This part of Logic, which studies what reasoning is, and how it must proceed whatever its content or the use which the mind makes of it (investigation or demonstration), should therefore be called formal Logic even at the risk of ambiguity.

This is a short, and therefore necessarily very incomplete discussion of one of the great questions of modern philosophy. I return to a station at which an interpretative train of thought of mine came to a halt in a paper written almost 20 years ago, about Wittgenstein and Chomsky,[1] hoping to advance a little bit further down the track. The rule-following passages in the Investigations and Remarks on the Foundations of Mathematics in fact raise a number of distinct issues about (...) rules, meaning, objectivity, and reasons, whose conflation is encouraged by the standard caption, "the Rule-following Considerations".[2] So, let me begin by explaining my focus here. (shrink)

Tractatus Logico-Philosophicus by Ludwig Wittgenstein: three parallel tree-structured editions. (1) Tree-structured arrangement of the German text, edited by David G. Stern, Joachim Schulte and Katia Saporiti. (2) Tree-structured arrangement of the English translation by Ogden and Ramsey, edited by David G. Stern. (3) Tree-structured arrangement of the English translation by Pears and McGuinness, edited by David G. Stern.

This paper reconsiders certain of Kierkegaard's criticisms of Hegel's theoretical philosophy in the light of recent interpretations of the latter. The paper seeks to show how these criticisms, far from being merely parochial or rhetorical, turn on central issues concerning the nature of thought and what it is to think. I begin by introducing Hegel's conception of "pure thought" as this is distinguished by his commitment to certain general requirements on a properly philosophical form of inquiry. I then outline Hegel's (...) strategy for resolving a crucial problem he takes himself to face. For his account of the nature of thought depends upon the idea of a form of inquiry in which nothing whatsoever is presupposed; but this idea appears basically paradoxical inasmuch as the mere act of beginning to inquire in a certain way embodies an assumption about how it is appropriate to begin. Turning to Kierkegaard, I consider a key objection to the effect that Hegel's strategy for resolving this paradox depends on the incoherent idea of a purely reflexive act of thinking. Finally, I draw out some central features of the alternative account of "situated" thought and inquiry which Kierkegaard presents as distinctively Socratic. (shrink)

Abstract This paper offers an appraisal of Phillip Pettit's approach to the problem how a merely finite set of examples can serve to represent a determinate rule, given that indefinitely many rules can be extrapolated from any such set. I argue that Pettit's so-called ethnocentric theory of rule-following fails to deliver the solution to this problem he sets out to provide. More constructively, I consider what further provisions are needed in order to advance Pettit's general approach to the problem. I (...) conclude that what is needed is an account that, whilst it affirms the view that agents' responses are constitutively involved in the exemplification of rules, does not allow such responses the pride of place they have in Pettit's theory. (shrink)

This paper reexamines Kierkegaard's work with respect to the question whether truth is one or many. I argue that his famous distinction between objective and subjective truth is grounded in a unitary conception of truth as such: truth as self-coincidence. By explaining his use in this context of the term ‘redoubling’ [Fordoblelse], I show how Kierkegaard can intelligibly maintain that truth is neither one nor many, neither a simple unity nor a complex multiplicity. I further show how these points shed (...) much-needed light on the relationship between objective and subjective truth, conceived not as different kinds or species of truth but as different ways in which truth manifests itself as a standard of success across different contexts of inquiry. (shrink)

This paper addresses the issue of rule-following in the context of the problem of the criterion. It presents a line of reasoning which concludes we do not know what rule we follow, but which develops independently of the problem of extrapolation that plays a major role in many recent discussions of rule-following. The basis of the argument is the normativity of rules, but the problem is also distinct from the issue of the gap between facts and values in axiology. The (...) paper further points out that the epistemic problem of not knowing what rule we follow leads to the outright denial of rule-following. (shrink)

This paper addresses the issue of rule-following in the context of the problem of the criterion. It presents a line of reasoning which concludes we do not know what rule we follow, but which develops independently of the problem of extrapolation that plays a major role in many recent discussions of rule-following. The basis of the argument is the normativity of rules, but the problem is also distinct from the issue of the gap between facts and values in axiology. The (...) paper further points out that the epistemic problem of not knowing what rule we follow leads to the outright denial of rule-following. (shrink)

This chapter discusses the complex conditions for the emergence of 19th-century symbolic logic. The main scope will be on the mathematical motives leading to the interest in logic; the philosophical context will be dealt with only in passing. The main object of study will be the algebra of logic in its British and German versions. Special emphasis will be laid on the systems of George Boole and above all of his German follower Ernst Schröder.

