Michael Eckert has written a remarkable biography of Arnold Sommerfeld , the “off-scale” theoretical physicist who made his Seminar at the University of Munich the outstanding school of theoretical physics of the first third of the twentieth century. Sommerfeld was the teacher and mentor of a large number of exceptional theoretical physicists who studied with him either as doctoral or post-doctoral studentsSee the Wikipedia entry for Arnold Sommerfeld for a complete (...) listing of all his students by category.; and among these, Peter Debye, Max von Laue, Wolfgang Pauli, Werner Heisenberg, Linus Pauling and Hans Bethe became Nobel laureates.In his prologue, Eckert noted that a scientific biography should serve not only as a vehicle to describe and explain scientific processes in a social and cultural context, but must also present “the ambitions, passions, and moral choices of a life in science”. Eckert was able to meet these demands by drawing on Sommerfeld’s personal and .. (shrink)

The late nineteenth century gradually witnessed a liberalization of the kinds of mathematical object and forms of mathematical reasoning permissible in physical argumentation. The construction of theories of units illustrates the slow and difficult spread of new “algebraic” modes of mathematical intelligibility, developed by leading mathematicians from the 1830s onwards, into elementary arithmetical pedagogy, experimental physics, and fields of physical practice like telegraphic engineering. A watershed event in this process was a clash that took place during (...) 1878 between J. D. Everett and James Thomson over the meaning and algebraic manipulation of dimensional formulae. This precipitated the emergence of rival “Maxwellian” and “Thomsonian” approaches towards interpreting and applying “dimensional” equations, which expressed the relationship between derived and fundamental units in an absolute system of measurement. What at first looks like a dispute over a seemingly esoteric mathematical tool for unit conversion turns out to concern Everett’s break with arithmetical algebra in the representation and manipulation of physical quantities. This move prompted a vigorous rebuttal from Thomsonian defenders of an orthodox “arithmetical empiricism” on epistemological, semantic, or pedagogical grounds. Their resistance in Victorian Britain to a shift in mathematical intelligibility is suggestive of the difficult birth of theoretical physics, in which the intermediate steps of a mathematical argument need have no direct physical meaning. (shrink)

The paper explicates the stages of the author’s philosophical evolution in the light of Kopnin’s ideas and heritage. Starting from Kopnin’s understanding of dialectical materialism, the author has stated that category transformations of physics has opened from conceptualization of immutability to mutability and then to interaction, evolvement and emergence. He has connected the problem of physical cognition universals with an elaboration of the specific system of tools and methods of identifying, individuating and distinguishing objects from a scientific theory domain. (...) The role of vacuum conception and the idea of existence (actual and potential, observable and nonobservable, virtual and hidden) types were analyzed. In collaboration with S.Crymski heuristic and regulative functions of categories of substance, world as a whole as well as postulates of relativity and absoluteness, and anthropic and self-development principles were singled out. Elaborating Kopnin’s view of scientific theories as a practically effective and relatively true mapping of their domains, the author in collaboration with M. Burgin have originated the unified structure-nominative reconstruction (model) of scientific theory as a knowledge system. According to it, every scientific knowledge system includes hierarchically organized and complex subsystems that partially and separately have been studied by standard, structuralist, operationalist, problem-solving, axiological and other directions of the current philosophy of science. 1) The logico-linguistic subsystem represents and normalizes by means of different, including mathematical, languages and normalizes and logical calculi the knowledge available on objects under study. 2) The model-representing subsystem comprises peculiar to the knowledge system ways of their modeling and understanding. 3) The pragmatic-procedural subsystem contains general and unique to the knowledge system operations, methods, procedures, algorithms and programs. 4) From the viewpoint of the problem-heuristic subsystem, the knowledge system is a unique way of setting and resolving questions, problems, puzzles and tasks of cognition of objects into question. It also includes various heuristics and estimations (truth, consistency, beauty, efficacy, adequacy, heuristicity etc) of components and structures of the knowledge system. 5) The subsystem of links fixes interrelations between above-mentioned components, structures and subsystems of the knowledge system. The structure-nominative reconstruction has been used in the philosophical and comparative case-studies of mathematical, physical, economic, legal, political, pedagogical, social, and sociological theories. It has enlarged the collection of knowledge structures, connected, for instance, with a multitude of theoreticity levels and with an application of numerous mathematical languages. It has deepened the comprehension of relations between the main directions of current philosophy of science. They are interpreted as dealing mainly with isolated subsystems of scientific theory. This reconstruction has disclosed a variety of undetected knowledge structures, associated also, for instance, with principles of symmetry and supersymmetry and with laws of various levels and degrees. In cooperation with the physicist Olexander Gabovich the modified structure-nominative reconstruction is in the processes of development and justification. Ideas and concepts were also in the center of Kopnin’s cognitive activity. The author has suggested and elaborated the triplet model of concepts. According to it, any scientific concept is a dependent on cognitive situation, dynamical, multifunctional state of scientist’s thinking, and available knowledge system. A concept is modeled as being consisted from three interrelated structures. 1) The concept base characterizes objects falling under a concept as well as their properties and relations. In terms of volume and content the logical modeling reveals partially only the concept base. 2) The concept representing part includes structures and means (names, statements, abstract properties, quantitative values of object properties and relations, mathematical equations and their systems, theoretical models etc.) of object representation in the appropriate knowledge system. 3) The linkage unites a structures and procedures that connect components from the abovementioned structures. The partial cases of the triplet model are logical, information, two-tired, standard, exemplar, prototype, knowledge-dependent and other concept models. It has introduced the triplet classification that comprises several hundreds of concept types. Different kinds of fuzziness are distinguished. Even the most precise and exact concepts are fuzzy in some triplet aspect. The notions of relations between real scientific concepts are essentially extended. For example, the definition and strict analysis of such relations between concepts as formalization, quantification, mathematization, generalization, fuzzification, and various kinds of identity are proposed. The concepts «PLANET» and «ELEMENTARY PARTICLE» and some of their metamorphoses were analyzed in triplet terms. The Kopnin’s methodology and epistemology of cognition was being used for creating conception of the philosophy of law as elaborating of understanding, justification, estimating and criticizing legal system. The basic information on the major directions in current Western philosophy of law (legal realism, feminism, criticism, postmodernism, economical analysis of law etc.) is firstly introduced to the Ukrainian audience. The classification of more than fifty directions in modern legal philosophy is suggested. Some results of historical, linguistic, scientometric and philosophic-legal studies of the present state of Ukrainian academic science are given. (shrink)

We discuss the hints for the disappearance of continuum space and time at microscopic scale. These include arguments for a discrete nature of them or for a fundamental non-locality, in a quantum theory of gravity. We discuss how these ideas are realized in specific quantum gravity approaches. Turning then the problem around, we consider the emergence of continuum space and time from the collective behaviour of discrete, pre-geometric atoms of quantum space, and for understanding spacetime as a kind of “condensate”, (...) and we present the case for this emergence process being the result of a phase transition, dubbed “geometrogenesis”. We discuss some conceptual issues of this scenario and of the idea of emergent spacetime in general. As a concrete example, we outline the GFT framework for quantum gravity, and illustrate a tentative procedure for the emergence of spacetime in this framework. Last, we re-examine the conceptual issues raised by the emergent spacetime scenario in light of this concrete example. (shrink)

