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)

The recent discovery of an indeterministic system in classical mechanics, the Norton dome, has shown that answering the question whether classical mechanics is deterministic can be a complicated matter. In this paper I show that indeterministic systems similar to the Norton dome were already known in the nineteenth century: I discuss four nineteenth century authors who wrote about such systems, namely Poisson, Duhamel, Boussinesq and Bertrand. However, I argue that their discussion of such systems was very (...) different from the contemporary discussion about the Norton dome, because physicists in the nineteenth century conceived of determinism in essentially different ways: whereas in the contemporary literature on determinism in classical physics, determinism is usually taken to be a property of the equations of physics, in the nineteenth century determinism was primarily taken to be a presupposition of theories in physics, and as such it was not necessarily affected by the possible existence of systems such as the Norton dome. (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.

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)

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.

According to John D. Norton's Material Theory of Induction, all inductive inferences are justified by local facts, rather than their formal features or some grand principles of nature's uniformity. Recently, Richard Dawid (Found Phys 45(9):1101–1109, 2015) has offered a challenge to this theory: in an adaptation of Norton's own celebrated "Dome" thought experiment, it seems that there are certain inductions that are intuitively reasonable, but which do not have any local facts that could serve to justify them (...) in accordance with Norton's requirements. Dawid's suggestion is that “raw induction” might have a limited but important role for such inferences. I argue that the Material Theory can accommodate such inductions, because there are local facts concerning the combinatoric features of the induction’s target populations that can licence the inferences in an analogous way to existing examples of material induction. Since my arguments are largely independent of the details of the Dome, Norton's theory emerges as surprisingly robust against criticisms of excessive narrowness. (shrink)

Human Foundations of Management explores the human foundation of management and economic activity in a way that is accessible to readers. The structure and contents of this book examines those aspects of the human being which are relevant to management and economic activities.

A significant voice in encouraging the theoretical development and practical implementation of humanistic management is Pope Benedict XVI. In his Encyclical Letter Caritas in Veritate, published in 2009, he proposed a new humanistic synthesis to realign the economy with its social purpose. The aim of this book is to interpret, comment, and develop aspects of this Encyclical Letter which are significant for economic and business activity and contribute to humanistic management. The authors, specialists in their different fields, provide an interdisciplinary (...) dialogue between their repsective areas and the Encyclical. The first, theoretical, part of the book focuses on the relationship between ethics and economics to advance toward a holistic view of business and managerial activity. The second part is oriented more toward the practical and managerial aspects, and discusses how the Encyclical can contribute to more humanistic ways of management. (shrink)

This chapter contains sections titled: Appendix: Analysis of the Wind‐Powered Boat.

This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level - including geometry, algebra, (...) calculus, complex analysis and more - Norton unlocks students' personal power to construct mathematical objects based on their own mental activity, and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared towards current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally. Anderson Norton is Professor in the Department of Mathematics at Virginia Tech, USA, where he has been teaching mathematics courses for future teachers for 15 years. He is the editor of Constructing Number, and the co-author of Developing Fractions Knowledge and Numeracy for All Learners. (shrink)

This chapter contains section titled: What is Biological Diversity? The Definition Problem Two Models of Biodiversity Science and Management Understanding Biodiversity in Public Policy Discourse Identifying and Measuring Values Derived from Biological Diversity Conclusion References Further Reading.

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)

Having, in previous papers, distinguished at least three forms of consciousness , I now further examine their differences. This examination has some surprising results. Having argued that neither C1 nor C2 is a phenomenological state?and so different from CN?I now show that CN itself is best thought of as a subclass of a larger state . CS is the set of image?representation states. CN is that set of CS states that we are also C2 about. I argue that CN states (...) should be considered a subset of CS states because they share with other CS states imagistic representational powers as opposed to the sentential ones of C1 and C2. And I argue that there are good reasons to consider any state which utilises imagistic representation as a sensation. I then show that the notion of an unconscious sensation makes sense if we think of it as a CS state that is not C2. More radically, I conclude that either it makes sense to say that there are unfelt sensations or there are felt sensations we are not conscious about. While there are good reasons for saying one or the other of these surprising things, I argue that the second, more radical sounding, alternative is actually better motivated?and not quite so surprising as it sounds. (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)

