Alternative mathematics and the strong programme: Reply to Triplett

Timm Triplett argues (Inquiry 29 [1986], no. 4) that David Bloor does not succeed in justifying a relativistic interpretation of mathematics. It is objected that Triplett has focused his attention on the wrong chapter of Bloor's Knowledge and Social Imagery, and that the examples which Triplett demands Bloor provide to make the case do appear in the subsequent chapter. Moreover, Bloor has anticipated and refuted Triplett's brief criticism of the examples that make Bloor's case for the relativism of mathematics. Finally, Triplett's own example of a basic mathematical truth can be shown to be socially relative.     

The End(s) of Philosophy: Rhetoric, Therapy and Wittgenstein's Pyrrhonism

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.     

Language and the use of language

Antony Flew's ‘A Strong Programme for the Sociology of Belief (Inquiry 25 {1982], 365–78) critically assesses the strong programme in the sociology of knowledge defended in David Bloor's Knowledge and Social Imagery. I argue that Flew's rejection of the epistemological relativism evident in Bloor's work begs the question against the relativist and ignores Bloor's focus on the social relativity of mathematical knowledge. Bloor attempts to establish such relativity via a sociological analysis of Frege's theory of number. But this analysis only succeeds if the rejection of an explanatory theory entails that there are reasonable grounds for the rejection of the set of propositions which that theory was intended to explain. I argue against such an entailment, and thus against Bloor's attempt to relativize mathematical knowledge.     

Wittgenstein's Private Language Investigation

In this paper, I first review previous interpretations of Wittgenstein's remarks on private language, revealing their inadequacies, and then present my own interpretation. Basing mainly on Wittgenstein's notes for lectures on private sensations, I establish the following points: (i) ‘remembering the connection right’ means ‘reidentifying sensation‐types’; (ii) the reason for ‘no criterion of correctness’ is that nothing, especially no inner mechanisms nor external devices, can be utilised by the private speaker to tell whether some sensations are of one type or different types; and (iii) private names are not really names, private language is not really a language, therefore, private language is a grammatical illusion. My interpretation has the advantage of being able to reconcile Wittgenstein's conception of philosophy, which is to dissolve philosophical problems by rearranging grammatical facts, with his actual philosophical practice, at least in the case of private language.     

Von Wright and Wittgenstein on (the Varieties of) Goodness and Family Resemblance: A Constructive Rejoinder to Klagge (2018)

James C. Klagge (2018) readings of G. H. von Wright's and Wittgenstein's views concerning goodness and family resemblance are criticised and new interpretations are provided: Pace Klagge, (i) von Wright's arguments against goodness as a family-resemblance concept do not concern cases of goodness but the interrelations between the conceptual varieties of goodness; (ii) Wittgenstein did not endorse a ‘constitutivist account of goodness’ in his 1933 lectures; and (iii) Wittgenstein did not come close to Stevenson's emotivism in his Philosophical Investigations. Rather, Wittgenstein's later remarks on goodness may be read as ‘objects of comparison’ (PI §130), implying no strong theoretical commitments.     

Bloor's bluff: Behaviourism and the strong programme

The accumulated case studies in the Sociology of Scientific Knowledge have been taken to establish the Strong Programme's thesis that beliefs have social causes in contradistinction to psychological ones. This externalism is essentially a commitment to the stimulus control of behaviour which was the principal tenet of orthodox Skinnerian Behaviorism. Offered as ‘straight forward scientific hypotheses’ these claims of social determination are asserted to be ‘beyond dispute’.

However, the causes of beliefs and especially their contents has also been the subject of intense study in the quite different domain of cognitive science where internal states, images, rules, representations and schemas are postulated as explanatory constructs. Such explanations which postulate mental states are described by Bloor as infected by the ‘disease’ of ‘psychologism’ and Bloor has defined his Strong Programme in terms of its diametrical opposition to mentalistic theories. For example, Bloor has explicitly endorsed the Behaviourist rejection of mental representations such as images. Accordingly, a direct comparison of these radically divergent approaches to a common subject matter is of considerable interest.

The paper attempts to reveal the unnoticed enormity and recidivism of the sociological programme, and how its vulnerability is betrayed in Bloor's response to criticism on central issues.     

On Wittgenstein's Kantian solution of the problem of philosophy

In 1931 Wittgenstein wrote: ‘the limit of language manifests itself in the impossibility of describing the fact that corresponds to (is the translation of) a sentence without simply repeating the sentence’. Here, Wittgenstein claims, ‘we are involved?…?with the Kantian solution of the problem of philosophy’. This paper shows how this remark fits with Wittgenstein's early account of the substance of the world, his account of logic, and ultimately his view of philosophy. By contrast to the currently influential resolute reading of the Tractatus, the paper argues that the early Wittgenstein did not aim at destroying the idea of a limit of language, but that the notion lies at the very heart of Wittgenstein's early view. In doing so, the paper employs and defends the Kantian interpretation of Wittgenstein's early philosophy.     

