The aim of the article is to intervene in debates about the digital and, in particular, framings that imagine the digital in terms of epochal shifts or as redefining life. Instead, drawing on recent developments in digital methods, we explore the lively, productive and performative qualities of the digital by attending to the specificities of digital devices and how they interact, and sometimes compete, with older devices and their capacity to mobilize and materialize social and other relations. In doing so, (...) our aim is to explore the implications of digital devices and data for reassembling social science methods or what we call the social science apparatuses that assemble digital devices and data to ‘know’ the social and other relations. Building on recent work at CRESC on the social life of methods, we recommend a genealogical approach that is alive to the ways in which digital devices are simultaneously shaped by social worlds, and can in turn become agents that shape those worlds. This calls for attending to the specificities of digital devices themselves, how they are varied and composed of diverse socio-technical arrangements, and are enrolled in the creation of new knowledge spaces, institutions and actors. Rather than exploring what large-scale changes can be revealed and understood through the digital, we argue for explorations of how digital devices themselves are materially implicated in the production and performance of contemporary sociality. To that end we offer the following nine propositions about the implications of digital data and devices and argue that these demand rethinking the theoretical assumptions of social science methods: transactional actors; heterogeneity; visualization; continuous time; whole populations; granularity; expertise; mobile and mobilizing; and non-coherence. (shrink)

Law's article begins by restating the classical ANT position that objects do not exist `in themselves' but are the effect of a performative stabilization of relational networks. In addition, these material enactments inevitably have a spatial dimension; they simultaneously establish spatial conditions for objectual identity, continuity, and difference. Space must not be reified as a natural, pre-existing container of the social and the material, but is itself a performance. Moreover, there are multiple forms of spatiality beyond the Euclidean space (...) of regions, and objects may exist and achieve homeomorphism within several different spatial systems. Technologies such as the Zimbabwe Bush Pump present a fluid object which is able to exist and cohere without the presence of fixed boundaries or the permanence of a particular functional definition. The network logic, however, which gravitates towards stability and functionality, tends to exclude and silence this spatial Other. An alternative political ontology is needed which goes beyond the reification of network space in order to give voice to the fluid objects which escape its unidimensional functionality. (shrink)

Awareness of boundary, both physical and mental, is seen as the beginning of perception. In any account of the world, therefore, boundary must be a ubiquitous component. In sharp contrast, accounts of God within the Christian tradition commonly have proceeded by the affirmation that God is above and beyond boundary as infinite, timeless, and simple. To overcome this “problem of transcendence,” of how such a God can relate to such a world, an eight-term grammar of boundary is developed to demonstrate (...) how God as Trinity can properly be held to be without boundary yet constitute the ground of a bounded world. This leads to a way of granting theological significance to the origin and development of life. Life is seen to exist in dynamic, intentional relationships between context (“outside”) and intext (“inside”) across permeable boundaries through which an exchange of resources and information takes place for the sake of self-continuation. Comprehending life's distinctive utilization of boundary in terms of the grammar developed here enables life to be seen not only as a vestige of the Trinity but also, precisely because of this, as a sign and parable of redemption. (shrink)

This essay examines the theology of the nineteenth century Danish theologian and churchman Hans Lassen Martensen, focusing on the disputed question of the kenotic character of Martensen's Christology. A survey of the scholarship on this question is followed by discussions of Martensen's doctrine of God and his Christology, giving particular attention to his controversial notion of the double life of the Logos, i. e. the view that the Logos continued to enjoy an unlimited divine existence in the sphere of eternity (...) while simultaneously living a limited, earthly human existence for the duration of the incarnation. The essay concludes by arguing that Martensen has developed a form of Nestorianism and that his Christology can best be classified as ‘Nestorian kenoticism,’ i. e. an eccentric and problematic form of Christology which affirms the abandonment by the logos ensarkos of the divine attributes during the incarnation, while at the same time insisting that the logos asarkos remains unaffected and in full possession of his powers. (shrink)

Music reflects subjectivity and identity: that idea is now deeply ingrained in both musicology and popular media commentary. The study of music across cultures and practices often addresses the enactment of subjectivity "in" music - how music expresses or represents "an' individual or "a" group. However, a sense of selfhood is also formed and continually reformed through musical practices, not least performance. How does this take place? How might the work of practitioners reveal aspects of this process? In what sense (...) is subjectivity performed in and through musical practices? This book explores these questions in relation to a range of artistic research involving contemporary musical practices, drawing on perspectives from performance studies, phenomenology, embodied cognition, and theories of gendered and cultural identity. (shrink)

