1.1 Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Tangent Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (...) . . . . . . . . . . . 7 1.3 Vector Fields, Integral Curves, and Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4 Tensors and Tensor Fields on Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.5 The Action of Smooth Maps on Tensor Fields . . . . . . . . . . . . . . . . . . . . . . . . . 31 1.6 Lie Derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1.7 Derivative Operators and Geodesics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 1.8 Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 1.9 Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 1.10 Hypersurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 1.11 Volume Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96.. (shrink)

We propose an "explanation scheme" for why the Gibbs phase average technique in classical equilibrium statistical mechanics works. Our account emphasizes the importance of the Khinchin-Lanford dispersion theorems. We suggest that ergodicity does play a role, but not the one usually assigned to it.

David Albert claims that classical electromagnetic theory is not time reversal invariant. He acknowledges that all physics books say that it is, but claims they are ``simply wrong" because they rely on an incorrect account of how the time reversal operator acts on magnetic fields. On that account, electric fields are left intact by the operator, but magnetic fields are inverted. Albert sees no reason for the asymmetric treatment, and insists that neither field should be inverted. I argue, to (...) the contrary, that the inversion of magnetic fields makes good sense and is, in fact, forced by elementary geometric considerations. I also suggest a way of thinking about the time reversal invariance of classical electromagnetic theory -- one that makes use of the invariant (four-dimensional) formulation of the theory -- that makes no reference to magnetic fields at all. It is my hope that it will be of interest in its own right, Albert aside. It has the advantage that it allows for arbitrary curvature in the background spacetime structure, and is therefore suitable for the framework of general relativity. (The only assumption one needs is temporal orientability.). (shrink)

John Norton has recently argued that Newtonian gravitation theory (at least as applied to cosmological contexts where one envisions the possibility of a homogeneous mass distribution throughout all of space) is inconsistent. I am not convinced. Traditional formulations of the theory may seem to break down in cases of the sort Norton considers. But the difficulties they face are only apparent. They are artifacts of the formulations themselves, and disappear if one passes to the so-called "geometrized" formulation of the theory.

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.

The paper first tries to explain how the possibility of "time travel" arises in the Godel universe. It then goes on to discuss a technical problem conerning minimal acceleration requirements for time travel. A theorem is stated and a conjecture posed. If the latter is correct, time travel can be ruled out as a practical possibility in the Godel universe.

Within the framework of general relativity, in some cases at least, it is a delicate and interesting question just what it means to say that an extended body is or is not "rotating". It is so for two reasons. First, one can easily think of different criteria of rotation. Though they agree if the background spacetime structure is sufficiently simple, they do not do so in general. Second, none of the criteria fully answers to our classical intuitions. Each one exhibits (...) some feature or other that violates those intuitions in a significant and interesting way. The principal goal of the paper is to make the second claim precise in the form of a modest no-go theorem. (shrink)

In this book, 13 leading philosophers of science focus on the work of Professor Howard Stein, best known for his study of the intimate connection between ...

Itamar Pitowsky's book, published in the Springer-Verlag Lecture Notes in Physics series, brings together several extremely interesting component investigations concerning the foundations of quantum mechanics. All deal with issues of probability including, in one case, the relation of probability to logic. It is a significant contribution, offering both new, nontrivial mathematical results, and provocative philosophical remarks about their significance.

We consider the following question within both Newtonian physics and relativity theory. "Given two point particles X and Y, if Y is rotating relative to X, does it follow that X is rotating relative to Y?" As it stands the question is ambiguous. We discuss one way to make it precise and show that, on that reading at least, the answers given by the two theories are radically different. The relation of relative orbital rotation turns out to be symmetric in (...) Newtonian physics, but not in relativity theory. (shrink)

We consider the following question within both Newtonian physics and relativity theory. "Given two point particles X and Y, if Y is rotating relative to X, does it follow that X is rotating relative to Y?" As it stands the question is ambiguous. We discuss one way to make it precise and show that, on that reading at least, the answers given by the two theories are radically different. The relation of relative orbital rotation turns out to be symmetric in (...) Newtonian physics, but not in relativity theory. (shrink)

In Playing Politics with Science, David B. Resnik explores the philosophical, political, and ethical issues related to the politicalization of science and ...

