Les algèbres de dimensions supérieures libèrent les mathématiques de la restriction d'une notation purement linéaire. Elles aident ainsi à la modélisation de la géométrie et procurent une meilleure compréhension et plus de possibilités pour les calculs. Elles nous donnent de nouveaux outils pour l'étude de problèmes non-commutatifs, de dimension supérieure qui assurent le passage du local au global, en utilisant la notion d' «inverse algébrique de subdivision». Nous allons exposer comment ces idées sont venues aux auteurs en prolongeant initialement la (...) notion classique de groupe abstrait à celle de groupoïde abstrait, dont la composition n'est que partiellement définie, et qui ajoute une composante spatiale à la théorie habituelle des groupes. La théorie des noeuds nous fournit un exemple en indiquant comment une telle algèbre peut être utilisée pour décrire la structure d'un espace. Le prolongement à la dimension 2 utilise des compositions de carrés dans deux directions et la richesse de l'algèbre qui en résulte est montrée par certains calculs de dimension 2. La difficulté de la transition de la dimension 1 à la dimension 2 est également illustrée par la comparaison de la notion de carré commutatif à celle de cube commutatif - le traitement de cette dernière nécessitant de nouvelles notions. L'importance de la théorie des catégories est expliquée, de même que les possibilités de l'application d'algèbres de dimensions supérieures. (shrink)

Has moral relativism run its course? The threat of 9/11, terrorism, reproductive technology, and globalization has forced us to ask anew whether there are universal moral truths upon which to base ethical and political judgments. In this timely edited collection, distinguished scholars present and test the best answers to this question. These insightful responses temper the strong antithesis between universalism and relativism and retain sensitivity to how language and history shape the context of our moral decisions. This important and relevant (...) work of contemporary political and social thought is ideal for use in the classroom across many disciplines, including political science, philosophy, ethics, law, and theology. (shrink)

Cancer and its treatment pose challenges that affect not only patients but also their significant others, including intimate partners. Accumulating evidence suggests that couples’ ability to communicate effectively plays a major role in the psychological adjustment of both individuals and the quality of their relationship. Two key conceptual models have been proposed to account for how couple communication impacts psychological and relationship adjustment: the social-cognitive processing (SCP) model and the relationship intimacy (RI) model. These models posit different mechanisms and outcomes, (...) and thus have different implications for intervention. The purpose of this project is to test and compare the utility of these models using comprehensive and methodologically rigorous methods. Aims are: (1) to examine the overall fit of the SCP and RI models in explaining patient and partner psychological and relationship adjustment as they occur on a day-to-day basis and over the course of 1 year; (2) to examine the fit of the models for different subgroups (males vs. females, and patients vs. partners); and (3) to examine the utility of various methods of assessing communication by examining the degree to which baseline indices from different measurement strategies predict self-reported adjustment at 1-year follow up. The study employs a longitudinal, multi-method approach to examining communication processes including: standard self-report questionnaires assessing process and outcome variables collected quarterly over the course of 1 year; smartphone-based ecological momentary assessments to sample participant reports in real time; and laboratory-based couple conversations from which we derive observational measures of communicative behavior and affective expression, as well as vocal indices of emotional arousal. Participants are patients with stage II-IV breast, colon, rectal, or lung cancer and their spouses/partners, recruited from two NCI-designated comprehensive cancer centers. Results will be published in scientific journals, presented at scientific conferences, and conveyed to a larger audience through infographics and social media outlets. Findings will inform theory, measurement, and the design and implementation of efficacious interventions aimed at optimizing both patient and partner well-being. (shrink)

In _Consciousness and the Existence of God_, J.P. Moreland argues that the existence of finite, irreducible consciousness provides evidence for the existence of God. Moreover, he analyzes and criticizes the top representative of rival approaches to explaining the origin of consciousness, including John Searle’s contingent correlation, Timothy O’Connor’s emergent necessitation, Colin McGinn’s mysterian ‘‘naturalism,’’ David Skrbina’s panpsychism and Philip Clayton’s pluralistic emergentist monism. Moreland concludes that these approaches should be rejected in favor of what he calls ‘‘the Argument from (...) Consciousness.’’. (shrink)