Abstract:German Romanticism plays a central role in Gilbert Simondon's writings. In Mode of Existence, Simondon draws on Goethe and E. T. A. Hoffmann to illustrate the tragic consequences of failing to attend to the individuated relationship between landscape and tool. While Novalis is only mentioned in passing, his work presents the most radical form of what might be called Romantic mechanology. With the stated aim of achieving the ideal of perpetual motion, Novalis's poetics highlight the central role literary experimentation plays (...) in technological thinking, revealing how Simondon may shed new light on several key aspects of romantic poetry and philosophy. (shrink)

Roots presents articles on major discoveries that laid the basis for contemporary molecular and cellular biology. In this article, Norton D. Zinder reviews the first findings about the single‐stranded DNA‐containing bacteriophages and what is known today about the genetics and molecular biology of these phages.

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)

Is there progress in philosophy? If so, how much? Philosophers have recently argued for a wide range of answers to these questions, from the view that there is no progress whatsoever to the view that philosophy has provided answers to all the big philosophical questions. However, these views are difficult to compare and evaluate, because they rest on very different assumptions about the conditions under which philosophy would make progress. This paper looks to the comparatively mature debate about scientific progress (...) for inspiration on how to formulate four distinct accounts of philosophical progress, in terms of truthlikeness, problem-solving, knowledge, and understanding. Equally importantly, the paper outlines a common framework for how to understand and evaluate these accounts. We distill a series of lessons from this exercise, to help pave the way for a more fruitful discussion about philosophical progress in the future. (shrink)

In 1986, I argued that pains are essentially not phenomenal states. Using a Wittgen-steinian son of argument, I showed that the same sort of phenomena can be had on different occasions, and on one occasion persons be in pain, while on another occasion persons not be in pain. I also showed that very different phenomena could be experienced and, yet, organisms have the same sort of pain. I supported my arguments with empirical data from both laboratory and clinical studies. There (...) is nothing about this thesis I would now retract. However, there was a further thesis that needs to be reconsidered. I argued that phenomenal states are only accompaniments of pains, that pains are essentially a combination of cognitive, affective and behavioural/motivational states. This thesis I do now zaish to retract. I now argue that phenomenal states are necessary for pains, but still not sufficient. There must also be a cognitive state which involves an evaluation of the phenomenon as something like, 'Harm to the body'. The evaluation is a kind of de re belief, regarding the phenomenon as itself representing harm to the body. Besides admitting that phenomenal states are necessary for pains, I also now claim that other relevant belief states, affective states, and behavioural/motivational states are not necessary for pain, but normal consequences of pain. This revised theory is preferable to the 1986 one because it fits better with empirical facts (including providing better explanations for anomalous cases), fits better with certain powerful common-sense intuitions, and fits better with a larger theory of consciousness I have been developing. Among other things, it turns out that being in pain is a quite peculiar conscious state and considering it as a paradigm for consciousness is a serious mistake. (shrink)

This book offers a comprehensive and broadly rationalist theory of the mind which continually tests itself against experimental results and clinical data. Taking issue with Empiricists who believe that all knowledge arises from experience and that perception is a non-cognitive state, Norton Nelkin argues that perception is cognitive, constructive and proposition-like. Further, as against Externalists who believe that our thoughts have meaning only insofar as they advert to the world outside our minds, he argues that meaning is determined 'in (...) the head'. Finally, he offers an account of how we acquire some of our most basic concepts, including the concept of the self and that of other minds. (shrink)

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)

When philosophers and psychologists think about consciousness, they generally focus on one or more of three features: phenomenality , intentionality , and introspectibility . Using examples from empirical psychology and neuroscience, I argue that consciousness is not a unitary state, that, instead, these three features characterize different and dissociable states, which often happen to occur together. Understanding these three features as dissociable from each other will resolve philosophical disputes and facilitate scientific investigation.

This book offers a comprehensive and broadly rationalist theory of the mind which continually tests itself against experimental results and clinical data. Taking issue with Empiricists who believe that all knowledge arises from experience and that perception is a non-cognitive state, Norton Nelkin argues that perception is cognitive, constructive, and proposition-like. Further, as against Externalists who believe that our thoughts have meaning only insofar as they advert to the world outside our minds, he argues that meaning is determined 'in (...) the head'. Finally, he offers an account of how we acquire some of our most basic concepts, including the concept of the self and that of other minds. (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)

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)