Most people do not think to observe geology from the sidewalks of a major city, but all David B. Williams has to do is look at building stone in any urban center to find a range of rocks equal to any assembled by plate tectonics. In Stories in Stone, he takes you on explorations to find 3.5-billion-year-old rock that looks like swirled pink-and-black taffy, a gas station made of petrified wood, and a Florida fort that has withstood three hundred (...) years of attacks and hurricanes, despite being made of a stone that has the consistency of a granola bar. Williams also weaves in the cultural history of stone, explaining why a white fossil-rich limestone from Indiana became the only building stone used in all fifty states; how in 1825, the construction of the Bunker Hill Monument led to America’s first commercial railroad; and why when the same kind of marble used by Michelangelo clad a Chicago skyscraper it warped so much after nineteen years that all 44,000 panels of it had to be replaced. This love letter to building stone brings to life the geology you can see in the structures of every city. (shrink)

This book is a novel synthesis of the philosophy and practice of science, covering its diverse theoretical, metaphysical, logical, philosophical, sociological, and practical elements. Students, philosophers and practicing scientists will learn how to think more deeply and holistically about their work, i.e., how to know how to know.

The argument for metaethical relativism, the view that there is no single true or most justified morality, is that it is part of the best explanation of the most difficult moral disagreements. This Element discusses the latest arguments in ethical theory in an accessible manner, with many examples and cases.

Do psychological traits predict philosophical views? We administered the PhilPapers Survey, created by David Bourget and David Chalmers, which consists of 30 views on central philosophical topics (e.g., epistemology, ethics, metaphysics, philosophy of mind, and philosophy of language) to a sample of professional philosophers (N = 314). We extended the PhilPapers survey to measure a number of psychological traits, such as personality, numeracy, well-being, lifestyle, and life experiences. We also included non-technical ‘translations’ of these views for eventual use (...) in other populations. We found limited to no support for the notion that personality or demographics predict philosophical views. We did, however, find that some psychological traits were predictive of philosophical views, even after strict correction for multiple comparisons. Findings include: higher interest in numeracy predicted physicalism, naturalism, and consequentialism; lower levels of well-being and higher levels of mental illness predicted hard determinism; using substances such as psychedelics and marijuana predicted non-realist and subjectivist views of morality and aesthetics; having had a transformative or self-transcendent experience predicted theism and idealism. We discuss whether or not these empirical results have philosophical implications, while noting that 68% of our sample of professional philosophers indicated that such findings would indeed have philosophical value. (shrink)

Evidence suggests that psychedelics bring about their therapeutic outcomes in part through the subjective or qualitative effects they engender and how the individual interprets the resulting experiences. However, psychedelics are contraindicated for individuals who have been diagnosed with certain mental illnesses, on the grounds that these subjective effects may be disturbing or otherwise counter-therapeutic. Substantial resources are therefore currently being devoted to creating psychedelic substances that produce many of the same biological changes as psychedelics, but without their characteristic subjective effects. (...) In this article, we consider ethical issues arising from the prospect of such potential “nonsubjective” psychedelics. We are broadly supportive of efforts to produce such substances for both scientific and clinical reasons. However, we argue that such nonsubjective psychedelics should be reserved for those special cases in which the subjective effects of psychedelics are specifically contraindicated, whereas classic psychedelics that affect subjective experience should be considered the default and standard of care. After reviewing evidence regarding the subjective effects of psychedelics, we raise a number of ethical concerns around the prospect of withholding such typically positive, meaningful, and therapeutic experiences from most patients. (shrink)

We introduce a framework that can be used to model both mathematics and human reasoning about mathematics. This framework involves stochastic mathematical systems (SMSs), which are stochastic processes that generate pairs of questions and associated answers (with no explicit referents). We use the SMS framework to define normative conditions for mathematical reasoning, by defining a “calibration” relation between a pair of SMSs. The first SMS is the human reasoner, and the second is an “oracle” SMS that can be interpreted as (...) deciding whether the question–answer pairs of the reasoner SMS are valid. To ground thinking, we understand the answers to questions given by this oracle to be the answers that would be given by an SMS representing the entire mathematical community in the infinite long run of the process of asking and answering questions. We then introduce a slight extension of SMSs to allow us to model both the physical universe and human reasoning about the physical universe. We then define a slightly different calibration relation appropriate for the case of scientific reasoning. In this case the first SMS represents a human scientist predicting the outcome of future experiments, while the second SMS represents the physical universe in which the scientist is embedded, with the question–answer pairs of that SMS being specifications of the experiments that will occur and the outcome of those experiments, respectively. Next we derive conditions justifying two important patterns of inference in both mathematical and scientific reasoning: (i) the practice of increasing one’s degree of belief in a claim as one observes increasingly many lines of evidence for that claim, and (ii) abduction, the practice of inferring a claim’s probability of being correct from its explanatory power with respect to some other claim that is already taken to hold for independent reasons. (shrink)

