The general introduction, which is replicated across all four volumes, aims to orientate readers unfamiliar with this area of research. It provides an overview of the different approaches within distributed cognition and discussion of the value of a distributed cognitive approach to the humanities.

We provide counterexamples to some purported characterizations of dilation due to Pedersen and Wheeler :1305–1342, 2014, ISIPTA ’15: Proceedings of the 9th international symposium on imprecise probability: theories and applications, 2015).

This paper explores how participation and sustainability are being addressed by architects within the Building Schools for the Future (BSF) programme in the UK. The intentions promoted by the programme are certainly ambitious, but the ways to fulfil these aims are ill-explored. Simply focu- sing on providing innovative learning technologies, or indeed teaching young people about phy- sical sustainability features in buildings, will not necessarily teach them the skills they will need to respond to the environmental and social challenges of (...) a rapidly changing world. However, anticipating those skills is one of the most problematic issues of the programme. The involve- ment of young people in the design of schools is used to suggest empowerment, place-making and to promote social cohesion but this is set against government design literature which advo- cates for exemplars, standard layouts and best practice, all leading to forms of standardisation. The potentials for tokenistic student involvement and conflict with policy aims are evident. This paper explores two issues: how to foster in young people an ethic towards future generations, and the role of co-design practices in this process. Michael Oakeshott calls teaching the conver- sation of mankind. In this paper, I look at the philosophy of Hannah Arendt, Emmanuel Levinas, Maurice Merleau-Ponty and Luce Irigaray to argue that investigating the ethical dilemmas of the programme through critical dialogue with students offers an approach to meeting government objectives, building sustainable schools, and fostering sustainable citizenship. (shrink)

The paper shows how the Bohmian approach to quantum physics can be applied to develop a clear and coherent ontology of non-perturbative quantum gravity. We suggest retaining discrete objects as the primitive ontology also when it comes to a quantum theory of space-time and therefore focus on loop quantum gravity. We conceive atoms of space, represented in terms of nodes linked by edges in a graph, as the primitive ontology of the theory and show how a non-local law in which (...) a universal and stationary wave-function figures can provide an order of configurations of such atoms of space such that the classical space-time of general relativity is approximated. Although there is as yet no fully worked out physical theory of quantum gravity, we regard the Bohmian approach as setting up a standard that proposals for a serious ontology in this field should meet and as opening up a route for fruitful physical and mathematical investigations. (shrink)

The theory of lower previsions is designed around the principles of coherence and sure-loss avoidance, thus steers clear of all the updating anomalies highlighted in Gong and Meng's "Judicious Judgment Meets Unsettling Updating: Dilation, Sure Loss, and Simpson's Paradox" except dilation. In fact, the traditional problem with the theory of imprecise probability is that coherent inference is too complicated rather than unsettling. Progress has been made simplifying coherent inference by demoting sets of probabilities from fundamental building blocks to secondary representations (...) that are derived or discarded as needed. (shrink)

According to the received account of guilt in the philosophical literature, one cannot feel guilt unless one takes oneself to have done something morally wrong. But ordinary people feel guilt in many cases in which they do not take themselves to have done anything morally wrong. In this paper, I focus on one kind of guilt without perceived wrongdoing, guilt about being merely causally responsible for a bad state-of-affairs. I go on to present a novel account of guilt that explains (...) guilt about mere causal responsibility, according to which guilt represents part of the self as bound up with what is bad. (shrink)

Coherentism maintains that coherent beliefs are more likely to be true than incoherent beliefs, and that coherent evidence provides more confirmation of a hypothesis when the evidence is made coherent by the explanation provided by that hypothesis. Although probabilistic models of credence ought to be well-suited to justifying such claims, negative results from Bayesian epistemology have suggested otherwise. In this essay we argue that the connection between coherence and confirmation should be understood as a relation mediated by the causal relationships (...) among the evidence and a hypothesis, and we offer a framework for doing so by fitting together probabilistic models of coherence, confirmation, and causation. We show that the causal structure among the evidence and hypothesis is sometimes enough to determine whether the coherence of the evidence boosts confirmation of the hypothesis, makes no difference to it, or even reduces it. We also show that, ceteris paribus, it is not the coherence of the evidence that boosts confirmation, but rather the ratio of the coherence of the evidence to the coherence of the evidence conditional on a hypothesis. (shrink)

