re-identify. My argument for the no-stage-setting interpretation consists in showing how well it fits into the rest of the Philosophical Investigations and in defending it against objections from Robert J. Fogelin, Anthony Kenny, and most recently John V. Canfield. Kenny's and Canfield's objections are found to suffer from problems regarding memory scepticism. (shrink)

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

Wittgenstein demystified the notion of 'observational self-knowledge'. He dislodged the long-standing conception that we have privileged access to our impressions, sensations and feelings through introspection, and more precisely eliminated knowing as the kind of awareness that normally characterizes our first-person present-tense psychological statements. He was not thereby questioning our awareness of our emotions or sensations, but debunking the notion that we come to that awareness via any epistemic route. This makes the spontaneous linguistic articulation of our sensations and impressions nondescriptive. (...) Not descriptions, but expressions that seem more akin to behaviour than to language. I suggest that Wittgenstein uncovered a new species of speech acts. Far from the prearranged consecration of words into performatives, utterances are deeds through their very spontaneity. This gives language a new aura: the aura of the reflex action. I argue, against Peter Hacker, that spontaneous utterances have the categorial status of deeds. This has no reductive consequences in that I do not suggest that one category is reduced to another, but that the boundary between them is porous. This explodes the myth of an explanatory gap between the traditionally distinct categories of saying (or thinking) and doing, or of mind and body. (shrink)

In this paper I argue that the most prominent and familiar features of Wittgenstein’s rule following considerations generate a powerful argument for the thesis that most of our concepts are innate, an argument that echoes a Chomskyan poverty of the stimulus argument. This argument has a significance over and above what it tells us about Wittgenstein’s implicit commitments. For, it puts considerable pressure on widely held contemporary views of concept learning, such as the view that we learn concepts by constructing (...) prototypes. This should lead us to abandon our general default hostility to concept nativism and be much more sceptical of claims made on behalf of learning theories. (shrink)

This paper discusses Wittgenstein's take on the problem of other minds. In opposition to certain widespread views that I collect under the heading of the “No Problem Interpretation,” I argue that Wittgenstein does address some problem of other minds. However, Wittgenstein's problem is not the traditional epistemological problem of other minds; rather, it is more reminiscent of the issue of intersubjectivity as it emerges in the writings of phenomenologists such as Husserl, Merleau-Ponty, and Heidegger. This is one sense in which (...) Wittgenstein's perspective on other minds might be called “phenomenological.” Yet there is another sense as well, in that Wittgenstein's positive views on this issue resemble the views defended by phenomenologists. The key to a proper philosophical grasp of intersubjectivity, on both views, lies in rethinking the mind. If we conceive of minds as essentially embodied we can understand how intersubjectivity is possible. (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)

A conjecture on the metaphysical nature of Tractatus objects is put forward and its interpretative adequacy is tested. The clarification of the true import of the metaphor of logical space and the recognition of the theoretical role played by Wittgenstein's explicit claim that the emptiness of logical space is conceivable enable us to account for the thesis that objects are the substance of the world. Once objects are identified with those universal abstract entities which are qualia, and complexes or states (...) of affairs with their concrete instances, some statements of the Tractatus become liable to a consistent reading: that objects are colourless ; that space, time and colour are forms of objects ; that Leibniz's Principle of the Identity of Indiscernibles, though still holding for complexes, does not apply to objects . Lastly, it is shown how the interpretation of objects as qualia sheds a vivid light on the theme of the relation between objects and time. (shrink)

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

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

Joining a vast Wittgensteinian anti-theoretical movement, John Canfield has argued that it is possible to read the claims that (1) “language is essentially communal” and (2) “it is conceptually possible that a Crusoe isolated from birth should speak or follow rules” in such a way that they are perfectly compatible, and, indeed, that Wittgenstein held them both at once. The key to doing this is to drain them of any theoretical content or implications that would put each claim at odds (...) with the other. I argue here, first of all, that it is not possible to detheorize both (1) and (2) and still hope to say anything illuminating about the nature of language. In fact, Canfield himself does not succeed in detheorizing both (1) and (2) but ends up trivializing (1) and leaving (2) with quite a bit of theoretical content. I further argue, however, that this is getting the matter the wrong way around. Contra Canfield et al., it is only when we recognize this that we can appreciate how radical and innovative Wittgenstein's claims about language really are. (shrink)

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

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

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

It is not immediately clear from Wittgenstein’s Tractatus how to connect his idea there of an object with the logical ontologies of Frege and Russell. Toward clarification on this matter, this paper compares Russell’s and Wittgenstein’s versions of the thesis of an atomic fact that it is a complex composition. The claim arrived at is that whilst Russell (at times at least) has one particular of the elements of a fact – the relation – responsible for the unity of the (...) whole, for Wittgenstein the unity of a fact is the product of copulative powers inherent in all its elements. All kinds of constituents of Tractarian facts – all kinds (forms) of object – are, to use Fregean terminology, unsaturated. (shrink)

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

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

Amongst those views sometimes attributed to the later Wittgenstein are included both a deflationary theory of truth, as well as a non-factualism about certain regions of discourse. Evidence in favor of the former attribution, it is thought, can be found in Wittgenstein’s apparent affirmation of the basic definitional equivalence of ‘p’ is true and p in §136 of his Philosophical Investigations. Evidence in favor of the latter attribution, it might then be presumed, can be found in the context of the (...) so-called ‘private language argument’, wherein Wittgenstein provides an expressivist treatment of first-person present tense sensation utterances. In this paper, by contrast, I will argue that Wittgenstein’s later philosophy is best understood as endorsing neither a non-factualism about sensation utterances, nor a deflationism about truth. Wittgenstein should instead be understood as offering a ‘mixed’ view of sensation utterances according to which some while not others are apt for expressivist treatment. Moreover, he should be thought of as identifying truth-conditions with semantic ‘correctness-conditions’, and thus truth with semantic ‘assertibility’. (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)

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

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

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)

Abstract There have been increasingly popular claims that hermeneutics provides an epistemology that is appropriate and sufficient for psychotherapy. The purpose of this paper is to evaluate and explain those claims. Hermeneutics proves to provide terms that legitimize aspects of clinical expertise that have been most ignored within the traditional empiricist epistemology; namely, hermeneutics articulates and provides standards for therapeutic interpretations about clients? idiosyncratic intentions and also for using clinical theories that defy empirical test. Nonetheless, hermeneutics also proves to be (...) limited in its account of clinical knowledge. That is, clinicians who advocate hermeneutics have ruled out any legitimate basis on which clinical expertise can be influenced by knowledge about non?intentional constraints on psychological life. Yet, therapists must use such knowledge, especially that which concerns the non?intentional constraints imposed by human development. Thus, to realize its potential, hermeneutics should be embedded within a more comprehensive epistemology that includes compatible standards for knowledge about development. Finally, this paper concludes by proposing an outline for such an inclusive approach to clinical knowledge. (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)