Traditionally, Aristotle is held to believe that philosophical contemplation is valuable for its own sake, but ultimately useless. In this volume, Matthew D. Walker offers a fresh, systematic account of Aristotle's views on contemplation's place in the human good. The book situates Aristotle's views against the background of his wider philosophy, and examines the complete range of available textual evidence. On this basis, Walker argues that contemplation also benefits humans as perishable living organisms by actively guiding human life activity, (...) including human self-maintenance. Aristotle's views on contemplation's place in the human good thus cohere with his broader thinking about how living organisms live well. A novel exploration of Aristotle's views on theory and practice, this volume will interest scholars and students of both ancient Greek ethics and natural philosophy. It will also appeal to those working in other disciplines including classics, ethics, and political theory. (shrink)

Control measures, such as “lockdowns”, have been widely used to suppress the COVID-19 pandemic. Under some conditions, they prevent illness and save lives. But they also exact an economic toll. How should we balance the impact of such policies on individual lives and livelihoods (and other dimensions of concern) to determine which is best? A widely used method of policy evaluation, benefit–cost analysis (BCA), answers these questions by converting all the effects of a policy into monetary equivalents and then summing (...) them up. A different method, social welfare analysis, proceeds by determining the effects of a policy on individual wellbeing and then applying an aggregation formula to them to evaluate the overall effects of a policy. In this chapter, we survey these methods and argue that social welfare analysis has important advantages. One crucial advantage is that it enables ethical considerations relating to the impact of policies on individual wellbeing and its distribution to be incorporated into policy assessments in a transparent way. We illustrate this with a simple numerical model for evaluating pandemic policies that vary in terms of the stringency of the controls that they impose on individual behaviour, showing how the evaluation depends on the ethical significance accorded to their impact on the wellbeing of different age and income groups. (shrink)

This chapter offers a complete account of Aristotle’s underexplored treatment of the virtue of wittiness (eutrapelia) in Nicomachean Ethics IV.8. It addresses the following questions: (1) What, according to Aristotle, is this virtue and what is its structure? (2) How do Aristotle’s moral psychological views inform Aristotle’s account, and how might Aristotle’s discussions of other, more familiar virtues, enable us to understand wittiness better? In particular, what passions does the virtue of wittiness concern, and how might the virtue (and its (...) attendant vices) be related to the virtue of temperance (and its attendant vices)? (3) How does wittiness, as an ethical virtue, benefit its possessor? (4) How can Aristotle resolve some key tensions that his introducing a virtue of wittiness apparently generates for his ethics? In addition to exploring these questions, this chapter challenges some commonly accepted accounts of Aristotle’s views on the nature of the laughable. (shrink)

This paper argues that the concept and role of ‘institutional racism’ in contemporary discussions of race should be reconsidered. It starts by distinguishing between ‘intrinsic institutional racism’, which holds that institutions are racist in virtue of their constitutive features, and ‘extrinsic institutional racism’, which holds that institutions are racist in virtue of their negative effects. It accepts intrinsic institutional racism, but argues that a ‘disparate impact’ conception of extrinsic conception faces a number of objections, the most serious being that it (...) has no plausible account of what it is that makes extrinsically racist institutions racist. It also argues that claims about the explanatory indispensability of institutional racism are overstated (individual racism is at least as important), critiques structural approaches to racial inequality, and suggests that there is reason to doubt whether institutional reform can provide us with all that morality may require in the racial domain. (shrink)

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (shrink)

In Plato’s Symposium, the mysterious Apollodorus recounts to an unnamed comrade, and to us, Aristodemus’ story of just what happened at Agathon’s drinking party. Since Apollodorus did not attend the party, however, it is unclear what relevance he could have to our understanding of Socrates’ speech, or to the Alcibiadean “satyr and silenic drama” (222d) that follows. The strangeness of Apollodorus is accentuated by his recession into the background after only two Stephanus pages. What difference—if any—does Apollodorus make to the (...) Symposium? Does his inclusion call the dramatic and philosophical unity of the work into question? I argue that despite initial appearances, Plato has important philosophical reasons for including Apollodorus as a character. Far from being an odd appendage to an otherwise complete narrative, the figure of Apollodorus is useful for our understanding of Socrates’s conception of eros later in the work. (shrink)