Feeling at home in language

What do we learn about language from reading Wittgenstein'sPhilosophical Investigations? This question gains urgency from Wittgenstein's alleged animus against philosophical theorizing and his indirectness. Section 1 argues that Wittgenstein's goal is to prevent philosophical questioning about the foundations of language from the beginning. This conception of his aim is not in tension with Wittgenstein's use of the notion of community; “community interpretations” of his views betray a misguided commitment to the coherence of the idea that language might need grounding. Wittgenstein's goal is not to enjoin us not to step “outside of language-games”, but to show that we have insufficiently clear grasp of the terms we try to use to express the limits of intelligibility. Section 2 suggests that appreciating Wittgenstein's moral concerning the relation between language and philosophizing about it involves allowing him to teach us how to read his book. What makes readingPhilosophical Investigations possible is openness to learning how not to forget our lives in language.     

IS THERE A TENSION IN WITTGENSTEIN'S PHILOSOPHY OF RELIGION?

This paper responds to Severin Schroeder's recent charge that Wittgenstein's philosophy of religion contains an ‘unresolved tension’ between three propositions, namely: (1) ‘As a hypothesis, God's existence (&c) is extremely implausible’; (2) ‘Christian faith is not unreasonable’; and (3) ‘Christian faith does involve belief in God's existence (&c)’. I argue as follows: that the first of these propositions has no place in Wittgenstein's thinking on religion; that the second is ill‐phrased and should be re‐worded as the proposition that ‘Christian faith is neither unreasonable nor reasonable’; and that the third proposition (contrary to what Schroeder seems to assume) tells us nothing about the nature of the objects of religious belief. It follows from my argument that Schroeder has not exposed a tension in Wittgenstein's thoughts on religion. I end with some positive remarks about Wittgenstein's method.     

WORLDS OR WORDS APART? WITTGENSTEIN ON UNDERSTANDING RELIGIOUS LANGUAGE

In this paper I develop an account of Wittgenstein's conception of what it is to understand religious language. I show that Wittgenstein's view undermines the idea that as regards religious faith only two options are possible – either adherence to a set of metaphysical beliefs (with certain ways of acting following from these beliefs) or passionate commitment to a ‘doctrineless’ form of life. I offer a defence of Wittgenstein's conception against Kai Nielsen's charges that Wittgenstein removes the ‘content’ from religious belief and renders the religious form of life ‘incommensurable’ with other domains of discourse, thus immunizing it against rational criticism.     

The Sound of Bedrock: Lines of Grammar between Kant,Wittgenstein, and Cavell

In ‘Aesthetics Problems of Modern Philosophy’ Stanley Cavell proposes, first, that Kant's characterization of judgments of beauty may be read as a Wittgensteinian grammatical characterization, and, second, that the philosophical appeal to ‘what we say and mean’ partakes of the grammar of judgment of beauty. I argue first that the expression of the dawning of an aspect partakes of the grammar of judgments of beauty as characterized by Kant, and may also be seen—on a prevailing way of thinking about concepts and how they relate to their instances—to have the same kind of significance that judgments of beauty have according to Kant. And then I argue that there are good (Wittgensteinian) reasons for being suspicious of the prevailing conception of concepts, and therefore good reasons for being suspicious of the proposed understanding of the significance of aspect perception—an understanding that has attracted many readers of Wittgenstein's remarks on aspects. This leads me to suggest that it is actually the philosophical appeal to ordinary language that has the kind of significance that the Kantian picture attributes to judgments of beauty and to the seeing of aspects. In this way, I offer a way to vindicate Cavell's second proposal.     

Actualism and Incarnation: The High Christology of Friedrich Schleiermacher

Abstract: Defining Schleiermacher's Christology simply as ‘low’ is inadequate, and based on a neglect of the crucial role that actualism plays in his theology. However, accounts that see his Christology as so high as to be docetic are equally unhappy. This article shows that there is a different way to read Schleiermacher's theology, one that avoids both views. By looking at how Schleiermacher's Christology proceeds in both ‘vertical’ and ‘horizontal’ directions, it shows that through correctly understanding Schleiermacher's actualism we are able to see that, for Schleiermacher, Christ is the one who reproduces God's pure act of love through his own God‐consciousness. Christ, then, exists as pure activity and so, for Schleiermacher, is God incarnate. The article then addresses two common objections to Schleiermacher's Christology: that Schleiermacher's Christ is not fully human; and that, if Christ is pure act, what of the passion? The piece closes with an account of the relationship of Christology and Trinity.     

