H.-J. Glock has made important contributions to discussions of rationality, reasons, and rules. This chapter addresses four conceptions of rationality that Glock identifies. One of these conceptions of rationality is that rationality consists in responsiveness to reasons. This chapter goes on to consider the idea that reasons became prominent in normative ethics because of their usefulness in articulating moral pluralism. The final section of the chapter connects reasons and rules and contends that both are ineliminable.

This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

At several points in his later writings Wittgenstein discusses imaginary forms of life and ways of thinking that appear queer or alien from our point of view; concepts so different from ours that those who think from within them seem to be alternatives to us. In this paper I argue that reflection on the notions of difference and possibility in play here shows that imaginary cases of alien conceptual schemes or forms of life such as those considered by Wittgenstein are (...) not all cases of concepts that are entirely unintelligible for us; rather they may represent possible, albeit distant, ways of thinking for us. Such cases serve to aid imaginative reflection on our own case(s). By making us appreciate the possibility of the strange, they help us better to appreciate the arbitrariness of the familiar. I end the paper by considering what the implications of this reading of Wittgenstein’s position might be for Donald Davidson’s rejection of conceptual relativism. (shrink)

In “Correspondence to Reality in Ethics”, Mario Brandhorst examines the view of ethics that Wittgenstein took in his later years. According to Brandhorst, Wittgenstein leaves room for truth and falsity, facts, correspondence and reality in ethics. Wittgenstein's target, argues Brandhorst, is objectivity. I argue that Brandhorst's arguments in favour of truth, facts, reality and correspondence in ethics invite similar arguments in favour of objectivity, that Brandhorst does not recognise this because his conception of objectivity is distorted by a Platonist picture (...) and that he misinterprets the passage which he takes to support a Wittgensteinian case against objectivity. (shrink)

A fundamental question in responsibility theory concerns the relation between being responsible and our practices of holding responsible. ‘Strawsonians’ often claim that being responsible is somehow a function of our practices of holding responsible, while others think that holding responsible depends on being responsible, and still others think of being and holding responsible as interdependent. Based on a Wittgensteinian reading of Strawson, I develop an account of the relation between being and holding responsible which respects major concerns of all parties (...) in this debate. I characterize the way in which being responsible depends on holding responsible as genealogical, and the way in which holding responsible depends on being responsible as justificatory. I show how my account cuts across received ways of carving up the debate, and how it allows for all the kinds of fallibility about moral responsibility that are worth wanting. (shrink)

The paper argues that no criterion-referenced assessment system can achieve both reliability and validity at one and the same time. It shows that the reasons for this are conceptual, and hence that empirical research into the‘problem’ is a waste of money and effort. Considerable discussion is devoted to ideas of knowledge and understanding, and to proper educational objectives pertaining to these. Much reference is made to the current National Curriculum context in the United Kingdom, and conclusions are drawn for appropriate (...) educational policy in this area. (shrink)

This article centres on the legal recognition of same-sex marriage with a view to exploring the issue of unspeakability; that is, the condition whereby some questions cannot be articulated because of a lack of words. More specifically, the article will explore what happens to those social practices that are not given legal speakability and thereby legal recognition/protection. To this end, I first focus on how words are produced in the sphere of everyday life and their dependence on the existence of (...) a widespread normality. I then discuss how the law sees to the preservation and the reproduction of normality by providing a set of categories which are made available to law-abiders to settle disputes when they arise. In doing so, I elucidate the twofold role played by law as both a selective and a creative device. To cast some light on the particular way law operates, I discuss an important decision by the Italian Constitutional Court in 2010, which provides a telling example of how legal officials are able to seal off the set of legal categories and to leave some issues in the sphere of the unspeakable. I then unearth a paradox: while unspeakability reveals a condition of powerlessness, the acquisition of speakability could bring about even harsher exclusionary effects. I conclude by arguing that the entry into the sphere of official law is always a Janus-faced achievement, but can play as an effective instrument of critique. (shrink)

I seek to provide a systematic and comprehensive framework for the description and analysis of scientific practice—a philosophical grammar of scientific practice, ‘grammar’ as meant by the later Wittgenstein. I begin with the recognition that all scientific work, including pure theorizing, consists of actions, of the physical, mental, and ‘paper-and-pencil’ varieties. When we set out to see what it is that one actually does in scientific work, the following set of questions naturally emerge: who is doing what, why, and how? (...) More specifically, we must arrive at some coherent philosophical accounts of the following elements of scientific practice: the agent—free, embodied, and constantly in second-person interactions with other agents; the purposes and proximate aims of the agent; types of activities that the agent engages in; ontological principles necessarily presumed for the performance of particular activities; instruments and other resources that the agent pulls together for the performance of each activity. After sketching the general framework, I also give some illustrative contrasts between the more traditional descriptions of scientific practice and the kind of descriptions enabled by the proposed framework. (shrink)