Aristotle’s views on the choiceworthiness of friends might seem both internally inconsistent and objectionably instrumentalizing. On the one hand, Aristotle maintains that perfect friends or virtue friends are choiceworthy and lovable for their own sake, and not merely for the sake of further ends. On the other hand, in Nicomachean Ethics IX.9, Aristotle appears somehow to account for the choiceworthiness of such friends by reference to their utility as sources of a virtuous agent’s robust self-awareness. I examine Aristotle’s views on (...) the utility and choiceworthiness of friends, and offer a novel reading of Nicomachean Ethics IX.9. On this reading, Aristotle accepts a version of instrumental conditionalism about final value, that is, the thesis that goods (including friends) can be choiceworthy for their own sake (i.e., possess final or end value) at least partly on account of their instrumental properties. In articulating what sort of instrumental conditionalism it is reasonable to attribute to Aristotle, I argue that Aristotle appeals to the utility of perfect friends as part of a broadly material causal account of why such friends are choiceworthy for their own sake. On this reading, perfect friends are not choiceworthy for the sake of their utility in eliciting self-awareness; rather, their choiceworthiness for their own sake is (at least partly) realized in, or constituted by, their conduciveness to the virtuous agent’s self-awareness. This reading, I argue, frees Aristotle from the charge of inconsistency: Aristotle can appeal to the conduciveness of perfect friends to the virtuous agent’s self-awareness as a way of explaining why such friends are choiceworthy for their own sake. (shrink)

I briefly defend the philosophical cogency of inclusivism about human flourishing, the view that intrinsic goods are valuable for the sake of flourishing by somehow composing flourishing. In particular, I consider the stuctured inclusivist view that intrinsic goods are components of flourishing as body parts are components of a body. As a test case, I examine the conception of human flourishing offered by the early Confucian philosopher Mengzi (Mencius). I argue that by appealing to Mengzi’s account, one can respond to (...) worries (such as those of Richard Kraut) about how such a structured inclusivism could possibly make sense. (shrink)

I examine and compare Confucian wu-wei rule and Aristotelian non-imperative rule as two models of non-impositional rule. How exactly do non-impositional rulers, according to these thinkers, generate order? And how might a Confucian/Aristotelian dialogue concerning non-impositional rule in distinctively political contexts proceed? Are Confucians and Aristotelians in deep disagreement, or do they actually have more in common than they initially seem?

Does individual desert matter for distributive justice? Is it relevant, for purposes of justice, that the pattern of distribution of justice’s “currency” (be it well-being, resources, preference-satisfaction, capabilities, or something else) is aligned in one or another way with the pattern of individual desert? -/- This paper examines the nexus between desert and distributive justice through the lens of individual claims. The concept of claims (specifically “claims across outcomes”) is a fruitful way to flesh out the content of distributive justice (...) so as to be grounded in the separateness of persons. A claim is a relation between a person and a pair of outcomes. If someone is better off in one outcome than a second, she has a claim in favor of the first. If she is equally well off in the two outcomes, she has a null claim between the two. In turn, whether one outcome is more just than a second depends upon the pattern of claims between them. -/- In prior work, I have elaborated the concept of claims across outcomes, and have used it to provide a unified defense of the Pareto and Pigou-Dalton axioms. Adding some further, plausible, axioms, we arrive at prioritarianism. -/- Here, I consider the possibility of desert-modulated claims—whereby the strength of an individual’s claim between two outcomes is determined not only by her well-being levels in the two outcomes, and her well-being difference between them, but also by her desert. This generalization of the notion of claims suggests a new axiom of justice: Priority for the More Deserving, requiring that, as between two individuals at the same well-being level, a given increment in well-being be allocated to the more deserving one. -/- If individual desert is intrapersonally fixed, this new axiom, together with a desert-modulated version of the Pigou-Dalton principle, and the Pareto axioms, yields a desert-modulated prioritarian account of distributive justice. Trouble arises, however, if an individual’s desert level can be different in different outcomes. In this case of intrapersonally variable desert, Priority for the More Deserving can conflict with the Pareto axioms (both Pareto indifference and strong Pareto). -/- This conflict, I believe, is sufficient reason to abandon the proposal to make claim strength a function of individual desert on top of well-being levels and differences. If distributive justice is truly sensitive to each individual’s separate perspective—if the justice ranking of outcomes is built up from the totality of individual rankings—we should embrace the Pareto axioms as axioms of justice and reject Priority for the More Deserving. In short: desert-modulated prioritarianism is a nonstarter. Rawls was right to sever distributive justice from desert. (shrink)