Nonsense on Stilts? Wittgenstein,Ethics, and the Lives of Animals

Wittgenstein is often invoked in philosophical disputes over the ethical justifiability of our treatment of animals. Many protagonists believe that Wittgenstein's philosophy points to a quantum difference between human and animal nature that arises out of humans' linguistic capacity. For this reason – its alleged anthropocentrism – animal liberationists tend to dismiss Wittgenstein's philosophy, whereas, for the same reason, anti‐liberationists tend to embrace it. I endorse liberationist moral claims, but think that many on both sides of the dispute fail to grasp the import of Wittgenstein's philosophy. My argument proceeds through close engagement with Michael Leahy's Against Liberation, which makes extensive use of Wittgenstein's ‘notion of language‐games’ as an ‘essential methodological aid’ in its defence and justification of the moral status quo. Leahy's understanding and application of that method exemplifies an entrenched interpretative stance in the wider Wittgensteinian scholarship which I seek to counter. This enables me to show that far from entailing conservatism, as some of his critics and followers contend, Wittgenstein's philosophical method is just as conducive to radical moral and political critique as it is to any other normative position.     

Frank Ebersole on Wittgenstein and Pictures in Philosophy

How do we get into trouble in philosophy, and what do pictures have to do with it? This article addresses Frank Ebersole's thoughts on (Wittgenstein's remarks on) pictures in philosophy. It identifies the puzzlement generated for Ebersole by what Wittgenstein says and also considers some puzzling aspects of Ebersole's own renderings of pictures. It distinguishes between the philosophical picture and the pictorial form in which it may be crystalized and shows how philosophy's reliance on situationally disembedded grammatical stories (pictorial or not) leads us into trouble. Accordingly, responding to such trouble consists not in recovering the picture, in the sense of a single “object” or image we had before our mind's eye, but in—what is better described as Ebersole's strategy of—supplying a grammatical example (pictorial or otherwise) to go with our thinking, an example that makes what we think and say clear to ourselves.     

Categorial Indeterminacy,Generality and Logical Form in Wittgenstein's Tractatus

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.     

Revisioning Fordham's ‘Defences of the self’ in light of modern relational theory and contemporary neuroscience

This paper explores the evolution of Michael Fordham's ideas concerning ‘defences of the self’, including his application of this concept to a group of ‘difficult’ adult patients in his famous 1974 paper by the same name. After tracing the relevance of Fordham's ideas to my own discovery of a ‘self‐care system’ in the psychological material of early trauma patients (Kalsched 1996 ), I describe how Fordham's seminal notions might be revisioned in light of contemporary relational theory as well as early attachment theory and affective neuroscience. These revisionings involve an awareness that the severe woundings of early unremembered trauma are not transformable through interpretation but will inevitably be repeated in the transference, leading to mutual ‘enactments’ between the analytic partners and, hopefully, to a new outcome. A clinical example of one such mutual enactment between the author and his patient is provided. The paper concludes with reflections on the clinical implications of this difficult case and what it means to become a ‘real person’ to our patients. Finally, Jung's alchemical views on transference are shown to be useful analogies in our understanding of the necessary mutuality in the healing process with these patients.     

The danger of words: a Wittgensteinian lesson for developmentalists

Borrowing from Wittgenstein's and Drury's ideas, this article shows that, by overlooking Wittgenstein's message about the danger of words and the importance of the grammar and clarification of concepts, some developmentalists sometimes fall prey to the fallacy of the alchemists, the fallacy of Molière's doctor, the fallacy of the “missing hippopotamus”, the fallacy of Van Helmont, and the fallacy of “Pickwickian senses”. As a result of these fallacies, the field of development (and psychology) is paved with ungrounded concepts, circular explanations, untenable reifications, misleading and nonsensical conclusions, and a mix-up of language-games. We suggest that to remedy such state of affairs psychologists should not ignore or overlook Wittgenstein's message about the danger of words to bewitch our thought, and should take his conceptual or grammatical investigations, not suspiciously, but as a preliminary and indispensable step to set the stage for appropriate factual and functional investigations, and for intelligible, coherent, and meaningful theoretical presumptions.     

The Good,the Bad,and the Vacuous: Wittgenstein on Modern and Future Musics

This article explains Wittgenstein's distinction between good, bad, and vacuous modern music which he introduced in a diary entry from January 27, 1931. I situate Wittgenstein's discussion in the context of Oswald Spengler's ideas concerning the decline of Western culture, which informed Wittgenstein's philosophical progress during his middle period, and I argue that the music theory of Heinrich Schenker, and Wittgenstein's critique thereof, served as an immediate link between Spengler's cultural pessimism and Wittgenstein's threefold distinction. I conclude that Wittgenstein's distinction between bad and vacuous modern music is analogous to Schenker's distinction between the compositional fallacies of the progressive and the reactionary composers of his time. Concomitantly, Wittgenstein's philosophically problematic notion of good modern music transcended the conceptual framework of both Schenker and Spengler. In this context, I examine Wittgenstein's remarks on Gustav Mahler as well as his remark on the music of the future as monophony, which, I conclude, should be understood ultimately as an ellipsis of his much later view of musical meaning and intelligibility.