This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards (...) the math buffs of the world and, more generally, towards the literate and interested public. Philip Davis is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics. Currently a Professor Emeritus from the Division of Applied Mathematics at Brown University, Davis is known for his books both in the areas of computational mathematics and approximation theory and for books exploring certain questions in the philosophy of mathematics and the role of mathematics in society. (shrink)

Presents general information about meteorology, weather, and climate and includes more than thirty activities to help study these topics, including making a ...

Philosopher Rene Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker’s dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the effectiveness of these applications; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for (...) browsing, the essays require different levels of mathematical knowledge that range from popular to professional. 1987 ed. (shrink)

This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of "The Mathematical Experience" as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays.

The Bible has influenced contemporary culture both positively and negatively. The present volume is a collection of papers that were discussed at an international colloquium on the use of the Bible in Ethics in the Department of Biblical Studies at the University of Sheffield in April 1995. Participants came from many parts of the world and from different backgrounds, and the papers reflect their varied interests and the contexts in which they work. The contributors, in addition to the three editors, (...) are John Barton, Bruce Birch, Mark Brett, Mark Chapman, David Clines, Philip Davies, Cheryl Exum, Stephen Fowl, Norman Gottwald, John Haldane, Walter Houston, Sharon Ringe, Chrisopher Rowland, Lisa Sowle Cahill and Gerald West. (shrink)

A person presented with adequate but not conclusive evidence for a proposition is in a position voluntarily to acquire a belief in that proposition, or to suspend judgment about it. The availability of doxastic options in such cases grounds a moderate form of doxastic voluntarism not based on practical motives, and therefore distinct from pragmatism. In such cases, belief-acquisition or suspension of judgment meets standard conditions on willing: it can express stable character traits of the agent, it can be responsive (...) to reasons, and it is compatible with a subjective awareness of the available options. (shrink)

This paper argues for a Husserlian account of phenomenal intentionality. Experience is intentional insofar as it presents a mind-independent, objective world. Its doing so is a matter of the way it hangs together, its having a certain structure. But in order for the intentionality in question to be properly understood as phenomenal intentionality, this structure must inhere in experience as a phenomenal feature. Husserl’s concept of horizon designates this intentionality-bestowing experiential structure, while his concept of motivation designates the unique phenomenal (...) character of this structure as it is experientially lived through. The way experience hangs together is itself a phenomenal feature of experience. (shrink)

Engineers are traditionally regarded as trustworthy professionals who meet exacting standards. In this chapter I begin by explicating our trust relationship towards engineers, arguing that it is a linear but indirect relationship in which engineers “stand behind” the artifacts and technological systems that we rely on directly. The chapter goes on to explain how this relationship has become more complex as engineers have taken on two additional aims: the aim of social engineering to create and steer trust between people, and (...) the aim of creating automated systems that take over human tasks and are meant to invite the trust of those who rely on and interact with them. (shrink)

This essay explores some of the similarities and differences between the views of several Western and Chinese thinkers on the metaphysical status of moral qualities and how we come to perceive and appreciate them. It then uses this comparative analysis to identify and address some remaining problems in regard to these two issues. The essay offers a brief sketch of and introduction to the history of the study of moral qualities and moral perception in modern Western philosophy and takes the (...) views of John McDowell, W ang Yangming, and Mencius as the primary focus of its comparative component. It seeks to understand the views of these thinkers by a careful examination of the metaphors as well as the arguments they employ. (shrink)

The question has been raised whether Nietzsche intends eternal recurrence to be like a categorical imperative. The obvious objection to understanding eternal recurrence as like a categorical imperative is that for a categorical imperative to make any sense, for moral obligation to make any sense, it must be possible for individuals to change themselves. And Nietzsche denies that individuals can change themselves. Magnus thinks the determinism “implicit in the doctine of the eternal recurrence of the same renders any imperative impotent…. (...) How can one will what must happen in any case?” At the other end of the spectrum, those who do hold that eternal recurrence is like a categorical imperative, for their part, tend to ignore or deny the determinism involved in eternal recurrence. This article explores the extent to which it can be claimed that eternal recurrence is like a categorical imperative without downplaying Nietzsche's dterminism. (shrink)