The paper provides an interpretation of Wittgenstein’s claim that a mathematical proof must be surveyable. It will be argued that this claim specifies a precondition for the applicability of the word ‘proof’. Accordingly, the latter is applicable to a proof-pattern only if we can come to agree by mere observation whether or not the pattern possesses the relevant structural features. The claim is problematic. It does not imply any questionable finitist doctrine. But it cannot be said to articulate a feature (...) of our actual usage of the word ‘proof’. The claim can be dissociated, however, from two tenable doctrines of Wittgenstein, namely that proofs can be used as paradigms for corresponding proof concepts and that a proof is not an experiment. (shrink)

The aim of this paper is to give a self-reflective account of the building of Galileo's pendulum in order to discover what were the practical contingencies of building and using the pendulum for demonstrating the law of isochronism. In doing this, the unique Lebenswelt structures of Galilean physics are explicated through the ethnomethodological concepts developed by Harold Garfinkel. The presupposition is that the practical logic of Galilean physics is embedded in the instruments themselves. In building the pendulum and recovering its (...) original use, Galilean physics becomes for ethnomethodologists a first-hand practical discovery. This is not a reconstruction of the mind of the historical Galileo but, rather, an explication of Galileo's practical perspective on the instrument as an intersubjective and interchangeable standpoint available for ethnomethodological analysis. This enables us to study historical facts from the standpoint of the practical logic of the original practice with a pedagogical eye for the instructive reproducibility of science. (shrink)

This paper offers an ethnomethodological clarification of Husserl's concepts of Galilean physics and regressive inquiry. It employs the reader's textual-practical operationalization of these concepts. With the use of a simple optical prism as a perspicuous case of a scientific instrument, the reader will be asked and instructed to make a self-reflexive inquiry into the practical contingencies of the prismatic field of reflection. The reader will discover that the geometric structures of the reflective field of the prism is an achievement and (...) formalization of the reader's own operatlonalizations. I named these discoverable discovering operationspraxioms or practical axioms — the pre-scientific contingencies of the geometric structures of prismatic reflection. (shrink)

In this paper I attempt to dissolve two confused ideas inherent in scientific studies of learning: That the locus of learning processes lies hidden inside the mind/brain, and also that this putatively hidden phenomenon causes learned actions. I attempt this dissolution through conceptual argument and data analysis, first by contrasting the use of the concept ‘learning’ in ordinary and scientific interaction, followed by a Wittgenstein-inspired conversation analysis of a micro-longitudinal case of learning interaction — a biochemist teaching lab techniques to (...) a technician — in order to demonstrate that learning processes are inherently social. I conclude that the scientific view of learning processes as hidden is misconceived through its misuse of the concept “learning”. The empirical results demonstrate that learning processes are indeed public and manifest in an indefinite number of forms, and whatever may be found in the brain associated with learning are concomitant factors, not learning itself. (shrink)

To date, film scholars have found the films of Jim Jarmusch to be tantamount to works of postmodern philosophy. For as intriguing and productive as such interpretations of Jarmusch’s films have been, I submit that the postmodern framework occludes a crucial aspect of Jarmusch’s film-philosophy, namely, his investment in the ordinary. From this perspective, I intend to show the availability of Jarmusch’s films to Wittgensteinian interpretation. More specifically, I plan to situate Jarmusch’s arthouse action film Ghost Dog: The Way of (...) the Samurai (1999) between Ludwig Wittgenstein and Jacques Derrida in order to demonstrate the profound affinities between Jarmusch’s film-philosophy and Wittgenstein’s conception of ordinary language. Through a consideration of character dialogue, I will demonstrate the extent to which Jarmusch rejects the private language argument – which, by extension, amounts to a rejection of linguistic relativism as an instance, or species, of skepticism – in favor of ordinary conceptions of language, expressiveness, knowledge, and responsibility. (shrink)

