The traditional Lewis–Stalnaker semantics treats all counterfactuals with an impossible antecedent as trivially or vacuously true. Many have regarded this as a serious defect of the semantics. For intuitively, it seems, counterfactuals with impossible antecedents—counterpossibles—can be non-trivially true and non-trivially false. Whereas the counterpossible "If Hobbes had squared the circle, then the mathematical community at the time would have been surprised" seems true, "If Hobbes had squared the circle, then sick children in the mountains of Afghanistan at the time would (...) have been thrilled" seems false. Many have proposed to extend the Lewis–Stalnaker semantics with impossible worlds to make room for a non-trivial or non-vacuous treatment of counterpossibles. Roughly, on the extended Lewis–Stalnaker semantics, we evaluate a counterfactual of the form "If A had been true, then C would have been true" by going to closest world—whether possible or impossible—in which A is true and check whether C is also true in that world. If the answer is "yes", the counterfactual is true; otherwise it is false. Since there are impossible worlds in which the mathematically impossible happens, there are impossible worlds in which Hobbes manages to square the circle. And intuitively, in the closest such impossible worlds, sick children in the mountains of Afghanistan are not thrilled—they remain sick and unmoved by the mathematical developments in Europe. If so, the counterpossible "If Hobbes had squared the circle, then sick children in the mountains of Afghanistan at the time would have been thrilled" comes out false, as desired. In this paper, I will critically investigate the extended Lewis–Stalnaker semantics for counterpossibles. I will argue that the standard version of the extended semantics, in which impossible worlds correspond to maximal, logically inconsistent entities, fails to give the correct semantic verdicts for many counterpossibles. In light of the negative arguments, I will then outline a new version of the extended Lewis–Stalnaker semantics that can avoid these problems. (shrink)

Possible-worlds accounts of mental or linguistic content are often criticized for being too coarse-grained. To make room for more fine-grained distinctions among contents, several authors have recently proposed extending the space of possible worlds by "impossible worlds". We argue that this strategy comes with serious costs: we would effectively have to abandon most of the features that make the possible-worlds framework attractive. More generally, we argue that while there are intuitive and theoretical considerations against overly coarse-grained notions of content, the (...) same kinds of considerations also prohibit an overly fine-grained individuation of content. An adequate notion of content, it seems, should have intermediate granularity. However, it is hard to construe a notion of content that meets these demands. Any notion of content, we suggest, must be either implausibly coarse-grained or implausibly fine-grained (or both). (shrink)

The essays in this volume investigate the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. Is there a way in which we are limited in what we think, know, and say? And if so, does this mean that we are constrained—that there is something beyond the ken of human intelligibility of which we fall short? Or is there another way to think about these limits of intelligibility—namely, as conditions of (...) our meaning and knowing anything, beyond which there is no specifiable thing we cannot do? -/- These issues feature prominently in the writings of Kant and Wittgenstein who each engaged with them in unique and striking ways. Their thoughts on the matter remain provocative and stimulating, and accordingly the contributions to this volume address the issues surrounding the limits of intelligibility both exegetically and systematically: they examine how they figure in Kant’s and Wittgenstein’s most significant works and put them in touch with contemporary debates that are shaped by their legacy. These debates concern, inter alia, logically and morally alien thought, the semantics and philosophy of negation, disjunctivism in philosophy of perception and ethics, paraconsistent approaches to contradiction, and the relation between art, literature, and philosophy. The book is divided into four parts: Part I gives a first assessment of the issues, Part II examines limits as they feature in Kant, Part III as they feature in Wittgenstein, and Part IV suggests some ways in which the questions at issue might be reconsidered, drawing upon ideas in phenomenology, dialetheism, metamathematics, and the works of other influential authors. -/- Limits of Intelligibility provides insight into a theme that is central to the thought of two of the most important figures in modern philosophy, as well as to recent metaphysics, philosophy of language, philosophy of logic, epistemology, and ethics. (shrink)

