This paper concerns automorphisms of the computably enumerable sets. We prove two results relating semilow sets and prompt degrees via automorphisms, one of which is complementary to a recent result of Downey and Harrington. We also show that the property of effective simplicity is not invariant under automorphism, and that in fact every promptly simple set is automorphic to an effectively simple set. A major technique used in these proofs is a modification of the Harrington-Soare version of the method of (...) Harrington-Soare and Cholak for constructing Δ 0 3 automorphisms; this modification takes advantage of a recent result of Soare on the extension of "restricted" automorphisms to full automorphisms. (shrink)

We investigate homomorphisms of degree structures with various relations, functions and constants. Our main emphasis is on pseudolattices, i.e., partially ordered sets with a join operation and relations simulating the meet operation. We show that there are no finite quotients of the pseudolattice of degrees or of the pseudolattice of degrees 0′, but that many finite distributive lattices are pseudolattice quotients of the pseudolattice of computably enumerable degrees.

Both scientists and philosophers of science have recently emphasized the importance of promoting transparency in science. For scientists, transparency is a way to promote reproducibility, progress, and trust in research. For philosophers of science, transparency can help address the value-ladenness of scientific research in a responsible way. Nevertheless, the concept of transparency is a complex one. Scientists can be transparent about many different things, for many different reasons, on behalf of many different stakeholders. This paper proposes a taxonomy that clarifies (...) the major dimensions along which approaches to transparency can vary. By doing so, it provides several insights that philosophers and other science studies scholars can pursue. In particular, it helps address common objections to pursuing transparency in science, it clarifies major forms of transparency, and it suggests avenues for further research on this topic. (shrink)

Despite broad agreement that forgiveness involves overcoming resentment, the small philosophical literature on this topic has made little progress in determining which of the many ways of overcoming resentment is forgiveness. In a recent paper, however, Pamela Hieronymi proposed a way forward by requiring that accounts of forgiveness be “articulate” and “uncompromising.” I argue for these requirements, but also claim that Hieronymi’s proposed articulate and uncompromising account must be rejected because it cannot accommodate the fact that only some agents have (...) the standing to forgive. I end by sketching an alternative account which, I claim, explains the phenomenon of standing. (shrink)

This book brings together eleven case studies of inductive risk-the chance that scientific inference is incorrect-that range over a wide variety of scientific contexts and fields. The chapters are designed to illustrate the pervasiveness of inductive risk, assist scientists and policymakers in responding to it, and productively move theoretical discussions of the topic forward.