Who is the 'I' that performs? The arts of the twentieth and twenty-first centuries have pushed us relentlessly to reconsider our notions of the self, expression, and communication: to ask ourselves, again and again, who we think we are and how we can speak meaningfully to one another. Although in other performing arts studies, especially of theatre, the performance of selfhood and identity continues to be a matter of lively debate in both practice and theory, the question of how a (...) sense of self is manifested through musical performance has been neglected. The authors of 'Voices, Bodies, Practices' are all musician-researchers: the book employs artistic research to explore how embodied performing "voices" can emerge from the interactions of individual performers and composers, musical materials, instruments, mediating technologies, and performance contexts. (shrink)

This brief position paper is stimulated from the continued need to define and redefine the area of transpersonal psychology. Understandably, being able to articulate what ‘transpersonal psychology’ is enables discussions within the wider academic and public community, yet all existing definitions are complex, conveying a number of inherent meanings in their definition, which in turn, can cloud others’ perceptions on the area.

We examined participants' reading and recall of informed consent documents presented via paper or computer. Within each presentation medium, we presented the document as a continuous or paginated document to simulate common computer and paper presentation formats. Participants took slightly longer to read paginated and computer informed consent documents and recalled slightly more information from the paginated documents. We concluded that obtaining informed consent online is not substantially different than obtaining it via paper presentation. We also provide suggestions for improving (...) informed consent-in both face-to-face and online experiments. (shrink)

The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was (...) to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege's formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege's logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russells letter in an afterword to volume II. The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work. Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege's formal system by Roy T. Cook. Readership: Scholars and advanced students in philosophy of logic, philosophy of mathematics, and early analytic philosophy. (shrink)

Metaphysical schemata and intellectual traditions -- Laws of nature : the scientific concept -- Natural law : disputed moments of transition -- Natural rights : origins and grounding.

This book is a comprehensive and unique text and reference in medical ethics. By far the most inclusive set of primary documents and articles in the field ever published, it contains over 100 selections. Virtually all pieces appear in their entirety, and a significant number would be difficult to obtain elsewhere. The volume draws upon the literature of history, medicine, philosophical and religious ethics, economics, and sociology. A wide range of topics and issues are covered, such as law and medicine, (...) truth-telling by the physician, research, population policy, genetics, abortion, dying, and individual rights in medical care. The selections span the centuries, beginning with material from the works of Hippocrates, continuing through Thomas Percival, John Stuart Mill, and Claude Bernard, down to modern commentators like Henry K. Beecher, Walsh McDermott, David L. Bazelon, Paul Freund, H. L. A. Hart, John Rawls, Paul Ramsey, Richard McCormick, Rashi Fein, and Bernard Barber. The text has eight major divisions, beginning with sections on the ethical dimensions of the physician-patient relationship in history; the moral bases of medical ethics; and regulation, compulsion, and protection of the consumer in clinical medicine and public health. Each of these sections includes key essays that appear for the first time. All of the book's major divisions contain primary documents: codes such as the Hippocratic Oath, Medieval Law for the Regulation of Medicine, and the first as well as the most recent code of the American Medical Association; court decisions, including those on Karen Quinlan and on abortion in the United States and West Germany; government documents such as the statement of the National Commission on the Protection of Human Subjects, the Tuskegee Syphilis Report, the British Parliamentary debate on euthanasia, and the Council of Europe on rights of the sick and dying; and various published guidelines such as the Harvard Medical School brain death criteria, the American Hospital Association on patient's rights, and Pope Pius XII on the prolongation of life. Cases that illustrate moral dilemmas are provided for discussion purposes. Each section is preceded by a succinct editor's introduction. The documents and essays are of practical value for practitioners and students in medicine, law, ethics, and counselling, and for individual patients and groups concerned with medical care. Through encompassing divergent viewpoints, the essays and primary documents were selected to encourage humane practices and deepen understanding of the multiple traditions that shaped and do shape the development of medicine. (shrink)

"End-Of-Law week drinkS @ ACT Magistrates Court: Friday 20 May 2005." Ethos: Official Publication of the Law Society of the Australian Capital Territory, (198), pp. 24.