In this paper, I investigate whether we can use a world-involving framework to model the epistemic states of non-ideal agents. The standard possible-world framework falters in this respect because of a commitment to logical omniscience. A familiar attempt to overcome this problem centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in modal space, it is easy to model extremely non-ideal agents that (...) are incapable of performing even the most elementary logical deductions. A much harder, and considerably less investigated challenge is to ensure that the resulting modal space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out subtly impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out blatantly impossible worlds that verify obvious logical falsehoods. To model moderately ideal agents, I argue, the job is to construct a modal space that contains only possible and non-trivially impossible worlds where it is not the case that “anything goes”. But I prove that it is impossible to develop an impossible-world framework that can do this job and that satisfies certain standard conditions. Effectively, I show that attempts to model moderately ideal agents in a world-involving framework collapse to modeling either logical omniscient agents, or extremely non-ideal agents. (shrink)

The Groundwork of the Metaphysics of Morals is Kant's central contribution to moral philosophy, and has inspired controversy ever since it was first published in 1785. Kant champions the insights of 'common human understanding' against what he sees as the dangerous perversions of ethical theory. Morality is revealed to be a matter of human autonomy: Kant locates the source of the 'categorical imperative' within each and every human will. However, he also portrays everyday morality in a way that many readers (...) find difficult to accept. The Groundwork is a short book, but its argument is dense, intricate and at times treacherous. This commentary explains Kant's arguments paragraph by paragraph, and also contains an introduction, a synopsis of the argument, six short interpretative essays on key topics of the Groundwork, and a glossary of key terms. It will be an indispensable tool for anyone wishing to study the Groundwork in detail. (shrink)

The criticism of Immanuel Kant’s logic commenced with the advent of the so-called ‘new logic’ in the 20th century. One particular passage from the second preface to the Critique of Pure Reason has been a source of contention, where Kant asserted that logic has not taken a step forward or backward since Aristotle (B VIII). In Kant scholarship, one current strategy to avoid this criticism is to relocate Kant within the domain of philosophy of logic or by segregating his general (...) logic from modern formal systems. In this paper, it will be contended that this strategy is too weak, given that the B-preface has currently been analyzed in a markedly divergent manner by the so-called ‘methodological interpretation’. In his methodology and history of science of the B-preface, Kant means something different by progress and regression than what his 20th-century critics assume he meant. By examining what Kant and his critics considered to be progress and regress in science and logic, good reasons can be put forward for the argument that Kant was correct in his assertion that logic has not gone a step forward or backward. (shrink)

This paper explores the possibility of moral conflict in Kant’s ethics. An analysis of the only explicit discussion of the topic in his published writings confirms that there is no room for genuine moral dilemmas. Conflict is limited to nonconclusive ‘grounds’ of obligation. They arise only in the sphere of ethical duty and, though defeasible, ought to be construed as the result of valid arguments an agent correctly judges to apply in the situation at hand. While it is difficult to (...) determine in theory what makes some of them stronger than others, these ‘grounds’ can account for practical residue in conflict cases and for a plausible form of agent regret. The principle that ‘ought implies can’ survives intact. (shrink)

It has recently been argued that a sensitivity theory of knowledge cannot account for intuitively appealing instances of higher-order knowledge. In this paper, we argue that it can once careful attention is paid to the methods or processes by which we typically form higher-order beliefs. We base our argument on what we take to be a well-motivated and commonsensical view on how higher-order knowledge is typically acquired, and we show how higher-order knowledge is possible in a sensitivity theory once this (...) view is adopted. (shrink)

This paper analyses a hitherto unknown technique of using logic diagrams to create argument maps in eristic dialectics. The method was invented in the 1810s and -20s by Arthur Schopenhauer, who is considered the originator of modern eristic. This technique of Schopenhauer could be interesting for several branches of research in the field of argumentation: Firstly, for the field of argument mapping, since here a hitherto unknown diagrammatic technique is shown in order to visualise possible situations of arguments in a (...) dialogical controversy. Secondly, the art of controversy or eristic, since the diagrams do not analyse the truth of judgements and the validity of inferences, but the persuasiveness of arguments in a dialogue. (shrink)