Discusses the conditions of possibility for intercultural and comparative philosophy, and for crosscultural communication at large. This innovative book explores the preconditions necessary for intercultural and comparative philosophy. Philosophical practices that involve at least two different traditions with no common heritage and whose languages have very different grammatical structure, such as Indo-Germanic languages and classical Chinese, are a particular focus. Lin Ma and Jaap van Brakel look at the necessary and not-so-necessary conditions of possibility of interpretation, comparison, and other forms (...) of interaction and how we can speak of similarities and differences in this context. The authors posit that it is necessary to dissolve the question of universalism versus relativism by replacing the ideal language paradigm with a paradigm of family resemblances and that it is not necessary to share a common language to engage in comparison. Numerous case studies are presented, including many comparisons of Western and Chinese concepts. (shrink)

This is the most comprehensive book ever published on philosophical methodology. A team of thirty-eight of the world's leading philosophers present original essays on various aspects of how philosophy should be and is done. The first part is devoted to broad traditions and approaches to philosophical methodology. The entries in the second part address topics in philosophical methodology, such as intuitions, conceptual analysis, and transcendental arguments. The third part of the book is devoted to essays about the interconnections between philosophy (...) and neighbouring fields, including those of mathematics, psychology, literature and film, and neuroscience. (shrink)

RésuméPaul Boghossian soutient contre Wittgenstein que le normativisme au sujet de la logique et des mathématiques est incompatible avec le fait de tenir les énoncés logiques et mathématiques pour vrais et que le normativisme entraîne une régression indue. Je soutiens, pour ma part, que le normativisme n'entraîne pas une telle régression, parce que les normes peuvent être implicites et que le normativisme peut bien être «factualiste» si l'on rejette ce que Rockney Jacobsen appelle le «cognitivisme sémantique». Je tiens en outre (...) que la position de Boghossian repose sur la façon trompeuse dont il découpe le terrain conceptuel. (shrink)

Wittgenstein's principal works, the Tractatus Logico‐Philosophicus and Philosophical Investigations, are each written in such strikingly unconventional ways that it takes considerable effort to translate them into conventional philosophical writing. The most important aspect of Wittgenstein's style for an understanding of his philosophy is his use of multiple voices, and the way he forces his reader to engage with those voices in order to understand him. This chapter provides an outline of the leading macro‐level answers to the question which of Wittgenstein's (...) writings set out his philosophy, and which set out views he rejected. Wittgenstein's method of composition, revision, and rearrangement, leads from the remarks written down in his wartime notebooks, to a manuscript containing several stages of construction of the Prototractatus, and from there to the polished typescript of the Tractatus. The chapter illustrates how to interpret Wittgenstein's remarks without taking a position on questions about texts and style, voice and authorship. (shrink)

This article questions social constructionists' claims to introduce Wittgenstein's philosophy to psychology. The philosophical fiction of a neonate Crusoe is introduced to cast doubt on the interpretations and use of the private language argument to support a new psychology developed by the constructionists. It is argued that a neonate Crusoe's viability in philosophy and apparent absence in psychology offends against the integrity of the philosophical contribution Wittgenstein might make to psychology. The consequences of accepting Crusoe's viability are explored as they (...) appear in both philosophy and psychology. (shrink)

Throughout his whole work, Wittgenstein seizes on a distinction between logical and physical possibility, and impossibility. Despite this continuity and although, Wittgenstein brings in this distinction in various contexts and from different vantage points, he often solely brushes over it without elaborating in detail. In the so-called Big Typescript, however, he dedicates himself not only to the distinction between logical and physical possibility but also to the distinction between logical possibility and impossibility in particular investigations. In the course of these (...) investigations, another aspect arises and is tossed and turned repeatedly by Wittgenstein – namely, the place of “imaginability” in these considerations. On the basis of three focussed chapters in the Big Typescript, I argue that “imaginability” as an utterance of the form “being able to imagine ‘what it would be like’” can be allocated the place of a criterion for logical possibility. To this end, I will first outline the chapters 96., 27. and 26. in one section each. Although in these chapters, Wittgenstein only indicates rather than claiming explicitly “imaginability” to be a criterion for logical possibility, I will discuss in the last section how this conclusion can be drawn by combining the results of the previous sections. (shrink)