Many people think Marx a totalitarian and Soviet Marxism the predictable outcome of his thought. How might one combat this completely mistaken image? What if one could demonstrate that Western European social democracy represents Marx’s thought far more than did Soviet Marxism? What if one shows that Marx and social democracy are quite compatible? What if one shows that Marx actually supported social democratic parties? If social democracy is closer to being the true face of Marxism after Marx, then all (...) claims of totalitarianism evaporate. There is nothing remotely totalitarian about social democracy. And from the start, social democrats were highly critical of the undemocratic tactics of Soviet Marxism. To demonstrate the relationship between Marx and social democracy it will be necessary to show that, for Marx, socialist society is compatible with a market economy—as long as markets are controlled to eliminate alienation. It will also be necessary to show that markets can be controlled democratically, that Marx was very much a democrat, and that he and Engels worked quite actively with democratic parties. It will also be necessary to show that Marx developed a theory of revolution compatible with a democratic electoral movement engaged in by a social democratic party. It will also be necessary to show that Marx and Engels, from the late 1860s on, worked extensively with and supported the Social Democratic Party (SPD) of Germany—which eventually became the largest party in Germany and the largest socialist party in the world. (shrink)

This article tries to explain how Hegel's Phenomenology is organized, what it is trying to do, and where it is trying to go. It argues that the Phenomenology gives a transcendental deduction of the absolute. Hegel's strategy is to keep setting out more and more complex forms of experience and to demolish any explanations of this experience that are simpler than the absolute--thus, to show that the absolute is the only explanation of experience. We finally get a paradigm with enough (...) scope to include everything, make it a part of a whole, and leave nothing out. (shrink)

Korean Women Philosophers and the Ideal of a Female Sage: The Essential of Writings of Im Yungjidang and Gang Jeongildang introduces the lives and thought of two Korean women Confucian philosophers from the late Joseon Dynasty (18th -19th century), Im Yunjidang (1721-93) and Gang Jeongildang(1772-1832), and sketches some of the ways their work can contribute to contemporary philosophical inquiry. Both women are known for arguing, on the basis of distinctively Confucian philosophical claims about the original, pure moral nature shared by (...) all human beings, that women are as capable as men of attaining the highest forms of intellectual and moral achievement and thereby can become female sages (yeoseong). The fact that they lived in a highly patriarchal culture presented special challenges, but the conditions of their individual lives offered unique opportunities and exerted different kinds of pressure upon them, which subsequently was manifested in their distinctive versions of a generally shared vision. This book explores how they were able to overcome both the general and particular challenges of their place and time and go on to live impressive and exemplary lives. We also shows how their resistance and response to the patriarchal context of late Joseon society and the different challenges they faced in the course of their individual lives informed the content and style of their philosophy and produced original philosophy that remains of great value to us today. (shrink)

Introduction : coming to terms with memory -- The tragedy of memory : Antigone, memory, and the politics of possibility -- Remembering to forget : democratizing memory, Nietzschean forgetting, and South Africa's Truth and Reconciliation Commission -- Introducing segregated memory and segregated democracy in America -- Remembering what others cannot be expected to forget : James Baldwin and segregated memory -- Making silence speak : Toni Morrison and the Beloved community of memory -- In memory of democratic time : specters (...) of Mexico's past and democracy's future -- The future of the past : unholy ghosts and redemptive possibilities -- Imprisoned by the past : the complexion of mass incarceration. (shrink)

Grace and Freedom in a Secular Age offers a concise exposition of key ideas - contingency, otherness, freedom, vulnerability and mutuality - that inform the work of the Canadian philosopher Charles Taylor, especially concerning the dynamics of religious belief and religious denial in what he calls a "a secular age." The book integrates discussion of Immanuel Kant and Susan Neiman in particular and seeks to show how Taylor's work can be fruitfully engaged by theologians.