The investigation of condensed matter transformations hinges on the precision of free-energy calculations. This article charts the evolution of molecular simulations, tracing their development from the techniques of the early 1960s, through the emergence of free-energy calculations toward the end of the decade, and leading to the advent of umbrella sampling in 1977. The discussion explores the inherent challenges and limitations of early simulational endeavors, such as the struggle with accurate phase-space sampling and the need for innovative solutions like importance (...) sampling and multistage sampling methods. Taken together, the initial hurdles and subsequent adoption of advanced techniques exemplify the leap from analytical methods to effective computational strategies that enabled more reliable simulations. Further analysis of this narrative reveals the methodological breakthroughs as well as the setbacks that transformed the theoretical and practical understanding of condensed matter phenomena. A follow-up study will examine the shifts in free-energy calculations from the late 1970s into the 1980s. (shrink)

Against the backdrop of a recent history of ongoing efforts to institutionalize ethics in ways that also target corporate environments, we asked ourselves: How do company representatives at the automatica 2022 trade fair in Munich respond to questions around ethics? To this end, we started an exploratory survey at the automatica 2022 in Munich, asking 22 company representatives at various booths from various industrial sectors the basic question: “Is there somebody in your company working on ethics?” Most representatives (...) were responding positively and tried to connect the term to pre-existing practices, processes, or organizational entities in their respective companies. Mostly, they either located ethics as being relevant to their organization on an institutional level, on a cultural level, on an inter-company level, or on a product level. This exploratory investigation has also shown that the ongoing debates and regulatory efforts about ethics in AI have not yet become a major selling point for company representatives at the trade fair. (shrink)

We scan Paul K. Feyerabend's work in philosophy of physics and of science more generally for insights that could be useful for the contemporary debate on the foundations of quantum mechanics. We take as our starting point what Feyerabend has actually written about quantum mechanics, but we extend our analysis to his general views on realism, objectivity, pluralism, and the relation between physics and philosophy, finding that these more general views could in fact offer many interesting (...) insights for physicists and philosophers working on quantum foundations. (shrink)

Whether meaning is compositional has been a major issue in linguistics and formal philosophy of language for the last 2 decades. Semantic holism is widely and plausibly considered as an objection to the principle of semantic compositionality therein. It comes as a surprise that the holistic peculiarities of scientific language have been rarely addressed in formal accounts so far, given that semantic holism has its roots in the philosophy of science. For this reason, a model-theoretic approach to semantic (...) holism in the language of science is presented here. This approach preserves compositionality to a large extent. *Received September 2009; revised February 2010. †To contact the author, please write to: Seminar for Philosophy, Logic, and Theory of Science, Hauspostfach 49, Ludwig-Maximilians-Universität, Munich 80539, Germany; e-mail: holger.andreas@lrz.uni-muenchen.de. (shrink)

In this paper, we propose a regularity theory of causation. The theory aims to be reductive and to align with our pre‐theoretic understanding of the causal relation. We show that our theory can account for a wide range of causal scenarios, including isomorphic scenarios, omissions, and scenarios which suggest that causation is not transitive.

We discuss the challenges that the standard (Humean and non-Humean) accounts of laws face within the framework of quantum gravity where space and time may not be fundamental. This paper identifies core (meta)physical features that cut across a number of quantum gravity approaches and formalisms and that provide seeds for articulating updated conceptions that could account for QG laws not involving any spatio-temporal notions. To this aim, we will in particular highlight the constitutive roles of quantum entanglement, quantum transition amplitudes (...) and quantum causal histories. These features also stress the fruitful overlap between quantum gravity and quantum information theory. (shrink)

The history and philosophy of science are destined to play a fundamental role in an epoch marked by a major scientific revolution. This ongoing revolution, principally affecting mathematics and physics, entails a profound upheaval of our conception of space, space–time, and, consequently, of natural laws themselves. Briefly, this revolution can be summarized by the following two trends: by the search for a unified theory of the four fundamental forces of nature, which are known, as of now, as gravity, (...) electromagnetism, and strong and weak nuclear forces; by the search for new mathematical concepts capable of elucidating and therefore explaining such a relationship. In fact, the first search is essentially dependent on the second; that is to say, that in order for a new theory of physics to come to light, the development of a deeper geometric theory capable of explaining the structure of space–time on a quantum scale appears to be necessary. On careful consideration, we notice that both of these developments converge in the direction of a unitary and fundamental tendency of modern science—which is the geometrization of theoretical physics and of natural sciences. This new emergent situation carries within it a profound conceptual change, affecting the way in which relations are conceived of, first and foremost, between mathematics and physics. This new paradigm can be summed up by the intimately interdependent points: the immense variety of physical phenomena and of natural forms follows from the equally infinite variety of geometric and topological objects that can be made out in space and from which space is made up; the second point, which ensues from the former one and which is of great historical and epistemological significance, is that mathematics is involved in rather than applied to phenomena. In other words, phenomena are effects that emerge from the geometrical structure of space–time. There is no doubt that this new conception of the relationship between the universe of mathematical ideas and objects and the world of natural phenomena is the true scientific revolution of our century, of great conceptual importance, and consequently, capable of changing our view of science and of nature at one and the same time. It is all at once of a scientific, philosophical and aesthetic order. (shrink)

Mathematical models are a well established tool in most natural sciences. Although models have been neglected by the philosophy of science for a long time, their epistemological status as a link between theory and reality is now fairly well understood. However, regarding the epistemological status of mathematical models in the social sciences, there still exists a considerable unclarity. In my paper I argue that this results from specific challenges that mathematical models and especially computer simulations face (...) in the social sciences. The most important difference between the social sciences and the natural sciences with respect to modeling is that in the social sciences powerful and well confirmed background theories (like Newtonian mechanics, quantum mechanics or the theory of relativity in physics) do not exist in the social sciences. Therefore, an epistemology of models that is formed on the role model of physics may not be appropriate for the social sciences. I discuss the challenges that modeling faces in the social sciences and point out their epistemological consequences. The most important consequences are that greater emphasis must be placed on empirical validation than on theoretical validation and that the relevance of purely theoretical simulations is strongly limited. (shrink)

In the early phase of the new history of physics that emerged at about 1970 and was pioneered by John Heilbron, Thomas Kuhn, Paul Forman, and others, the quantum and atomic theories of the first three decades of the twentieth century played a central role. Since then, interest in the area has continued, but for the last few decades at a slower rate. While other areas of the new physics—such as the general theory of relativity—have attracted much attention, (...) only relatively little has been written about the quantum revolution. Given this situation, Suman Seth’s comprehensive and innovative Crafting the Quantum is a welcome publication that provides the field with fresh blood and new perspectives. The title derives from a letter to Einstein of January 1922, in which Arnold Sommerfeld wrote that “I can only advance the craft of the quantum, you have to make its philosophy.” In spite of its title, Seth’s book is neither restricted to the new quantum theory nor to Sommerfeld’s role in the tr. (shrink)