The fact that Gilbert Ryle and J.L. Austin seem to disagree about the ordinary use of words such as ‘voluntary’, ‘involuntary’, ‘voluntarily’, and ‘involuntarily’ has been taken to cast doubt on the methods of ordinary language philosophy. As Benson Mates puts the worry, ‘if agreement about usage cannot be reached within so restricted a sample as the class of Oxford Professors of Philosophy, what are the prospects when the sample is enlarged?’ (Mates, Inquiry 1:161–171, 1958, p. 165). In this chapter, (...) we evaluate Mates’s criticism alongside Ryle’s and Austin’s specific claims about the ordinary use of these words, assessing these claims against actual examples of ordinary use drawn from the British National Corpus (BNC). Our evaluation consists in applying a combination of methods: first aggregating judgments about a large set of samples drawn from the corpus, and then using a clustering algorithm to uncover connections between different types of use. In applying these methods, we show where and to what extent Ryle’s and Austin’s accounts of the use of the target terms are accurate as well as where they miss important aspects of ordinary use, and we demonstrate the usefulness of this new combination of methods. At the heart of our approach is a commitment to the idea that systematically looking at actual uses of expressions is an essential component of any approach to ordinary language philosophy. (shrink)

Our aim in this paper is to present the distinct ways in which Wolff, Baumgarten, and Kant understand the relationship between necessitation, constraint, and reluctant action in an effort to illustrate the subtle ways in which their conceptions of obligation differ from each another. Whereas Wolff conceives of natural or moral obligation as incompatible with constraint, Baumgarten holds that constraint and reluctant action are, in some instances, compatible with natural obligation. Kant departs from Baumgarten by conceiving of obligation as necessarily (...) involving constraint: as Kant’s reply to Schiller’s famous objection reveals, obligation must take on the character of constraint to reluctant action on account of the fact that human beings possess inclinations that always threaten to impel them in directions that oppose morality. (shrink)

What is the relation between small-scale collaborative plans and the execution of those plans within interactive contexts? I argue here that joint attention has a key role in explaining how shared plans and shared intentions are executed in interactive contexts. Within singular action, attention plays the functional role of enabling intentional action to be guided by a prior intention. Within interactive joint action, it is joint attention, I argue, that plays a similar functional role of enabling the agents to act (...) in a collaborative way such that their actions are rationally guided by a prior shared intention. This understanding of joint attention – as having a key functional role of enabling the rational guidance of joint intentional action by a prior shared intention – allows for an alternative understanding of the kind of minimal cooperation that infants can engage in. On this understanding, infants’ capacity to engage in joint actions is already an incipient capacity to engage in rational and intentional joint actions, albeit a capacity that is necessarily scaffolded by an adult rational co-partner. (shrink)

Opponents of medically assisted dying have long appealed to ‘slippery slope’ arguments. One such slippery slope concerns palliative care: that the introduction of medically assisted dying will lead to a diminution in the quality or availability or palliative care for patients near the end of their lives. Empirical evidence from jurisdictions where assisted dying has been practiced for decades, such as Oregon and the Netherlands, indicate that such worries are largely unfounded. The failure of the palliation slope argument is nevertheless (...) instructive with respect to how slippery slope arguments can be appraised without having to await post-facto evidence regarding the effects of a proposed change in public policy. Close attention in particular to the norms operative in a given institution and how changes to policy will interact with those norms enable slippery slopes to be credibly appraised. (shrink)