Ecological psychologists and enactivists agree that the best explanation for a large share of cognition is nonrepresentational in kind. In both ecological psychology and enactivist philosophy, then, the task is to offer an explanans that does not rely on representations. Different theorists within these camps have contrasting notions of what the best kind of nonrepresentational explanation will look like, yet they agree on one central point: instead of focusing solely on factors interior to an agent, an important aspect of cognition (...) is found in the link or coupling between an agent and the external world. This link is fluid, dynamic, and active in a variety of ways, and we do not need to add any internal extra something in the perception-action-cognition process. At the same time, even devout defenders of ecological psychology and enactivism recognize that plenty happens inside an agent during cognition. In particular, no one denies that the brain plays an important role. What, then, is the role of the brain if it’s not in the game of representing the environment? One possible option is to describe the brain as a resonant organ instead of a representational organ. In this paper we consider the history of resonance in more detail. Particular focus will be placed on two different sets of approaches that have developed the concept of resonance: a representational reading of resonance and a nonrepresentational, dynamic account of resonance. We then apply these accounts to a case study on music performance, specifically in the context of standard tonal jazz. From this application, we propose that a nonrepresentational resonance account consistent with both enactivism and ecological psychology is a viable way of explaining jazz performance. We conclude with future considerations on research regarding the brain as a resonant organ. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 42.2 (2004) 225-226 [Access article in PDF] John H. Zammito. Kant, Herder, and the Birth of Anthropology. Chicago: University of Chicago Press, 2002. Pp. x + 576. Cloth, $68.00. Paper, $29.00. Zammito's book continues two recent trends in the study of eighteenth- and nineteenth-century German philosophy, viz., the reassessment both of Kant's pre-Critical thought and of his contemporaries. Zammito situates Kant's later pre-Critical (...) work within the "popular philosophy" tradition, especially those elements of the tradition that could be broadly construed as anthropological in focus. If Zammito is correct, during the late 1760s Kant was a popular philosopher of a sort whose influence was greater than generally recognized. In this light, he reexamines Kant's influence on Johann Herder as well as Herder's reception of Kant. The terminus of the study is the emergence of anthropology as a discipline and the roles that Kant and Herder played therein.Zammito's interpretation of this period (roughly, 1762 to 1773) marshals a vast array of material (notes and a bibliography number nearly 200 pages), which sheds light on both the intellectual climate of the time and Kant's and Herder's place within the same. Beginning with a useful survey of the Aufklärung during the 1760s, Zammito focuses on the growth of "popular philosophy" (which opposed the "school philosophy" and focused on the ethical and socio-historical dimension of the Aufklärung). Popular philosophy emerged as a self-styled defense of enlightenment values at a time when both the university and scholar faced crises of self-image and self-justification. Zammito juxtaposes these crises with the breakdown of Kant's attempt to construct a system of metaphysics. His point is that an "altogether different Kant," to use Vorländer's expression, emerged during the mid and late 1760s, a Kant qua popular philosopher.Zammito's Kant of this period was an essayist more interested in the "vocation of man" than in traditional metaphysics. Focusing on the period from the Observations on the Feelings of the Beautiful and the Sublime to the curious Dreams of a Spirit-Seer, he outlines Kant's encounter with popular philosophy. The discussion of Rousseau's influence on Kant is both useful and fascinating, and supports Zammito's interpretation nicely. Furthermore, by placing Kant in the context of his contemporaries Zammito sheds light on the scope and originality of Kant's work of this period. But Zammito's point is also that Kant faced personal and professional crises that led to this experiment with popular philosophy. He discusses at some length Kant's relation with women and an alleged "repression" that was thereby produced. These are some of the weaker (because more speculative) sections of the book. [End Page 225] Zammito claims that we must read Kant's texts of this period with the eyes of a psychologist as well as those of a philosopher, but such excursions detract from the clarity of this effort at intellectual history.Kant's "critical turn" is given an interesting interpretation. His foray into popular philosophy seemed to be leading him toward anthropology as a foundational discipline. But, as Zammito claims, though this might have been the logical extension of Kant's focus during this period, Kant's more traditional interest in providing a foundation for metaphysics and meeting the skeptic's challenge won out. Zammito is deft in addressing the clash of these interests, and explicates how Kant's anthropology lectures from 1772-73 provide a touchstone for understanding why metaphysics trumped anthropology for Kant. As Zammito concludes, "Kant created the 'critical philosophy' at the cost of forsaking the 'science' of anthropology" (348).Herder's own development is discussed in the context of this Kantian backdrop. "It [is] possible," Zammito claims, "to see Herder as fulfilling the promise that Kant abandoned" (7). Indeed, Zammito sees in Herder's hermeneutic historicism a "road not taken" by Kant, a road that privileged anthropology over philosophy. The discussion of Herder is illuminating, and does a fine job of detailing his... (shrink)

Traditional critical thinking courses introduce students to tools for analyzing and evaluating arguments and reasoning. There are, however, good reasons to think that those courses fail to motivate students to make full use of those tools. It is this motivational problem that is the focus of the present paper. In what follows, I present several proposals for overcoming student resistance to the discipline of critical thinking. I offer a three-step strategy for challenging students’ presumption of competency regarding critical thinking, thereby (...) motivating them to embrace the tools we offer. I also sketch how this strategy can be applied in sections of a critical thinking course. (shrink)

In this article, I develop an Augustinian response to some contemporary philosophical proposals concerning the problem of weakness of will. I argue that many philosophers tend to cast the problem in terms of irrationality, focusing on psychological components such as judgment, desire, and resolution. In contrast, I contend that weakness of will has more to do with the absence of a coherent conception of practical identity and with a misleading conception of practical identity that overestimates the agent’s normative and motivational (...) capacities. I claim that the irrationality of the weak-willed agent is at best a symptom, rather than the ultimate source, of weakness of will which cannot be properly understood without first addressing the deficiency of our internal resources relative to our willing and doing. (shrink)

Educational Theory, Volume 71, Issue 3, Page 371-388, June 2021.