The objective of this paper is to balance two major conceptual tendencies in science policy studies, continuity and discontinuity theory. While the latter argue for fundamental and distinct changes in science policy in the late 20th century, continuity theorists show how changes do occur but not as abrupt and fundamental as discontinuity theorists suggests. As a point of departure, we will elaborate a typology of scientific governance developed by Hagendijk and Irwin ( 2006 ) and apply it to (...) new empirical material. This makes possible a contextualization of the governance of science related to the codification of the “third assignment” of the Swedish higher education law of 1977. The law defined the relation between university science and Swedish citizens as a dissemination project, and did so despite that several earlier initiatives actually went well beyond such a narrow conceptualisation. Our material reveals continuous interactive and rival arrangements linking the state, public authorities, the universities and private industrial enterprises. We show how different but coexisting modes of governance of science existed in Sweden during the 20th century, in clear contrast with the picture promoted by discontinuity theorists. A close study of the historical development suggests that there were several periods of layered governance when interactions and dynamics associated with continuity as well as discontinuity theories were prevalent. In addition, we conclude that the typology of governance applied in the present paper is fruitful for carrying out historical analyses of the kind embarked upon in spite of certain methodological shortcomings. (shrink)

This is a study of a crucial and controversial topic in metaphysics and the philosophy of science: the status of the laws of nature. D. M. Armstrong works out clearly and in comprehensive detail a largely original view that laws are relations between properties or universals. The theory is continuous with the views on universals and more generally with the scientific realism that Professor Armstrong has advanced in earlier publications. He begins here by mounting an attack on the orthodox and (...) sceptical view deriving from Hume that laws assert no more than a regularity of coincidence between instances of properties. In doing so he presents what may become the definitive statement of the case against this position. Professor Armstrong then goes on to establish his own theory in a systematic manner defending it against the most likely objections, and extending both it and the related theory of universals to cover functional and statistical laws. This treatment of the subject is refreshingly concise and vivid: it will both stimulate vigorous professional debate and make an excellent student text. (shrink)

This groundbreaking work on logic by the brilliant 19th-century English mathematician George Boole remains influential to this day. Boole's major contribution was to demonstrate conclusively that the symbolic expressions of algebra could be adapted to convey the fundamental principles and operations of logic, which hitherto had been expressed only in words. Boole was thus the founder of today's science of symbolic logic. Summing up his innovative approach, Boole stated, "We ought no longer to associate Logic and Metaphysics, but Logic and (...) Mathematics." As the great English logician Augustus De Morgan later put it, in praise of Boole, his genius consisted in showing that "the symbolic processes of algebra, invented as tools of numerical calculation, should be competent to express every act of thought, and to furnish the grammar and dictionary of an all-containing system of logic." The Laws of Thought lays out this new system in detail and also explores a "calculus of probability." The story of Boole's life is as impressive as his work. Besides rudimentary lessons from his father and a few years at local schools, Boole was largely self-taught. Revealing his aptitude for many subjects at an early age, he began his career already at age 16 as a teacher at a village school. In his leisure time he tackled the daunting works of Newton, Laplace, and Lagrange on physics and mathematics. By the age of twenty-four he was submitting original papers to the Cambridge Mathematical Journal and at age twenty-nine he won a medal from the Royal Society for his contributions to mathematical analysis. He continued to so impress his contemporaries that five years later he was appointed professor of mathematics at Queens College, Cork in Ireland, even though he had no university degree. At his untimely death of forty-nine, Boole could never have guessed that his new symbolic logic would become essential in the next century for telephone switching and the design of computers. For this practical reason, as well as the sheer intellectual importance of his accomplishment, The Laws of Thought merits our attention today. (shrink)

First published in 1985, D. M. Armstrong's original work on what laws of nature are has continued to be influential in the areas of metaphysics and philosophy of science. Presenting a definitive attack on the sceptical Humean view, that laws are no more than a regularity of coincidence between stances of properties, Armstrong establishes his own theory and defends it concisely and systematically against objections. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by Marc (...) Lange, illuminating its continuing importance and relevance to philosophical enquiry, this influential work is available for a new generation of readers. (shrink)

