Newton’s equations of motion tell us that a mass at rest at the apex of a dome with the shape specified here can spontaneously move. It has been suggested that this indeterminism should be discounted since it draws on an incomplete rendering of Newtonian physics, or it is “unphysical,” or it employs illicit idealizations. I analyze and reject each of these reasons. †To contact the author, please write to: Department of History and Philosophy of Science, University of Pittsburgh, Pittsburgh, (...) PA 15260; e‐mail: [email protected]. (shrink)

Norton’s very simple case of indeterminism in classical mechanics has given rise to a literature critical of his result. I am interested here in posing a new objection different from the ones made to date. The first section of the paper expounds the essence of Norton’s model and my criticism of it. I then propose a specific modification in the absence of gravitational interaction. The final section takes into consideration a surprising consequence for classical mechanics from the new (...) model introduced here. (shrink)

John Norton has proposed a position of “material induction” that denies the existence of a universal inductive inference schema behind scientific reasoning. In this vein, Norton has recently presented a “dome scenario” based on Newtonian physics that, in his understanding, is at variance with Bayesianism. The present note points out that a closer analysis of the dome scenario reveals incompatibilities with material inductivism itself.

In this note, I apply Norton’s (Philos Sci 79(2):207–232, 2012) distinction between idealizations and approximations to argue that the epistemic and inferential advantages often taken to accrue to minimal models (Batterman in Br J Philos Sci 53:21–38, 2002) could apply equally to approximations, including “infinite” ones for which there is no consistent model. This shows that the strategy of capturing essential features through minimality extends beyond models, even though the techniques for justifying this extended strategy remain similar. As an (...) application I consider the justification and advantages of the approximation of a inertial reference frame in Norton’s dome scenario (Philos Sci 75(5):786–798, 2008), thereby answering a question raised by Laraudogoitia (Synthese 190(14):2925–2941, 2013). (shrink)

If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes one of the conditions necessary for a locally unique solution to the particle’s equation of motion. I examine the most discussed example of this failure of determinism in classical mechanics—that of Norton’s dome—and the range of current objections against it. Finding there are many different conceptions of classical mechanics appropriate and useful for different purposes, I argue that no single conception is (...) preferred. Instead of arguing for or against determinism, I stress the wide variety of pragmatic considerations that, in a specific context, may lead one usefully and legitimately to adopt one conception over another in which determinism may or may not hold. (shrink)

In my contribution to the Symposium ("On the Vagaries of Determinism and Indeterminism"), I will identify several issues that arise in trying to decide whether Newtonian particle mechanics qualifies as a deterministic theory. I'll also give a mini-tutorial on the geometry and dynamical properties of Norton's dome surface. The goal is to better understand how his example works, and better appreciate just how wonderfully strange it is.

Disparities in maternal morbidity and mortality for Latinx populations are a paradigmatic example of the now widely acknowledged structural racism in U.S. health care that predisposed minorities to...

Supertasks recently discussed in the literature purport to display a failure ofenergy conservation and determinism in Newtonian mechanics. We debatewhether these supertasks are admissible as Newtonian systems, with Earmanand Norton defending the affirmative and Alper and Bridger the negative.

Context: This paper outlines how radical constructivist theory has led to a particular methodological technique, developing second-order models of student thinking, that has helped mathematics educators to be more effective teachers of their students. Problem: The paper addresses the problem of how radical constructivist theory has been used to explain and engender more viable adaptations to the complexities of teaching and learning. Method: The paper presents empirical data from teaching experiments that illustrate the process of second-order model building. Results: The (...) result of the paper is an illustration of how second-order models are developed and how this process, as it progresses, supports teachers to be more effective. Implications: This paper has the implication that radical constructivism has the potential to impact practice. Key Words: Second-order model, radical constructivism, teaching, mathematics education. (shrink)