Deliberative democracy is one of the best designs that could facilitate good public policy decision making and bring about epistemic good based on Mercier and Sperber's (M&S's) theory of reasoning. However, three conditions are necessary: (1) an ethic of individual epistemic humility, (2) a pragmatic deflationist definition of truth, and (3) a microscopic framing power analysis during group reasoning.

Based on their framework, Müller & Schumann (M&S) propose a staged drug policy that matches well the neoliberal governance scheme. To mend the sad loss of the sociocultural dimension in their model, I propose three such considerations: first, sociocultural interactions with the brain; second, sociocultural context and justice of drug use; and third, sociocultural preparedness for implementing their drug policy.

Fan (2010) did a good job in applying his interpretation of Confucian ethics of giftedness to genetic enhancement. To him, it is God-like Heaven that gives lives to us and our ancestors as gifts th...

Recent research into the evolution of higher cognition has piqued an interest in the effect of natural selection on the ability of creatures to respond to their environment. It is believed that environmental variation is required for plasticity to evolve in cases where the ability to be plastic is costly. We investigate one form of environmental variation: frequency dependent selection. Using tools in game theory, we investigate a few models of plasticity and outline the cases where selection would be expected (...) to maintain it. Ultimately we conclude that frequency dependent selection is likely insuffcient to maintain plasticity given reasonable assumptions about its costs. This result is very similar to one aspect of the well-discussed Baldwin effect, where plasticity is first selected for and then later selected against. We show how in these models one would expect plasticity to grow in the population and then be later reduced. Ultimately we conclude that if one is to account for the evolution of behavioral plasticity in this way, one must appeal to a very particular sort of external environmental variation. (shrink)

Emotion Review, Volume 14, Issue 4, Page 254-256, October 2022. Müller's account of the way episodic emotions function depends on a contrast between these and what he calls cares, concerns and attachments and the claim that the latter are in several respects prior to the former. The account seems to attribute no normative features to the latter. But this is implausible. If a preference for liberty over social justice is a concern, it is justified if liberty really is more important (...) than social justice. (shrink)

Sports such as surfing, mountaineering, and backcountry skiing are often grouped together. But what exactly it is that they share, and the implications of their common characteristics, have not been explained clearly. I refer to such sports as ‘nature sports’ and argue that they share a fundamental structure in which human beings and features of the natural world are brought together. The principal claim I make is that nature sports are those sports in which a particular natural feature, or combination (...) of natural features, plays at least one of the primary roles that human competitors or partners play in traditional or standard sports. This article is a detailed explanation of that claim. (shrink)

Over the past several years, I have been arguing that nature sports such as surfing, backcountry skiing, and mountaineering are best described as sports in which athletes interact dynamically with natural features rather than compete with other humans. This article is part of a larger attempt to trace the implications of that view. Specifically, I consider the relationship between nature sports and competition. To this purpose, I address three separate, but related topics: First, I reply to Leslie Howe’s article, ‘On (...) Competing Against Oneself, Or, I Need to Get a Different Voice in My Head’, in which she argues that there is a version of self-competition that is central to nature sports. Second, I argue that adapting nature sports to fit into formal competitive frameworks is problematic because, when we do so, the focus shifts from athletes interacting with natural features to athletes using natural features to outdo other athletes. And third, I argue that nature sports may seem competitive because the in.. (shrink)

Is it possible that justice requires giving people with disabilities like autism sufficient opportunities to pursue a flourishing life by promoting accessibility at theme parks and other places of public accommodation? I explore this question by analyzing the ethical issues at play in a series of disability lawsuits against Disney Parks and Resorts. Drawing on the work of Martha Nussbaum and Chiara Cordelli, I argue that Disney has an obligation of justice to provide these plaintiffs with their requested disability modification. (...) I further articulate how public accommodations other than Disney should accommodate disabled customers, sometimes with government assistance. (shrink)

Physicians anecdotally report inquiring about incarcerated patients’ crimes and their length of sentence, which has potential implications for the quality of care these patients receive. However, there is minimal research on how a physician’s awareness of their patient’s crimes/length of sentence impacts physician behaviours and attitudes. We performed regression modelling on a 27-question survey to analyse physician attitudes and behaviours towards incarcerated patients. We found that, although most physicians did not usually try to learn of their patients’ crimes, they often (...) became aware of them. We observed associations between awareness of a patient’s crime and poor physician disposition towards their patients and between physicians’ poor dispositions and lower reported quality of care. These associations suggest that awareness of a patient’s crime may reduce quality of care by negatively impacting physicians’ dispositions towards their patients. Future quantitative and qualitative studies, for example, involving physician interviews and direct patient outcome assessments, are needed to confirm these findings and further uncover and address hurdles incarcerated patients face in seeking medical care. (shrink)