The first English translation of a classic work in vision science from 1936 by a leading figure in the Gestalt movement, covering topics that continue to be major issues in vision research today. This classic work in vision science, written by a leading figure in Germany's Gestalt movement in psychology and first published in 1936, addresses topics that remain of major interest to vision researchers today. Wolfgang Metzger's main argument, drawn from Gestalt theory, is that the objects we perceive in (...) visual experience are not the objects themselves but perceptual effigies of those objects constructed by our brain according to natural rules. Gestalt concepts are currently being increasingly integrated into mainstream neuroscience by researchers proposing network processing beyond the classical receptive field. Metzger's discussion of such topics as ambiguous figures, hidden forms, camouflage, shadows and depth, and three-dimensional representations in paintings will interest anyone working in the field of vision and perception, including psychologists, biologists, neurophysiologists, and researchers in computational vision—and artists, designers, and philosophers. Each chapter is accompanied by compelling visual demonstrations of the phenomena described; the book includes 194 illustrations, drawn from visual science, art, and everyday experience, that invite readers to verify Metzger's observations for themselves. Today's researchers may find themselves pondering the intriguing question of what effect Metzger's theories might have had on vision research if Laws of Seeing and its treasure trove of perceptual observations had been available to the English-speaking world at the time of its writing. (shrink)

Despite advances in feminism, the "law of the father" remains the dominant model of Western psychological and cultural analysis, and the law of the mother continues to exist as an underdeveloped and marginal concept. In her radical rereading of the Greek myth, _Oresteia_, Amber Jacobs hopes to rectify the occlusion of the mother and reinforce her role as an active agent in the laws that determine and reinforce our cultural organization. According to Greek myth, Metis, Athena's mother, was Zeus's first (...) wife. Zeus swallowed Metis to prevent her from bearing children who would overthrow him. Nevertheless, Metis bore Zeus a child-Athena-who sprang forth fully formed from his head. In Aeschylus's _Oresteia_, Athena's motherless status functions as a crucial justification for absolving Orestes of the crime of matricide. In his defense of Orestes, Zeus argues that the father is more important than the mother, using Athena's "motherless" birth as an example. Conducting a close reading of critical works on Aeschylus's text, Jacobs reveals that psychoanalytic theorists have unwittingly reproduced the denial of Metis in their own critiques. This repression, which can be found in the work of Sigmund Freud and Melanie Klein as well as in the work of more contemporary theorists such as André Green and Luce Irigaray, has resulted in both an incomplete analysis of Oresteia and an inability to account for the fantasies and unconscious processes that fall outside the oedipal/patricidal paradigm. By bringing the story of Athena's mother, Metis, to the forefront, Jacobs challenges the primacy of the Oedipus myth in Western culture and psychoanalysis and introduces a bold new theory of matricide and maternal law. She finds that the Metis myth exists in cryptic forms within Aeschylus's text, uncovering what she terms the "latent content of the Oresteian myth," and argues that the occlusion of the law of the mother is proof of the patriarchal structures underlying our contemporary social and psychic realities. Jacobs's work not only provides new insight into the Oresteian trilogy but also advances a postpatriarchal model of the symbolic order that has strong ramifications for psychoanalysis, feminism, and theories of representation, as well as for clinical practice and epistemology. (shrink)

The rejection of an infinitesimal solution to the zero-fit problem by A. Elga ([2004]) does not seem to appreciate the opportunities provided by the use of internal finitely-additive probability measures. Indeed, internal laws of probability can be used to find a satisfactory infinitesimal answer to many zero-fit problems, not only to the one suggested by Elga, but also to the Markov chain (that is, discrete and memory-less) models of reality. Moreover, the generalization of likelihoods that Elga has in mind is (...) not as hopeless as it appears to be in his article. In fact, for many practically important examples, through the use of likelihoods one can succeed in circumventing the zero-fit problem. 1 The Zero-fit Problem on Infinite State Spaces 2 Elga's Critique of the Infinitesimal Approach to the Zero-fit Problem 3 Two Examples for Infinitesimal Solutions to the Zero-fit Problem 4 Mathematical Modelling in Nonstandard Universes? 5 Are Nonstandard Models Unnatural? 6 Likelihoods and Densities A Internal Probability Measures and the Loeb Measure Construction B The (Countable) Coin Tossing Sequence Revisited C Solution to the Zero-fit Problem for a Finite-state Model without Memory D An Additional Note on ‘Integrating over Densities’ E Well-defined Continuous Versions of Density Functions. (shrink)

The status of continuity in Deleuze’s metaphysics is a subject of debate. Deleuze calls the virtual, in Difference and Repetition, an Ideal continuum, and the differential relations that constitute the Ideal imply the continuity of this field. But, Deleuze does not hesitate to formulate the same field by the affirmation of divergence (incompossibility) that can be regarded as a form of discontinuity. It is, hence, unclear how these two ostensibly contradictory accounts might reconcile. This article attempts to reconstitute (...) a Deleuzian theory of continuity through Leibniz whose philosophy is equally subject to a tension between the law of continuity, prevalent in his mathematics and metaphysics, and the discontinuity or absolute individuality of monads. By reorienting The Fold around the motif of continuity a new conceptual space is opened for continuity qua heterogeneity-and-inseparability. Then, enfolding the conceptual personae of The Fold onto Difference and Repetition reveals the tacit though decisive presence of different types of continuity operational in Deleuze’s metaphysics that will be called divergent, intensive, torsional, and tenorsional continuities. (shrink)