Just as Michael Porter's five forces provided a practical analytical tool for describing the forces that shape competitive strategy, so business ethicists ought to provide business leaders with a workable framework for understanding the sources of ethical obligations. The forces that shape competitive strategy vary according to time and industry, but are anchored in an ultimate criteria of profitability. Similarily, ethics can use a set of analytical categories that identify the relevant forces to business ethics on the basis of (...) relationality.This paper first argues that relationality based on naturalism is the primary, plausible value for ethics. Second, it adapts a tripartite dialectic from scholars William Frederick and Michael Novak to describe the relational categories with which business must contend. Third, it uses these forces in a way similar to Porter's competitive forces to offer an analytical language familiar to managers in order to characterize business ethics. (shrink)

Picture yourself on a train in a station. The presence or absence of Plasticine porters with looking-glass ties is irrelevant.1 For some reason, the station is called Entity. Entity Junction, in the county of Anywhere.There are two platforms in Entity Junction, and they consist just of the two sides of the concrete sliver on which the very occasional passengers pace up and down—after all, it's just a junction. Rather than having numbers, the platforms have names. As you stand looking out (...) towards the crisp blue sky of Anywhere in one direction, trains arrive on the platform called Platform Past. As you stand looking the other way, you see trains arriving on the platform called Platform Future. The station is quite... (shrink)

Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.

Vagueness provides the first comprehensive examination of a topic of increasing importance in metaphysics and the philosophy of logic and language. Timothy Williamson traces the history of this philosophical problem from discussions of the heap paradox in classical Greece to modern formal approaches such as fuzzy logic. He illustrates the problems with views which have taken the position that standard logic and formal semantics do not apply to vague language, and defends the controversial realistic view that vagueness is a (...) kind of ignorance--that there really is a grain of sand whose removal turns a heap into a non-heap, but we cannot know which one it is. (shrink)

In this paper we discuss how Causal Decision Theory should be modified to handle a class of problematic cases involving deterministic laws. Causal Decision Theory, as it stands, is problematically biased against your endorsing deterministic propositions (for example it tells you to deny Newtonian physics, regardless of how confident you are of its truth). Our response is that this is not a problem for Causal Decision Theory per se, but arises because of the standard method for assessing the truth of (...) certain counterfactuals. The truth of deterministic laws is `modally fragile' on the standard semantics for counterfactuals: if determinism is true and you were to do otherwise, the laws would be different. We provide two ways of avoiding this problem: 1) supplement the standard semantics for counterfactuals with impossible worlds, or 2) introduce rigid designators into the description of problematic decision situations. We argue that both of these approaches are well-motivated and can be readily incorporated into Lewisian Causal Decision Theory. (shrink)

The paper clarifies and defends the orthodox view that counterfactual conditionals with impossible antecedents are vacuously true against recent criticisms. It argues that apparent counterexamples to orthodoxy result from uncritical reliance on a fallible heuristic used in the processing of conditionals. A comparison is developed between such counterpossibles and vacuously true universal generalizations.

When I take off my glasses, the world looks blurred. When I put them back on, it looks sharpedged. I do not think that the world really was blurred; I know that what changed was my relation to the distant physical objects ahead, not those objects themselves. I am more inclined to believe that the world really is and was sharp-edged. Is that belief any more reasonable than the belief that the world really is and was blurred? I see more (...) accurately with my glasses on than off, so visual appearances when they are on have some cognitive priority over visual appearances when they are off. If I must choose which kind of visual appearance to take at face value, I will choose the sharp-edged look. But what should I think when I see a mist, which looks very blurred however well I am seeing? Indeed, why choose to take any of the looks at face value? Why not regard all the choices as illegitimate projections of ways of seeing the world onto the world itself? (shrink)

Understandably absorbed in technical details, discussion of the semantic paradoxes risks losing sight of broad methodological principles. This chapter sketches a general approach to the comparison of rival logics, and applies it to argue that revision of classical propositional logic has much higher costs than its proponents typically recognize.

The second volume in the _Blackwell Brown Lectures in Philosophy_, this volume offers an original and provocative take on the nature and methodology of philosophy. Based on public lectures at Brown University, given by the pre-eminent philosopher, Timothy Williamson Rejects the ideology of the 'linguistic turn', the most distinctive trend of 20th century philosophy Explains the method of philosophy as a development from non-philosophical ways of thinking Suggests new ways of understanding what contemporary and past philosophers are doing.