Many prescriptions offered in the literature for enhancing creativity and innovation in organizations raise ethical concerns, yet creativity researchers rarely discuss ethics. We identify four categories of behavior proffered as a means for fostering creativity that raise serious ethical issues: (1) breaking rules and standard operating procedures; (2) challenging authority and avoiding tradition; (3) creating conflict, competition and stress; and (4) taking risks. We discuss each category, briefly identifying research supporting these prescriptions for fostering creativity and then we delve into (...) ethical issues associated with engaging in the prescribed behavior. These four rubrics illustrate ethical issues that need to be incorporated into the creativity and innovation literature. Recommendations for how organizations can respond to the ethical issues are offered based on practices of exemplary organizations and theories of organizational ethics. A research agenda for empirically investigating the ethical impact these four categories of behavior have on organizations concludes the article. (shrink)

Upshot: In reading the commentaries, we were struck by the fact that all of them were in some capacity related to what we consider a core principle of radical constructivism - interaction. We characterize interaction from a radical constructivist perspective, and then discuss how the authors of the commentaries address one kind of interaction.

The empirical study of grace, a relational virtue, is in its beginning stages. The purpose of this study was to provide rich, context-based, qualitative data to describe Mainline Protestants’ (a) experiences of, and (b) beliefs about, divine grace. Interviews were conducted with 28 community adults who were affiliated with Mainline Protestant Churches. Results indicated that Mainline Protestant Christians have varying beliefs about divine grace and how it is related to both the present moment and the afterlife. Divine grace was often (...) defined as, or associated with, other relational virtues (e.g., forgiveness and love), and participants occasionally defined grace as a gift. In addition, divine grace was also reported to be difficult to accept at times for a variety of reasons, but the effects of divine grace have direct associations with participants’ overall well-being. Divine grace was also associated with beliefs about heaven or the afterlife, yet participants had varying beliefs about how grace is applied to non-Christians. Limitations and future directions for research are discussed in light of the present empirical literature on divine grace. (shrink)

Issues of interest, identity and values intertwine in environmental conflicts, creating challenges that cannot generally be overcome using rationalities grounded in generalised argumentation and abstraction. To address the growing need to engage interests and identities along with plural values in the conservation of biodiversity and ecological systems, we introduce the concept of ‘appropriateness of actions’ and ground it in a relational understanding of environmental ethics. A determination of appropriateness for actions comes from combining outputs from value elicitation with those of (...) interest and identity negotiation in ways that are salient to specific people and their relationships to specific places. Drawing on the Blue Mountain Forest Partnership in the Pacific Northwest, we propose factors of success for supporting appropriate actions: 1) understanding context and identifying key stakeholders; 2) surfacing a diversity of interests and building system-level trust; 3) building empathy for different identities grounded in specific places; 4) eliciting diverse values and seeking to understand their links to worldviews and knowledge systems and; 5) seeking out appropriate actions. (shrink)

Bentham and J. S. Mill can be regarded as utilitarian tax-reformers distinguished from political economists who were simply averse to taxation. The purpose of this paper is to elucidate the difference between Bentham's and Mill's tax reform programmes. Bentham proposed the law of escheat and a tax on bankers' and stock dealers' profits, subject to the principle of least sacrifice of enjoyment. He also planned to correct the inequality of the land tax by extending it into a general income tax. (...) Mill proposed an income tax on the basis of the principle of equal sacrifice of enjoyment. He also proposed a progressive inheritance tax and a variable land tax, regarding unearned income as a fit subject for a special tax. Consequently, Mill used Bentham's ideas and tools to take a step towards a more egalitarian programme. (shrink)

In this paper we provide a psychological explanation for ‘grounding observations’—observations that are thought to provide evidence that there exists a relation of ground. Our explanation does not appeal to the presence of any such relation. Instead, it appeals to certain evolved cognitive mechanisms, along with the traditional modal relations of supervenience, necessitation and entailment. We then consider what, if any, metaphysical conclusions we can draw from the obtaining of such an explanation, and, in particular, if it tells us anything (...) about whether we ought to posit a relation of ground. (shrink)

Reply to Steven Lestition's article, "Countering, Transposing, or Negating the Enlightenment? A Response to Robert Norton," published in the Journal of the History of Ideas(2007), pp. 659-81.