What is the relation between joint attention and common knowledge? On the one hand, the relation seems tight: the easiest and most reliable way of knowing something in common with another is for you and that other to be attentively aware of what you are together experiencing. On the other hand, they couldn’t seem further apart: joint attention is a mere perceptual phenomena that infants are capable of engaging in from nine months of age, whereas common knowledge is a cognitive (...) phenomenon involving (so it seems) complex, overlapping metarepresentational states that require the kind of sophisticated mindreading skills that developmental psychology has shown to be beyond the capabilities of young children. In 'The Shared World: Perceptual Common Knowledge, Demonstrative Communication, and Shared Social Space', Axel Seemann attempts, inter alia, to makensense of this conundrum. (shrink)

Ethical debates about assisted dying typically assume that only medical professionals should be able to provide patients with assisted dying. This assumption partially rests on the unstated principle that assisted dying providers may not be motivated by pecuniary considerations. Here I outline and defend a mixed provider model of assisted dying provision that contests this principle. Under this model, medically competent non-physician professionals could receive fees for providing assisted dying under the same terms and conditions as physicians can in those (...) juris- dictions where medically assisted dying is lawful. The mixed provider model blunts objections to assisted dying rooted in supposed clashes with medical values. In addition to generating a market likely to expand access to assisted dying, the mixed provider model would not create markets that are unjust because they are “noxious” in Satz’ sense or because they raise “semiotic” concerns about the value of human life. (shrink)

Discussions of the nature or possibility of moral expertise have largely proceeded in atheoretical terms, with little attention paid to whether moral expertise depends on theoretical knowledge of morality. Here I argue that moral expertise is more theory-dependent than is commonly recognized: Moral expertise consists, at least in part, in knowledge of the correct or best moral theory, and second, that knowledge of moral theory is essential to moral experts dispensing expert counsel to non-experts. Moral experts would not be moral (...) experts absent knowledge of moral theory, nor could they play the testimonial role we would expect them to play in moral inquiry and deliberation absent such knowledge. (shrink)

I show that the common reading of Thomson, that she argues by analogy for the conclusion that abortion is permissible, is mistaken. The correct reading of Thomson is that she argues by counterexample, showing that arguments against abortion are unsound. The remainder of the paper highlights the lessons learned from Thomson once we read her aright.

This paper argues that Kant’s concept of ‘respect’ for the moral law has roots in Adam Smith’s concept of ‘regard’ for the general rules of conduct, which was translated as Achtung in the first German translation of the Theory of Moral Sentiments. After illustrating that Kant’s technical understanding of respect appeared relatively late in his intellectual development, I argue that Kant’s concept of respect and Smith’s concept of regard share a basic similarity: they are both a single complex phenomenon with (...) two core aspects, namely an attitude and a feeling. I then suggest that the concept of regard offered Kant a way to deal a problem concerning moral motivation that he was trying to solve at the time he likely first read Smith. I conclude by drawing some implications from the account I have offered for our understanding of Kant’s relation to Smith more generally. (shrink)

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...) independent of F (for all F in a partition of the underlying state space) is sufficient to avoid dilation, but (2) stochastic independence is not the only independence concept at play within imprecise probability models. In this paper we give a simple characterization of dilation formulated in terms of deviation from stochastic independence, propose a measure of dilation, and distinguish between proper and improper dilation. Through this we revisit the most sensational examples of dilation, which play up independence between dilator and dilatee, and find the sensationalism undermined by either fallacious reasoning with imprecise probabilities or improperly constructed imprecise probability models. (shrink)

Using William Shakespeare’s Hamlet and the play-within-the play, The Murder of Gonzago, as a case study, this essay argues that theatrical utterances constitute a special case of language usage not previously elucidated: the utterance of a statement with propositional content in theatre functions as an event. In short, the propositional content of a particular p (e.g. p1, p2, p3 …), whether or not it is true, is only understood—and understood to be true—if p1 is uttered in a particular time, place, (...) and situation (i.e. during a theatrical event); otherwise, the propositional content in those theatrical utterances can either be false or contingently true. (shrink)

Recent debate about the error theory has taken a ‘formal turn’. On the one hand, there are those who argue that the error theory should be rejected because of its difficulties in providing a convincing formal account of the logic and semantics of moral claims. On the other hand, there are those who claim that such formal objections fail, maintaining that arguments against the error theory must be of a substantive rather than a formal kind. In this paper, we argue (...) that formal objections to the error theory cannot be eschewed but must be met head-on. (shrink)

In this paper I outline the PAIR account of joint attention as a perceptual-practical, affectively charged intentional relation. I argue that to explain joint attention we need to leave the received understanding of propositions and propositional attitudes and the picture of content connected to it behind and embrace the notions of subject mode and position mode content. I also explore the relation between joint attention and communication.