Imagine a philosophy conference in Presocratic Greece. The hot question is: what are things made of? Followers of Thales say that everything is made of water, followers of Anaximenes that everything is made of air, and followers of Heraclitus that everything is made of fire. Nobody is quite clear what these claims mean, and some question whether the founders of the respective schools ever made them. But amongst the groupies there is a buzz about all the recent exciting progress. The (...) mockers and doubters make plenty of noise too. They point out that no resolution of the dispute between the schools is in sight. They diagnose Thales, Anaximenes and Heraclitus as suffering from a tendency to overgeneralize. We can intelligibly ask what bread is made of, or what houses are made of, but to ask what things in general are made of is senseless, some suggest, because the question is posed without any conception of how to verify an answer; language has gone on holiday. Paleo-pragmatists invite everyone to relax, forget their futile pseudo-inquiries and do something useful instead. (shrink)

This chapter aims to attempt no more than to make some informal and unsystematic remarks on the transformation of analytic philosophy. It deals with a few sketchy remarks on the historiography of recent analytic philosophy. Writing in 1981, David Lewis described “a reasonable goal for a philosopher” as bringing one’s opinions into stable equilibrium. A natural comparison is between Lewis’s Quinean or at least post‐Quinean methodology and the methodology of Peter Strawson, Quine’s leading opponent from the tradition of ordinary language (...) philosophy. Analytic epistemology provides a good case study of the philosophical application of Gricean pragmatics outside the philosophy of language. On Michael Dummett picture of the history of philosophy, Descartes had made epistemology first philosophy, the engine for the rest of philosophy, and then Frege had replaced epistemology by the philosophy of language as first philosophy. The chapter suggests that philosophy sometimes already uses an abductive methodology and ought to use it more in the future. (shrink)

The philosophical relevance of experimental psychology is hard to dispute. Much more controversial is the so‐called negative program's critique of armchair philosophical methodology, in particular the reliance on ‘intuitions’ about thought experiments. This chapter responds to that critique. It argues that, since the negative program has been forced to extend the category of intuition to ordinary judgments about real‐life cases, the critique is in immediate danger of generating into global scepticism, because all human judgments turn out to depend on intuitions. (...) Recently, some proponents of the negative program have tried to demarcate the target of their critique more narrowly. However, their attempts are still far too indiscriminate, and over‐generate scepticism. Nevertheless, once experimental philosophy has refined its own methodology, it may contribute to the refinement of the methodology of mainstream philosophy, by filtering out the effects of cognitive bias, although it offers no prospect of doing without judgments on real or imaginary cases. (shrink)

I argue that a common philosophical approach to the interpretation of physical theories—particularly quantum field theories—has led philosophers astray. It has driven many to declare the quantum field theories employed by practicing physicists, so-called ‘effective field theories’, to be unfit for philosophical interpretation. In particular, such theories have been deemed unable to support a realist interpretation. I argue that these claims are mistaken: attending to the manner in which these theories are employed in physical practice, I show that interpreting effective (...) field theories yields a robust foundation for a more refined approach to scientific realism in the context of quantum field theory. The paper concludes by briefly sketching some general morals for interpretive practice in the philosophy of physics. (shrink)

This book chapter is not currently available in ORA. Citation: Williamson, T. Can cognition be factorised into internal and external components? In: Stainton, R. Contemporary debates in cognitive science. Oxford: Blackwell, pp. 291-306.

Not until the twentieth century did science come to be regarded as fundamentally technical in nature. A technical field, after all, meant not just a difficult one, but one relying on concepts and vocabulary that matter only to specialists. The alternative, to identify science with an ideal of public reason, attained its peak of influence in the late nineteenth century. While the scale and applicability of science advanced enormously after 1900, scientists have more and more preferred the detached objectivity of (...) service to bureaucratic experts over the cultivation of an engaged public. This reshaping of science, which has been both celebrated and condemned, provided a stimulus to the incipient field of history of science, and it remains a key historical problem. (shrink)