How can work be a genuine good in life? I argue that this requires overcoming a problem akin to that studied by Marx scholars as the problem of work, freedom and necessity: how can work be something we genuinely want to do, given that its content is not up to us, but is determined by necessity? I argue that the answer involves valuing contributing to the good of others, typically as valuing active pro-sociality – that is, valuing actively doing something (...) good for others. This makes work better in one way, and may even make work something we are genuinely glad to have in our lives. Contemporary philosophical thinking about good work tends to focus on how work can be good for the person doing it, by providing, for example, self-realization or social relationships, while underappreciating the special importance of valuing social contribution. People will typically only really want work if they want a part of their lives to be about the good of others. This also means that work may be a part of the best life, something we should take into account when discussing work-related policies and the desirability of a ‘post-work’ future. (shrink)

Is Kant’s ethical theory too demanding? Do its commands ask too much of us, either by calling for self-sacrifice on particular occasions, or by pervading our lives to the extent that there is no room for permissible action? In this article, I argue that Kant’s ethics is very demanding, but not excessively so. The notion of ‘latitude’ does not help. But we need to bear in mind that moral laws are self-imposed and cannot be externally enforced; that ‘right action’ is (...) not a category of Kantian ethics – there is a more and a less, and lack of perfection does not entail vice; and that only practice makes perfect, i.e. how much virtue can realistically be expected can vary from agent to agent. The principle that ‘ought’ is limited by ‘can’ is firmly entrenched in Kant’s ethical thought. (shrink)

When a proposition might be the case, for all an agent knows, we can say that the proposition is epistemically possible for the agent. In the standard possible worlds framework, we analyze modal claims using quantification over possible worlds. It is natural to expect that something similar can be done for modal claims involving epistemic possibility. The main aim of this paper is to investigate the prospects of constructing a space of worlds—epistemic space—that allows us to model what is epistemically (...) possible for ordinary, non-ideally rational agents like you and me. I will argue that the prospects look dim for successfully constructing such a space. In turn, this will make a case for the claim that we cannot use the standard possible worlds framework to model what is epistemically possible for ordinary agents. (shrink)

According to the standard version of the counterfactual comparative account of harm, an event is overall harmful for an individual if and only if she would have been on balance better off if it had not occurred. This view faces the “preemption problem.” In the recent literature, there are various ingenious attempts to deal with this problem, some of which involve slight additions to, or modifications of, the counterfactual comparative account. We argue, however, that none of these attempts work, and (...) that the preemption problem continues to haunt the counterfactual comparative account. (shrink)

There seems to be a strong sentiment in pre-philosophical moral thought that actions can be morally valuable without at the same time being morally required. Yet Kant, who takes great pride in developing an ethical system firmly grounded in common moral thought, makes no provision for any such extraordinary acts of virtue. Rather, he supports a classification of actions as either obligatory, permissible or prohibited, which in the eyes of his critics makes it totally inadequate to the facts of morality. (...) The related idea of uncommonly grand and noble deeds is frequently dismissed by Kant as high-.own emotional nonsense. Such considerations give rise to the fear that actions intuitively classed as morally commendable but not required must be re-classified as commands of duty by Kant, making his ethical theory as unbearably demanding as direct utilitarianism. The paper divides into three sections: (1) an examination of the nature of moral goodness from a meta-ethical angle that introduces some passages from Kant's writings presenting strong theoretical evidence against the case for supererogatory action; (2) a critique of Thomas Hill's suggestion that within the category of wide duty we can accommodate some of the main features of actions classified as supererogatory in other ethical systems; concluding that, contra Hill, there are no actions of wide duty that can be so characterized in any significant sense; and (3) a final discussion of the problem of how demanding the requirements of Kantian ethical theory really are. (shrink)