Phenomenology was in large part the discovery of Edmund Husserl, whose Logical Investigations of 1900/01 are normally regarded as the work that launched the phenomenological movement. Yet Husserl's phenomenology, in particular in the form in which it is set out in this his most important contribution to philosophy, is itself part of an Austrian philosophical tradi tion inspired by Brentano and continued, in very different ways, by Meinong, Stumpf, Twardowski, Ehrenfels, Husserl - and Marty. Like Brentano and all his heirs (...) Marty's philosophical interests were in the philosophy of mind, where this is taken to include or at least ground the philosophy of language, and analytic metaphysics. It is Marty's discussions of topics in these two areas that provide the contributions to this volume with their subject-matter. The papers by Roderick Chisholm, S. -Y. Kuroda, Barry Smith, Peter Simons, Rosaria Egidi, Karl Schuhmann, Elmar Holenstein, Edgar Morscher, Wolf gang Wenning and myself were presented at the 1984 conference on Anton Marty in Fribourg, Switzerland. Our host in Fribourg was Guido Kung, the conference was made possible by the Fritz Thyssen Stiftung. I should like to thank both for their help. Geneva, April 1988 KEVIN MULLIGAN Xl Abbreviations Employed in the Text Anton Marty's two major works, the Untersuchungen and the posthumously published Raum und Zeit are referred to in what follows in the following style. U Untersuchungen zur Grundlegung der allgemeinen Grammatik und Sprachphilosophie, Vol. I (only volume published). Halle a. S. (shrink)

This book represents the most comprehensive attempt to date to explore and test Derrida's contribution and influence on the study of theology, biblical studies, and the philosophy of religion. Over the course of the last decade, the writings of Derrida and the key concepts that emerge from his work such as the gift, apocalypse, hospitality, and messianism have wrought far-reaching and irresistible changes in the way that scholars approach biblical texts, comparative religious studies, and religious violence, for instance, as well (...) as the way they understand basic religious themes as myth, creation, forgiveness, one-ness, and multiplicity. In addition to original contributions from over twenty highly-regarded scholars including John Caputo, Daniel Boyarin, Edith Wyschogrod, Tim Beal, and Gil Anidjar, the volume opens with a lengthy interview with Derrida. (shrink)

Most libertarians think that some version of the Principle of Alternative Possibilities (PAP) is true. A number of libertarians, which I call ‘Frankfurt-libertarians,’ think that they need not embrace any version of PAP. In this paper, I examine the writings of one such Frankfurt-libertarian, Eleonore Stump, for her evaluation of the impact of Frankfurt-style counterexamples (FSCs) to PAP. I show how, contrary to her own claims, Stump does need a PAP-like principle for her account of free action. I briefly argue (...) that this discussion also goes some distance to showing that any Frankfurt-libertarian is in a similar position regarding the need for some PAP-like principle. If I am correct, then Frankfurt-libertarians must either renounce their incompatibilism or concede that FSCs fail to show all PAP-like principles to be false. (shrink)

In “Bioethics and the Moral Authority of Experience,” Ryan Nelson et al. (2022) argue that personal experience can simultaneously be an asset and a liability in the practice of bioethics and medici...

A l'instar d'un Alain Badiou, Jean-Claude Michéa est devenu culte de son vivant. Près de trente ans après son premier livre, le philosophe montpelliérain, désormais dévoué à l'apprentissage de la permacutlture, a lancé malgré lui une véritable " génération Michéa ". Son plus haut fait d'armes? Avoir rompu avec la gauche sans jamais donner de gages à la droite. Sa ligne de conduite, revenir à un socialisme des origines, a pourtant été l'objet de nombreux contresens, d'interprétations confuses ou de récupérations (...) opportunistes. Entre décroissance, socialisme libertaire, conservatisme, comment percer à jour le mystère Michéa? Son biographe Kévin Boucaud-Victoire a mené l'enquête et décrypte avec clarté, rigueur et humour les travaux du plus anarchiste des conservateurs. (shrink)