Many mathematicians, physicists, and philosophers have suggested that the fact that mathematics—an a priori discipline informed substantially by aesthetic considerations—can be applied to natural science is mysterious. This paper sharpens and responds to a challenge to this effect. I argue that the aesthetic considerations used to evaluate and motivate mathematics are much more closely connected with the physical world than one might presume, and (with reference to case-studies within Galois theory and probabilistic number theory) show that they are correlated with (...) generally recognized theoretical virtues, such as explanatory depth, unifying power, fruitfulness, and importance. (shrink)

The philosophical problem that stems from the successful application of mathematics in the empirical sciences has recently attracted growing interest within philosophers of mathematics and philosophers of science. Nevertheless, little attention has been devoted to the converse applicability issue of how physical considerations find successful application in mathematics. In this article, focusing on some case studies, I address the latter issue and argue that some successful applications of physics to mathematics essentially depend on the use of conservation principles. I (...) conclude with a short discussion of how the successful interplay between conservation principles and mathematics can be accounted for. (shrink)

Arnold Sommerfeld was among the most important students of the so-called ‘older’ quantum theory. His many contributions included papers in 1915 and 1916 extending Niels Bohr’s ‘planetary’ model of the atom beyond circular orbits and his incorporation of relativistic corrections in order to explain hydrogenic fine structure. Originally a realist in his use of Bohr’s model, Sommerfeld became increasingly disillusioned with model-building in general in the late nineteen-teens and early nineteen-twenties. This paper explores Sommerfeld’s use of (...) the term Zahlenmysterium as a self-description of his physical methodology. Rather than reading talk of mysticism as mere pandering to irrationalist forces in Weimar Germany, as some have suggested, I argue that one should see it as a genuine description of the scientific method Sommerfeld increasingly advocated throughout this period. That is, Sommerfeld drew upon and modified talk of Mystik as a means of expressing his own ideas on the importance of aesthetics in what might otherwise be cast as mere guesswork in his phenomenological spectroscopy. Mysticism, properly defined, was an integral part of what Sommerfeld termed die Technik der Quanten.Keywords: Quantum theory; Arnold Sommerfeld; Theoretical physics; Spectroscopy; Phenomenology; Theoretical practice. (shrink)

Perhaps the question “What is philosophy?” can only be posed late in life, when old age has come, and with it the time to speak in concrete terms. It is a question one poses when one no longer has anything to ask for, but its consequences can be considerable. One was asking the question before, one never ceased asking it, but it was too artificial, too abstract; one expounded and dominated the question, more than being grabbed by it. There (...) are cases in which old age bestows not an eternal youth, but on the contrary a sovereign freedom, a pure necessity where one enjoys a moment of grace between life and death, and where all the parts of the machine combine to dispatch into the future a trait that traverses the ages: Turner, Monet, Matisse. The elderly Turner acquired or conquered the right to lead painting down a deserted path from which there was no return, and that was no longer distinguishable from a final question. In the same way, in philosophy, Kant’s Critique of Judgment is a work of old age, a wild work from which descendants will never cease to flow.We cannot lay claim to such a status. The time has simply come for us to ask what philosophy is. And we have never ceased to do this in the past, and we already had the response, which has not varied: philosophy is the art of forming, inventing, and fabricating concepts. But it was not only necessary for the response to take note of the question; it also had to determine a time, an occasion, the circumstances, the landscapes and personae, the conditions and unknowns of the question. One had to be able to pose the question “between friends” as a confidence or a trust, or else, faced with an enemy, as a challenge, and at the same time one had to reach that moment, between dog and wolf, when one mistrusts even the friend. Gilles Deleuze was professor of philosophy at the University of Paris VIII, Vincennes-St.-Denis, until his retirement in 1987. Among his books translated into English are the two-volume Capitalism and Schizophrenia , the two-volume Cinema , The Logic of Sense , and Expressionism in Philosophy: Spinoza . Daniel W. Smith is a doctoral candidate in philosophy at the University of Chicago. He is at work on a study of the philosophy of Deleuze, and is translating Deleuze’s Francis Bacon: Logique de la sensation. Arnold I. Davidson, executive editor of Critical Inquiry, teaches philosophy at the University of Chicago and is currently Marta Sutton Weeks Fellow at the Stanford Humanities Center. (shrink)

A commonly held background assumption about the sciences is that they connect along borders characterized by ontological or explanatory relationships, usually given in the order of mathematics, physics, chemistry, biology, psychology, and the social sciences. Interdisciplinary work, in this picture, arises in the connecting regions of adjacent disciplines. Philosophical research into interdisciplinary model transfer has increasingly complicated this picture by highlighting additional connections orthogonal to it. But most of these works have been done through case studies, which due to (...) their strong focus struggle to provide foundations for claims about large-scale relations between multiple scientific disciplines. As a supplement, in this contribution, we propose to philosophers of science the use of modern science mapping techniques to trace connections between modeling techniques in large literature samples. We explain in detail how these techniques work, and apply them to a large, contemporary, and multidisciplinary data set (n=383.961 articles). Through the comparison of textual to mathematical representations, we suggest formulaic structures that are particularly common among different disciplines and produce first results indicating the general strength and commonality of such relationships. (shrink)

Philosophy of biology is often said to have emerged in the last third of the twentieth century. Prior to this time, it has been alleged that the only authors who engaged philosophically with the life sciences were either logical empiricists who sought to impose the explanatory ideals of the physical sciences onto biology, or vitalists who invoked mystical agencies in an attempt to ward off the threat of physicochemical reduction. These schools paid little attention to actual biological science, and (...) as a result philosophy of biology languished in a state of futility for much of the twentieth century. The situation, we are told, only began to change in the late 1960s and early 1970s, when a new generation of researchers began to focus on problems internal to biology, leading to the consolidation of the discipline. In this paper we challenge this widely accepted narrative of the history of philosophy of biology. We do so by arguing that the most important tradition within early twentieth-century philosophy of biology was neither logical empiricism nor vitalism, but the organicist movement that flourished between the First and Second World Wars. We show that the organicist corpus is thematically and methodologically continuous with the contemporary literature in order to discredit the view that early work in the philosophy of biology was unproductive, and we emphasize the desirability of integrating the historical and contemporary conversations into a single, unified discourse. (shrink)