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

Epistemic decision theory (EDT) employs the mathematical tools of rational choice theory to justify epistemic norms, including probabilism, conditionalization, and the Principal Principle, among others. Practitioners of EDT endorse two theses: (1) epistemic value is distinct from subjective preference, and (2) belief and epistemic value can be numerically quantified. We argue the first thesis, which we call epistemic puritanism, undermines the second.

What exactly do we mean when we refer to disability as a social construction? How viable are the justifications for this? These questions are explored in this paper. To this end, various theories that are influential in German-language disability studies are examined and criticised. These include Oliver's social model, furthermore the "Thomas theorem", Berger and Luckmann's sociology of knowledge, Foucault's discourse theory and Waldschmidt's theory. Subsequently, social constructivist approaches of Watzlawick and Gergen and Gergen are discussed. It is shown that (...) a relativistic understanding of social construction can be used to deny facticity and thus undermines the foundations of scientific knowledge. This danger must be taken seriously when defending the scientificity of disability studies. (shrink)

In this paper, we explore how a conversational theory of moral responsibility can provide illuminating resources for building a theory about the nature and norms of moral forgiveness.

This excerpted chapter of the book THE IMAGE OF LANGUAGE discusses the philosophical implications of geometric visualizations of the alphabetic patterning encoded in the orthography of words (a project showing examples of the visualizations is included). Reference pages are also included.

An excerpt of "The SignalGlyph Project and Prime Numbers" (a chapter of the book THE IMAGE OF LANGUAGE) that attempts to illustrate how dimensional limitations of mathematical language have obscured recognition of the system of patterning in the distribution of prime numbers.

Freedom can be seen as individual’s capacity to choose between alternatives. As such, it stands in a dialectical relationship to its environment that both imposes constraints on freedom and allows carrying it out. Yet if we see liberty as freedom’s social accommodation, how would freedom shape liberty, and how would liberty accommodate freedom? As a capacity for choice, freedom is formal. Negative liberty, or freedom from, protects this capacity yet does not give it content. To make freedom meaningful, its societal (...) accommodation has ensure that the choice can be carried out – in terms of accessing alternatives, understand them, and making informed choices. The paper, using the tools provided by the Hegelian philosophy and by information theory, explores the concept of liberty as an enabler of freedom and the role of knowledge in its enablement. This exploration leads us to specific positive rights that are necessary to make freedom meaningful. (shrink)

This chapter offers an account of Crusius’ conception of freedom. In the first part of the chapter I sketch Crusius’ understanding of ‘Thelematology’ or ‘science of the will’ and his conception of the will itself. In the second part of the paper I provide an account of Crusius’ conception of freedom of the will and I focus on two topics: his understanding of freedom as self-determination and his conception of free choice. Contrary to how some of the secondary literature portrays (...) his view, I argue that freedom of the will, for Crusius, is not best described as the freedom to choose otherwise or liberty of indifference. On the contrary, Crusius argues that free choice is rarely indifferent to its choices and is most often strongly inclined towards certain ends that free choice must overcome and choose against. (shrink)

Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural network structure, implementation attributes, and learning performance. In this work, we combine concepts from high-dimensional probability and differential geometry to study how curvature properties in lower-dimensional loss representations depend on those in the original loss space. We show that saddle points in the original space are (...) rarely correctly identified as such in expected lower-dimensional representations if random projections are used. The principal curvature in the expected lower-dimensional representation is proportional to the mean curvature in the original loss space. Hence, the mean curvature in the original loss space determines if saddle points appear, on average, as either minima, maxima, or almost flat regions. We use the connection between expected curvature in random projections and mean curvature in the original space (i.e., the normalized Hessian trace) to compute Hutchinson-type trace estimates without calculating Hessian-vector products as in the original Hutchinson method. Because random projections are not suitable to correctly identify saddle information, we propose to study projections along dominant Hessian directions that are associated with the largest and smallest principal curvatures. We connect our findings to the ongoing debate on loss landscape flatness and generalizability. Finally, for different common image classifiers and a function approximator, we show and compare random and Hessian projections of loss landscapes with up to about 7×10^6 parameters. (shrink)