Das Buch behandelt Kants Versuch, innerhalb seiner Ethik Sittengesetz, Naturgesetz und Freiheit im moralischen Handeln in Einklang zu bringen. Im ersten Teil stehen die Begriffe der Freiheit und des Willens bei Kant im Mittelpunkt. Der zweite Teil untersucht detailliert die Kernpunkte der kantischen Ethik: den (letztlich gescheiterten) Versuch, Freiheit und Naturkausalit t auszus hnen, und die Theorie des Handelns nach Moralgesetzen, deren Wahl den freien Willen als eigentliches Moment ausmacht. Am Ende steht die Einsicht in ein hoch entwickeltes, differenziertes gedankliches (...) System, das unserer Alltagsauffassung von moralischer Verantwortung erstaunlich nahe kommt. (shrink)

Our beliefs and opinions are shaped by others, making our social networks crucial in determining what we believe to be true. Sometimes this is for the good because our peers help us form a more accurate opinion. Sometimes it is for the worse because we are led astray. In this context, we address via agent-based computer simulations the extent to which patterns of connectivity within our social networks affect the likelihood that initially undecided agents in a network converge on a (...) true opinion following group deliberation. The model incorporates a fine-grained and realistic representation of belief and trust, and it allows agents to consult outside information sources. We study a wide range of network structures and provide a detailed statistical analysis concerning the exact contribution of various network metrics to collective competence. Our results highlight and explain the collective risks involved in an overly networked or partitioned society. Specifically, we find that 96% of the variation in collective competence across networks can be attributed to differences in amount of connectivity and clustering, which are negatively correlated with collective competence. A study of bandwagon or “group think” effects indicates that both connectivity and clustering increase the probability that the network, wholly or partly, locks into a false opinion. Our work is interestingly related to Gerhard Schurz’s work on meta-induction and can be seen as broadly addressing a practical limitation of his approach. (shrink)

The present article is an attempt to clarify the Kantian conception of duties to the self and to defend them against common objections. Kant’s thesis that all duty rests on duties to the self is shown to follow from the autonomy of the human will; and the allegation that they are impossible because the agent could always release himself from such a duty turns out to be question-begging. There is no attempt to prove that there are such duties, but they (...) are revealed to be an indispensable part of morality. Traditional attributes of moral commands, such as ‘categoricity’ or ‘overridingness’ make no sense in a one-sidedly other-regarding or social conception of morality. (shrink)

Pluralistic ignorance is a socio-psychological phenomenon that involves a systematic discrepancy between people’s private beliefs and public behavior in certain social contexts. Recently, pluralistic ignorance has gained increased attention in formal and social epistemology. But to get clear on what precisely a formal and social epistemological account of pluralistic ignorance should look like, we need answers to at least the following two questions: What exactly is the phenomenon of pluralistic ignorance? And can the phenomenon arise among perfectly rational agents? In (...) this paper, we propose answers to both these questions. First, we characterize different versions of pluralistic ignorance and define the version that we claim most adequately captures the examples cited as paradigmatic cases of pluralistic ignorance in the literature. In doing so, we will stress certain key epistemic and social interactive aspects of the phenomenon. Second, given our characterization of pluralistic ignorance, we argue that the phenomenon can indeed arise in groups of perfectly rational agents. This, in turn, ensures that the tools of formal epistemology can be fully utilized to reason about pluralistic ignorance. (shrink)

Logicians have often suggested that the use of Euler-type diagrams has influenced the idea of the quantification of the predicate. This is mainly due to the fact that Euler-type diagrams display more information than is required in traditional syllogistics. The paper supports this argument and extends it by a further step: Euler-type diagrams not only illustrate the quantification of the predicate, but also solve problems of traditional proof theory, which prevented an overall quantification of the predicate. Thus, Euler-type diagrams can (...) be called the natural basis of syllogistic reasoning and can even go beyond. In the paper, these arguments are presented in connection with the book Nucleus Logicae Weisaniae by Johann Christian Lange from 1712. (shrink)