Use of the word "Counter-Enlightenment" has become increasingly frequent in scholarly and journalistic writing. The word was almost certainly invented by the late Sir Isaiah Berlin, and it is owing to his enormous prestige and on-going influence that it has gained its current familiarity. In Berlin's view, two of the most important sources of the supposed Counter-Enlightenment are J. G. Hamann and J. G. Herder. But as I show, Berlin's numerous accounts of their thought are profoundly flawed and reflect not (...) Herder's or Hamann's own thought, but rather that of late nineteenth- and early twentieth-century German historians, who wished to legitimate their own anti-democratic, and hence anti-Enlightenment, ideology through the construction of a false historical genealogy. (shrink)

David Hume is, arguably, the most important philosopher ever to have written in English. Although best known for his contributions to epistemology, metaphysics, and the philosophy of religion, Hume also made substantial and influential contributions to psychology and the philosophy of mind, ethics, the philosophy of science, political and economic theory, political and social history, and, to a lesser extent, aesthetic and literary theory. All facets of Hume's output are discussed in this volume, the first genuinely comprehensive overview of his (...) work. The picture that emerges is of a thinker who, though critical to the point of scepticism, was nonetheless able to build on that scepticism a profoundly important, and still viable, constructive philosophy. (shrink)

Seeing Wittgenstein Anew is a collection which examines Ludwig Wittgenstein's remarks on the concept of aspect-seeing, showing that it was not simply one more topic of investigation in Wittgenstein's later writings but rather a pervasive and guiding concept in his efforts to turn philosophy's attention to the actual conditions of our common life in language. The essays in this 2010 volume open up novel paths across familiar fields of thought: the objectivity of interpretation, the fixity of the past, the acquisition (...) of language, and the nature of human consciousness. Significantly, they exemplify how continuing consideration of the interrelated phenomena of aspect-seeing might produce a fruitful way of doing philosophy in a new century. (shrink)

David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. This set comprises the two volumes of texts and editorial material, which are also available for purchase separately. -/- David Hume (1711 - 1776) is one of the greatest of philosophers. Today he probably ranks highest of all British philosophers in terms of influence and philosophical standing. His philosophical work ranges across morals, the mind, metaphysics, epistemology, religion, and aesthetics; he (...) had broad interests not only in philosophy as it is now conceived but in history, politics, economics, religion, and the arts. He was a master of English prose. -/- The Clarendon Hume Edition will include all of his works except his History of England and minor historical writings. It is the only thorough critical edition, and will provide a far more extensive scholarly treatment than any previous editions. This edition (which has been in preparation since the 1970s) offers authoritative annotation, bibliographical information, and indexes, and draws upon the major advances in textual scholarship that have been made since the publication of earlier editions - advances both in the understanding of editorial principle and practice and in knowledge of the history of Hume's own texts. (shrink)

In the exchange paradox, two players receive envelopes containing different amounts of money. The assignment of the amounts ensures each player has the same probability of receiving each possible amount. Nonetheless, for each specific amount a player may find in his envelope, there is a positive expectation of gain if the player swaps envelopes with the other player, in apparent contradiction with the symmetry of the game. I consider a variant form of the paradox that avoids problems with improper probabilities (...) and I argue that in it these expectations give no grounds for a decision to swap since that decision must be based on a summation of all the expectations. But this sum yields a non‐convergent series that has no meaningful value. The conflicting recommendations – that it is to one or the other player's advantage to swap – arise from different ways of grouping terms in the sum that yield an illusion of convergence. I describe a generalized exchange paradox, explore some of its properties and display another example. (shrink)

In Democracy and the Claims of Nature, the leading thinkers in the fields of environmental, political, and social theory come together to discuss the tensions and sympathies of democratic ideals and environmental values. The prominent contributors reflect upon where we stand in our understanding of the relationship between democracy and the claims of nature. Democracy and the Claims of Nature bridges the gap between the often competing ideals of the two fields, leading to a greater understanding of each for the (...) other. (shrink)