This study presents the results of an empirical analysis of the relationship between managerial thinking style and ethical decision-making. Data from 200 managers across multiple organizations and industries demonstrated that managers predominantly adopt a utilitarian perspective when forming ethical intent across a series of business ethics vignettes. Consistent with expectations, managers utilizing a balanced linear/nonlinear thinking style demonstrated a greater overall willingness to provide ethical decisions across ethics vignettes compared to managers with a predominantly linear thinking style. However, results comparing (...) the ethical decision-making of balanced thinking managers and nonlinear thinking managers were generally inconsistent across the ethics vignettes. Unexpectedly, managers utilizing a balanced linear/nonlinear thinking style were least likely to adopt an act utilitarian rationale for ethical decision-making across the vignettes, suggesting that balanced thinkers may be more likely to produce ethical decisions by considering a wider range of alternatives and ruling out those that are justified solely on the basis of their outcomes. Implications are discussed for future research and practice related to management education and development, and ethical decision-making theory. (shrink)

In Radical Skepticism & Epistemic Intuition Michael Bergmann attempts to overcome the threat of radical skepticism as it arises in several different forms. The key to Bergmann’s response to skepticism is his method of intuitionist particularism wherein we give our intuitions about particular beliefs being justified more weight than we do intuitions about the premises of arguments for skepticism. There are two general problems for Bergmann’s response to skepticism. First, he fails to accurately portray the key principle of the skeptical (...) argument. As a result, much of the apparent motivation for looking to intuitionist particularism as opposed to other responses to skepticism is merely apparent. Second, intuitionist particularism faces significant problems when it comes to the Problem of the Criterion and the resolution of conflicting intuitions. However, a related intuitionist method, one incorporating explanationism, may be able to deliver what intuitionist particularism promises while avoiding its problems. (shrink)

Carter and Leslie's Doomsday Argument maintains that reflection upon the number of humans born thus far, when that number is viewed as having been uniformly randomly selected from amongst all humans, past, present and future, leads to a dramatic rise in the probability of an early end to the human experiment. We examine the Bayesian structure of the Argument and find that the drama is largely due to its oversimplification.

C. S. Lewis called for spiritual formation long before the term became popular: “Every Christian is to become a little Christ. The whole purpose of becoming a Christian is simply nothing else”. Lewis's call to become little Christs recalls Paul's exhortation to “put off” the old self and “put on” Christ. This paper explores what this change of costume involves from the perspective of what a “theodramatic” approach to theology that I have developed in The Drama of Doctrine and Faith (...) Speaking Understanding. I there argue that the role of doctrine is to indicate what is in Christ and direct those in Christ to participate in Christ by playing their parts in the drama of redemption. This theatrical model raises an important issue concerning the disciple's self-understanding: Is it healthy for Christians to think in terms of “acting out” what is “in Christ” or does this encourage a false sense of self – a “put on”? I respond to this question in four steps where I present a theodramatic anthropology, describe discipleship as the project of growing into/putting on Christ, consider three objections to my previous work about the relationship between persons/roles and role-playing, and respond to the objections by offering a dogmatic description of putting on Christ in soteriological, pneumatological, and eschatological terms. (shrink)

In recent years, industry-funded research has come under fire because of concerns that it can be biased in favor of the funders. This article suggests that efforts by philosophers of science to analyze the concept of objectivity can provide important lessons for those seeking to evaluate and improve industry-funded research. It identifies three particularly relevant criteria for objectivity: transparency, reproducibility, and effective criticism. On closer examination, the criteria of transparency and reproducibility turn out to have significant limitations in this context, (...) but the criterion of effective criticism suggests some important strategies for improving the objectivity of industry-funded science. (shrink)

Postmodernity allows for no absolutes and no essence. Yet theology is concerned with the absolute, the essential. How then does theology sit within postmodernity? Is postmodern theology possible, or is such a concept a contradiction in terms? Should theology bother about postmodernism or just get on with its own thing? Can it? Theologians have responded in many different ways to the challenges posed by theories of postmodernity. In this introductory 2003 guide to a complex area, editor Kevin J. Vanhoozer (...) addresses the issue head on in a lively survey of what 'talk about God' might mean in a postmodern age, and vice versa. The book then offers examples of different types of contemporary theology in relation to postmodernity, while the second part examines the key Christian doctrines in postmodern perspective. Leading theologians contribute to this clear and informative Companion, which no student of theology should be without. (shrink)

