Generalizations of the virial theorem are derived: In atomic physics, in systems including electromagnetic radiation, in Newtonian gravitation, and in general relativity and also some types of nuclear forces. The cases discussed are limited to potentials which can be produced by the exchange of one particle, which include potentials of the form1/r. The method used is to set equal a change in energy produced by an infinitesimal similarity transformation to a change of energy obtained by a first-order perturbation.

István Hargittai: Judging Edward Teller: A closer look at one of the most influential scientists of the twentieth century Content Type Journal Article Category Book Review Pages 1-3 DOI 10.1007/s10698-011-9133-x Authors George B. Kauffman, Department of Chemistry, California State University, Fresno, Fresno, CA 93740-8034, USA Journal Foundations of Chemistry Online ISSN 1572-8463 Print ISSN 1386-4238.

The Nature of God explores a perennial problem in the philosophy of religion.

This paper challenges “traditional measurement-accuracy realism”, according to which there are in nature quantities of which concrete systems have definite values. An accurate measurement outcome is one that is close to the value for the quantity measured. For a measurement of the temperature of some water to be accurate in this sense requires that there be this temperature. But there isn’t. Not because there are no quantities “out there in nature” but because the term ‘the temperature of this water’ fails (...) to refer owing to idealization and failure of specificity in picking out concrete cases. The problems can be seen as an artifact of vagueness, and so doing facilitates applying Eran Tal’s robustness account of measurement accuracy to suggest an attractive way of understanding vagueness in terms of the function of idealization, a way that sidesteps the problems of higher order vagueness and that shows how idealization provides a natural generalization of what it is to be vague. (shrink)

The Stanford Encyclopedia of Philosophy is an open access, dynamic reference work designed to organize professional philosophers so that they can write, edit, and maintain a reference work in philosophy that is responsive to new research. From its inception, the SEP was designed so that each entry is maintained and kept up to date by an expert or group of experts in the field. All entries and substantive updates are refereed by the members of a distinguished Editorial Board before they (...) are made public. (shrink)

Alan Gewirth's Reason and Morality directed philosophical attention to the possibility of presenting a rational and rigorous demonstration of fundamental moral principles. Now, these previously unpublished essays from some of the most distinguished philosophers of our generation subject Gewirth's program to thorough evaluation and assessment. In a tour de force of philosophical analysis, Professor Gewirth provides detailed replies to all of his critics--a major, genuinely clarifying essay of intrinsic philosophical interest.

This book presents a systematic account of the role of the personal spiritual ideal of wu-wei--literally "no doing," but better rendered as "effortless action"--in early Chinese thought. Edward Slingerland's analysis shows that wu-wei represents the most general of a set of conceptual metaphors having to do with a state of effortless ease and unself-consciousness. This concept of effortlessness, he contends, serves as a common ideal for both Daoist and Confucian thinkers. He also argues that this concept contains within itself (...) a conceptual tension that motivates the development of early Chinese thought: the so-called "paradox of wu-wei," or the question of how one can consciously "try not to try." Methodologically, this book represents a preliminary attempt to apply the contemporary theory of conceptual metaphor to the study of early Chinese thought. Although the focus is upon early China, both the subject matter and methodology have wider implications. The subject of wu-wei is relevant to anyone interested in later East Asian religious thought or in the so-called "virtue-ethics" tradition in the West. Moreover, the technique of conceptual metaphor analysis--along with the principle of "embodied realism" upon which it is based--provides an exciting new theoretical framework and methodological tool for the study of comparative thought, comparative religion, intellectual history, and even the humanities in general. Part of the purpose of this work is thus to help introduce scholars in the humanities and social sciences to this methodology, and provide an example of how it may be applied to a particular sub-field. (shrink)

It was proposed that the data from Monte Carlo statistical investigations be subjected to analysis of variance methods rather than the conventional techniques of tabling, graphing, and inspecting the data. Two examples in which analysis of variance methods were applied to published Monte Carlo studies were presented. It was suggested that balanced factorial designs should be used whenever possible in Monte Carlo studies so that analysis of variance methods would be directly applicable. Finally, three advantages of analysis of variance methods (...) over conventional techniques were described and analysis of variance methods were contrasted with a possible alternative analytical method, multiple regression analysis. (shrink)