Confucius and Aristotle both put a primacy on the task of ethical self-cultivation. Unlike Aristotle, who emphasizes the instrumental value of legal punishment for cultivation’s sake, Confucius raises worries about the practice of punishment. Punishment, and the threat of punishment, Confucius suggests, actually threatens to warp human motivation and impede our ethical development. In this paper, I examine Confucius’ worries about legal punishment, and consider how a dialogue on punishment between Confucius and Aristotle might proceed. I explore how far apart (...) these thinkers actually stand, and examine the possibilities for a rapprochement between them. Doing so brings to light the self-cultivation perspective’s range of resources for thinking about punishment’s justification. (shrink)

This chapter examines key Confucian worries about the Aristotelian sophos as a model of human flourishing. How strong are these worries? Do Aristotelians have good replies to them? Could the Aristotelian sophos, and this figure's distinguishing feature, sophia, be more appealing to the Confucian than they initially appear?

The COVID-19 crisis has forced a difficult trade-off between limiting the health impacts of the virus and maintaining economic activity. Welfare economics offers tools to conceptualize this trade-off so that policy-makers and the public can see clearly what is at stake. We review four such tools: the Value of Statistical Life (VSL); the Value of Statistical Life Years (VSLYs); Quality-Adjusted Life-Years (QALYs); and social welfare analysis, and argue that the latter are superior. We also discuss how to choose policies that (...) differentially affect people’s wellbeing. We argue in favor of evaluating policies using a Social Welfare Function (SWF), which evaluates the possible distributions of wellbeing across individuals that may result from a policy. Such a function, we argue, should regard increases in the wellbeing of the less well-off as especially valuable. We then use a model to illustrate how such a framework can help evaluate two broad policy types in response to the pandemic: eradication of the virus, and more lenient control of the spread. Our model reveals how such evaluations depend on many empirical facts but also on key value judgments about the relative importance of health and on the extent of special concern for the worse off. The purpose of this brief is not to make precise recommendations, as conditions vary widely across countries and over time, but to provide a methodology. (shrink)

In fragments of the lost Protrepticus, preserved in Iamblichus, Aristotle responds to Isocrates’ worries about the excessive demandingness of theoretical philosophy. Contrary to Isocrates, Aristotle holds that such philosophy is generally feasible for human beings. In defense of this claim, Aristotle offers the progress argument, which appeals to early Greek philosophers’ rapid success in attaining exact understanding. In this paper, I explore and evaluate this argument. After making clarificatory exegetical points, I examine the argument’s premises in light of pressing worries (...) that the argument reasonably faces in its immediate intellectual context, the dispute between Isocrates and Aristotle. I also relate the argument to modern concerns about philosophical progress. I contend that the argument withstands these worries, and thereby constitutes a reasonable Aristotelian response to the Isocratean challenge. (shrink)

In fragments from the Protrepticus, Aristotle offers three linked arguments for the view that philosophy is easy. According to an obvious normative worry, however, Aristotle also seems to think that the easiness of many activities has little to do with their choiceworthiness. Hence, if the Protrepticus seeks to exhort its audience to philosophize on the basis of philosophy’s easiness, then perhaps the Protrepticus provides the wrong sort of hortatory appeal. In response, I briefly situate Aristotle’s arguments in their dialectical context. (...) On this basis, I elucidate what sort of easiness Aristotle attributes to philosophy, and what difference Aristotle thinks philosophy’s easiness makes to its choiceworthiness. (shrink)

In Nicomachean Ethics X.7–8, Aristotle defends a striking view about the good for human beings. According to Aristotle, the single happiest way of life is organized around philosophical contemplation. According to the narrowness worry, however, Aristotle's contemplative ideal is unduly Procrustean, restrictive, inflexible, and oblivious of human diversity. In this paper, I argue that Aristotle has resources for responding to the narrowness worry, and that his contemplative ideal can take due account of human diversity.