Kant limits cosmopolitan right to a universal right of hospitality, condemning European imperial practices towards indigenous peoples, while allowing a right to visit foreign countries for the purpose of offering to engage in commerce. I argue that attempts by contemporary theorists such as Jeremy Waldron to expand and update Kant’s juridical category of cosmopolitan right would blunt or erase Kant’s own anti-colonial doctrine. Waldron’s use of Kant’s category of cosmopolitan right to criticize contemporary identity politics relies on premises that upset (...) Kant’s balanced right to hospitality. An over-extensive right to visit can invoke “Kantian” principles that Kant himself could not have consistently held, without weakening his condemnation of European settlement. I construct an alternative spirit of cosmopolitan right more favorable to the contemporary claims of indigenous peoples. Kant’s analysis suggests there are circumstances when indigenous peoples may choose whether to engage in extensive cultural interaction, and reasonably refuse the risks of subjecting their claims to debate in democratic politics in a unitary public. Cosmopolitan right accorded respect to peoples; any “domestic” adaptation of cosmopolitan right should respect indigenous peoples as peoples, absent a serious public explanation by a democratic state for why it has now become appropriate to treat indigenous peoples merely as individual citizens. (shrink)

The recent discovery of the Higgs at 125 GeV by the ATLAS and CMS experiments at the LHC has put significant pressure on a principle which has guided much theorizing in high energy physics over the last 40 years, the principle of naturalness. In this paper, I provide an explication of the conceptual foundations and physical significance of the naturalness principle. I argue that the naturalness principle is well-grounded both empirically and in the theoretical structure of effective field theories, and (...) that it was reasonable for physicists to endorse it. Its possible failure to be realized in nature, as suggested by recent LHC data, thus represents an empirical challenge to certain foundational aspects of our understanding of QFT. In particular, I argue that its failure would undermine one class of recent proposals which claim that QFT provides us with a picture of the world as being structured into quasi-autonomous physical domains. (shrink)

This article adapts John Rawls’s writings, arguing that past injustice can change what we ought to publicly affirm as the standard of justice today. My approach differs from forward-looking approaches based on alleviating prospective disadvantage and backward-looking historical entitlement approaches. In different contexts, Rawls’s own concern for the ‘social bases of self-respect’ and equal citizenship may require public endorsement of different principles or specifications of the standard of justice. Rawls’s difference principle focuses on the least advantaged socioeconomic group. I argue (...) that a historicized difference principle considers the relative standing of racial, gender, and other historically stigmatized groups; provides their members assurance by weakening incentives to manipulate justice to another group’s advantage; and may result in policies resembling reparations, though justified by forward-looking considerations of self-respect and public assurance. I then examine how disrespectful justifications were historically used to forcibly include indigenous peoples as citizens. While Rawls thinks providing citizens one package of basic liberties signals respect, indigenous self-government could better support self-respect. I invoke Rawlsian international justice, which calls for mutual respect between peoples. Indigenous peoples’ status should reflect their past and persisting peoplehood, providing assurance by weakening incentives to unjustly transform international into domestic contexts. (shrink)

This paper discusses the nature and the status of inference to the best explanation. We outline the foundational role given IBE by its defenders and the arguments of critics who deny it any place at all ; argue that, on the two main conceptions of explanation, IBE cannot be a foundational inference rule ; sketch an account of IBE that makes it contextual and dependent on substantive empirical assumptions, much as simplicity seems to be ; show how that account avoids (...) the critics ' complaints and leaves IBE an important role ; and sketch how our account can clarify debates over IBE in arguments for scientific realism. (shrink)

My aim in this paper is twofold: to distinguish two notions of naturalness employed in beyond the standard model physics and to argue that recognizing this distinction has methodological consequences. One notion of naturalness is an “autonomy of scales” requirement: it prohibits sensitive dependence of an effective field theory’s low-energy observables on precise specification of the theory’s description of cutoff-scale physics. I will argue that considerations from the general structure of effective field theory provide justification for the role this notion (...) of naturalness has played in BSM model construction. A second, distinct notion construes naturalness as a statistical principle requiring that the values of the parameters in an effective field theory be “likely” given some appropriately chosen measure on some appropriately circumscribed space of models. I argue that these two notions are historically and conceptually related but are motivated by distinct theoretical considerations and admit of distinct kinds of solution. (shrink)

This is an introduction to renormalization group methods in quantum field theory aimed at philosophers of science. review path integral methods, the relationship between early renormalization theory and renormalization group methods, and conceptual shifts in thinking about quantum field theory spurred by the development of renormalization group methods.