Leibniz viewed the principle of continuity, the principle that all natural changes are produced by degrees, as a useful heuristic for evaluating the truth of a theory. Since the Cartesian laws of motion entailed discontinuities in the natural order, Leibniz could safely reject it as a false theory. The principle of continuity has similar implications for analyses of Leibniz's theory of consciousness. I briefly survey the three main interpretations of Leibniz's theory of consciousness and argue that the standard (...) account entails a discontinuity that Leibniz could not allow. I argue that the principle of continuity and the textual data favor an interpretation according to which a conscious mental state just is a perception that is distinct to a sufficient degree. (shrink)

This paper is a proposal of continuation of the work of C. Rauszer. The logic of falsehood created by her may constitute the starting point for construction of logic formalising reductive reasonings. The extension of Heyting-Brouwer logic to its deductive-reductive form sheds new light upon those classical tautologies which are rejected in intuitionism. It turns out that among HBtautologies there can be found all the classical ones. Some of them are characteristic for deductive reasoning and they are accepted by intuitionism. (...) Others formulate the laws of reductive reasoning. Many of them, including the law of excluded middle has been rejected in Heyting’s intuitionism. Intuitionism only permits for those reductive tautologies, which at the same time bear deductive character. Thus, the complete HB intuitionism does not reject any of the classical tautologies. Every classical tautology appears in HB logic in its deductive or reductive part. Some are even present in both parts. At the end it is shown that the law of excluded middle α∨¬α is a law of the reductive part of the traditional, Heyting’s intuitionistic propositional calculus. (shrink)

It has been said that Robert Boyle gave in the century of The Scientific Revolution the “fullest expression” of the view that laws of nature are continually impressed by God (“occasionalism”). So regarded, the universe is anything but an autonomous machine, its ordered operation depending on God’s continuous imposition of lawful, patterned relations between phenomena and his continuous provision of motion for them to actually enter relations. The present paper contests this treatment of Boyle. Evidence is elicited to show that, (...) for Boyle, most physical relations issue from intrinsic dispositions of phenomena, not divine impositions, dispositions determined by corpuscular textures. Members of classes of phenomena have capacities to make specific changes which members of other classes have capacities to receive, these correlative capacities being necessarily connected, subjects in principle of a priori synthetic necessary knowledge. The same view is found in John Locke’s Essay Concerning Human Understanding. It is additionally argued that Boyle’s God, the quintessentially active being, imparted motion at the creation, whereafter the motion of (at least most) natural phenomena has derived from natural, not supernatural, impulsion. (shrink)

It has been said that Robert Boyle gave in the century of The Scientific Revolution the “fullest expression” of the view that laws of nature are continually impressed by God (“occasionalism”). So regarded, the universe is anything but an autonomous machine, its ordered operation depending on God’s continuous imposition of lawful, patterned relations between phenomena and his continuous provision of motion for them to actually enter relations. The present paper contests this treatment of Boyle. Evidence is elicited to show that, (...) for Boyle, most physical relations issue from intrinsic dispositions of phenomena, not divine impositions, dispositions determined by corpuscular textures. Members of classes of phenomena have capacities to make specific changes which members of other classes have capacities to receive, these correlative capacities being necessarily connected, subjects in principle of a priori synthetic necessary knowledge. The same view is found in John Locke’s Essay Concerning Human Understanding. It is additionally argued that Boyle’s God, the quintessentially active being, imparted motion at the creation, whereafter the motion of (at least most) natural phenomena has derived from natural, not supernatural, impulsion. (shrink)

We consider random choice rules that, by satisfying a weak form of Luce’s choice axiom, embody a form probabilistic rationality. We show that for this important class of stochastic choices, the law of demand for normal goods—arguably the main result of traditional consumer theory—continues to hold on average when strictly dominated alternatives are dismissed.