This report reviews what quantum physics and information theory have to tell us about the age-old question, How come existence? No escape is evident from four conclusions: (1) The world cannot be a giant machine, ruled by any preestablished continuum physical law. (2) There is no such thing at the microscopic level as space or time or spacetime continuum. (3) The familiar probability function or functional, and wave equation or functional wave equation, of standard quantum theory provide mere continuum idealizations (...) and by reason of this circumstance conceal the information-theoretic source from which they derive. (4) No element in the description of physics shows itself as closer to primordial than the elementary quantum phenomenon, that is, the elementary device-intermediated act of posing a yes-no physical question and eliciting an answer or, in brief, the elementary act of observer-participancy. Otherwise stated, every physical quantity, every it, derives its ultimate significance from bits, binary yes-or-no indications, a conclusion which we epitomize in the phrase, it from bit. (shrink)

Whataboutism is een strategie waarbij op een beschuldiging wordt gereageerd met een wedervraag die eveneens een beschuldiging impliceert, waardoor de oorspronkelijke vraag eerder wordt ontweken dan beantwoord. Het is een effectieve methode om de aandacht te verplaatsen naar een andere situatie door een vergelijkbaar, dan wel onvergelijkbaar, contrast te bieden, waardoor de beschuldigde het eigen gedrag probeert te rechtvaardigen en verantwoordelijkheid probeert te ontlopen. Maar niet alle vormen van whataboutism impliceren echter een drogredenering, noch worden ze altijd verkeerd toegepast. Het (...) contrast dat voortkomt uit de vraag ‘what about’ kan dan een cruciale bijdrage leveren aan een situatie die een verdere kritische analyse vereist, en daarmee de geloofwaardigheid van de argumentatie versterken. (shrink)

It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches to lawhood, as they (...) are not in any obvious sense about regularities in behaviour. A Humean approach to physical laws with exceptions is possible, however, if we adopt a view of laws that takes them to be the algorithms in the algorithmic compressions of empirical data. When this is supplemented with a distinction between lossy and lossless compression, we can explain exceptions in terms of compression artefacts present in the application of the lossy laws. (shrink)

The purpose of this paper is to show that if one adopts conditional probabilities as the primitive concept of probability, one must deal with the fact that even in very ordinary circumstances at least some probability values may be imprecise, and that some probability questions may fail to have numerically precise answers.

A very influential idea in the epistemology of modality is that we acquire knowledge of metaphysical modality through knowledge of essence. As a consequence, the epistemology of essence becomes crucial in the attempt to answer the question of how we come to know modal propositions. In this paper I investigate Lowe’s and Hale’s approach to the epistemology of essence and argue that both of them remain in a crucial, structural sense incomplete. Systematizing this criticism against Lowe and Hale, I then (...) break down desiderata of what I call a structurally complete picture of the epistemology of essence. Finally, I discuss Husserl’s epistemology of essence and defend it against a notorious objection. However, Husserl’s approach also seems to remain incomplete, due to its appeal to imagination, which operates on the basis of background assumptions that are themselves in need of justification. I indicate, however, that a Husserlian theory of intuitive awareness of universals might supply us with (direct) justification of these background assumptions and, hence, that we might be able to paint a structurally complete picture of the epistemology of essence with Husserlian means. (shrink)