Kant’s concept of conscience has been largely neglected by scholars and contemporary moral philosophers alike, as has his concept of “indirect” duty. Admittedly, neither of them is foundational within his ethical theory, but a correct account of both in their own right and in combination can shed some new light on Kant’s moral philosophy as a whole. In this paper, I first examine a key passage in which Kant systematically discusses the role of conscience, then give a systematic account of (...) “indirect” duties and the function of hypothetical imperatives in the course of their generation. I then turn to the possibility of moral error and the part “indirect” duty can play in its prevention. In conclusion, I try to show how clarifying the concept of “indirect” duty can help us to shed light on the nature of Kantian ethics as a whole. (shrink)

According to luck egalitarianism, it is not unfair when people are disadvantaged by choices they are responsible for. This implies that those who are disadvantaged by choices that prevent disadvantage to others are not eligible for compensation. This is counterintuitive. We argue that the problem such cases pose for luck egalitarianism reveals an important distinction between responsibility for creating disadvantage and responsibility for distributing disadvantage which has hitherto been overlooked. We develop and defend a version of luck egalitarianism which only (...) holds people responsible for creating disadvantage. This revision enables luck egalitarianism to offer compensation to those who are disadvantaged by preventing disadvantage to others, like dependent caretakers, without compromising the responsibility–sensitivity at the heart of luck egalitarianism. (shrink)

Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...) about the systematic application and the history of euler-type diagrams was lost. I will argue that the first expansive period lasted from Vives (1531) to Alsted (1614). The second period began around 1660 with Weigel and ended in 1712 with lange. The third period of expansion started around 1760 with the works of Ploucquet, euler and lambert. Finally, it is shown that euler-type diagrams became popular in the debate about intuition which took place in the 1790s between leibnizians and Kantians. The article is thus limited to the historical periodization between 1530 and 1800. (shrink)

What happens when human beings fail to do as reason bids? This book is an attempt to address this age-old question within Kant’s mature practical philosophy, i.e. the practical philosophy that emerged with the watershed discovery of autonomy in the mid-1780s. As always, Kant is good for a surprise. There is, it is argued, not one answer but two: he advocates Socratic intellectualism in the realm of prudence whilst defending an anti-intellectualist or volitional account of immoral action. This ‘hybrid’ theory (...) of practical failure is more than a philosophical curiosity. There are ramifications for Kant’s theory of practical reason as a whole. In particular, the hybrid account emphasizes the divide between pure and empirical practical rationality to the extent that the latter, while containing practically relevant propositions, no longer counts as a branch of practical reason at all. Hypothetical and categorical imperatives exemplify two entirely distinct kinds of normativity. In fact, the dichotomy between pure and empirical determining grounds of the will goes hand in hand with many other dualisms and dichotomies that, whether we like them or not, continue to define Kant’s mature ethical thought. (shrink)

I raise two objections against Christian List and Peter Menzies' influential account of high-level causation. Improving upon some of Stephen Yablo's earlier work, I develop an alternative theory which evades both objections. The discussion calls into question List and Menzies' main contention, namely, that the exclusion principle, applied to difference-making, is false.

This article defends three claims. First, that collection and division in the Phaedrus are described as procedures that underlie human speaking and thinking in general, as well as philosophical inquiry, and are not identified with either. Second, that what sets the dialectical use of these procedures apart from their ordinary use are philosophical suppositions independent of the procedures of collection and division themselves; for that reason, collection and division cannot be identified with dialectic as such. Third, that the second part (...) of the Phaedrus is concerned with the broader question how noble or beautiful speaking, in general, may be said to depend on dialectic as much as it is concerned with the question how rhetoric, as a kind of expertise, is related to dialectic. (shrink)

Pauline Kleingeld’s “Contradiction and Kant’s Formula of Universal Law”, published in this journal in 2017, presents a powerful challenge to what has become the standard reconstruction of the categorical imperative. In this response to Kleingeld, I argue that she is right to emphasise the ‘simultaneity requirement’ - that we must be able to will a proposed maxim and ‘simulataneously’, ‘also’ or ‘at the same time’ the maxim in its universalised form - but I deny that this removes the categorical imperative (...) test from the world of universalisation because the agent must be understood as part of that world. There are two distinct types of conflict: a contradiction that results from non-universalisability and Kleingeld’s ‘volitional’ conflict, located within the will of the immoral agent. The standard ‘practical’ reconstruction of the categorical imperative remains largely intact. (shrink)