The status of the laws of nature in Hobbes’s Leviathan has been a continual point of disagreement among scholars. Many agree that since Hobbes claims that civil philosophy is a science, the answer lies in an understanding of the nature of Hobbesian science more generally. In this paper, I argue that Hobbes’s view of the construction of geometrical figures sheds light upon the status of the laws of nature. In short, I claim that the laws play the same role as (...) the component parts – what Hobbes calls the “cause” – of geometrical figures. To make this argument, I show that in both geometry and civil philosophy, Hobbes proceeds by a method of synthetic demonstration as follows: 1) offering a thought experiment by privation; 2) providing definitions by explication of “simple conceptions” within the thought experiment; and 3) formulating generative definitions by making use of those definitions by explication. In just the same way that Hobbes says that the geometer should “put together” the parts of a square to learn its cause, I argue that the laws of nature are the cause of peace. (shrink)

This groundbreaking work on logic by the brilliant 19th-century English mathematician George Boole remains influential to this day. Boole's major contribution was to demonstrate conclusively that the symbolic expressions of algebra could be adapted to convey the fundamental principles and operations of logic, which hitherto had been expressed only in words. Boole was thus the founder of today's science of symbolic logic. Summing up his innovative approach, Boole stated, "We ought no longer to associate Logic and Metaphysics, but Logic and (...) Mathematics." As the great English logician Augustus De Morgan later put it, in praise of Boole, his genius consisted in showing that "the symbolic processes of algebra, invented as tools of numerical calculation, should be competent to express every act of thought, and to furnish the grammar and dictionary of an all-containing system of logic." The Laws of Thought lays out this new system in detail and also explores a "calculus of probability." The story of Boole's life is as impressive as his work. Besides rudimentary lessons from his father and a few years at local schools, Boole was largely self-taught. Revealing his aptitude for many subjects at an early age, he began his career already at age 16 as a teacher at a village school. In his leisure time he tackled the daunting works of Newton, Laplace, and Lagrange on physics and mathematics. By the age of twenty-four he was submitting original papers to the Cambridge Mathematical Journal and at age twenty-nine he won a medal from the Royal Society for his contributions to mathematical analysis. He continued to so impress his contemporaries that five years later he was appointed professor of mathematics at Queens College, Cork in Ireland, even though he had no university degree. At his untimely death of forty-nine, Boole could never have guessed that his new symbolic logic would become essential in the next century for telephone switching and the design of computers. For this practical reason, as well as the sheer intellectual importance of his accomplishment, The Laws of Thought merits our attention today. (shrink)

This paper examines the origin, range and meaning of the Principle of Action and Reaction in Kant’s mechanics. On the received view, it is a version of Newton’s Third Law. I argue that Kant meant his principle as foundation for a Leibnizian mechanics. To find a ‘Newtonian’ law of action and reaction, we must look to Kant’s ‘dynamics,’ or theory of matter. I begin, in part I, by noting marked differences between Newton’s and Kant’s laws of action and reaction. I (...) argue that these are explainable by Kant’s allegiance to a Leibnizian mechanics. I show (in part II) that Leibniz too had a model of action and reaction, at odds with Newton’s. Then I reconstruct how Jakob Hermann and Christian Wolff received Leibniz’s model. I present (in Part III) Kant’s early law of action and reaction for mechanics. I show that he devised it so as to solve extant problems in the Hermann-Wolff account. I reconstruct Kant’s views on ‘mechanical’ action and reaction in the 1780s, and highlight strong continuities with his earlier, pre-Critical stance. I use these continuities, and Kant’s earlier engagement with post-Leibnizians, to explain the un-Newtonian features of his law of action and reaction. (shrink)

I argue that there are at least two concepts of law of nature worthy of philosophical interest: strong law and weak law. Strong laws are the laws investigated by fundamental physics, while weak laws feature prominently in the “special sciences” and in a variety of non-scientific contexts. In the first section, I clarify my methodology, which has to do with arguing about concepts. In the next section, I offer a detailed description of strong laws, which I claim satisfy four criteria: (...) (1) If it is a strong law that L then it also true that L; (2) strong laws would continue to be true, were the world to be different in some physically possible way; (3) strong laws do not depend on context or human interest; (4) strong laws feature in scientific explanations but cannot be scientifically explained. I then spell out some philosophical consequences: (1) is incompatible with Cartwright’s contention that “laws lie” (2) with Lewis’s “best-system” account of laws, and (3) with contextualism about laws. In the final section, I argue that weak laws are distinguished by (approximately) meeting some but not all of these criteria. I provide a preliminary account of the scientific value of weak laws, and argue that they cannot plausibly be understood as ceteris paribus laws. (shrink)