An evidentialist can be extreme about epistemic requirements in a couple of different ways. At the reductionist end of the spectrum are those who think our epistemic obligations are fully satisfied by the mere having of evidential fit—where having implies nothing about doing. Your beliefs ought to align with your evidence, in other words, but there’s nothing you’re obligated to do in order to get yourself into the epistemically optimal position. At the expansionist end of the spectrum are those who (...) think we ought to do more—epistemically-speaking—than just bring about a state of evidential fit. We ought to get more evidence, for instance, if it’s somehow relevant to our beliefs. Rather leery of extremists, we prefer a moderate account of epistemic obligation. It’s a conjunction of three theses: (1) We never have an epistemic duty to believe any particular proposition; (2) We’re epistemically obligated to reflect on our evidence in order to produce a state of evidential fit; (3) We’re never epistemically obligated to acquire any additional evidence. Our aim is to make these plausible. (shrink)

Republicanism is an approach within political theory that seeks to secure the values of political liberty and non-domination. Yet, in historical practice, early modern republics developed empires and secured their liberty through policies that dominated others. This contradiction presents challenges for how neo-Roman theorists understand ideals of liberty and political freedom. This article argues that the historical practices of slavery and empire developed concurrently with the normative ideals of republican liberty. Republican liberty does not arise in the absence of power (...) but is inherently connected to the exercise of power. (shrink)

The present research examines whether the perceived uniqueness of one’s thoughts and salience of uniqueness motivations can influence attitude strength and resistance. Participants who rated their thoughts as relatively unique formed attitudes that showed greater correspondence with behavioral intentions to act on the attitude (Study 1). In Study 2, participants who recalled a previous purchase motivated by the desire to be unique (versus to fit in) after generating message counterarguments were less persuaded (more resistant) and reported greater willingness to act (...) on their (negative) attitude. Moreover, attitudes mediated the effect of the purchase manipulation on intentions to act on the attitude. (shrink)

Many scientific theories purport to describe empirically inaccessible aspects of the world. The agenda of foundational physics is more ambitious still: to characterize the world at the level of 'primitive ontology'. In this pursuit it often posits new and peculiar physical features, a proclivity aided by the abstract, mathematical way in which foundational theories are framed. But how do we decipher their physical content, and in particular the accounts of primitive ontology they offer, and why think that content is true? (...) This dissertation explores the relationship between these questions -- between the problem of ontological interpretation in foundational physics and the nature of scientific realism. I do not argue for a unified account. Rather, I examine three contexts in which their interactions are particularly interesting and philosophically significant. First, I consider the role scientific methodology plays in a prominent naturalistic defense of scientific realism: the no-miracles argument. The most sophisticated form of this argument rests on the broad claim that successful scientific methodology is irredeemably theory dependent. I examine the nature of this theory dependence within the context of Maxwell's development of electromagnetism, and argue that the presence of competing ontological interpretations undermines the realist's attempt to draw sweeping epistemic conclusions from methodological success. I next consider the concept of theoretical reformulation and how it applies to the claim that Lagrangian dynamics is a reformulation of (part of) Newtonian dynamics. How should this claim be understood in light of the fact that the world is non-classical? What can this tell us about the concept of theory reformulation itself, which plays a central role in arguments against scientific realism? I provide an analysis of theory reformulation in terms of counterfactual interpretative judgments, and then cast doubt on its justification in the classical case by developing a non-Newtonian interpretation of Lagrangian dynamics. Finally, I consider whether competing ontological interpretations raise underdetermination problems for realism about foundational physics. After first re-formulating the underdetermination argument to avoid recent objections that it fails to pose any distinctive threat, I suggest a formulation of realism that vitiates the underdetermination threats posed by competing ontological interpretations. (shrink)

Consent for pediatric health care has been evolving for 50 years. Norms for child-rearing and laws concerning child neglect and child abuse are also evolving. Brummett correctly describes th...

Old Indic diphthongs underwent a chain shift whereby e and o monophthongized and ai and au shortened, filling the gap. While it is clear that these changes were complete by the end of the Vedic period, it has been unclear when during that period they occurred. Based on the avoidance of superheavy syllables in metrical cadences, which is corroborated here, I argue that both shifts took place during the compositional period of the R̥ gveda. That is, they had not yet (...) begun when the oldest material was composed, but were largely complete by later material, including book 10. (shrink)