This thesis develops an account of ethics called the Linguistic Perspective, which is realist in a practical, non-theoretical sense, and is rooted Wittgenstein’s 'On Certainty'. On this account, normativity is intrinsic to human action and language; the norms of ethics are the logical limits of the most basic, unassailable concepts that practical reasoning requires for intelligibility. Part I lays the groundwork for this account by developing a Tractarian Reading of 'On Certainty'. Here, I contend that 'On Certainty' is primarily concerned (...) with the logical requirements and limits of language, and like the 'Tractatus' it develops these concerns in a realist direction. 'On Certainty', I argue, does so by advancing three key claims about logic: Everything descriptive of a language-game is part of logic; the boundary between logical and empirical propositions is not sharp; logic is founded on action. I investigate these claims, with particular emphasis on how natural human reactions provide logical conditions for the possibility of language. Hinge propositions, I argue, are rooted in these reactions; they point us to the limits of intelligibility of our concepts, though these limits are vague and inarticulable. In Part II, I discuss the practical syllogism and its validity. I argue that practical reasoning is distinct from theoretical reasoning and embodies a different standard of logical validity for inference. This standard is not strict and narrow, but creative and wide open; furthermore, it is an intrinsically ethical standard. Then, I advance my Linguistic Perspective on ethics, according to which human reactions provide the conditions for ethical normativity, just as they do for language. I argue that we can access ethical norms by reflecting on those linguistic concepts that are rooted in the most basic patterns of action, and by identifying the norms of behaviour that ensure the development of those concepts without contradiction. (shrink)

Could the concept of 'evil' apply to AI? Drawing on PF Strawson's framework of reactive attitudes, this paper argues that we can understand evil as involving agents who are neither fully inside nor fully outside our moral practices. It involves agents whose abilities and capacities are enough to make them morally responsible for their actions, but whose behaviour is far enough outside of the norms of our moral practices to be labelled 'evil'. Understood as such, the paper argues that, when (...) it comes to AI and evil, we have more to fear from semi-autonomous, hybrid agents: agents who have enough of a capacity to operate within a minimal form of human practices of participation and responsibility, yet remain partially outside of it, capable of acting from outside the parameters of ordinary interactions in certain circumstances, perhaps sometimes for reasons unknown. (shrink)

The field of of imprecise probability has matured, in no small part because of Teddy Seidenfeld’s decades of original scholarship and essential contributions to building and sustaining the ISIPTA community. Although the basic idea behind imprecise probability is (at least) 150 years old, a mature mathematical theory has only taken full form in the last 30 years. Interest in imprecise probability during this period has also grown, but many of the ideas that the mature theory serves can be difficult to (...) apprehend to those new to the subject. Although these fundamental ideas are common knowledge in the ISIPTA community, they are expressed, when they are expressed at all, obliquely, over the course of years with students and colleagues. -/- A single essay cannot convey the store of common knowledge from any research community, let alone the ISIPTA community. But, this essay nevertheless is an attempt to guide those familiar with the basic Bayesian framework to appreciate some of the elegant and powerful ideas that underpin the contemporary theory of lower previsions, which is the theory that most people associate with the term ‘imprecise probabilities’. (shrink)

In this paper I argue that Kant’s psychology of moral motivation has less in common with Hutcheson’s view than interpreters have traditionally thought. I first offer an interpretation of the role that feeling, desire, and cognition play in Kant’s account of moral action. I then outline the essential features of Hutcheson’s understanding of desire before arguing that although Kant and Hutcheson share the trivial similarity that even moral action springs from a desire, Kant conceives of the desire at the root (...) of moral action as qualitatively different from all other desires in a number of important ways. (shrink)

Traditionally, species have been treated as classes. In fact they may be considered individuals. The logical term “individual” has been confused with a biological synonym for “organism.” If species are individuals, then: 1) their names are proper, 2) there cannot be instances of them, 3) they do not have defining properties, 4) their constituent organisms are parts, not members. “ Species " may be defined as the most extensive units in the natural economy such that reproductive competition occurs among their (...) parts. Species are to evolutionary theory as firms are to economic theory: this analogy resolves many issues, such as the problems of “reality” and the ontological status of nomenclatorial types. (shrink)

Dion is a full-bodied man. Theon is that part of him which consists of all of him except his left foot. What becomes of Dion and Theon when Dion’s left foot is amputated? Employing the doctrine of sortal essentialism, I defend a surprising answer last defended by Chrysippus: that Dion survives while the seemingly unscathed Theon perishes. For replies to critics, see my publications of 1997 and (especially) 2004.

