A reply to a comment by Paul Tappenden (BJPS 59 (2008) pp. 307-314) on S. Saunders and D. Wallace, "Branching and Uncertainty" (BJPS 59 (2008) pp. 298-306).

Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe­ maticians working in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint (...) pair of functors. This appears in many substantially equivalent forms: That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself can be regarded as a sort of general­ ized monoid. Chapters VI and VII explore this notion and its generaliza­ tions. Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure lead inter alia to the study of more convenient categories of topological spaces. (shrink)

The question of whether or not early Chinese philosophers had a concept of truth has been the topic of some scholarly debate over the past few decades. The present essay offers a novel assessment of the debate, and suggests that no answer is fully satisfactory, as the plausibility of each turns in no small part on difficult and unsettled philosophical issues prior to the interpretation of any ancient Chinese philosophical texts—particularly the issues of what it means to “have a concept” (...) and how we understand the concept of truth itself. This essay summarizes prominent views within the debate over truth and Chinese philosophy and offers conditional assessments of each answer with respect to contemporary theories of concepts and theories of truth. The essay concludes with an appeal to methodological and interpretive pluralism, within reasonable constraints, in discussions of this topic. (shrink)

What would it mean to apply quantum theory, without restriction and without involving any notion of measurement and state reduction, to the whole universe? What would realism about the quantum state then imply? This book brings together an illustrious team of philosophers and physicists to debate these questions. The contributors broadly agree on the need, or aspiration, for a realist theory that unites micro- and macro-worlds. But they disagree on what this implies. Some argue that if unitary quantum evolution has (...) unrestricted application, and if the quantum state is taken to be something physically real, then this universe emerges from the quantum state as one of countless others, constantly branching in time, all of which are real. The result, they argue, is many worlds quantum theory, also known as the Everett interpretation of quantum mechanics. No other realist interpretation of unitary quantum theory has ever been found. Others argue in reply that this picture of many worlds is in no sense inherent to quantum theory, or fails to make physical sense, or is scientifically inadequate. The stuff of these worlds, what they are made of, is never adequately explained, nor are the worlds precisely defined; ordinary ideas about time and identity over time are compromised; no satisfactory role or substitute for probability can be found in many worlds theories; they can't explain experimental data; anyway, there are attractive realist alternatives to many worlds. Twenty original essays, accompanied by commentaries and discussions, examine these claims and counterclaims in depth. They consider questions of ontology - the existence of worlds; probability - whether and how probability can be related to the branching structure of the quantum state; alternatives to many worlds - whether there are one-world realist interpretations of quantum theory that leave quantum dynamics unchanged; and open questions even given many worlds, including the multiverse concept as it has arisen elsewhere in modern cosmology. A comprehensive introduction lays out the main arguments of the book, which provides a state-of-the-art guide to many worlds quantum theory and its problems. (shrink)

The Politics is one of the most influential texts in the history of political thought, and it raises issues which still confront anyone who wants to think seriously about the ways in which human societies are organized and governed. The work of one of the world's greatest philosophers, it draws on Aristotle's own great knowledge of the political and constitutional affairs of the Greek cities. By examining the way societies are run - from households to city states - Aristotle establishes (...) how successful constitutions can best be initiated and upheld. For this edition Sir Ernest Barker's fine translation, which has been widely used for nearly half a century, has been extensively revised to meet the needs of the modern reader. The accessible introduction and clear notes by R F Stalley examine the historical and philosophical background of the work and discuss its significance for modern political thought. (shrink)

This is a self-contained introduction to the Everett interpretation of quantum mechanics. It is the introductory chapter of Many Worlds? Everett, quantum theory, and reality, S. Saunders, J. Barrett, A. Kent, and D. Wallace, Oxford University Press.

It is shown that the Hilbert-Bernays-Quine principle of identity of indiscernibles applies uniformly to all the contentious cases of symmetries in physics, including permutation symmetry in classical and quantum mechanics. It follows that there is no special problem with the notion of objecthood in physics. Leibniz's principle of sufficient reason is considered as well; this too applies uniformly. But given the new principle of identity, it no longer implies that space, or atoms, are unreal.

In this review of the Korean cloning scandal involving Woo-Suk Hwang, the nature of the disaster is documented and reasons why it occurred are suggested. The general problems it raises for scientific research are highlighted and six possible ways of improving practice are offered in the light of this case: better education of science students; independent monitoring and validation; guidelines for tissue donation for research; fostering of debate about ethically contentious research in science journals; development of an international code of (...) ethical research practice; fostering of public involvement in ethical review and debate through the web. (shrink)

Following Lewis, it is widely held that branching worlds differ in important ways from diverging worlds. There is, however, a simple and natural semantics under which ordinary sentences uttered in branching worlds have much the same truth values as they conventionally have in diverging worlds. Under this semantics, whether branching or diverging, speakers cannot say in advance which branch or world is theirs. They are uncertain as to the outcome. This same semantics ensures the truth of utterances typically made about (...) quantum mechanical contingencies, including statements of uncertainty, if the Everett interpretation of quantum mechanics is true. The ‘incoherence problem’ of the Everett interpretation, that it can give no meaning to the notion of uncertainty, is thereby solved. IntroductionMetaphysicsPersonal fissionBranching worldsPhysicsObjections. (shrink)