In the opening of Plato’s Lysis, Socrates criticizes the love-besotted Hippothales’ way of speaking to, and about, Hippothales’ yearned-for Lysis. Socrates subsequently proceeds to demonstrate (ἐπιδεῖξαι) how Hippothales should converse with Lysis (206c5–6). But how should we assess Socrates’ criticisms of, and demonstration to, Hippothales? Are they defensible by Socrates’ own standards, as well as independent criteria? In this note, I first articulate and assess Socrates’ criticisms of Hippothales. Second, I identify, examine, and respond to puzzles to which Socrates’ demonstration (...) to Hippothales gives rise. (shrink)

Boethius first identifies Philosophy in the 'Consolation' as his 'medica', his “healer” or “physician.” Over the course of the dialogue Philosophy exercises her medical art systematically. In the second book Philosophy first gives Boethius “gentler remedies” that are preparatory for the “sharper medicines” that she administers later. This article shows that, philosophically speaking, Philosophy’s “gentler remedies” amount to persuading Boethius toward Stoicism, which functions as an anesthetic for the more invasive philosophical surgery that she performs afterwards. Seeing this, however, requires (...) understanding how Philosophy draws out Boethius’s spiritedness in the first book and how in the second book she sublimates it into an intellectual and volitional apathy toward the things of fortune, i.e., into a Stoic attitude toward that which is other. Significantly, though, the Stoicism to which Philosophy leads Boethius is of a mitigated sort, inasmuch as friendship is not included among the things of fortune to which Boethius is anesthesized, an exception that opens up Boethius to genuine wonder and, consequently, to genuine philosophizing. (shrink)

Given the importance of theoretical wisdom in Aristotle’s account of the human good, it is striking that contemporary virtue ethicists have been virtually silent about this intellectual virtue and what contribution it makes – or could make – toward human flourishing. In this paper, I examine, and respond to, two main worries that account for theoretical wisdom’s current marginality. Along the way, I sketch a neo-Aristotelian conception of theoretical wisdom, and argue that this intellectual virtue is more central to the (...) concerns of contemporary virtue ethicists than it has perhaps so far seemed. (shrink)

In this paper, the author spells out St. Bonaventure's magisterial teaching on the possibility of an eternal world, found in his 'Commentaria in II Sententiarum', d. 1, p. 1, a. 1, q. 2. The entirety of this 'quaestio' is treated at length in order to delineate its structure and indicate its reliance on both theological and philosophical premises. Hence, the twofold dependency of St. Bonaventure's position on Scripture and on arguments against an actual infinity is made clear. The author concludes (...) with a Thomistic response to the Seraphic Doctor's position, based solely on the Angelic Doctor's late treatise 'De aeternitate mundi', in which St. Thomas endeavors to place the eternal world question on purely philosophical grounds and also doubts the plausibility of arguments against the possiblity of an actual infinity. (shrink)

I examine Zhu Xi's investigation thesis, the claim that a necessary condition (in ordinary cases) for one’s acting fully virtuously is one’s investigating the all-pervasive pattern in things (gewu格物). I identify four key objections that the thesis faces, which I label the rationalism, elitism, demandingness, and irrelevance worries. Zhu Xi, I argue, has resources for responding to each of these worries, and for defending a broadly intellectualist conception of fully virtuous agency.