Footnote: My thanks to Zvi Biener and Balazs Gyenis for comments. 1. What is the relationship between philosophy and physics? What should the relationship be? To someone who does not work in philosophy of physics, it can be hard to distinguish what a theoretical physicist does from what a philosopher of physics does. The differences lie in two areas: their goals and their methods. The highest goal of theoretical physicists is to find the (...) next theory. That profoundly colors the way they approach foundational ideas. Any idea that aids in finding the next theory is deemed useful. Sometimes the most suggestive ideas are so because they are on the edge of plausibility. However if they show promise of opening new pathways, physicists are quite willing to suspend critical scrutiny. There is no point abandoning a goose about to lay a golden egg because you suspect it may be a turkey! Gold is gold. As a result they may put up with what seems like patent nonsense to a philosopher. For philosophers of physics, the goal is different. The basic questions remain those asked by philosophers for milennia: What is the nature of space? What is the nature of time? What is the nature of matter? How are things in the world connected? And so on. They seek answers from our best understanding of space, time and matter -modern physics. There is no room for tolerance of fringe thinking for that would compromise the project. They ask: What is our understanding now on the basis of our best science? Philosophy of physics also differs from physics in its method. Philosopher of physics bring the sensibilities of philosophy to physics. To those outside physics, philosophy is synonymous with gazing in wonder at intractable mysteries. To the professional philosopher, the project is just the reverse. It is to take things that are conceptually puzzling and, through rigorous analysis, render them simple and transparent so that the original sense of mystery evaporates. Their method looks to the traditional demands of philosophy that theses must be clearly enunciated and defended by clear and cogent argumentation; and that these demands cannot be compromised.. (shrink)

In the last couple of years a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the question what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e. explanations that don’t cite causes in the explanans) sometimes take a form of the question what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and in virtue (...) of what they are explanatory. These questions raise further issues about counterfactuals, modality and explanatory asymmetries, i.e. do mathematical and non-causal explanations support counterfactuals, and how to understand explanatory asymmetries in non-causal explanations. Even though these are very common issues in the philosophy of physics and mathematics, they can be found in different guises in the philosophy of biology, where there is the statistical interpretation of the Modern Synthesis theory of evolution, according to which the post-Darwinian theory of natural selection explains evolutionary change by citing statistical properties of populations and not the causes of changes. These questions also arise in philosophy of ecology or neuroscience in regard to the nature of topological explanations. The question here is whether in network models in biology, ecology, neuroscience and computer science the mathematical or more precisely topological properties can be explanatory of physical phenomena, or they are just different ways to represent causal structures. The aim of the special issue is to unify all these debates around several overlapping questions. (shrink)

Salomon Maimon argued forcefully for the indispensability of what he called “the method of fictions” in mathematics and physics, but also in philosophy. This last claim provoked critical responses from G. E. Brastberger, G. E. Schultze, and K. L. Reinhold. This paper offers a brief exposition of Maimon's “method of fictions” and an analysis of his response to critics of his claims concerning the employment of this method within philosophy.

The analysis of theory-confirmation generally takes the deductive form: show that a theory in conjunction with physical data and auxiliary hypotheses yield a prediction about phenomena; verify the prediction; provide a quantitative measure of the degree of theory-confirmation this yields. The issue of confirmation for an entire framework (e.g., Newtonian mechanics en bloc, as opposed, say, to Newton’s theory of gravitation) either does not arise, or is dismissed in so far as frameworks are thought not to be the kind of (...) thing that admits scientific confirmation. I argue that there is another form of scientific reasoning that has not received philosophical attention, what I call Newtonian abduction, that does provide confirmation for frameworks as a whole, and does so in two novel ways. (In particular, Newtonian abduction is not inference to the best explanation, but rather is closer to Peirce’s original idea of abduction.) I further argue that Newtonian abduction is at least as important a form of reasoning in science as standard deductive and inductive forms. The form is beautifully summed up by Maxwell (Proc Camb Philos Soc II:292–294, 1876): “The true method of physical reasoning is to begin with the phenomena and to deduce the forces from them by a direct application of the equations of motion.”. (shrink)

The History and Philosophy of Science: A Reader brings together seminal texts from antiquity to the end of the nineteenth century and makes them accessible in one volume for the first time. With readings from Aristotle, Aquinas, Copernicus, Galileo, Descartes, Newton, Lavoisier, Linnaeus, Darwin, Faraday, and Maxwell, it analyses and discusses major classical, medieval and modern texts and figures from the natural sciences. Grouped by topic to clarify the development of methods and disciplines and the unification of theories, each (...) section includes an introduction, suggestions for further reading and end-of-section discussion questions, allowing students to develop the skills needed to: § read, interpret, and critically engage with central problems and ideas from the history and philosophy of science § understand and evaluate scientific material found in a wide variety of professional and popular settings § appreciate the social and cultural context in which scientific ideas emerge § identify the roles that mathematics plays in scientific inquiry Featuring primary sources in all the core scientific fields - astronomy, physics, chemistry, and the life sciences - The History and Philosophy of Science: A Reader is ideal for students looking to better understand the origins of natural science and the questions asked throughout its history. By taking a thematic approach to introduce influential assumptions, methods and answers, this reader illustrates the implications of an impressive range of values and ideas across the history and philosophy of Western science. (shrink)

We analyze the effects of the introduction of new mathematical tools on an old branch of physics by focusing on lattice fluids, which are cellular automata -based hydrodynamical models. We examine the nature of these discrete models, the type of novelty they bring about within scientific practice and the role they play in the field of fluid dynamics. We critically analyze Rohrlich's, Fox Keller's and Hughes' claims about CA-based models. We distinguish between different senses of the predicates “phenomenological” (...) and “theoretical” for scientific models and argue that it is erroneous to conclude, as they do, that CA-based models are necessarily phenomenological in any sense of the term. We conversely claim that CA-based models of fluids, though at first sight blatantly misrepresenting fluids, are in fact conservative as far as the basic laws of statistical physics are concerned and not less theoretical than more traditional models in the field. Based on our case-study, we propose a general discussion of the prospect of CA for modeling in physics. We finally emphasize that lattice fluids are not just exotic oddities but do bring about new advantages in the investigation of fluids' behavior. (shrink)

In the last couple of years, a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the questions what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e., explanations that don’t cite causes in the explanans) sometimes take a form of the question of what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and in (...) virtue of what they are explanatory. These questions raise further issues about counterfactuals, modality, and explanatory asymmetries: i.e., do mathematical and non-causal explanations support counterfactuals, and how ought we to understand explanatory asymmetries in non-causal explanations? Even though these are very common issues in the philosophy of physics and mathematics, they can be found in different guises in the philosophy of biology where there is the statistical interpretation of the Modern Synthesis theory of evolution, according to which the post-Darwinian theory of natural selection explains evolutionary change by citing statistical properties of populations and not the causes of changes. These questions also arise in philosophy of ecology or neuroscience in regard to the nature of topological explanations. The question here is can the mathematical (or more precisely topological) properties in network models in biology, ecology, neuroscience, and computer science be explanatory of physical phenomena, or are they just different ways to represent causal structures. The aim of this special issue is to unify all these debates around several overlapping questions. These questions are: are there genuinely or distinctively mathematical and non-causal explanations?; are all distinctively mathematical explanations also non-causal; in virtue of what they are explanatory; does the instantiation, implementation, or in general, applicability of mathematical structures to a variety of phenomena and systems play any explanatory role? This special issue provides a platform for unifying the debates around several key issues and thus opens up avenues for better understanding of mathematical and non-causal explanations in general, but also, it will enable even better understanding of key issues within each of the debates. (shrink)