At any given time, a subject has a multiplicity of conscious experiences. A subject might simultaneously have visual experiences of a red book and a green tree, auditory experiences of birds singing, bodily sensations of a faint hunger and a sharp pain in the shoulder, the emotional experience of a certain melancholy, while having a stream of conscious thoughts about the nature of reality. These experiences are distinct from each other: a subject could experience the red book without the singing (...) birds, and could experience the singing birds without the red book. But at the same time, the experiences seem to be tied together in a deep way. They seem to be unified, by being aspects of a single encompassing state of consciousness. (shrink)

This volume offers readers a unique and comprehensive overview of theoretical perspectives on "the sublime," the singular aesthetic response elicited by phenomena that move viewers by transcending and overwhelming them. The book consists of an editor's introduction and fifteen chapters written from a variety of disciplinary perspectives. Part One examines philosophical approaches advanced historically to account for the phenomenon, beginning with Longinus, moving through eighteenth and nineteenth century writers in Britain, France, and Germany, and concluding with developments in contemporary continental (...) philosophy. Part Two explores the sublime with respect to particular disciplines and areas of study, including Dutch literature, early modern America, the environment, religion, British Romanticism, the fine arts, and architecture. Each chapter is both accessible for nonspecialists and offers an original contribution to its respective field of inquiry. (shrink)

On method, discursive logics, and epistemology -- Questions of medieval discursive practice -- From the middle ages to the (w)hole of Utopia -- Kepler, his Dream, and the analysis and pattern of thought -- Campanella and Bacon: concerning structures of mind -- The masculine birth of time -- Cyrano and the experimental discourse -- The myth of sun and moon -- The difficulty of writing -- Crusoe rights his story -- Gulliver's critique of Euclid -- Emergence, consolidation, and dominance of (...) a discourse. (shrink)

To desire something is a condition familiar to everyone. It is uncontroversial that desiring has something to do with motivation, something to do with pleasure, and something to do with reward. Call these "the three faces of desire." The standard philosophical theory at present holds that the motivational face of desire presents its unique essence--to desire a state of affairs is to be disposed to act so as to bring it about. A familiar but less standard account holds the hedonic (...) face of desire to reveal to true nature of desire. In this view, to desire something is to tend to pleasure if it seems that the desired state of affairs has been achieved, or displeasure if it seems otherwise, thus tying desire to feelings instead of actions. In Three Faces of Desire, Schroeder goes beyond actions and feelings to advance a novel and controversial theory of desire that puts the focus on desire's neglected face, reward. Informed by contemporary science as much as by the philosophical tradition, Three Faces of Desire discusses recent scientific discoveries that tell us much about the way that actions and feelings are produced in the brain. In particular, recent experiments reveal that a distinctive system is responsible for promoting action, on the one hand, and causing feelings of pleasure and displeasure, on the other. This system, the brain's reward system, is the causal origin of both action and feeling, and is the key to understanding the nature of desire. (shrink)

Rousseau’s account of the “legislator” or “lawgiver” is commonly regarded as one of the most far-fetched, ominous, and baffling parts of his teaching in the Social Contract. In brief, Rousseau’s lawgiver seems to be a proto-totalitarian figure whose self-appointed mission is to found a political community by “denaturing” people at a single stroke and who may be a mere figment of Rousseau’s overheated imagination. Accordingly, this part of the Social Contract threatens to make a mockery of Rousseau’s claim to be (...) “taking men as they are and laws they can be,” as well as his claim that the combination of “ freedom and equality” is “the greatest good” in the civil state. Following and extending Rousseau’s own method of teaching by examples, however, this essay argues that Benjamin Franklin’s influence over the American republic—especially through his posthumous Autobiography—offers a prosaic example of the apparently fantastical phenomenon sketched by Rousseau. In fact, I argue that Franklin’s case corresponds more fully to Rousseau’s description than do any of Rousseau’s own examples (such as Moses, Lycurgus, and Numa) and that Franklin showed in practice what Rousseau suggested in theory: that a lawgiver can succeed without relying on coercion and without undercutting the equality that underlies a just society. Franklin’s denaturing influence, I suggest, has been crucial for the durability of republicanism in the United States, given the country’s size and diversity. (shrink)