This paper explores the role of moral uncertainty in explaining the morally disruptive character of new technologies. We argue that existing accounts of technomoral change do not fully explain its disruptiveness. This explanatory gap can be bridged by examining the epistemic dimensions of technomoral change, focusing on moral uncertainty and inquiry. To develop this account, we examine three historical cases: the introduction of the early pregnancy test, the contraception pill, and brain death. The resulting account highlights what we call “differential (...) disruption” and provides a resource for fields such as technology assessment, ethics of technology, and responsible innovation. (shrink)

Three experiments investigated the relationship between subjective experience and attentional lapses during sustained attention. These experiments employed two measures of subjective experience to examine how differences in awareness correspond to variations in both task performance and psycho-physiological measures . This series of experiments examine these phenomena during the Sustained Attention to Response Task . The results suggest we can dissociate between two components of subjective experience during sustained attention: task unrelated thought which corresponds to an absent minded disengagement from the (...) task and a pre-occupation with one's task performance that seems to be best conceptualised as a strategic attempt to deploy attentional resources in response to a perception of environmental demands which exceed ones ability to perform the task. The implications of these findings for our understanding of how awareness is maintained on task relevant material during periods of sustained attention are discussed. (shrink)

This paper develops a philosophical account of moral disruption. According to Robert Baker, moral disruption is a process in which technological innovations undermine established moral norms without clearly leading to a new set of norms. Here I analyze this process in terms of moral uncertainty, formulating a philosophical account with two variants. On the harm account, such uncertainty is always harmful because it blocks our knowledge of our own and others’ moral obligations. On the qualified harm account, there is no (...) harm in cases where moral uncertainty is related to innovation that is “for the best” in historical perspective or where uncertainty is the expression of a deliberative virtue. The two accounts are compared by applying them to Baker’s historical case of the introduction of mechanical ventilation and organ transplantation technologies, as well as the present-day case of mass data practices in the health domain. (shrink)

This paper sets out an account of trust in AI as a relationship between clinicians, AI applications, and AI practitioners in which AI is given discretionary authority over medical questions by clinicians. Compared to other accounts in recent literature, this account more adequately explains the normative commitments created by practitioners when inviting clinicians’ trust in AI. To avoid committing to an account of trust in AI applications themselves, I sketch a reductive view on which discretionary authority is exercised by AI (...) practitioners through the vehicle of an AI application. I conclude with four critical questions based on the discretionary account to determine if trust in particular AI applications is sound, and a brief discussion of the possibility that the main roles of the physician could be replaced by AI. (shrink)

This paper explores the role of moral uncertainty in explaining the morally disruptive character of new technologies. We argue that existing accounts of technomoral change do not fully explain its disruptiveness. This explanatory gap can be bridged by examining the epistemic dimensions of technomoral change, focusing on moral uncertainty and inquiry. To develop this account, we examine three historical cases: the introduction of the early pregnancy test, the contraception pill, and brain death. The resulting account highlights what we call “differential (...) disruption” and provides a resource for fields such as technology assessment, ethics of technology, and responsible innovation. (shrink)

A concise and accessible introduction to the evolution of the concept of moral self-cultivation in the Chinese Confucian tradition, this volume begins with an explanation of the pre-philosophical development of ideas central to this concept, followed by an examination of the specific treatment of self cultivation in the philosophy of Kongzi ("Confucius"), Mengzi ("Mencius"), Xunzi, Zhu Xi, Wang Yangming, Yan Yuan and Dai Zhen. In addition to providing a survey of the views of some of the most influential Confucian thinkers (...) on an issue of fundamental importance to the tradition, Ivanhoe also relates their concern with moral self-cultivation to a number of topics in the Western ethical tradition. Bibliography and index are included. (shrink)

This paper develops a philosophical account of moral disruption. According to Robert Baker (2013), moral disruption is a process in which technological innovations undermine established moral norms without clearly leading to a new set of norms. Here I analyze this process in terms of moral uncertainty, formulating a philosophical account with two variants. On the Harm Account, such uncertainty is always harmful because it blocks our knowledge of our own and others’ moral obligations. On the Qualified Harm Account, there is (...) no harm in cases where moral uncertainty is related to innovation that is “for the best” in historical perspective, or where uncertainty is the expression of a deliberative virtue. The two accounts are compared by applying them to Baker’s historical case of the introduction of mechanical ventilation and organ transplantation technologies, as well as the present-day case of mass data practices in the health domain. (shrink)