Fifty years have passed since Norwood Russell Hanson's unexpected death, yet he remains an important voice in philosophy of science. This book is a revised and expanded edition of a collection of Hanson's essays originally published in 1971, edited by Stephen Toulmin and Harry Woolf. The new volume features a comprehensive introduction by Matthew Lund (Rowan University) and two new essays. The first is "Observation and Explanation: A Guide to Philosophy of Science", originally published as a posthumous book by (...) Harper and Row. This essay, written near the end of Hanson’s life, represents his mature philosophy of science. The second new addition, Hanson's essay "The Trial of Galileo", is something of a "lost" work – it was only published in a small run collection on famous trials and was left out of the published lists of Hanson’s works. Ever the outspoken firebrand, Hanson found many lessons and warnings from Galileo's trial that were relevant to Cold War America. -/- This volume not only contains Hanson's best-known work in history and philosophy of science, but also highlights the breadth of his philosophical thought. Hanson balanced extreme versatility with a unified approach to conceptual and philosophical problems. Hanson's central insight is that philosophy and science both strive to render the world intelligible -- the various concepts central to our attempts to make sense of the world are interdependent, and cannot operate, or even be fully understood, independently. The essays included in this collection present Hanson's thinking on religious belief, theory, observation, meaning, cosmology, modality, logic, and philosophy of mind. This collection also includes Hanson's lectures on the theory of flight, Hanson's greatest passion. (shrink)

Anselm’s 'Proslogion' is, as he says in its Preface, 'unum argumentum', a single line of reasoning, that builds toward the following: “that God is truly,” “that he is the highest good who needs no other,” and that he is the one “whom all things need so that they may be and may be well.” This paper attempts to shed light on how Anselm carries out the threefold task that he sets for himself and way in which his procedure brings unity (...) to the work. Although I do not provide a full account of the unity of the 'Proslogion', I lay the groundwork for such an account by reflecting on the 'Proslogion' in light of the 'Symposium', with a view to bringing a pattern of thinking present in Plato’s work to bear on the 'Proslogion'—an intertextual approach that illuminates aspects of Anselm’s thinking and reveal the rich Platonic and Neoplatonic tradition within which he was working. In the 'Symposium', one discerns a pattern of thinking that consists of three “moments”: a comic moment, a tragic moment, and a philosophic moment. To follow this pattern in one’s inquiry is, as Socrates suggests, to practice 'ta erôtica', “erotics,” the art of erotic thinking. Familiarity with this pattern of erotic thinking helps make sense of Anselm’s thinking in the 'Proslogion', and in this paper I reveal how this is so. (shrink)

Norwood Russell Hanson was one of the most important philosophers of science of the post-war period. Hanson brought Wittgensteinian ordinary language philosophy to bear on the concepts of science, and his treatments of observation, discovery, and the theory-ladenness of scientific facts remain central to the philosophy of science. Additionally, Hanson was one of philosophy’s great personalities, and his sense of humor and charm come through fully in the pages of Perception and Discovery. -/- Perception and Discovery, originally published in 1969, (...) is Hanson’s posthumous textbook in philosophy of science. The book focuses on the indispensable role philosophy plays in scientific thinking. Perception and Discovery features Hanson’s most complete and mature account of theory-laden observation, a discussion of conceptual and logical boundaries, and a detailed treatment of the epistemological features of scientific research and scientific reasoning. This book is of interest to scholars of philosophy of science, particularly those concerned with Hanson’s thought and the development of the discipline in the middle of the 20th century. However, even fifty years after Hanson’s early death, Perception and Discovery still has a great deal to offer all readers interested in science. (shrink)

In the Preface of his 'Proslogion', Anselm narrates its origin in a particular event in his life and delineates the argument of the work as a whole. In chapter 1, Anselm enacts a meditation that attempts to resolve the puzzle of his fallen-but-striving human existence. This paper argues that these opening sections of the 'Proslogion' are an indispensable preparation for understanding Anselm’s famous argument in chapters 2-4 as well as the remainder of the work, especially insofar as these sections establish (...) the crucial pattern of thinking—the “logic” of faith seeking understanding—that Anselm employs in his treatment of God. (shrink)

I explore Aristotle’s account in the Nicomachean Ethics of how agents attain self-awareness through contemplation. I argue that Aristotle sets up an account of self-awareness through contemplating friends in Books VIII-IX that completes itself in Book X’s remarks on theoretical contemplation. I go on to provide an account of how contemplating the divine, on Aristotle’s view, elicits self-awareness.