This book is a selection of articles by David Zilberman, a prolific author, whose tragic untimely death did not allow to finish many of his undertakings. Zilberman’s work represents a fresh word in the way of philosophizing or philosophy-building and the technique of modal methodology. This book comprises of thirteen independent articles that are not related by content. The point of thematic convergence of these articles is the way they reflect the new way of methodological thinking through the application (...) and benefits of modalization or modal methodology that unfolds unbound possibilities of philosophic elaborations. By shifting constantly from one position to another, Zilberman disclosed the antinomicity of all types of thought. Such an approach led him to outline for the first time his major attempt to start creating not "systems" but "sums" of philosophies so that the philosophical activity would be able to re-emerge on the slopes of such "sums." The book can be used as a starting point of a discussion, especially in study of philosophy. We imagine it can be used in undergraduate classes on World Philosophies or Intercultural Philosophy courses. With that, it can serve as a useful resource for adding intercultural elements into Western-centered courses. (shrink)

David B. Wong proposes that there can be a plurality of true moralities, moralities that exist across different traditions and cultures, all of which address facets of the same problem: how we are to live well together. Wong examines a wide array of positions and texts within the Western canon as well as in Chinese philosophy, and draws on philosophy, psychology, evolutionary theory, history, and literature, to make a case for the importance of pluralism in moral life, and to (...) establish the virtues of acceptance and accommodation. Wong's point is that there is no single value or principle or ordering of values and principles that offers a uniquely true path for human living, but variations according to different contexts that carry within them a common core of human values. We should thus be modest about our own morality, learn from other approaches, and accommodate different practices in our pluralistic society. (shrink)

During the past decade scientists, public policy analysts, politicians, and laypeople, have become increasingly aware of the importance of ethical conduct in scientific research. In this timely book, David B. Resnik introduces the reader to the ethical dilemmas and questions that arise in scientific research. Some of the issues addressed in the book include ethical decision-making, the goals and methods of science, and misconduct in science. The Ethics of Science also discusses significant case studies such as human and animal (...) cloning, the Challenger accident and Tobacco research. This is essential reading for anyone who wishes to understand the importance of ethics in science. (shrink)

Modern science is big business. Governments, universities, and corporations have invested billions of dollars in scientific and technological research in the hope of obtaining power and profit. For the most part, this investment has benefited science and society, leading to new discoveries, inventions, disciplines, specialties, jobs, and career opportunities. However, there is a dark side to the influx of money into science. Unbridled pursuit of financial gain in science can undermine scientific norms, such as objectivity, honesty, openness, respect for research (...) participants, and social responsibility. In The Price of Truth, David B. Resnik examines some of the important and difficult questions resulting from the financial and economic aspects of modern science. How does money affect scientific research? Have scientists become entrepreneurs bent on making money instead of investigators searching for the truth? How does the commercialization of research affect the public's perception of science? Can scientists prevent money from corrupting the research enterprise? What types of rules, polices, and guidelines should scientists adopt to prevent financial interests from adversely affecting research and the public's opinion of science? (shrink)

David Annis is professor of philosophy at Ball State University. In this essay, Annis offers an alternative to the foundationalist-coherent controversy: "contextualism." This theory rejects both the idea of intrinsically basic beliefs in the foundational sense and the thesis that coherence is sufficient for justification. he argues that justification is relative to the varying norms of social practices.