Mathematics textbooks teach logical reasoning by example, a practice started by Euclid; while logic textbooks treat logic as a subject in its own right without practical application to mathematics. Stuck in the middle are students seeking mathematical proficiency and educators seeking to provide it. To assist them, the article explains in practical detail how to teach logic-based skills such as: making mathematical reasoning fully explicit; moving from step to step in a mathematical proof in logically correct ways; (...) and checking to make sure inferences are logically correct. The methodology can easily be extended beyond the four examples analyzed. (shrink)

Until today, an externally imposed epistemological paradigm is dominant in most educational curricula at universities in Africa. Despite ongoing Eurocentrism and Western hegemony in mainstream agricultural trainings in Africa, Indigenous knowledge on agriculture still exists: it has been preserved for generations by farmers and wise elders in rural communities who often are knowledge authorities on African agrarian Indigenous knowledge, values and practices. An imposed epistemological paradigm on the African continent reinforces epistemic injustice by dominating and ignoring Indigenous African ways of (...) doing and knowing, which is deeply dehumanizing. Inspired by Paulo Freire’s ‘humanising pedagogy’ and Mogobe Ramose’s call for mothofatso in human relations, we explore a re-humanising pedagogy for African agrarian philosophy, which addresses the following questions: Can African agrarian philosophy contribute to re-humanization by reviving and restoring Indigenous agricultural knowledge, values and practices? If so, what pedagogy and educational methods are appropriate? In search for answers to these questions, we reflect on a two-week educational program on an endogenous approach to community resilience in Ghana, as a pedagogy that is emerging. In doing so, the chapter is firmly rooted in African soil, both practically—through trainings in Ghana—and theoretically—through African agrarian philosophy. By connecting educational experiences with insights from theory, seven themes for a pedagogy for African agrarian philosophy come to the front: an African agrarian philosophy with memory; a dialogical student–teacher relation; the value of lived experiences; intergenerational and spiritual methods of education; relationality of human beings and Mother Earth; unity between theory and practice; critical consciousness about people’s rights. The thesis defended is that African agrarian philosophy is without relevance if it remains a theoretical exercise that is not developed and put to use with farmers, wise elders and youth in the communities. Instead, when combined with a re-humanising pedagogy, African agrarian philosophy can contribute to reconnecting and reviving African agricultural knowledge, values and practices, which subsequently contributes to transforming African food systems that heals the environment and produces enough food to feed communities. (shrink)

From its dissonant musics to its surrealist spectacles (the urinal is a violin!), Modernist art often seems to give more frustration than pleasure to its audience. In Untwisting the Serpent, Daniel Albright shows that this perception arises partly because we usually consider each art form in isolation, even though many of the most important artistic experiments of the Modernists were collaborations involving several media--Igor Stravinsky's The Rite of Spring is a ballet, Gertrude Stein's Four Saints in Three Acts is an (...) opera, and Pablo Picasso turned his cubist paintings into costumes for Parade. Focusing on collaborations with a musical component, Albright views these works as either figures of dissonance that try to retain the distinctness of their various media (e.g. Guillaume Apollinaire's Les Mamelles de Tiresias ) or figures of consonance that try to lose themselves in some total effect (e.g. Arnold Schoenberg's Erwartung ). In so doing he offers a fresh picture of Modernism, and provides a compelling model for the analysis of all artistic collaborations. Untwisting the Serpent is the recipient of the 2001 Susanne M. Glasscock Humanities Book Prize for Interdisciplinary Scholarship of the Center for Humanities Research at Texas A&M University. (shrink)

Timothy Williamson is mainly right, I think. He defends armchair philosophy as a variety of armchair science, like mathematics, or computer modeling in evolutionary theory, economics, statistics, and I agree that this is precisely what philosophy is, at its best: working out the assumptions and implications of any serious body of thought, helping everyone formulate the best questions to ask, and then leaving the empirical work to the other sciences. Philosophy – at its best – is to (...) other inquiries roughly as theoretical physics is to experimental physics. You can do it in the armchair, but you need to know a lot about the phenomena with which the inquiry deals. (shrink)

Despite the efforts of many individuals, the disciplines of modern physics and number theory have remained largely divorced, in the sense that the experimentally verified theories of quantum physics and gravity are written in the language of linear algebra and advanced calculus, without reference to several established branches of pure mathematics. This absence raises questions as to whether or not pure mathematics has undiscovered application to physical modeling that could have far reaching implications for human scientific understanding. In (...) this paper, we review physical interpretations of number theoretic concepts developed in the twentieth century, in an attempt to help bridge the divide between pure mathematical truth and testable physical theory. Specifically, the relevance of L-functions and modular forms to the physics of quantum and classical physical systems is addressed, with the objective of motivating general interest among physicists in these mathematical concepts. (shrink)

Since the Fall of 1993, at the Centre Interdisciplinaire de Recherche sur l'Apprentissage et le D/span>veloppement en /span>ducation of the Universit/span> du Qu/span>bec /span> Montr/span>al, two mathematicians and one philosopher have collaborated to design and develop a research project involving philosophy, mathematics and sciences. Previous observations in the classroom had led the researchers to realize that, within the school curriculum, children like some subject matters and dislike others. Most of them usually succeed in arts, physical education and language arts, (...) but many have difficulties in succeeding in mathematics. Why? On the one hand, as Matthew Lipman advocates, the school curricula are not sufficiently "meaningful" for children. On the other hand, some studies in the field of mathematics suggest that there are myths and prejudices about mathematics in primary schools and that the school system is partly responsible for this. Indeed, the school system does not invite children to express emotions in class about mathematics nor does it favor creativity. It does not allow dialogue among peers about mathematical concepts and problems, nor the construction of mathematical knowledge by the students themselves. (shrink)

Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing experimentally observable properties of probability distributions for the outcome of measurements. Axioms I, II, III are common to quantum mechanics and hidden variable theories. Axiom IV recognizes a phenomenon, first noted by von Neumann (in Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1955) and independently by Turing (Teuscher and Hofstadter, Alan Turing: Life and Legacy of a Great Thinker, Springer, (...) Berlin, 2004), in which the increase in entropy resulting from a measurement is reduced by a suitable intermediate measurement. This is shown to be impossible for local hidden variable theories. Axiom IV, together with the first three, almost suffice to deduce the conventional rules but allow some exotic, alternatives such as real or quaternionic quantum mechanics. Axiom V recognizes a property of the distribution of outcomes of random measurements on qubits which holds only in the complex Hilbert space model. It is then shown that the five axioms also imply the conventional rules for any finite dimension. (shrink)