Does the soul have powers? If so, what general account can philosophy give of powers of the soul? One can broach some of Thomas Aquinas’s more obscure teachings concerning the soul and its powers, such as that the soul alone is the subject of some powers and that powers flow from the soul, by asking these broad questions. Many commentators have preferred, however, to focus on specific powers of the soul, which has resulted in detailed studies of, for example, the (...) intellect and the will. Here, however, I take up powers of the soul in general and, through a causal analysis of their being, articulate what they are. (shrink)

Philosophers have rightly condemned lookism—that is, discrimination in favor of attractive people or against unattractive people—in education, the justice system, the workplace and elsewhere. Surprisingly, however, the almost universal preference for attractive romantic and sexual partners has rarely received serious ethical scrutiny. On its face, it’s unclear whether this is a form of discrimination we should reject or tolerate. I consider arguments for both views. On the one hand, a strong case can be made that preferring attractive partners is bad. (...) The idea is that choosing partners based on looks seems essentially similar to other objectionable forms of discrimination. (In particular, the preference for attractive partners is arguably both unfair and harmful to a significant degree.) One can try to resist this conclusion in several ways. I consider three possible replies. The first has to do with the possibility of controlling our partner preferences. The second pertains to attractiveness and “good genes”. The last attempts to link certain aspects of attractiveness to a prospective partner’s personality and values. I argue that the first two replies fail conclusively, while the third only amounts to a limited defense of a particular kind of attractiveness preference. So the idea that we should often avoid preferring attractive partners is compelling. (shrink)

We present evidence from a pre-registered experiment indicating that a philosophical argument––a type of rational appeal––can persuade people to make charitable donations. The rational appeal we used follows Singer’s well-known “shallow pond” argument (1972), while incorporating an evolutionary debunking argument (Paxton, Ungar, & Greene 2012) against favoring nearby victims over distant ones. The effectiveness of this rational appeal did not differ significantly from that of a well-tested emotional appeal involving an image of a single child in need (Small, Loewenstein, and (...) Slovic 2007). This is a surprising result, given evidence that emotions are the primary drivers of moral action, a view that has been very influential in the work of development organizations. We did not find support for our pre-registered hypothesis that combining our rational and emotional appeals would have a significantly stronger effect than either appeal in isolation. However, our finding that both kinds of appeal can increase charitable donations is cause for optimism, especially concerning the potential efficacy of well-designed rational appeals. We consider the significance of these findings for moral psychology, ethics, and the work of organizations aiming to alleviate severe poverty. (shrink)

According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...) and discusses its significance. The second part of the paper considers whether viewing-as explanations occur in the empirical sciences, focusing on the case of so-called fictional models. It’s sometimes suggested that fictional models can be explanatory even though they fail to represent actual worldly dependence relations. Whether or not such models explain, I suggest, depends on whether we think scientific explanations necessarily give information relevant to intervention and control. Finally, I argue that counterfactual approaches to explanation also have trouble accommodating viewing-as cases. (shrink)

We discuss potential biorisks from large language models (LLMs). AI assistants based on LLMs such as ChatGPT have been shown to significantly reduce barriers to entry for actors wishing to synthesize dangerous, potentially novel pathogens and chemical weapons. The harms from deploying such bioagents could be further magnified by AI-assisted misinformation. We endorse several policy responses to these dangers, including prerelease evaluations of biomedical AIs by subject-matter experts, enhanced surveillance and lab screening procedures, restrictions on AI training data, and access (...) controls on biomedical AI. We conclude with a suggestion about future research directions in bioethics. (shrink)

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

Defense of an account of intrinsic properties in terms of (what is now called) grounding rather than naturalness.