In this chapter I offer an account of the nature, scope, and significance of Wolff’s claim that human beings have a duty to cognize moral good and evil. I illustrate that Wolff conceives of this duty as requiring that human beings both acquire distinct cognition of good and evil as well as avoid ignorance and error. Although Wolff intends for the duty to be quite demanding, he restricts its scope by, among other things, claiming it primarily concerns those who have (...) the skills, circumstances, and opportunity to acquire such cognition. Wolff calls these individuals the ‘inventors’ of the truths of morality and he considers himself to be such an inventor. I argue that part of the significance of this duty lies in the fact that Wolff conceives of himself as living up to it by writing the German Ethics, thereby sharing the knowledge he has ‘invented’ with others. (shrink)

We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are (1) the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and (2) the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. Armed (...) with this account, we are ineluctably driven to introduce a highly constructive notion of (outer) measure based exclusively on the total magnitude of potentially infinite collections of line segments. The Paradox of Measure then consists in the proof that every finite or potentially infinite collection of points lacks magnitude with respect to this notion of measure. We observe that the Paradox of Measure, thus understood, troubled analysts into the 1880’s, despite their knowledge that the linear continuum is uncountable. The Paradox was ultimately resolved by Borel in his thesis of 1893, as a corollary to his celebrated result that every countable open cover of a closed line segment has a finite sub-cover, a result he later called the “First Fundamental Theorem of Measure Theory.” This achievement of Borel has not been sufficiently appreciated. We conclude with a metamathematical analysis of the resolution of the paradox made possible by recent results in reverse mathematics. (shrink)

Many philosophers assume that, when making moral decisions under uncertainty, we should choose the option that has the greatest expected moral value, regardless of how risky it is. But their arguments for maximizing expected moral value do not support it over rival, risk-averse approaches. In this paper, I present a novel argument for maximizing expected value: when we think about larger series of decisions that each decision is a part of, all but the most risk-averse agents would prefer that we (...) consistently choose the option with the highest expected value. To the extent that what we choose on a given occasion should be guided by the entire series of choices we prefer, then on each occasion, we should choose the option with the highest expected moral value. (shrink)

Scholars, journalists, and activists working on climate change often distinguish between “individual” and “structural” approaches to decarbonization. The former concern choices individuals can make to reduce their “personal carbon footprint” (e.g., eating less meat). The latter concern changes to institutions, laws, and other social structures. These two approaches are often framed as oppositional, representing a mutually exclusive forced choice between alternative routes to decarbonization. After presenting representative samples of this oppositional framing of individual and structural approaches in environmental communication, we (...) identify four problems with oppositional thinking and propose five ways to conceive of individual and structural reform as symbiotic and interdependent. (shrink)

In this paper I propose three steps to overcome the force-content dichotomy and dispel the Frege point. First, we should ascribe content to force indicators. Through basic assertoric and directive force indicators such as intonation, word order and mood, a subject presents its position of theoretical or practical knowledge of a state of affairs as a fact, as something that is the case, or as a goal, as something to do. Force indicators do not operate on truth- or satisfaction evaluable (...) entities as on the traditional view, but complete and unify them. Second, higher-level acts such as interrogative, logical and fictional acts create higher-level unities that may suspend commitment to the assertions and directions they operate on. But they do not cancel their force, but transfer the meaning of force indicators into the new unities they create. For example, in the context of asking a theoretical or practical question, the assertoric or directive force indicator now presents the kind of knowledge the subject is seeking. Third, the Frege point conflates different varieties of force. We neither need Frege’s assertion sign, nor Hare’s neustic, nor Hanks’s cancellation sign, but only ordinary force indicators and interrogative, logical and fictional markers. Propositions are not forceless contents to which a subject commits by forceful acts, but forceful acts put forward by higher-level acts which may suspend commitment to them. (shrink)