FAR FROM BEING A PURELY ESOTERIC CONCERN of theoretical mathematicians, the examination of the ontological status of mathematical entities, I submit, has far-reaching implications for a very practical area of knowledge, namely, the method of science in general, and of physics in particular. Although physics and mathematics have since Newton's second derivative been inextricably wedded, modern physics has a particularly mathematical dependence. Physics has moved and continues to move further away from the possibility (...) of direct empirical verification, primarily because of the increasingly complex logistical problems of experimentation within the parameters of the very large and of the very small. As certain areas become more and more theoretical, with developments of this century in astrophysics, cosmology, and quantum mechanics, and more specifically, with the postulation of new hypothetical elementary particles based almost exclusively upon mathematical data, physics is forced to depend increasingly upon mathematics as a method for verifying physical possibility. Typically, a mathematical formulation descriptive of an empirically established phenomenon x is manipulated and made subject to derivation on the assumption that the new formulation will continue to correspond with physical reality, and may even yield new information about the phenomenon's behavior. Why, however, should a coherence between the empirically-defined world and mathematical processes be assumed? This coherence is, above all, dependent upon a hidden metaphysically strong presupposition about the ontological status of mathematical entities and their systems. (shrink)

In this paper I present two cases, taken from the history of science, in which mathematics and physics successfully interplay. These cases provide, respectively, an example of the successful application of mathematics in astronomy and an example of the successful application of mechanics in mathematics. I claim that an illustration of these cases has a twofold value in the context of the applicability debate. First, it enriches the debate with an historical perspective which is largely omitted in the contemporary (...) discussion. Second, it reveals a component of the applicability problem that has received little attention. This component concerns the successful application of physical principles in mathematical practice. With the help of the two examples, in the final part of the paper I address the following question: are successful applications of mathematics to physics and successful applications of physics to mathematics two sides of the same problem? (shrink)

This book is a collection of contributions written by philosophers and scientists active in different fields, such as mathematics, logics, social sciences, computer sciences and linguistics. They comment on and discuss various parts of and subjects and propositions introduced in the Handbook of Analytical Philosophy of Medicine from Kadem Sadegh-Zadeh, published by Springer in 2012. This volume reports on the fruitful exchange and debate that arose in the fuzzy community upon the publication of the Handbook. This was not only (...) very much appreciated by the community but also seen as a critical starting point for beginning a new discussion. The results of this discussion, which involved many different perspectives from science and the humanities and was warmly encouraged by Kadem Sadegh-Zadeh himself, are accurately reported in this volume, which is intended to be a critical companion to Kadem Sadegh-Zadeh ́s handbook. Rudolf Seising is currently an adjunct researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain) and a college lecturer at the Faculty of History and Arts, at the Ludwig Maximilians University of Munich (Germany). Marco Elio Tabacchi is currently the Scientific Director of the Italian National Research & Survey Organization Demopolis, and a research assistant in the Soft Computing Group at University of Palermo (Italy). (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 40.2 (2006) 105-117 [Access article in PDF] Art and Failure Daniel A. Siedell Sheldon Memorial Art Gallery and Sculpture Garden The Genius Decision: The Extraordinary and the Postmodern Condition, by Klaus Ottmann. Putnam, CT: Spring Publications, 2004, 181 pp., $18.50 paperback. Random Order: Robert Rauschenberg and the Neo-Avant-Garde, by Branden Joseph. Cambridge, MA: MIT Press, 2003, 450 pp., $34.95 hardcover. The most optimistic ethics (...) have all begun by emphasizing the element of failure involved in the condition of man; without failure, no ethics. Simone de Beauvoir, The Ethics of Ambiguity1Failure is an inescapable part of the human condition. It is also an inescapable part of extraordinary human achievement. In fact, it is because failure is woven so deeply into their fabric that makes certain endeavors, like the arts, philosophy, science, and even sports, so extraordinary, so compelling, and ultimately so meaningful. There is therefore a close—but often underexamined—connection between extraordinary achievement and failure in the history of the arts and culture in the West. Two very different books, one a work of philosophy and the other a work of art history, converge on the presence of failure in extraordinary human achievement. New York-based art critic and independent curator Klaus Ottmann offers a philosophical study of genius from a postmodern perspective entitled The Genius Decision: The Extraordinary and the Postmodern Condition. Art historian Branden Joseph, who is assistant professor at the University of California-Irvine, offers a revisionist interpretation of Robert Rauschenberg's aesthetic project in Random Order: Robert Rauschenberg and the Neo-Avant-Garde. The Genius Decision offers an illuminating philosophical framework within which to read Random Order.Ottmann begins his study with the following question: "How does one account for those extraordinary and exceptional works of art and literature that set one artist apart from the others; works that most artists, however skilled, would never be able to produce; that exert great influence on others" (13). Ottmann answers this question by interpreting the work of Franz Kafka, [End Page 105] Spinoza, Søren Kierkegaard, Friederich Nietzsche, Ludwig Wittgenstein, and Martin Heidegger through a postmodernist lens provided in part by Jean-François Lyotard, Julia Kristeva, and other theorists. For example, he reads Kafka through Gilles Deleuze and Félix Guattari; Spinoza's Ethics through Deleuze; Kierkegaard through Adorno; Nietzsche through Derrida, Jean-Luc Nancy, and Heidegger; and Wittgenstein through P. M. S. Hacker. Foundational for Ottmann's thesis is theorist Julia Kristeva's concept of the Abject and its relationship to Jouissance—meaning "enjoyment," often connoting a sensual, even sexual pleasure—which has entered philosophical discourse via literary theorist Roland Barthes and psychoanalyst Jacques Lacan. For Kristeva, the Abject is the pressing of the "Unrepresentable" that requires a "sacrifice" of Jouissance; that is, a leap toward or a response to the inability to represent or give adequate form to this primordial ground of pure experiential bliss. For Ottmann, extraordinary achievement in art and philosophy consists of intentional and absolute leaps into certain failure in giving representation to what cannot be represented—despite its impossibility. This is what Ottmann calls the "Genius Decision." In contrast to passive explanations of extraordinary achievement, such as "accidental genius" and "physical genius," in which the individual can claim fortuitous circumstances or innate talent, the Genius Decision involves intentionality; it is a "decision" of some kind. But what kind of decision is it? Ottmann argues that it is an "active-passive" one. He then analyzes each of these influential thinkers as offering unique manifestations of the Genius Decision in their attempt to represent the Unrepresentable.Key to the Abject-Jouissance relationship is Ottmann's understanding of postmodernism. Rather than viewing it as a historical movement, Ottmann, following Jean-François Lyotard, regards it as a "condition," that is, as a nascent state within modernism. Ottmann characterizes the modern as recognizing and dwelling in the Abject, while the postmodern leaves the ambiguity of the Abject behind for the "certainty of failure" (49). The Genius Decision, then, comes out of a postmodern awareness of the impossibility of its... (shrink)