Within the Thomistic moral tradition, the is-ought gap is regularly treated as identical to the fact-value gap, and these two dichotomies are also regularly treated as being identical to Aristotle and Aquinas’s distinction between the practical and speculative intellect. The question whether (and if so, how) practical (‘ought’) knowledge derives from speculative (‘is’) knowledge has driven some of the fiercest disputes among the schools of Thomistic natural lawyers. I intend to show that both of these identifications are wrong and the (...) debate has been misframed. The is-ought gap is not the fact-value gap, nor does the is-ought gap correspond to Aquinas’s distinction between the speculative and practical. This opens the possibility of a resolution--within the Thomistic school--to a debate that has, heretofore, proven particularly resistant of consensus. I close by offering a tentative account of precisely how synderesis gives us our first awareness of moral law from a prior speculative understanding. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...) of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

Mathematicians distinguish between proofs that explain their results and those that merely prove. This paper explores the nature of explanatory proofs, their role in mathematical practice, and some of the reasons why philosophers should care about them. Among the questions addressed are the following: what kinds of proofs are generally explanatory (or not)? What makes a proof explanatory? Do all mathematical explanations involve proof in an essential way? Are there really such things as explanatory proofs, and if so, how do (...) they relate to the sorts of explanation encountered in philosophy of science and metaphysics? (shrink)

The field of AI safety aims to prevent increasingly capable artificially intelligent systems from causing humans harm. Research on moral alignment is widely thought to offer a promising safety strategy: if we can equip AI systems with appropriate ethical rules, according to this line of thought, they'll be unlikely to disempower, destroy or otherwise seriously harm us. Deontological morality looks like a particularly attractive candidate for an alignment target, given its popularity, relative technical tractability and commitment to harm-avoidance principles. I (...) argue that the connection between moral alignment and safe behavior is more tenuous than many have hoped. In general, AI systems can possess either of these properties in the absence of the other, and we should favor safety when the two conflict. In particular, advanced AI systems governed by standard versions of deontology need not be especially safe. (shrink)

The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism faces (...) serious problems, whereas the opposite view is much more plausible than has previously been thought. After mounting a limited defence of explicitism, I explore a difficult problem for the view and discuss some possible responses. (shrink)

A proof P of a theorem T is transferable when a typical expert can become convinced of T solely on the basis of their prior knowledge and the information contained in P. Easwaran has argued that transferability is a constraint on acceptable proof. Meanwhile, a proof P is fixable when it’s possible for other experts to correct any mistakes P contains without having to develop significant new mathematics. Habgood-Coote and Tanswell have observed that some acceptable proofs are both fixable and (...) in need of fixing, in the sense that they contain nontrivial mistakes. The claim that acceptable proofs must be transferable seems quite plausible. The claim that some acceptable proofs need fixing seems plausible too. Unfortunately, these attractive suggestions stand in tension with one another. I argue that the transferability requirement is the problem. Acceptable proofs need only satisfy a weaker requirement I call “corrigibility”. I explain why, despite appearances, the corrigibility standard is preferable to stricter alternatives. (shrink)

Every day, television news operations have available dozens of video news releases (VNRs), public relations handout videos designed to mimic news formats. Electronic tracking indicates some of these VNRs are used. Critics typically assail VNRs on ethical grounds, that VNRs deceive audience members into thinking they are watching news gathered by reporters, rather than a promotional pitch. Using a snowball technique, the researchers presented survey respondents with authentic-looking local television news stories; 157 respondents evaluated three stories (out of nine). Some (...) stories used station-generated footage, some network, and some VNRs. Respondents were asked their best estimation of the source. The data indicated a real likelihood VNR deception is occurring. Two of the three VNRs deceived at least half the respondents. Respondents were incorrect an average of 46% of the time when attempting to identifying VNRs, compared to 29% incorrectly identifying network video and 20% incorrectly identifying locally shot video. (shrink)