Technology is a practically indispensible means for satisfying one’s basic interests in all central areas of human life including nutrition, habitation, health care, entertainment, transportation, and social interaction. It is impossible for any one person, even a well-trained scientist or engineer, to know enough about how technology works in these different areas to make a calculated choice about whether to rely on the vast majority of the technologies she/he in fact relies upon. Yet, there are substantial risks, uncertainties, and unforeseen (...) practical consequences associated with the use of technological artifacts and systems. The salience of technological failure (both catastrophic and mundane), as well as technology’s sometimes unforeseeable influence on our behavior, makes it relevant to wonder whether we are really justified as individuals in our practical reliance on technology. Of course, even if we are not justified, we might nonetheless continue in our technological reliance, since the alternatives might not be attractive or feasible. In this chapter I argue that a conception of trust in technological artifacts and systems is plausible and helps us understand what is at stake philosophically in our reliance on technology. Such an account also helps us understand the relationship between trust and technological risk and the ethical obligations of those who design, manufacture, and deploy technological artifacts. (shrink)

A theory of the first-person plural occupies a unique place in philosophical investigations into intersubjectivity and social cognition. In order for the referent of the first-person plural—“the We”—to come into existence, it seems there must be a shared ground of communicative possibility, but this requires a non-circular explanation of how this ground could be shared in the absence of a pre-existing context of communicative conventions. Margaret Gilbert’s and John Searle’s theories of collective intentionality capture important aspects of the We, but (...) fail to fully account for this shared ground of communicative possibility. This paper argues that Merleau-Ponty’s concept of intercorporeity helps reconcile the positive aspects of these accounts while also explaining how the genesis of the social world is continuous with perceptual life in general. This enables an account of the first-person plural as dependent on reciprocal communicative interaction without the need to posit a primitive or primordial “we-mode” of consciousness. “Intercorporeity” designates a bodily openness to others that is not fundamentally different in kind from the general style of bodily comportment found in Merleau-Ponty’s rich analyses of perceptual life. (shrink)

This paper defends the view that trust is a moral attitude, by putting forward the Obligation-Ascription Thesis: If E trusts F to do X, this implies that E ascribes an obligation to F to do X. I explicate the idea of obligation-ascription in terms of requirement and the appropriateness of blame. Then, drawing a distinction between attitude and ground, I argue that this account of the attitude of trust is compatible with the possibility of amoral trust, that is, trust held (...) among amoral persons on the basis of amoral grounds. It is also compatible with trust adopted on purely predictive grounds. Then, defending the thesis against a challenge of motivational inefficacy, I argue that obligation-ascription can motivate people to act even in the absence of definite, mutually-known agreements. I end by explaining, briefly, the advantages of this sort of moral account of trust over a view based on reactive attitudes such as resentment. (shrink)

Husserl introduces a phenomenological concept called “motivation” early in the First Investigation of his magnum opus, the Logical Investigations. The importance of this concept has been overlooked since Husserl passes over it rather quickly on his way to an analysis of the meaningful nature of expression. I argue, however, that motivation is essential to Husserl’s overall project, even if it is not essen- tial for defining expression in the First Investigation. For Husserl, motivation is a relation between mental acts whereby (...) the content of one act make some fur- ther meaningful content probable. I explicate the nature of this relation in terms of “evidentiary weight” and differentiate it from Husserl’s notion of Evidenz, often translated as “self-evidence”. I elucidate the importance of motivation in Husserl’s overall phenomenological project by focusing on his analyses of thing-perception and empathy. Through these examples, we can better understand the continuity between the Logical Investigations and Husserl’s later work. (shrink)