Several recent authors have recommended that “sense of place” should become an important concept in our evaluation of environmental policies. In this paper, we explore aspects of this concept, arguing that it may provide the basis for a new, “place-based” approach to environmental values. This approach is based on an empirical hypothesis that place orientation is a feature of all people’s experience of their environment. We argue that place orientation requires, in addition to a home perspective, a sense of the (...) space around the home place and that this dual aspect can be modeled using a “hierarchical” methodology. We propose a “triscalar,” place-oriented system for the analysis of environmental values, explore the characteristics of place-orientation through several examples, and employ these characteristics to distinguish acceptable and unacceptable aspects of the NIMBY (not-in-my-backyard) idea. (shrink)

For economists, sustainability and environmental valuation are connected in two ways. At the micro level, proper environmental valuation is required if projects are to be approved and rejected consistently with sustainability requirements. This is cost benefit analysis. At the macro level, many take the view that sustainability requires that national income measurement be modified so as to account for environmental damage. Such natural resource accounting is possible only if environmental damage is valued for incorporation into the economic accounts. The paper (...) reviews the techniques that economists have developed for environmental valuation. In regard to cost benefit analysis and sustainability, it is noted that the technique on which most interest focuses, the Contingent Valuation Method, involves the extension of the domain of consumer demand analysis to include the natural environment. Contributions questioning the appropriateness of this are reviewed, and it is argued that they merit more attention from economists than they have received to date. In regard to natural resource accounting, it is argued that while there is little prospect of it achieving what its proponents claim for it, the modelling that it necessarily implies has the potential to both clarify valuation issues and play an important role in informing the policy process. (shrink)

Responding to a major pandemic and planning for allocation of scarce resources under crisis standards of care requires coordination and cooperation across federal, state and local governments in tandem with the larger societal infrastructure. Maryland remains one of the few states with no state-endorsed ASR plan, despite having a plan published in 2017 that was informed by public forums across the state. In this article, we review strengths and weaknesses of Maryland’s response to COVID-19 and the role of the Maryland (...) Healthcare Ethics Committee Network in bridging gaps in the state’s response to prepare health care facilities for potential implementation of ASR plans. Identified “lessons learned” include: Deliberative Democracy Provided a Strong Foundation for Maryland’s ASR Framework; Community Consensus is Informative, Not Normative; Hearing Community Voices Has Inherent Value; Lack of Transparency & Political Leadership Gaps Generate a Fragmented Response; Pandemic Politics Requires Diplomacy & Persistence; Strong Leadership is Needed to Avoid Implementing ASR … And to Plan for ASR; An Effective Pandemic Response Requires Coordination and Information-Sharing Beyond the Acute Care Hospital; and The Ability to Correct Course is Crucial: Reconsidering No-visitor Policies. (shrink)

Many prescriptions offered in the literature for enhancing creativity and innovation in organizations raise ethical concerns, yet creativity researchers rarely discuss ethics. We identify four categories of behavior proffered as a means for fostering creativity that raise serious ethical issues: breaking rules and standard operating procedures; challenging authority and avoiding tradition; creating conflict, competition and stress; and taking risks. We discuss each category, briefly identifying research supporting these prescriptions for fostering creativity and then we delve into ethical issues associated with (...) engaging in the prescribed behavior. These four rubrics illustrate ethical issues that need to be incorporated into the creativity and innovation literature. Recommendations for how organizations can respond to the ethical issues are offered based on practices of exemplary organizations and theories of organizational ethics. A research agenda for empirically investigating the ethical impact these four categories of behavior have on organizations concludes the article. (shrink)