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

Vacillating and mixed emotional experiences are often difficult to explore and understand because they confront the limits of our language's ability to capture private experiences in extreme or abnormal circumstances. In this paper, we build upon remarks by Wittgenstein (1953) to present a conceptual-discursive perspective based on naturalistic examples of individuals vacillating between pride and other emotions. This perspective is used to show how relevant emotion theories contain conceptual errors of the sort identified by Wittgenstein. The “assembled reminders” of shifts (...) between pride and other emotions are presented in contrast to analyses that focus on people's identification of causes of emotions, an approach which leads to theoretical speculation about underlying appraisal set changes or discussion of the empirical justification of cognitive ontology. We bypass a direct confrontation on these issues by examining how people's talk about the content of vacillating and mixed emotional experiences (i.e., aspect shifts) augments a shared “emotionology” with creative expressions and poetic comparisons. This last point is illustrated by the emotional instability experienced by individuals with Borderline Personality Disorder (BPD). Support for the conceptual-discursive perspective is provided by the success of a particular therapeutic approach, the Conversational Model, in ameliorating the developmental disruption of BPD by encouraging participation in empathic conversations. We conclude that a conceptual-discursive perspective undermines the cognitive appraisal “picture” of vacillating emotions and adds to our understanding. (shrink)

[A. W. Moore] There are criteria of ineffability whereby, even if the concept of ineffability can never serve to modify truth, it can sometimes serve to modify other things, specifically understanding. This allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein's Tractatus and those who adopt the new reading recently championed by Diamond, Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather than (...) ineffable truth, we can do considerable justice to each of these readings. We can also do considerable justice to the Tractatus. /// [Peter Sullivan] Moore proposes to cut between 'traditional' and 'new' approaches to the Tractatus, suggesting that Wittgenstein's intention is to convey, through the knowing use of nonsense, ineffable understanding. I argue, first, that there is indeed room for a proposal of Moore's general kind. Secondly, though, I question whether Moore's actual proposal is not more in tune with Wittgenstein's later thought than with the attitude of the Tractatus. (shrink)

The basic alternatives seem to be either a Humean reductionist view that any particular assertion needs backing with inductive evidence for its reliability before it can retionally be believed, or a Reidian criterial view that testimony is intrinscially, though defeasibly, credible, in the absence of evidence against its reliability.Some recent arguments from the constraints on interpreting any linguistic performances as assertions with propositional content have some force against the reductionist view. We thus have reason to accept the criterial view, at (...) least as applied to eyewitness reports. But these considerations do not establish that any rational enquirer must have the concept of other minds or testimony. The logical possibility of the lone enquirer, who uses symbols and thereby expresses some knowledge of his world, remains open — but it is a question we have no need to pronounce upon. (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)

Wittgenstein’s writings and lectures during the first half of the 1930s play a crucial role in any interpretation of the relationship between the Tractatus and the Philosophical Investigations . G. E. Moore’s notes of Wittgenstein’s Cambridge lectures, 1930-1933, offer us a remarkably careful and conscientious record of what Wittgenstein said at the time, and are much more detailed and reliable than previously published notes from those lectures. The co-authors are currently editing these notes of Wittgenstein’s lectures for a book to (...) be published by Cambridge University Press. We describe the materials that make up Moore’s notes, explain their unique value, review the principal editorial challenges that these materials present, and provide a brief outline of our editorial project. (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)

Darwin’s theory predicts that linguistic behavior gradually evolved out of animal forms of communication. However, this prediction is confronted by the conceptual problem that there is an essential difference between signaling and linguistic behavior: using words is a normative practice. It is argued that we can resolve this problem if we note that language evolution is the outcome of an evolutionary transition, and observe that the use of words evolves during ontogenesis out of babbling. It is discussed that language evolved (...) as the result of an expansion of the vocalizing powers of our ancestors. This involved an increase in the volitional control of our speech apparatus, but also the evolution of socially guided learning. It resulted in unique human abilities, namely doing things with words and later reasoning and giving reasons. (shrink)

This article discusses some essential differences between the Cartesian and neo-Aristotelian conceptions of child development. It argues that we should prefer the neo-Aristotelian conception since it is capable of resolving the problems the Cartesian conception is confronted by. This is illustrated by discussing the neo-Aristotelian alternative to the Cartesian explanation of the development of volitional powers, and the neo-Aristotelian alternative to the Cartesian simulation theory and theory–theory account of the development of social cognition. The neo-Aristotelian conception is further elaborated by (...) discussing how it differs from both behaviorism and cognitive neuroscience. (shrink)

Elvira Schnabel; Wittgenstein on Rules: what follows and what does not, Journal of Philosophy of Education, Volume 25, Issue 1, 30 May 2006, Pages 83–94, https.