This paper discusses the constitution relation within the framework of the mechanistic approach to neurobiological explanation. It develops a regularity theory of constitution as an alternative to the manipulationist theory of constitution advocated by some of the proponents of the mechanistic approach. After the main problems of the manipulationist account of constitution have been reviewed, the regularity account is developed based on the notion of a minimal type relevance theory. A minimal type relevance theory expresses a minimally necessary condition of (...) a given type that consists of a disjunction of minimally sufficient conditions of that type. Afterwards, the attained definition is successfully applied in an analysis of the logical structure of the explanation of spatial learning and memory in rats as a paradigm neurobiological explanation. The overall result is a more robust and more precise version of the mechanistic approach to neurobiological explanations. (shrink)

In a possible world framework, an agent can be said to know a proposition just in case the proposition is true at all worlds that are epistemically possible for the agent. Roughly, a world is epistemically possible for an agent just in case the world is not ruled out by anything the agent knows. If a proposition is true at some epistemically possible world for an agent, the proposition is epistemically possible for the agent. If a proposition is true at (...) all epistemically possible worlds for an agent, the proposition is epistemically necessary for the agent, and as such, the agent knows the proposition. -/- This framework presupposes an underlying space of worlds that we can call epistemic space. Traditionally, worlds in epistemic space are identified with possible worlds, where possible worlds are the kinds of entities that at least verify all logical truths. If so, given that epistemic space consists solely of possible worlds, it follows that any world that may remain epistemically possible for an agent verifies all logical truths. As a result, all logical truths are epistemically necessary for any agent, and the corresponding framework only allows us to model logically omniscient agents. This is a well-known consequence of the standard possible world framework, and it is generally taken to imply that the framework cannot be used to model non-ideal agents that fall short of logical omniscience. -/- A familiar attempt to model non-ideal agents within a broadly world involving framework centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in epistemic space, it is easy to avoid logical omniscience. If any logical falsehood is true at some impossible world, then any logical falsehood may remain epistemically possible for some agent. As a result, we can use an impossible world involving framework to model extremely non-ideal agents that do not know any logical truths. -/- A much harder, and considerably less investigated challenge is to ensure that the resulting epistemic space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out impossible worlds that verify obvious logical falsehoods. To model such agents, we need a construction of a non-trivial epistemic space that partly consists of impossible worlds where not "anything goes". This involves imposing substantive constraints on impossible worlds to eliminate from epistemic space, say, trivially impossible worlds that verify obvious logical falsehoods. -/- The central aim of this dissertation is to investigate the nature of such non-trivially impossible worlds and the corresponding epistemic spaces. To flag my conclusions, I argue that successful constructions of epistemic spaces that can safely navigate between the Charybdis of logical omniscience and the Scylla of of “anything goes” are hard, if not impossible to find. (shrink)

Suppose your evil sibling travels back in time, intending to lethally poison your grandfather during his infancy. Determined to save grandpa, you grab two antidotes and follow your sibling through the wormhole. Under normal circumstances, each antidote has a 50% chance of curing a poisoning. Upon finding young grandpa, poisoned, you administer the first antidote. Alas, it has no effect. The second antidote is your last hope. You administer it---and success: the paleness vanishes from grandpa's face, he is healed. As (...) you administered the first antidote, what was the chance that it would be effective? -/- This essay offers a systematic account of this case, and others like it. The central question is this: Given a certain time travel structure, what are the chances? In particular, I'll develop a theory about the connection between these chances and the chances in ordinary, time-travel-free contexts. Central to the account is a Markov condition involving the boundaries of spacetime regions. (shrink)