How is it that we think and refer in the first-person way? For most philosophers in the analytic tradition, the problem is essentially this: how two apparently conflicting kinds of properties can be reconciled and united as properties of the same entity. What is special about the first person has to be reconciled with what is ordinary about it. The range of responses reduces to four basic options. The orthodox view is optimistic: there really is a way of reconciling these (...) apparently contradictory properties as contained within the same thing. The heretical views are pessimistic and content to be so: there is no such way, and that is because there is simply nothing to reconcile – because there is really nothing special about what is in question; or there is really nothing ordinary about it; or there is really nothing …. (shrink)

Kevin Mulligan; VI*—Justification, Rule-breaking and the Mind1, Proceedings of the Aristotelian Society, Volume 99, Issue 1, 1 June 1999, Pages 123–140, https:/.

The view that psychological episodes have a physical nature (physicalism) and the view that they have a mental nature (Cartesian dualism) can be distinguished from the view that they have a purely normative nature. I explore some strands of a distinct, fourth view: psychological episodes are what they are because of the actual and possible relations of defeasible justification in which they stand; defeasible justification is an internal relation; it is not at bottom a normative matter; rule-following presupposes such internal (...) relations; to follow a rule is not to break it. (shrink)

Paul Horwich has argued that Kripke's Wittgenstein's 'sceptical challenge' to the notion of meaning and rule-following only gets going if an 'inflationary' conception of truth is presupposed, and he develops a 'use-theoretic' conception of meaning which he claims is immune to Kripke's Wittgenstein's sceptical attack. I argue that even if we grant Horwich his 'deflationary' conception of truth, that is not enough to undermine Kripke's Wittgenstein's sceptical argument. Moreover, Horwich's own 'use-theoretic' account of meaning actually falls prey to that sceptical (...) challenge. (publisher). (shrink)

Paul Horwich has argued that Kripke's Wittgenstein's 'sceptical challenge' to the notion of meaning and rule-following only gets going if an 'inflationary' conception of truth is presupposed, and he develops a 'use-theoretic' conception of meaning which he claims is immune to Kripke's Wittgenstein's sceptical attack. I argue that even if we grant Horwich his 'deflationary' conception of truth, that is not enough to undermine Kripke's Wittgenstein's sceptical argument. Moreover, Horwich's own 'use-theoretic' account of meaning actually falls prey to that sceptical (...) challenge. (publisher). (shrink)

John Lippitt, Daniel Hutto; XIII*—Making Sense of Nonsense: Kierkegaard and Wittgenstein, Proceedings of the Aristotelian Society, Volume 98, Issue 1, 1 June 19.

The aim of this paper is to make sense of cases of apparent nonsense in the writings of Kierkegaard and Wittgenstein. Against commentators such as Cora Diamond and James Conant, we argue that, in the case of Wittgenstein, recognising such a category of nonsense is necessary in order to understand the development of his thought. In the case of Kierkegaard, we argue against the view that the notion of the 'absolute paradox' of the Christian incarnation is intended to be nonsensical. (...) However, we recognise that Kierkegaard's discussion of Christianity uses a similar methodology to a Wittgensteinian grammatical investigation. We maintain that by making sense of their respective views on nonsense and paradox we are able more fully to appreciate their positions on, and approaches to, ethics and religion. (shrink)

Noam Chomsky's Poverty of the Stimulus Argument is one of the most famous and controversial arguments in the study of language and the mind. Though widely endorsed by linguists, the argument has met with much resistance in philosophy. Unfortunately, philosophical critics have often failed to fully appreciate the power of the argument. In this paper, we provide a systematic presentation of the Poverty of the Stimulus Argument, clarifying its structure, content, and evidential base. We defend the argument against a variety (...) of philosophical criticisms, new and old, and argue that the Poverty of the Stimulus Argument continues to deserve its guiding role in the study of language and the mind. (shrink)

Discussion of Wittgenstein's philosophy has suffered from a scarcity of commentators who understand his work well enough to explain it in their own words. Apart from certain notable exceptions, all too many advocates and critics alike have tended merely to repeat slogans, with approval or ridicule as the case may be. The result has been an unusual degree of polarization and acrimony—some philosophers abandoning normal critical standards, falling under the spell and becoming fanatical supporters; and others taking an equally extreme (...) opposite view, deriding the absence of analytic technique, and refusing to see anything of value in Wittgenstein's work. (shrink)