The growing interest in Africa as well as concerns about negative deviant behaviors and ethnic structures necessitates examination of the effect of ethnic expectations on behavior of employees. In this study we leverage insight from ethnos oblige theory to propose that centralization of ethnic norms moderates the relationship between benevolence expectations and negative deviant behavior. Using a cross-sectional design and data from two countries as well as moderation and cross-cultural analytic techniques, we find support for three-way interactions where the relationship (...) between benevolence and negative deviant behavior is moderated by centralization and culture. We discuss the implications of the findings which support the dynamic perspective of management in Africa. (shrink)

This book provides a framework for approaching ethical and policy dilemmas in research with human subjects from the perspective of trust. It explains how trust is important not only between investigators and subjects but also between and among other stakeholders involved in the research enterprise, including research staff, sponsors, institutions, communities, oversight committees, government agencies, and the general public. The book argues that trust should be viewed as a distinct ethical principle for research with human subjects that complements other principles, (...) such as autonomy, beneficence, non-maleficence, and justice. The book applies the principle of trust to numerous issues, including informed consent, confidentiality, risk minimization, risks and benefits, protection of vulnerable subjects, experimental design, research integrity, and research oversight.This work also includes discussions of the history of research involving human subjects, moral theories and principles, contemporary cases, and proposed regulatory reforms. The book is useful for undergraduate and graduate students studying ethical policy issues related to research with human subjects, as well as for scientists and scholars who are interested in thinking about this topic from the perspective of trust. (shrink)

In America today, the problem of achieving racial justice--whether through "color-blind" policies or through affirmative action--provokes more noisy name-calling than fruitful deliberation. In Color Conscious, K. Anthony Appiah and Amy Gutmann, two eminent moral and political philosophers, seek to clear the ground for a discussion of the place of race in politics and in our moral lives. Provocative and insightful, their essays tackle different aspects of the question of racial justice; together they provide a compelling response to our nation's most (...) vexing problem.Appiah begins by establishing the problematic nature of the idea of race. He draws on the scholarly consensus that "race" has no legitimate biological basis, exploring the history of its invention as a social category and showing how the concept has been used to explain differences among groups of people by mistakenly attributing various "essences" to them. Appiah argues that, while people of color may still need to gather together, in the face of racism, under the banner of race, they need also to balance carefully the calls of race against the many other dimensions of individual identity; and he suggests, finally, what this might mean for our political life.Gutmann examines alternative political responses to racial injustice. She argues that American politics cannot be fair to all citizens by being color blind because American society is not color blind. Fairness, not color blindness, is a fundamental principle of justice. Whether policies should be color-conscious, class conscious, or both in particular situations, depends on an open-minded assessment of their fairness. Exploring timely issues of university admissions, corporate hiring, and political representation, Gutmann develops a moral perspective that supports a commitment to constitutional democracy.Appiah and Gutmann write candidly and carefully, presenting many-faceted interpretations of a host of controversial issues. Rather than supplying simple answers to complex questions, they offer to citizens of every color principled starting points for the ongoing national discussions about race. (shrink)

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1984.

Environmental Health Ethics illuminates the conflicts between protecting the environment and promoting human health. In this study, David B. Resnik develops a method for making ethical decisions on environmental health issues. He applies this method to various issues, including pesticide use, antibiotic resistance, nutrition policy, vegetarianism, urban development, occupational safety, disaster preparedness and global climate change. Resnik provides readers with the scientific and technical background necessary to understand these issues. He explains that environmental health controversies cannot simply be reduced (...) to humanity versus environment and explores the ways in which human values and concerns - health, economic development, rights and justice - interact with environmental protection. (shrink)

This book fills a gap in the literature on the Precautionary Principle by placing the principle within the wider context of precautionary reasoning and uses philosophical arguments and case studies to demonstrate when it does—and does not—apply. The book invites the reader to take a step back from the controversy surrounding the Precautionary Principle and consider the overarching rationales for responding to threats to the environment or public health. It provides practical guidance and probing insight for the intended audience, including (...) scholars, students, journalists, and policymakers. (shrink)

One reason why the Biological Approach to personal identity is attractive is that it doesn’t make its advocates deny that they were each once a mindless fetus.[i] According to the Biological Approach, we are essentially organisms and exist as long as certain life processes continue. Since the Psychological Account of personal identity posits some mental traits as essential to our persistence, not only does it follow that we could not survive in a permanently vegetative state or irreversible coma, but it (...) would appear that none of us was ever a mindless fetus. But what happens to the organism that was a mindless fetus when the _person_ arrives on the scene?[ii] Can the acquisition of thought destroy an organism? That would certainly be news to biologists. Does one organism cease to exist with the emergence of thought and another organism, one identical to the person, take its place? (Burke,1994) That doesn’t seem much more plausible than the previous move. Should identity and Leibniz. (shrink)