Thoreau believed that we can learn how to live by observing nature, a view that appeals to modem environmentalists. This doctrine is exemplified in Thoreau’s use of insect analogies to illustrate how humans, like butterflies, can be transformed from the “larval” stage, which relates to the physical world through consumption, to a “perfect” state in which consumption is less important, and in which freedom and contemplation are the ends of life. This transformational idea rests upon a theory of dynamic dualism (...) in which the animal and the spiritual self remain in tension, but in which the “maturity” of the individual-transcendence of economic demands as imposed by society-emerges through personal growth based on observation of nature. Thoreau’s dynamic theory of value, and its attractiveness to environmentalists, explains why environmentalists reject the mainstream, neoclassical economic paradigm. This paradigm accepts consumer preferences as “givens” and treats these preferences as thesource of all value in their model. Because Thoreau insists that there is value in transformations from one preference set to another, the neoclassical paradigm cannot capture this central value, and cannot account for the environmentalists’ emphasis on public “education” to reduce consunlptive demands of humans on their environment. (shrink)

The convergence hypothesis asserts that, if one takes the full range of human values—present and future—into account, one will choose a set of policies that can also be accepted by an advocate of a consistent and reasonable nonanthropocentrism. Brian Steverson has attacked this hypothesis from a surprising direction. He attributes to deep ecologists the position that nonhuman nature has intrinsic value, interprets this position to mean that no species could ever be allowed to go extinct, and proceeds to show that (...) my commitment to contextualism prohibits me from advocating the protection of species universally. In response, I show, by reference to recent scientific findings, how difficult it is to defend species preservation in all situations. In particular, I argue that Steverson’s appeal to a possible world in which we have nearly complete biological knowledge misses the point of the convergence hypothesis. It is an empirical hypothesis, with significant indirect, and some direct, evidence to support it. Although it is a falsifiable hypothesis about realworld policies, it cannot be falsified by a contrary-to-fact case. (shrink)

David and Mary Norton present the definitive scholarly edition of one of the greatest philosophical works ever written. This second volume begins with their 'Historical Account' of the Treatise, an account that runs from the beginnings of the work to the period immediately following Hume's death in 1776, followed by an account of the Nortons' editorial procedures and policies and a record of the differences between the first-edition text of the Treatise and the critical text that follows. The volume continues (...) with an extensive set of 'Editors' Annotations', intended to illuminate Hume's texts; a four-part bibliography of materials cited in both volumes; and a comprehensive index. (shrink)

David and Mary Norton present the definitive scholarly edition of one of the greatest philosophical works ever written. This first volume contains the critical text of David Hume's Treatise of Human Nature, followed by the shortin which Hume set out the key arguments of the larger work; the volume concludes with A Letter from a Gentleman to his Friend in Edinburgh, Hume's defence of the Treatise when it was under attack from ministers seeking to prevent Hume's appointment as Professor of (...) Moral Philosophy at the University of Edinburgh. (shrink)

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In recent years, several philosophers have argued that their discipline makes no progress (or not enough in comparison to the “hard sciences”). A key argument for this pessimistic position appeals to the purported fact that philosophers widely and systematically disagree on most major philosophical issues. In this paper, we take a step back from the debate about progress in philosophy specifically and consider the general question: How (if at all) would disagreement within a discipline undermine that discipline’s progress? We reject (...) two arguments from disagreement to a lack of progress, and spell out two accounts of progress on which progress is compatible with disagreements that persist or increase over time. However, we also argue that disagreement can undermine our ability to tell which developments are progressive (and to what degree). So, while disagreement can indeed be a threat to progress, the precise nature of the threat has not been appreciated. (shrink)

Supply‐side economists claim that a low top marginal income‐tax rate accelerates investment, employment, and economic growth. But the economic literature cited to support the supply‐side hypothesis provides little to no empirical support for it. And a more comprehensive empirical examination of key parameters of U.S. economic performance in the postwar period, undertaken here, shows no association between low top marginal income‐tax rates and high real growth in investment, employment, or GDP. By contrast, the analysis yields strong evidence for the economic‐growth (...) benefits of a “demand‐side” approach to taxation policy. (shrink)