What we call “the evidential argument from evil” is not one argument but a family of them, originating (perhaps) in the 1979 formulation of William Rowe. Wykstra’s early versions of skeptical theism emerged in response to Rowe’s evidential arguments. But what sufficed as a response to Rowe may not suffice against later more sophisticated versions of the problem of evil—in particular, those along the lines pioneered by Paul Draper. Our chief aim here is to make an earlier version of skeptical (...) theism more responsive to the type abductive atheology pioneered by Draper. In particular, we suggest a moderate form of skeptical theism may be able to resist Draper’s abductive atheology. (shrink)

What happens to the causal structure of a world when time is reversed? At first glance it seems there are two possible answers: the causal relations are reversed, or they are not. I argue that neither of these answers is correct: we should either deny that time-reversed worlds have causal relations at all, or deny that causal concepts developed in the actual world are reliable guides to the causal structure of time-reversed worlds. The first option is motivated by the instability (...) of time-reversed dynamical evolutions under interventions. The second option is motivated by a recognition of how contingent structural features of the actual world shape our causal concepts and reasoning strategies. (shrink)

It is often claimed that one cannot locate a notion of causation in fundamental physical theories. The reason most commonly given is that the dynamics of those theories do not support any distinction between the past and the future, and this vitiates any attempt to locate a notion of causal asymmetry—and thus of causation—in fundamental physical theories. I argue that this is incorrect: the ubiquitous generation of entanglement between quantum systems grounds a relevant asymmetry in the dynamical evolution of quantum (...) systems. I show that by exploiting a connection between the amount of entanglement in a quantum state and the algorithmic complexity of that state, one can use recently developed tools for causal inference to identify a causal asymmetry—and a notion of causation—in the dynamical evolution of quantum systems. (shrink)

The Empire of Chance tells how quantitative ideas of chance transformed the natural and social sciences, as well as daily life over the last three centuries. A continuous narrative connects the earliest application of probability and statistics in gambling and insurance to the most recent forays into law, medicine, polling and baseball. Separate chapters explore the theoretical and methodological impact in biology, physics and psychology. Themes recur - determinism, inference, causality, free will, evidence, the shifting meaning of probability - but (...) in dramatically different disciplinary and historical contexts. In contrast to the literature on the mathematical development of probability and statistics, this book centres on how these technical innovations remade our conceptions of nature, mind and society. Written by an interdisciplinary team of historians and philosophers, this readable, lucid account keeps technical material to an absolute minimum. It is aimed not only at specialists in the history and philosophy of science, but also at the general reader and scholars in other disciplines. (shrink)

This work presents a historically informed, systematic exposition of the Christology of the first seven Ecumenical Councils of undivided Christendom, from the First Council of Nicaea in 325 AD to the Second Council of Nicaea in 787 AD. Assuming the truth of Conciliar Christology for the sake of argument, Timothy Pawl considers whether there are good philosophical arguments that show a contradiction or incoherence in that doctrine. He presents the definitions of important terms in the debate and a helpful (...) metaphysics for understanding the incarnation. -/- In Defense of Conciliar Christology discusses three types of philosophical objections to Conciliar Christology. Firstly, it highlights the fundamental philosophical problem facing Christology: how can one thing be both God and man, when anything deserving to be called "God" must have certain attributes, and yet it seems that nothing that can aptly be called "man" can have those same attributes? It then considers the argument that if the Second Person of the Holy Trinity were immutable or atemporal, as Conciliar Christology requires, then that Person could not become anything, and thus could not become man. Finally, Pawl addresses the objection that if there is a single Christ then there is a single nature or will in Christ. However, if that conditional is true, then Conciliar Christology is false, since it affirms the antecedent of the conditional to be true, but denies the truth of the consequent. Pawl defends Conciliar Christology against these charges, arguing that all three philosophical objections fail to show Conciliar Christology inconsistent or incoherent. (shrink)

Contribution to a PPR book symposium on Mark Wilson's Physics Avoidance.