El presente trabajo explora la posible afinidad de método entre las obras de Walter Benjamin y Ludwig Wittgenstein. El intento por parte de Benjamin de desarrollar un nuevo método de representación histórica gravita en torno a la categoría de “origen”, la cual sostiene sus más importantes trabajos de investigación histórica. En paralelo al trabajo de Benjamin, Wittgenstein dedicó una especial atención al problema de una exposición filosófica de los fenómenos, en especial en sus investigaciones sobre el lenguaje, a través de (...) categorías como la “representación perspicua” o la “visión de aspectos”. La filiación común de la reflexión de ambos autores en la morfología de Goethe nos permitirá definir el perfil de un posible enfoque estético para la investigación filosófica, dirigida a captar la generalidad de los fenómenos sin renunciar a salvaguardar su singularidad única. (shrink)

Rorty's assessment of the origins of the analytic/continental divide is discussed and criticized on several grounds. Rorty's plea in favour of the philosophical quietism implicit in the pragmatists' dismissal of metaphysics rests on an uncritical faith in scientific progress. To emphasize the tensions implicit in the ideal of progress a novel interpretation of the significance of Faust's encounter with Sorge (Care) is offered and compared with Heidegger's construal of Sorge in Sein und Zeit . A better understanding of the analytic/continental (...) divide is gained if we concentrate on the impact of Nazism and Fascism on the philosophical tradition with which philosophers living on the Continent had to come to terms after the Second World War. In this respect Adorno's attitude to progress in general and to philosophy in particular is very instructive and can be usefully contrasted with Rorty's dismissal of metaphysics. (shrink)

In this essay I will consider two theses that are associated with Frege,and will investigate the extent to which Frege really believed them.Much of what I have to say will come as no surprise to scholars of thehistorical Frege. But Frege is not only a historical figure; he alsooccupies a site on the philosophical landscape that has allowed hisdoctrines to seep into the subconscious water table. And scholars in a widevariety of different scholarly establishments then sip from thesedoctrines. I believe (...) that some Frege-interested philosophers at various ofthese establishments might find my conclusions surprising.Some of these philosophical establishments have arisen from an educationalmilieu in which Frege is associated with some specific doctrine at theexpense of not even being aware of other milieux where other specificdoctrines are given sole prominence. The two theses which I will discussillustrate this point. Each of them is called Frege''s Principle, but byphilosophers from different milieux. By calling them milieux I do not want to convey the idea that they are each located at some specificsocio-politico-geographico-temporal location. Rather, it is a matter oftheir each being located at different places on the intellectuallandscape. For this reason one might (and I sometimes will) call them(interpretative) traditions. (shrink)

Quine has been charged with eliminating the normative dimension from his naturalized epistemology. The aim of the paper is to look at the role of empathy in Quine's language learning situation, which in its simplest form is constituted by the parent-child relation. We will explore the normativity of the role of empathy thereof by exploiting the sociality of the language learning situation. Since the sociality of Quine's notion of empathy is implicit, to explore the normativity expression thereof, we will examine (...) the explicit sociality of Wittgenstein's language learning situation-also constituted in its simplest form by the master-novice relation-and the normative character of it. By explicating the normativity of the calibrating role of the master and of rule following generally, we will parse the social dimensions of the empathizing role of the linguist in Quine's language learning situation. Finally, by examining the nature of normativity in empathizing, we will establish that the normativity of empathizing involved in Quine's language learning situation is socially grounded without denying its individual dimension. We will conclude that the normativity objection against Quine's naturalism thus stands refuted. (shrink)

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

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)

Some philosophers of education think that there is a pedagogically informative concept of training that can be gleaned from Wittgenstein's later writings: training as initiation into a form of life. Stickney, in 'Training and Mastery of Techniques in Wittgenstein's Later Philosophy: A response to Michael Luntley'takes me to task for ignoring this concept. In this essay I argue that there is no such concept to be ignored. I start by noting recent developments in Wittgenstein scholarship that raise serious issues about (...) how we should handle the translation of Arbrichtung and arbrichten. I then concentrate on the substantive philosophical issues about the very idea that training can have a pedagogically productive role in education. I show that what work training does is a function of the prior skill set of the trainee. This means that we have to endorse some form of rationalism and acknowledge that the learner can only respond to training if they already possess sufficient mental equipment to generate the appropriate responses. (shrink)