The COVID-19 pandemic has impacted data collection for longitudinal studies in developmental sciences to an immeasurable extent. Restrictions on conducting in-person standardized assessments have led to disruptive innovation, in which novel methods are applied to increase participant engagement. Here, we focus on remote administration of behavioral assessment. We argue that these innovations in remote assessment should become part of the new standard protocol in developmental sciences to facilitate data collection in populations that may be hard to reach or engage due (...) to burdensome requirements. We present a series of adaptations to developmental assessments and a detailed discussion of data analytic approaches to be applied in the less-than-ideal circumstances encountered during the pandemic-related shutdown. Ultimately, these remote approaches actually strengthen the ability to gain insight into developmental populations and foster pragmatic innovation that should result in enduring change. (shrink)

This paper defends the usefulness of the concept of philosophical progress and the common assumption that philosophy and science aim to make the same, or a comparable, kind of progress. It does so by responding to Yafeng Shan's (2022) arguments that the wealth of research on scientific progress is not applicable or useful to philosophy, and that philosophy doesn't need a concept of progress at all. It is ultimately argued that while Shan's arguments are not successful, they reveal the way (...) forward in developing accounts of philosophical progress. (shrink)

This is the first study to unite hume's philosophical writings with his long- neglected historical works. Hume emerges from this comprehensive reading as a philosopher whose main doctrines of knowledge and existence are structured by "historical", "narrative" categories making his empiricism unique. By reference to these categories, hume's entire philosophical enterprise takes on new meaning and his conceptions of causality, perception, imagination, reason, utility, and skepticism appear in a different light. MODERN; HISTORY; CAUSAL EXPLANATION; IDEA; NARRATIVE; DIALECTIC; LANGUAGE; CULTURE; MORAL (...) HUME , Philosophie, anlgais, histoire, narration, dialectique causalité cause, morale, connaissance, empirisme, naturalisme scépticisme. (shrink)

Landauer’s principle is the loosely formulated notion that the erasure of n bits of information must always incur a cost of k ln n in thermodynamic entropy. It can be formulated as a precise result in statistical mechanics, but for a restricted class of erasure processes that use a thermodynamically irreversible phase space expansion, which is the real origin of the law’s entropy cost and whose necessity has not been demonstrated. General arguments that purport to establish the unconditional validity of (...) the law fail. They turn out to depend on the illicit formation of a canonical ensemble from memory devices holding random data. To exorcise Maxwell’s demon one must show that all candidate devices—the ordinary and the extraordinary—must fail to reverse the second law of thermodynamics. The theorizing surrounding Landauer’s principle is too fragile and too tied to a few specific examples to support such general exorcism. Charles Bennett’s recent extension of Landauer’s principle to the merging of computational paths fails for the same reasons as trouble the original principle. (shrink)

We have now celebrated the centenary of J. J. Thomson’s famous paper (1897) on the electron and have examined one hundred years of the history of our first fundamental particle. What should philosophers of science learn from this history? To some, the fundamental moral is already suggested by the rapid pace of this history. Thomson’s concern in 1897 was to demonstrate that cathode rays are electrified particles and not aetherial vibrations, the latter being the “almost unanimous opinion of German physicists” (...) (p. 293) But were these German physicists so easily vanquished? De Broglie proposed in 1923 that electrons are a wave phenomenon after all and his proposal was soon multiply vindicated, even by the detection of the diffraction of the electron waves. Should we not learn from such a reversal? Should we not dispense with the simple-minded idea that Thomson discovered our first fundamental particle and admit that the very notion of discovery might well be ill-suited to science? (shrink)

David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. The first volume contains the critical text of David Hume's Treatise of Human Nature , followed by the shortin which Hume set out the key arguments of the larger work; the volume concludes with A Letter from a Gentleman to his Friend in Edinburgh , Hume's later defence of the Treatise.

David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. This second volume contains their historical account of how the Treatise was written and published; an explanation of how they have established the text; an extensive set of annotations which illuminate Hume's texts; and a comprehensive bibliography and index.

Norton’s and Myrvold’s recent analyses of fluctuations and Landauer’s principle are compatible.