During the academic year 1940-1941, several giants of analytic philosophy congregated at Harvard, holding regular private meetings, with Carnap, Tarski, and Quine. Carnap, Tarski, and Quine at Harvard allows the reader to act as a fly on the wall for their conversations. Carnap took detailed notes during his year at Harvard. This book includes both a German transcription of these shorthand notes and an English translation in the appendix section. Carnap’s notes cover a wide range of topics, but surprisingly, (...) the most prominent question is: If the number of physical items in the universe is finite, what form should scientific discourse take? This question is closely connected to an abiding philosophical problem: What is the relationship between the logico-mathematical realm and the material realm? Carnap, Tarski, and Quine’s attempts to answer this question involve issues central to philosophy today.This book focuses on three such issues: nominalism, the unity of science, and analyticity. In short, the book reconstructs the lines of argument represented in these Harvard discussions, discusses their historical significance (especially Quine’s break from Carnap), and relates them when possible to contemporary treatments of these issues. (shrink)

In non-causal explanations, some non-causal facts (such as mathematical, modal or metaphysical) are used to explain some physical facts. However, precisely because these explanations abstract away from causal facts, they face two challenges: 1) it is not clear why would one rather than the other non-causal explanantia be relevant for the explanandum; and 2) why would standing in a particular explanatory relation (e.g., “counterfactual dependence”, “constraint”, “entailment”, “constitution”, “grounding”, and so on), and not in some other, be explanatory. I (...) develop an explanatory relevance account which is based on erotetic constraints and show how it addresses these two challenges. (shrink)

I characterize Bishop's constructive mathematics as an alternative to classical mathematics, which makes use of the actual infinity. From the history an accurate investigation of past physical theories I obtianed some ones - mainly Lazare Carnot's mechanics and Sadi Carnot's thermodynamics - which are alternative to the dominant theories - e.g. Newtopn's mechanics. The way to link together mathematics to theoretical physics is generalized and some general considerations, in particualr on the geoemtry in theoretical physics, are (...) obtained.that. (shrink)

Despite quantum theory’s remarkable success at predicting the statistical results of experiments, many philosophers worry that it nonetheless lacks some crucial connection between theory and experiment. Such worries constitute the Quantum Measurement Problems. One can broadly identify two kinds of worries: (1) pragmatic: it is unclear how to model our measurement processes in order to extract experimental predictions, and (2) realist: we lack a satisfying metaphysical account of measurement processes. While both issues deserve attention, the pragmatic worries have worse consequences (...) if left unanswered: If our pragmatic theory-to-experiment linkage is unsatisfactory, then quantum theory is at risk of losing both its evidential support and its physical salience. Avoiding these risks is at the core of what I will call the Pragmatic Measurement Problem. Fortunately, the pragmatic measurement problem is not too difficult to solve. For non-relativistic quantum theory, the story goes roughly as follows: One can model each of quantum theory’s key experimental successes on a case-by-case basis by using a measurement chain. In modeling this measurement chain, it is pragmatically necessary to switch from using a quantum model to a classical model at some point. That is, it is pragmatically necessary to invoke a Heisenberg cut at some point along the measurement chain. Past this case-by-case measurement framework, one can then strive for a wide-scoping measurement theory capable of modeling all (or nearly all) possible measurement processes. For non-relativistic quantum theory, this leads us to our usual projective measurement theory. As a bonus, proceeding this way also gives us an empirically meaningful characterization of the theory’s observables as (positive) self-adjoint operators. But how does this story have to change when we move into the context of quantum field theory (QFT)? It is well known that in QFT almost all localized projective measurements violate causality, allowing for faster-than-light signaling; These are Sorkin’s impossible measurements. Thus, the story of measurement in QFT cannot end as it did before with a projective measurement theory. But does this then mean that we need to radically rethink the way we model measurement processes in QFT? Are our current experimental practices somehow misguided? Fortunately not. I will argue that (once properly understood) our old approach to modeling quantum measurements is still applicable in QFT contexts. We ought to first use measurement chains to build up a case-by-case measurement framework for QFT. Modeling these measurement chains will require us to invoke what I will call a QFT-cut. That is, at some point along the measurement chain we must switch from using a QFT model to a non-QFT model. Past this case-by-case measurement framework, we can then strive for both a new wide-scoping measurement theory for QFT and an empirically meaningful characterization of its observables. It is at this point that significantly more theoretical work is needed. This paper ends by briefly reviewing the state of the art in the physics literature regarding the modeling of measurement processes involving quantum fields. (shrink)

David Lewis’s work in the past few decades produced a powerful and thought-provoking system, and this collection of eleven essays represents state-of-the-art engagement with that system across a range of topics. The title would suggest that the papers would deal in particular with Lewis’s doctrine of Humean supervenience, the doctrine that all the contingent truths are ultimately determined by instantiations of fundamental categorical properties at points of space-time, and the spatiotemporal relationships between those instantiations: that everything in our world supervenes (...) on “local, particular matters of fact.” It is a bold philosophical program, with a reductionist approach to our everyday theoretical commitments and a goal of explaining the connections between the mental and the physical, laws and regularities, causes and effects, and chances and their outcomes, all without “necessary connections between distinct existences.” It is a program that many philosophers believe deserves attention in detail, even if many would wish to dispute parts of the picture. Indeed, Lewis himself does not so much defend Humean supervenience outright as argue that it need not be given up on philosophical grounds —in principle the materials allowed by Lewis would be enough to enable the world to contain such things as minds, causation, people, and languages; and in principle, Lewis claims, his Humean world has everything needed for truths of counterfactual conditionals and statements of objective chances. Lewis leaves open the question of whether physics in fact delivers us such a sparse world, but he thought that the lessons of his in-principle defense of Humean supervenience would carry over to a system including whatever fundamental physical posits will be eventually settled upon by science. (shrink)

Well-trained, competent therapists are crucial for safe and effective psychedelic-assisted therapy (PAT). The question whether PAT training programs should require aspiring therapists to undergo their own PAT—commonly referred to as “experiential training”—has received much attention within the field. In this article, we analyze the potential benefits of experiential training in PAT by applying the framework developed by Rolf Sandell et al. concerning the functions of any training therapy (the therapeutic, modeling, empathic, persuasive, and theoretical functions). We then explore six (...) key domains in which risks could arise through mandatory experiential training: physical and psychological risks; negative impact on therapeutic skill; justice, equity, diversity, and inclusion; dual relationships; privacy and confidentiality; and undue pressure. Ultimately, we argue that experiential training in PAT should not be mandatory. Because many PAT training programs already incorporate experiential training methods, our exploration of potential harms and benefits may be used to generate comprehensive risk-mitigation strategies. (shrink)