Four-month-old infants sometimes can perceive the unity of a partly hidden object. In each of a series of experiments, infants were habituated to one object whose top and bottom were visible but whose center was occluded by a nearer object. They were then tested with a fully visible continuous object and with two fully visible object pieces with a gap where the occluder had been. Pattems of dishabituation suggested that infants perceive the boundaries of a partly hidden object by analyzing (...) the movements of its surfaces: infants perceived a connected object when its ends moved in a common translation behind the occluder. Infants do not appear to perceive a connected object by analyzing the colors and forms of surfaces: they did not perceive a connected object when its visible parts were stationary, its color was homogeneous, its edges were aligned, and its shape was simple and regular. These findings do not support the thesis, from gestalt psychology, that object perception first arises as a consequence of a tendency to perceive the simplest, most regular configuration, or the Piagetian thesis that object perception depends on the prior coordination of action. Perception of objects may depend on an inherent conception of what an object is. (shrink)

We take ourselves to have an inner life of thought, and we take ourselves to be capable of linguistically expressing our thoughts to others. But what is the nature of this “inner life” of thought? Is conscious thought necessarily carried out in language? This paper takes up these questions by examining Merleau-Ponty’s theory of expression. For Merleau-Ponty, language expresses thought. Thus it would seem that thought must be independent of, and in some sense prior to, the speech that expresses it. (...) He also claims, however, that thinking just is linguistic expression, and thus that language constitutes thought. The primary aim of this paper is to make sense of this constitutive claim while maintaining that, for Merleau-Ponty, there is an inner life of thought that exists independently of linguistic expression, and that this inner life rightly deserves the label “thought”. The upshot of this account is twofold. First, it explains why the mainstream view of Merleau-Ponty’s theory of expression seems plausible, but is ultimately inadequate. Second, it functions as a corrective to contemporary debates about the nature and scope of phenomenal consciousness and the sense in which conscious experience has content. (shrink)

In this chapter, we consider ethical and philosophical aspects of trust in the practice of medicine. We focus on trust within the patient-physician relationship, trust and professionalism, and trust in Western (allopathic) institutions of medicine and medical research. Philosophical approaches to trust contain important insights into medicine as an ethical and social practice. In what follows we explain several philosophical approaches and discuss their strengths and weaknesses in this context. We also highlight some relevant empirical work in the section on (...) trust in the institutions of medicine. It is hoped that the approaches discussed here can be extended to nursing and other topics in the philosophy of medicine. (shrink)

The burden of research ethics review falls not just on researchers, but on those who serve on research ethics committees (RECs). With the advent of automated text analysis and generative artificial intelligence, it has recently become possible to teach models to support human judgment, for example by highlighting relevant parts of a text and suggesting actionable precedents and explanations. It is time to consider how such tools might be used to support ethics review and oversight. This commentary argues that with (...) a suitable strategy of engagement, artificial intelligence can be used in a variety of ways that can genuinely support RECs and manage their workload and improve the quality of review. It would be wiser to take an active role in the development of AI tools for ethics review, rather than to adopt ad hoc tools after the fact. (shrink)

This paper brings together several strands of thought from both the analytic and phenomenological traditions in order to critically examine accounts of cognitive enhancement that rely on the idea of cognitive extension. First, I explain the idea of cognitive extension, the metaphysics of mind on which it depends, and how it has figured in recent discussions of cognitive enhancement. Then, I develop ideas from Husserl that emphasize the agential character of thought and the distinctive way that conscious thoughts are related (...) to one another. I argue that these considerations are necessary for understanding why forms of cognitive extension may diminish our cognitive lives in different ways. This does not lead to a categorical rejection of cognitive enhancement as unethical or bad for human flourishing, but does warrant a conservative approach to the design and implementation of cognitive artifacts. (shrink)

This paper advances a new criterion of a vulnerable population in research. According to this criterion, there are consent-based and fairness-based reasons for calling a group vulnerable. The criterion is then applied to the case of people with serious illnesses. It is argued that people with serious illnesses meet this criterion for reasons related to consent. Seriously ill people have a susceptibility to “enticing offers” that hold out the prospect of removing or alleviating illness, and this susceptibility reduces their ability (...) to safeguard their own interests. This explains the inclusion of people with serious illnesses in the Belmont Report’s list of populations needing special protections, and supports the claim that vulnerability is the rule, rather than the exception, in biomedical research. (shrink)

A wide-ranging exploration of traditional Chinese views of mortality.