This book is unusual in many respects. It was written by a prolific author whose tragic untimely death did not allow to finish this and many other of his undertakings. It was assembled from numerous excerpts, notes, and fragments according to his initial plans. Zilberman’s legacy still awaits its true discovery and this book is a second installment to it after The Birth of Meaning in Hindu Thought (Kluwer, 1988). Zilberman’s treatment of analogy is unique in its approach, scope, and (...) universality for Western philosophical thought. Constantly compared to eastern and especially classical Indian interpretations, analogy is presented by Zilberman as an important and in many ways primary method of philosophizing or philosophy-building. Due to its universality, this method can be also applied in linguistics, logic, social analysis, as well as historical and anthropological research. These applications are integral part of Zilberman’s book. A prophetic leap to largely uncharted territories, this book could be of considerable interest for experts and novices in the field of analogy alike. (shrink)

We become ill in ways our parents and grandparents did not, with diseases unheard of and treatments undreamed of generations ago. This text tells the story of the modern experience of illness, linking ideas of illness, health, and postmodernism.

The fact that the names of biological species refer independently of identifying descriptions does not support the view of Ghiselin and Hull that species are individuals. Species may be regarded as natural kinds whose members share an essence which distinguishes them from the members of other species and accounts for the fact that they are reproductively isolated from the members of other species. Because evolutionary theory requires that species be spatiotemporally localized their names cannot occur in scientific laws. If natural (...) kind status is denied to species on this ground, it must also be denied to most classes of concrete entities which are now accorded such status. (shrink)

Various U.S. laws, such as the Clean Air Act and the Food Quality Protection Act, require additional protections for susceptible subpopulations who face greater environmental health risks. The main ethical rationale for providing these protections is to ensure that environmental health risks are distributed fairly. In this article, we (1) consider how several influential theories of justice deal with issues related to the distribution of environmental health risks; (2) show that these theories often fail to provide specific guidance concerning policy (...) choices; and (3) argue that an approach to public decision making known as accountability for reasonableness can complement theories of justice in establishing acceptable environmental health risks for the general population and susceptible subpopulations. Since accountability for reasonableness focuses on the fairness of the decision-making process, not the outcome, it does not guarantee that susceptible subpopulations will receive a maximum level of protection, regardless of costs or other morally relevant considerations. (shrink)

This essay analyzes the concept of public trust in science and offers some guidance for ethicists, scientists, and policymakers who use this idea defend ethical rules or policies pertaining to the conduct of research. While the notion that public trusts science makes sense in the abstract, it may not be sufficiently focused to support the various rules and policies that authors have tried to derive from it, because the public is not a uniform body with a common set of interests. (...) Well-focused arguments that use public trust to support rules or policies for the conduct of research should specify (a) which public is being referred to (e.g. the general public or a specific public, such as a particular community or group); (b) what this public expects from scientists; (c) how the rule or policy will ensure that these expectations are met; and (d) why is it important to meet these expectations. (shrink)

The precautionary principle holds that we should not allow scientific uncertainty to prevent us from taking precautionary measures in response to potential threats that are irreversible and potentially disastrous. Critics of the principle claim that it deters progress and development, is excessively risk-aversive and is unscientific. This paper argues that the principle can be scientific provided that the threats addressed by the principle are plausible threats, and the precautionary measures adopted are reasonable. The paper also argues that one may use (...) epistemic criteria, such as consistency, coherence and explanatory power, to determine whether a threat is plausible, and that one may use practical considerations, such as effectiveness, proportionality, cost-effectiveness, realism and consistency, to determine whether a response to a threat is reasonable. (shrink)

Green bioethics is an area of research and scholarship that examines the impact of healthcare practices and policies on the environment and emphasises environmental values, such as ecological sustainability and stewardship. Some green bioethicists have argued that healthcare providers should inform patients about the environmental impacts of treatments and advocate for options that minimise adverse impacts. While disclosure of information pertaining to the environmental impacts of treatments could facilitate autonomous decision-making and strengthen the patient–provider relationship in situations where patients have (...) clearly expressed environmental concerns, it may have the opposite effect in other situations if makes patients feel like they are being judged or manipulated. We argue, therefore, that there is not a generalisable duty to disclose environmental impact information to all patients during the consent process. Providers who practice green bioethics should focus on advocating for system-level changes in healthcare financing, organisation and delivery and use discretion when bringing up environmental concerns in their encounters with patients. (shrink)