This paper considers an emerging practice whereby citizen’s use of ubiquitous and domesticated technologies enable a parallel form of criminal justice. Here, weaponised visibility supersedes police intervention as an appropriate response. Digital vigilantism is a user-led violation of privacy that not only transcends online/offline distinctions but also complicates relations of visibility and control between police and the public. This paper develops a theoretically nuanced and empirically grounded understanding of digital vigilantism in order to advance a research agenda in this area (...) of study. In addition to literature on vigilantism and citizen-led violence, this paper draws from key works in surveillance as well as visibility studies, 914–934, 2010) in order to situate how digital media affordances and cultures inform both the moral and organisational dimensions of digital vigilantism. Digital vigilantism is a process where citizens are collectively offended by other citizen activity, and coordinate retaliation on mobile devices and social platforms. The offending acts range from mild breaches of social protocol to terrorist acts and participation in riots. The vigilantism includes, but is not limited to a ‘naming and shaming’ type of visibility, where the target’s home address, work details and other highly sensitive details are published on a public site, followed by online as well as embodied harassment. The visibility produced through digital vigilantism is unwanted, intense and enduring. Such campaigns also further a merging of digital and physical spaces through the reproduction of localised and nationalist identities on global digital platforms as an impetus for privacy violations and breaches of fundamental rights. (shrink)

This book is the scholarly & fully annotated edition of the award-winning _The Illustrated To Think Like God.__ _To Think Like God_ focuses on the emergence of philosophy as a speculative science, tracing its origins to the Greek colonies of Southern Italy, from the late 6th century to mid-5th century B.C. Special attention is paid to the sage Pythagoras and his movement, the poet Xenophanes of Colophon, and the lawmaker Parmenides of Elea. In their own ways, each thinker held (...) that true insight, whether as wisdom or certainty, belonged not to mortal human beings but to the gods. The Pythagoreans sought to approach this otherwordly knowledge by studying numerical relationships, believing them to govern the universe, and that those who know the number of a thing know its true nature. Yet their quest was a hopeless one, bogged down by cultism, numerology, political conspiracies, bloody uprisings, and exile. Above all, number did not turn out as the most reliable of mediums; it was certainly not a key to the realm of the divine. Thus, their contributions to philosophy's inception, while much better-publicized, was not the most significant. That particular role was reserved for an unusual challenge and the elaborate reaction it provoked. The challenge came from Xenophanes, who had argued that reliable truth was beyond mortal reach, because even if by accident a human being should state what is exactly the case, he had no way of knowing that he did, all things being susceptible to opinion. This dilemma is sure to have bothered a legislative mind like that of Parmenides, and we find him introducing techniques for testing the veracity of statements. These methods were meant to be carried out by reasoning and argument alone, without relying in physical evidence or mortal sense-perception, which was deemed untrustworthy. Reason was that one faculty shared by gods and humans alike. In time, Parmenides' ingenious arguments have earned him the titled of the first logician and metaphysician whose influence on subsequent thinkers was immeasurable. Parmenides taught us that philosophy was not about claims but about proof, which also makes him the father of theoretical science -- which, curiously, began as a quest into the mind of God. "Arnold Hermann makes a genuine contribution to Presocratics studies. This book, which is both an introduction to Pythagoras and Parmenides and a scholarly study, will interest novices and experts alike. Hermann's multi-leveled approach and his careful analyses of alternate views make his work a useful teaching tool, while his systematic inquiry into Pythagoreanism, the poem of Parmenides, and the development of early Greek thought will well repay the attention of scholars. — Patricia Curd_,_ _Purdue University_ "_To Think Like God_ is a highly ambitious book... Hermann's approach deserves to be taken seriously as an alternative to standard interpretations." — Richard D. McKirahan, Jr.,___ __Edwin Clarence Norton Professor of Classics and Professor of Philosophy, Pomona College_ "Arnold Hermann brings fresh life into the specialists' debates... a blow of wind that dissipates much fog." — Walter Burkert_, Professor Emeritus of Classical Philology, University of Zurich_ ARNOLD HERMANN_ is pursuing independent research on the origins of philosophy and methods of thinking. He specialices on subjects connected with Parmenides and Plato's _Parmenides._. (shrink)

ARISTOTLE thought his predecessors in general, and Plato in particular, made a serious mistake in failing to mark the boundaries separating the different sciences and branches of philosophical inquiry. All of them failed to grasp the fundamental distinction between practical and theoretical knowledge. Ethics and politics, the prime examples of practical knowledge, differ from such theoretical sciences as metaphysics and physics not only in their aims but in their methods and subject matter as well. Indeed, Aristotle thinks (...) the differences are such that we cannot regard practical and theoretical knowledge as two species of a single genus, for there is no common definition of knowledge which applies to both. (shrink)

Sydney Shoemaker leads today’s “neo-Lockean” liberation of persons from the conservative animalist charge of “neo-Aristotelians” such as Eric Olson, according to whom persons are biological entities and who challenge all neo-Lockean views on grounds that abstracting from strictly physical, or bodily, criteria plays fast and loose with our identities. There is a fundamental mistake on both sides: a false dichotomy between bodily continuity versus psychological continuity theories of personal identity. Neo-Lockeans, like everyone else today who relies on Locke’s analysis of (...) personal identity, including Derek Parfit, have either completely distorted or not understood Locke’s actual view. Shoemaker’s defense, which uses a “package deal” definition that relies on internal relations of synchronic and diachronic unity and employs the Ramsey–Lewis account to define personal identity, leaves far less room for psychological continuity views than for my own view, which, independently of its radical implications, is that (a) consciousness makes personal identity, and (b) in consciousness alone personal identity consists—which happens to be also Locke’s actual view. Moreover, the ubiquitous Fregean conception of borders and the so-called “ambiguity of is” collapse in the light of what Hintikka has called the “Frege trichotomy.” The Ramsey–Lewis account, due to the problematic way Shoemaker tries to bind the variables, makes it impossible for the neo-Lockean ala Shoemaker to fulfill the uniqueness clause required by all such Lewis style definitions; such attempts avoid circularity only at the expense of mistaking isomorphism with identity. Contrary to what virtually all philosophers writing on the topic assume, fission does not destroy personal identity. A proper analysis of public versus perspectival identification, derived using actual case studies from neuropsychiatry, provides the scientific, mathematical and logical frameworks for a new theory of self-reference, wherein “consciousness,” “self-consciousness,” and the “I,” can be precisely defined in terms of the subject and the subject-in-itself. (shrink)

Drawing on and extending the Foucaultian philosophical framework that Jeffrey Bishop develops in his masterful book, The Anticipatory Corpse: Medicine, Power, and the Care of the Dying, we undertake a sociological analysis of the neurological procedure—deep brain stimulation —which implants electrodes in the brain, powered by a pacemaker-like device, for the treatment of movement disorders. Following Bishop’s work, we carry out this analysis through a two-fold strategy. First, we examine how a multidisciplinary team evaluates candidates for this implant at a (...) major medical center. We present excerpts from an ethnographic study of the “case conference” where disease entities are presented, contested, ratified, and made objects for intervention with this technology. The case conference becomes the key site in the transition from “person-with-illness” to “person-with-brain-implant” as a team of health professionals determines a plan of action by interpreting both statistical and “quality of life” data regarding their patients. Second, this article explores these decision-making processes through Bishop’s conceptualization of evidence-based medicine, which relies on statistical approaches as the ultimate authority in knowledge production and medical decisions. We then reflect on Bishop’s critique of the social sciences and the methodological, analytical, and substantive ramifications that The Anticipatory Corpse can offer future sociological work. (shrink)