This volume serves both as an introduction to the thought of Mengzi and Wang Yangming and as a comparison of their views. By examining issues held in common by both thinkers, Ivanhoe illustrates how the Confucian tradition was both continued and transformed by Wang Yangming, and shows the extent to which he was influenced by Buddhism. Topics explored are: the nature of morality; human nature; the nature and origin of wickedness; self cultivation; and sagehood. In addition to revised versions of (...) each of these original chapters, Ivanhoe includes a new chapter on Kongzi's view of the Way. (shrink)

This paper presents an account of empathy as the form of experience directed at embodied unities of expressive movement. After outlining the key differences between simulation theory and the phenomenological approach to empathy, the paper argues that while the phenomenological approach is closer to respecting a necessary constitutional asymmetry between first-personal and second-personal senses of embodiment, it still presupposes a general concept of embodiment that ends up being problematic. A different account is proposed that is neutral on the explanatory role (...) of the first-person sense of embodiment, which leads to an emphasis on the transformative nature of empathy and a broadening of the scope of possible targets of empathic awareness. (shrink)

Some of the systems used in natural language generation (NLG), a branch of applied computational linguistics, have the capacity to create or assemble somewhat original messages adapted to new contexts. In this paper, taking Bernard Williams’ account of assertion by machines as a starting point, I argue that NLG systems meet the criteria for being speech actants to a substantial degree. They are capable of authoring original messages, and can even simulate illocutionary force and speaker meaning. Background intelligence embedded in (...) their datasets enhances these speech capacities. Although there is an open question about who is ultimately responsible for their speech, if anybody, we can settle this question by using the notion of proxy speech, in which responsibility for artificial speech acts is assigned legally or conventionally to an entity separate from the speech actant. (shrink)

Some recent accounts of testimonial warrant base it on trust, and claim that doing so helps explain asymmetries between the intended recipient of testimony and other non-intended hearers, e.g. differences in their entitlement to challenge the speaker or to rebuke the speaker for lying. In this explanation ‘dependence-responsiveness’ is invoked as an essential feature of trust: the trustor believes the trustee to be motivationally responsive to the fact that the trustor is relying on the trustee. I argue that dependence-responsiveness is (...) not essential to trust and that the asymmetries, where genuine, can be better explained without reference to trust. (shrink)

Trust should be able to explain cooperation, and its failure should help explain the emergence of cooperation-enabling institutions. This proposed methodological constraint on theorizing about trust, when satisfied, can then be used to differentiate theories of trust with some being able to explain cooperation more generally and effectively than others. Unrestricted views of trust, which take trust to be no more than the disposition to rely on others, fare well compared to restrictive views, which require the trusting person to have (...) some further attitude in addition to this disposition. The same methodological constraint also favours some restrictive views over others. (shrink)

This work concerns the oneness hypothesis--the view, found in different forms and across various disciplines, that we and our welfare are inextricably intertwined with other people, creatures, and things--and its implications for conceptions of the self, virtue, and human happiness.

Research on personality psychology is making important contributions to psychological science and applied psychology. This second edition of The Cambridge Handbook of Personality Psychology offers a one-stop resource for scientific personality psychology. It summarizes cutting-edge personality research in all its forms, including genetics, psychometrics, social-cognitive psychology, and real-world expressions, with informative and lively chapters that also highlight some areas of controversy. The team of renowned international authors, led by two esteemed editors, ensures a wide range of theoretical perspectives. Each research (...) area is discussed in terms of scientific foundations, main theories and findings, and future directions for research. The handbook also features advances in technology, such as molecular genetics and functional neuroimaging, as well as contemporary statistical approaches. An invaluable aid to understanding the central role played by personality in psychology, it will appeal to students, researchers, and practitioners in psychology, behavioral neuroscience, and the social sciences. (shrink)