Ein Beispiel für die Rezeption und Fortführung der schopenhauerschen Logik findet man in den Mathematiklehrbüchern Friedrich Adolph Wilhelm Diesterwegs (1790–1866), In diesem Aufsatz werden die historische und systematische Dimension dieser Anwendung von Logikdiagramme auf die Mathematik skizziert. In Kapitel 2 wird zunächst die frühe Rezeption der schopenhauerschen Logik und Philosophie der Mathematik vorgestellt. Dabei werden einige oftmals tradierte Vorurteile, die das Werk Schopenhauers betreffen, in Frage gestellt oder sogar ausgeräumt. In Kapitel 3 wird dann die Philosophie der Mathematik und der (...) Logik Schopenhauers vorgestellt. Es wird gezeigt, dass Schopenhauers Logikdiagramme auf Ideen der Mathematiker Leonhard Euler (1707–1783), Bernhard Friedrich Thibaut (1775–1832) und Franz Ferdinand Schweins (1780–1856) zurückgehen und dass Schopenhauer diese Logikdiagramme auch bereits zur Analyse mathematischer Begriffe verwendet. Kapitel 4 beschäftigt sich mit der Schopenhauer-Rezeption Diesterwegs. Es wird die Frage behandelt, inwieweit Diesterweg in der Mathematik von Schopenhauer beeinflusst war und welche Rolle dieser Einfluss auf sein Verständnis von Logik und Mathematik hatte. In Kapitel 5 wird schließlich gezeigt, dass Diesterweg die schopenhauersche Begriffsanalyse der Mathematik mit Hilfe von Logikdiagrammen aufgreift und weiterführt. Da Diesterweg einer der einflussreichsten Pädagogen und Mathematikdidaktiker des 20. Jahrhunderts war, ist anzunehmen, dass sich Spuren dieser Methode noch heute finden lassen. Inwiefern dies wahrscheinlich ist, wird in der Zusammenfassung (Kapitel 6) thematisiert. (shrink)

In this paper we explore the potential bearing of the extended mind thesis—the thesis that the mind extends into the world—on epistemology. We do three things. First, we argue that the combination of the extended mind thesis and reliabilism about knowledge entails that ordinary subjects can easily come to enjoy various forms of restricted omniscience. Second, we discuss the conceptual foundations of the extended mind and knowledge debate. We suggest that the theses of extended mind and extended knowledge lead to (...) a bifurcation with respect to the concepts of belief and knowledge. We suggest that this conceptual bifurcation supports a form of pluralism about these concepts. Third, we discuss whether something similar can be said at the metaphysical level. (shrink)

Section I of Kant's Groundwork of the Metaphysics of Morals is meant to lead us from our everyday conception of morality to the supreme principle of all moral action, officially christened the ‘categorical imperative’ some twenty Academy pages further into the treatise. It is quite striking that in this first section Kant dispenses with the notorious technical language that pervades not just other parts of the Groundwork but also most of the remaining philosophical writings of the critical period. The mere (...) fact that Groundwork I is comparatively accessible does not, of course, make it straightforward or uncontroversial. Kant's readers are faced with, amongst other things, four unconvincing paragraphs on the natural purpose of practical reason (G IV 394–6), a crucial change of topic from good volition to acting from duty (G IV 397), an unstated ‘first proposition’ about moral value that has baffled generations of interpreters (presumably G IV 397–9), and a contentious shift from an allegedly unproblematic principle of practical universalizability to a substantive moral command (G IV 402). (shrink)

This article examines the evolution of the concept of existence in modern visual representation and reasoning, highlighting important milestones. In the late eighteenth century, during the so-called golden age of visual reasoning, nominalism reigned supreme and there was limited scope for existential import or individuals in logic diagrams. By the late nineteenth century, a form of realism had taken hold, whose existential commitments continue to dominate many areas in logic and visual reasoning to this day. Physical, metaphysical, epistemological, and linguistic (...) positions underlie both nominalist and realist views. Since the paradigmatic works on visual reasoning in the 1990s, formal diagram systems have been developed that revive either the nominalist or realist perspectives. Unlike in the nineteenth century, these are not motivated by philosophical views. Nevertheless, they may still have an impact on many areas of philosophy and science outside logic. (shrink)