National Book Award Finalist. How did humanity originate and why does a species like ours exist on this planet? Do we have a special place, even a destiny in the universe? Where are we going, and perhaps, the most difficult question of all, "Why?" In The Meaning of Human Existence, his most philosophical work to date, Pulitzer Prize–winning biologist Edward O. Wilson grapples with these and other existential questions, examining what makes human beings supremely different from all other species. (...) Searching for meaning in what Nietzsche once called "the rainbow colors" around the outer edges of knowledge and imagination, Wilson takes his readers on a journey, in the process bridging science and philosophy to create a twenty-first-century treatise on human existence—from our earliest inception to a provocative look at what the future of mankind portends. Continuing his groundbreaking examination of our "Anthropocene Epoch," which he began with The Social Conquest of Earth, described by the New York Times as "a sweeping account of the human rise to domination of the biosphere," here Wilson posits that we, as a species, now know enough about the universe and ourselves that we can begin to approach questions about our place in the cosmos and the meaning of intelligent life in a systematic, indeed, in a testable way. Once criticized for a purely mechanistic view of human life and an overreliance on genetic predetermination, Wilson presents in The Meaning of Human Existence his most expansive and advanced theories on the sovereignty of human life, recognizing that, even though the human and the spider evolved similarly, the poet's sonnet is wholly different from the spider's web. Whether attempting to explicate "The Riddle of the Human Species," "Free Will," or "Religion"; warning of "The Collapse of Biodiversity"; or even creating a plausible "Portrait of E.T.," Wilson does indeed believe that humanity holds a special position in the known universe. The human epoch that began in biological evolution and passed into pre-, then recorded, history is now more than ever before in our hands. Yet alarmed that we are about to abandon natural selection by redesigning biology and human nature as we wish them, Wilson soberly concludes that advances in science and technology bring us our greatest moral dilemma since God stayed the hand of Abraham. (shrink)

Finds examples in all walks of life, and explodes a few myths along the way. The author's witty and thought provoking manoeuvres through the pros and cons of PC are both entertaining and at times unexpectedly disturbing.

Science provides us with representations of atoms, elementary particles, polymers, populations, genetic trees, economies, rational decisions, aeroplanes, earthquakes, forest fires, irrigation systems, and the world’s climate. It's through these representations that we learn about the world. This entry explores various different accounts of scientific representation, with a particular focus on how scientific models represent their target systems. As philosophers of science are increasingly acknowledging the importance, if not the primacy, of scientific models as representational units of science, it's important to (...) stress that how they represent plays a fundamental role in how we are to answer other questions in the philosophy of science (e.g. the scientific realism debate). This entry begins by disentangling ‘the’ problem of scientific representation, before critically evaluating the current options available in the literature. (shrink)

This is a book grounded in the real ethical challenges of modern business practice, with a world-religious perspective so necessary in an era of globalization.

The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss its applications in these fields.

This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of the traditional substance/accident dichotomy (...) concerning space. Nevertheless, our analysis of the metaphysical foundations of Newton’s spatial theory will strive to uncover its unique and innovative characteristics, most notably, the distinctive role that Newton’s “immaterialist” spatial ontology plays in his dynamics. (shrink)

Reassesses the philosophical and pedagogical contributions of Protagoras Protagoras and Logos brings together in a meaningful synthesis the contributions and rhetoric of the first and most famous of the Older Sophists, Protagoras of Abdera. Most accounts of Protagoras rely on the somewhat hostile reports of Plato and Aristotle. By focusing on Protagoras's own surviving words, this study corrects many long-standing misinterpretations and presents significant facts: Protagoras was a first-rate philosophical thinker who positively influenced the theories of Plato and Aristotle, and (...) Protagoras pioneered the study of language and was the first theorist of rhetoric. In addition to illustrating valuable methods of translating and reading fifth-century B.C.E. Greek passages, the book marshals evidence for the important philological conclusion that the Greek word translated as rhetoric was a coinage by Plato in the early fourth century. -/- In this second edition, Edward Schiappa reassesses the philosophical and pedagogical contributions of Protagoras. Schiappa argues that traditional accounts of Protagoras are hampered by mistaken assumptions about the Sophists and the teaching of the art of rhetoric in the fifth century. He shows that, contrary to tradition, the so-called Older Sophists investigated and taught the skills of logos, which is closer to modern conceptions of critical reasoning than of persuasive oratory. Schiappa also offers interpretations for each of Protagoras's major surviving fragments and examines Protagoras's contributions to the theory and practice of Greek education, politics, and philosophy. In a new afterword Schiappa addresses historiographical issues that have occupied scholars in rhetorical studies over the past ten years, and throughout the study he provides references to scholarship from the last decade that has refined his views on Protagoras and other Sophists. (shrink)