Models are indispensable tools of scientific inquiry, and one of their main uses is to improve our understanding of the phenomena they represent. How do models accomplish this? And what does this tell us about the nature of understanding? While much recent work has aimed at answering these questions, philosophers' focus has been squarely on models in empirical science. I aim to show that pure mathematics also deserves a seat at the table. I begin by presenting two cases: Cramér’s random (...) model of the prime numbers and the function field model of the integers. These cases show that mathematicians, like empirical scientists, rely on unrealistic models to gain understanding of complex phenomena. They also have important implications for some much-discussed theses about scientific understanding. First, modeling practices in mathematics confirm that one can gain understanding without obtaining an explanation. Second, these cases undermine the popular thesis that unrealistic models confer understanding by imparting counterfactual knowledge. (shrink)

Monoclonal antibodies are essential biomedical research and clinical reagents that are produced by companies and research laboratories. The NIAID ImmPort (Immunology Database and Analysis Portal) resource provides a long-term, sustainable data warehouse for immunological data generated by NIAID, DAIT and DMID funded investigators for data archiving and re-use. A variety of immunological data is generated using techniques that rely upon monoclonal antibody reagents, including flow cytometry, immunofluorescence, and ELISA. In order to facilitate querying, integration, and reuse of data, standardized terminology (...) for describing monoclonal antibody reagents and their targets needs to be used for annotating data submitted to ImmPort. (shrink)

The present paper defends the thesis that Spenser's recovery of place, as enacted in 'The Faerie Queene,' Book VI, can be linked in a direct way to his use of a poetic phenomenology which informs and clarifies his work as an epic writer. Spenser's "Book of Courtesy" enacts a Neo-Platonic movement from the lower levels of temporal existence to an exalted vision of spiritual perfection. The paper explores this movement along phenomenological lines as a mysterious adventure that embraces self and (...) other, personality and community, aesthetics and ethics, in a sequence of images that opens up a new interpretation of imaginative fulfillment. (shrink)

The main purpose of this paper is to demonstrate how Gianni Vattimo offers a new interpretation of history that challenges standard accounts of the modern period and promotes a new approach to literature. The paper begins with a discussion of how the Cartesian cogito provides an inadequate basis for historical research, and then proposes that modern history can be 'read' when it is reassessed through recent hermeneutics. In 'The End of Modernity' (1985), Vattimo indicates that Heidegger's understanding of the "overcoming (...) of metaphysics" shifted in time, thus suggesting new insights into modernity. The conclusion to the paper applies these insights to show how the notion of a unified literary period is difficult to sustain in a postmodern framework. -/- . (shrink)

This is a teaching and learning guide to accompany "Explanation in Mathematics: Proofs and Practice".

In a recent letter, Dillion et. al (2023) make various suggestions regarding the idea of artificially intelligent systems, such as large language models, replacing human subjects in empirical moral psychology. We argue that human subjects are in various ways indispensable.

This article demonstrates how a new reading of Rilke’s poetry can provide a basis for comparing and contrasting the aesthetic approach to art and the language-based approach that foregrounds the role of metaphor and materiality in literary production. Lessing’s Laocoön is discussed in terms of an implied dialogue between painting and poetry, which, however, acquires a different valence when the Fifth of Rilke’s Duino Elegies suggests that poetry itself functions as a ‘metaphorical hypoicon’ allowing for shared meanings. My concluding remarks (...) emphasize the importance of the performing self to a complete understanding of Rilke’s semiotic potential. (shrink)

Recent progress in artificial intelligence (AI) has drawn attention to the technology’s transformative potential, including what some see as its prospects for causing large-scale harm. We review two influential arguments purporting to show how AI could pose catastrophic risks. The first argument — the Problem of Power-Seeking — claims that, under certain assumptions, advanced AI systems are likely to engage in dangerous power-seeking behavior in pursuit of their goals. We review reasons for thinking that AI systems might seek power, that (...) they might obtain it, that this could lead to catastrophe, and that we might build and deploy such systems anyway. The second argument claims that the development of human-level AI will unlock rapid further progress, culminating in AI systems far more capable than any human — this is the Singularity Hypothesis. Power-seeking behavior on the part of such systems might be particularly dangerous. We discuss a variety of objections to both arguments and conclude by assessing the state of the debate. (shrink)