The aim of the paper is to follow a lead of Prof. Stanley Cavell's in his paper, "Kierkegaard's On Authority and Revelation." The lead is: "to understand an utterance religiously you have to be able to share its perspective... The religious is a Kierkegaardian stage of life; and I suggest it should be thought of as a Wittgensteinian form of life." I try to present "form of life" as a larger picture sometimes necessary for understanding language-games, and to suggest that (...) what counts as a form of life will depend upon what particular language-game one is trying to understand. Sometimes then, a person's religious belief might figure into this process as a relevant form of life. I then try to represent Kierkegaard's religious stage by discussing three related concepts: paradox, ideal interpretation, and subjectivity. Paradox is one criterion for marking off the religious stage from the ethical and the aesthetical stages. In the religious stage, the talk of believers about God is such that it interprets the events in one's life according to that belief. In calling this an "ideal interpretation" Kierkegaard is calling our attention to the difference between this and the scientific talk of hypothesis, observation, and evidence. The religious stage is subjectivity—a way of life. In it, the truth of what one says is measured by how one lives in relation to it. This, I suggest, is quite close to Wittgenstein's idea of a form of life being important for understanding the language used within it. My conclusion is that Prof. Cavell's suggestion is a helpful lead in thinking about the connection between Wittgenstein's "form of life" and Kierkegaard's religious stage. (shrink)

Through a study of argument, science, art, and human intelligence, Louis Groarke explores and builds on a line of Aristotelian thought that traces the origins of logic and knowledge to a mental creativity that is able to leap to insightful and truthful conclusions on the basis of restricted evidence. In an Aristotelian Account of Induction Groarke discusses the intellectual process through which we access the "first principles" of human thought - the most basic concepts, The laws of logic, The universal (...) claims of science and metaphysics, And The deepest moral truths. Following Aristotle and others, Groarke situates the first stirrings of human understanding in a creative capacity for discernment that precedes knowledge, even logic. Relying on a new historical study of philosophical theories of inductive reasoning from Aristotle To The twenty-first century, Groarke explains how Aristotle offers a viable solution To The so-called problem of induction, while offering new contributions to contemporary accounts of reasoning and argument and challenging the conventional wisdom about induction. In recovering and developing philosophical ideas that have been largely overlooked or misrepresented by more recent sources, An Aristotelian Account of Induction makes a major contribution To The historical study of philosophy and to critical debate. (shrink)

Wittgenstein, Korsgaard and the Publicity of Reasons. . ???aop.label???. doi: 10.1080/0020174X.2013.776297.

In The Sources of Normativity, Christine Korsgaard tried to argue against what she called the ‘privacy’ of reasons, appealing to Wittgenstein's argument against the possibility of a private language. In recent work she continues to endorse Wittgenstein's perspective on the normativity of meaning, although she now emphasizes that her own argument was only meant to be analogous to the private language argument. The purpose of the present paper is to show that the Wittgensteinian perspective is not only not useful in (...) support of Korsgaard's general project, but that it is positively inimical to it, in two ways. First, Wittgenstein opposes views on which principled or rule-following behavior requires that one be guided by anything like a mental representation of a rule or principle. But for Korsgaard, human action essentially requires this. Second, Wittgenstein systematically attempts to de-emphasize the importance of the first-personal perspective, and to emphasize the social functions even of concepts that might seem deployed primarily from that perspective: for example, concepts of sensations and intentions. This is the reverse of Korsgaard's emphasis. The paper also argues, however, that the private language argument does have some implications for a theory of rationality and reasons. (shrink)

Much has been made of the Kierkegaardian flavour of Wittgenstein's thought on religion, both with respect to its explicit allusions to Kierkegaard and its implicit appeals. Even when significant disparities between the two are noted, there remains an important core of de facto methodological agreement between them, addressing the limits of theory and the dispelling of illusion. The categories of ‘nonsense’ and ‘paradox’ are central to Wittgenstein's therapeutic enterprise, while the categories of ‘paradox’ and the ‘absurd’ are central to much (...) of Kierkegaard's attempt to dispel religious illusion. Writing of how the ‘urge to thrust against the limits of language’ yields ‘nonsense’, Wittgenstein explicitly appealed to Kierkegaard: ‘Kierkegaard, too, recognized this thrust and even described it in much the same way ’. 1 I want to consider whether Kierkegaard's category of paradox of the absurd is assimilable to Wittgenstein's view of nonsense and paradox. I shall argue that a consideration of Wittgenstein's view of paradox can highlight contrasting strands in Kierkegaard's writings on religious faith, strands which take paradox more or less strictly – in particular, it can clarify several different opinions concerning the status of religious claims. My exploration will bring to the fore some implications of the attempt to make room, in the religious employment of language, for a ‘higher understanding’ of truths which we are said to be able to grasp but cannot express. (shrink)

I. Recent years have witnessed a great resurgence of interest in the writings of the later Wittgenstein, especially with those passages roughly, Philosophical Investigations p)I 38 — 242 and Remarks on the Foundations of mathematics, section VI that are concerned with the topic of rules. Much of the credit for all this excitement, unparalleled since the heyday of Wittgenstein scholarship in the early IIJ6os, must go to Saul Kripke's I4rittgenstein on Rules and Private Language. It is easy to explain why. (...) To begin with, the dialectic Kripke uncovered from Wittgenstein's.. (shrink)

Review of Philip Pettit’s Rules, Reasons and Norms.