While cosmopolitans are right to think that state sovereignty is derived from individuals, many cosmopolitan accounts can be too demanding in their expectations for illiberal regimes because they do not account for the attitudes of the persons with who will subject to the intervention. These ‘objectivist’ accounts suggest that sovereignty is wholly a matter of a state’s conformity to the objective demands of justice. In contrast, for ‘subjectivist’ accounts, the attitudes of citizens do matter. Subjectivist cosmopolitans do not deny the (...) objective demands of liberal justice, but argue that state sovereignty is at least partly a matter of the subjective attitude of citizens toward their state. This paper will highlight the reasons why such coercive impositions are troubling, and diagnose why objectivist theories characteristically fail to recognize them. It seeks to articulate a moderate kind of subjectivist cosmopolitanism that balances a liberal concern for rights with a worry about the imposition of political institutions or practices on a people that does not accept them. (shrink)

Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal philosophies of mathematics are each based upon an insight or truth about the nature of mathematics that can be validated. (1) includes the multiverse approach to set theory. (2) helps us to understand (...) the significance of the distinguished non‐logical individual and relation terms of even inconsistent theories. (3) is a metaphilosophical form of mathematical pluralism and hasn't been discussed in the literature. In what follows, I show how the analysis of theoretical mathematics in object theory exhibits all three forms of mathematical pluralism. (shrink)

This essay utilizes the work of the comedy group, Monty Python, as a means of introducing basic concepts in Existentialism, especially as it pertains to the writings of Nietzsche, Sartre, and Camus.

This essay comments on the complexity of the task of accommodating Leibniz’s account of relational motion with his dynamics, as evident in Anja Jauernig’s (2008) Leibniz Review article, and suggests some possible strategies for overcoming these obstacles.

This paper investigates a famous argument, first introduced by Richard Taylor, that attempts to establish a radical similarity in the concepts of space and time. The argument contends that the spatial and temporal aspects of material bodies are much more alike, or analogous, than has been hitherto acknowledged. As will be demonstrated, most of the previous investigations of Taylor and company have failed to pinpoint the weakest link in their complex of analogies. By concentrating on their most fundamental cases, however, (...) a substantial difference, or disanalogy, can be brought to light that undermines this purported equivalence of space and time. (shrink)

This paper explores various metaphysical aspects of Leibniz’s concepts of space, motion, and matter, with the intention of demonstrating how the distinctive role of force in Leibnizian physics can be used to develop a theory of relational motion using privileged reference frames. Although numerous problems will remain for a consistent Leibnizian relationist account, the version developed within our investigation will advance the work of previous commentators by more accurately reflecting the specific details of Leibniz’s own natural philosophy, especially his handling (...) of the dynamical interactions of plenum bodies. (shrink)

The role of conventions in the formulation of Thomas Reid’s theory of the geometry of vision, which he calls the “geometry of visibles”, is the subject of this investigation. In particular, we will examine the work of N. Daniels and R. Angell who have alleged that, respectively, Reid’s “geometry of visibles” and the geometry of the visual field are non-Euclidean. As will be demonstrated, however, the construction of any geometry of vision is subject to a choice of conventions regarding the (...) construction and assignment of its various properties, especially metric properties, and this fact undermines the claim for a unique non-Euclidean status for the geometry of vision. Finally, a suggestion is offered for trying to reconcile Reid’s direct realist theory of perception with his geometry of visibles. (shrink)

In this entry, Frege’s logic is introduced and described in some detail. It is shown how the Dedekind-Peano axioms for number theory can be derived from a consistent fragment of Frege’s logic, with Hume’s Principle replacing Basic Law V.