From the mid-1600s to the beginning of the eighteenth century, there were two main circles of German scholars which focused extensively on diagrammatic reasoning and representation in logic. The first circle was formed around Erhard Weigel in Jena and consists primarily of Johann Christoph Sturm and Gottfried Wilhelm Leibniz; the second circle developed around Christian Weise in Zittau, with the support of his students, particularly Samuel Grosser and Johann Christian Lange. Each of these scholars developed an original form of using (...) geometric diagrams in logic. In this paper, I will trace the historical notes of John Venn and other modern logicians back to the original works published in the Weigel and Weise circles and describe the development of using geometric figures for logical reasoning and representation in that period of time. (shrink)

Even the most sympathetic readers of Kant's moral philosophy usually disagree with him about some aspect of his theory, or some particular moral judgement. His unqualified condemnation of lying in the essay ‘On a supposed right to lie from philanthropy’ is a classical case in question, as is his strong endorsement of retributive justice and the death penalty. A third prominent source of discontent are Kant's repeated verdicts on the moral status of non-human animals, or rather the lack thereof. For, (...) despite the fact that his practical recommendations in this field are sensible and even progressive, he repeatedly insists that there are no direct duties to animals, that the well-being of animals is morally indifferent, in particular that we ought to treat animals decently solely for the sake of humanity. As a result, the foundations of his advice seem morally inadequate, even offensive. (shrink)

Philosophers of sport seem to have lived happily with the idea that the knowledge in sporting skills is knowing how. In traditional epistemology, knowing how does not qualify to be knowledge proper since knowledge is a question of whether a belief is true and justified. Unless knowing how is a special case of knowing that, it is not knowledge. The argument for such an identification arises saying that a former expert in tennis has tennis know-how, although she cannot perform skillfully. (...) If we do not need ability to perform a skill and still have know-how, it seems reasonable to say that know-how is a type of knowing that. With such a move, skills are perhaps not identical to know-how. Are we then left with the idea that there isn’t any knowledge in sporting skills? If we stick with the idea that a fine forehand is indeed an able forehand, the question of what knowledge skills contain remains. This article aims to discuss and shed light on issues related between knowledge, knowing h... (shrink)

Since Barry Stroud's classic paper in 1968, the general discussion on transcendental arguments tends to focus on examples from theoretical philosophy. It also tends to be pessimistic, or at least extremely reluctant, about the potential of this kind of arguments. Nevertheless, transcendental reasoning continues to play a prominent role in some recent approaches to moral philosophy. Moreover, some authors argue that transcendental arguments may be more promising in moral philosophy than they are in theoretical contexts. Against this background, the current (...) volume focuses on transcendental arguments in practical philosophy. Experts from different countries and branches of philosophy share their views about whether there are actually differences between "theoretical" and "practical" uses of transcendental arguments. They examine and compare different versions of transcendental arguments in moral philosophy, explain their structure, and assess their respective problems and promises. This book offers all those interested in ethics, meta-ethics, or epistemology a more comprehensive understanding of transcendental arguments. It also provides them with new insights into uses of transcendental reasoning in moral philosophy. (shrink)

In this paper, we analyze and discuss Schopenhauer’s n-term diagrams for eristic dialectics from a graph-theoretical perspective. Unlike logic, eristic dialectics does not examine the validity of an isolated argument, but the progression and persuasiveness of an argument in the context of a dialogue or even controversy. To represent these dialogue situations, Schopenhauer created large maps with concepts and Euler-type diagrams, which from today’s perspective are a specific form of graphs. We first present the original method with Euler-type diagrams, then (...) give the most important graph-theoretical definitions, then discuss Schopenhauer’s diagrams graph-theoretically and finally give an example of how the graphs or diagrams can be used to analyze dialogues. (shrink)