In this paper, we draw attention to several important tensions between Kant’s account of moral education and his commitment to transcendental idealism. Our main claim is that, in locating freedom outside of space and time, transcendental idealism makes it difficult for Kant to both provide an explanation of how moral education occurs, but also to confirm that his own account actually works. Having laid out these problems, we then offer a response on Kant’s behalf. We argue that, while it might (...) look like Kant has to abandon his commitment to either moral education or transcendental idealism, there is a way in which he can maintain both. (shrink)

Although the compound adjective ‘psychosocial’ was first used by academic psychologists in the 1890s, it was only in the interwar period that psychiatrists, psychologists and social workers began to develop detailed models of the psychosocial domain. These models marked a significant departure from earlier ideas of the relationship between society and human nature. Whereas Freudians and Darwinians had described an antagonistic relationship between biological instincts and social forces, interwar authors insisted that individual personality was made possible through collective organization. This (...) argument was advanced by dissenting psychoanalysts such as Ian Suttie and Karen Horney; biologists including Julian Huxley and Hans Selye; philosophers (e.g. Olaf Stapledon), anthropologists (e.g. Margaret Mead) and physicians (e.g John Ryle and James Halliday). This introduction and the essays that follow sketch out the emergence of the psycho-social by examining the methods, tools and concepts through which it was articulated. New statistical technologies and physiological theories allowed individual pathology to be read as an index of broader social problems and placed medical expertise at the centre of new political programmes. In these arguments the intangible structure of social relationships was made visible and provided a template for the development of healthy and effective forms of social organization. By examining the range of techniques deployed in the construction of the psychosocial (from surveys of civilian neurosis, techniques of family observation through to animal models of psychotic breakdown) a critical genealogy of the biopolitical basis of modern society is developed. (shrink)

Interference is paternalistic when it restricts an individual’s freedom for their own good. Anti-paternalists, such as John Stuart Mill, object to this for various reasons, including that the individual is usually a better judge of her own interests than the would-be paternalist. However, Wilkinson argues that a Parfitian reductivist approach to personal identity opens the door to what he calls ‘identity-relative paternalism’ where someone’s present action is restricted for the sake of a different future self.1 This is an interesting argument, (...) but it is not clear whether it involves permissible paternalism. At the risk of stating the obvious, permissible paternalism must be both permissible and paternalistic. Wilkinson’s identity-relative paternalism could be either, but not obviously both. If the present and future selves are different individuals, then interference is potentially permissible but no longer paternalistic. Alternatively, they are identical, in which case the interference is genuine paternalism, but cannot be justified by appeal to their distinctness. Wilkinson may escape this dilemma by invoking Parfit, who challenges the common notion that identity is all or nothing.2 According to Parfit’s revisionary view, the present and future self may share some connections but not others. However, once we have identified these similarities and differences, there is no further question whether or not they …. (shrink)

This paper defends an ‘opt-out’ scheme for organ procurement, by distinguishing this system from ‘presumed consent’ (which the author regards as an erroneous justification of it). It, first, stresses the moral importance of increasing the supply of organs and argues that making donation easier need not conflict with altruism. It then goes on to explore one way that donation can be increased, namely by adopting an opt-out system, in which cadaveric organs are used unless the deceased (or their family) registered (...) an objection. Such policies are often labelled ‘presumed consent’, but it is argued that critics are right to be sceptical of this idea—consent is shown to be an action, rather than a mental attitude, and thus not something that can be presumed. Either someone has consented or they have not, whatever their attitude to the use of their organs. Thankfully, an opt-out scheme need not rest on the presumption of consent. Actual consent can be given implicitly, by one's actions, so it is argued that the failure to register an objection (given certain background conditions) should itself be taken as sign of consent. Therefore, it is permissible to use the organs of someone who did not opt out, because they have—by their silence—actually consented. (shrink)

Freedom lies at the heart of Kant’s philosophy. Three recent edited collections explore this key idea in different ways, alongside other related concep...

Miller has recently argued that fetuses have the same inherent value as non-disabled adults. However, we do not need to postulate some property possessed equally by all humans, including fetuses, in order to explain the equality of non-disabled adults. It would suffice if there were some property possessed by all non-disabled adults, but not by fetuses.

Proposals for increasing organ donation are often rejected as incompatible with altruistic motivation on the part of donors. This paper questions, on conceptual grounds, whether most organ donors really are altruistic. If we distinguish between altruism and solidarity – a more restricted form of other-concern, limited to members of a particular group – then most organ donors exhibit solidarity, rather than altruism. If organ donation really must be altruistic, then we have reasons to worry about the motives of existing donors. (...) However, I argue that altruism is not necessary, because organ donation supplies important goods, whatever the motivation, and we can reject certain dubious motivations, such as financial profit, without insisting on altruism.Once solidaristic donation is accepted, certain reforms for increasing donation rates seem permissible. This paper considers two proposals. Firstly, it has been suggested that registered donors should receive priority for transplants. While this proposal appears based on a solidaristic norm of reciprocity, it is argued that such a scheme would be undesirable, since non-donors may contribute to society in other ways. The second proposal is that donors should be able to direct their organs towards recipients that they feel solidarity with. This is often held to be inconsistent with altruistic motivation, but most donation is not entirely undirected in the first place (for instance, donor organs usually go to co-nationals). While allowing directed donation would create a number of practical problems, such as preventing discrimination, there appears to be no reason in principle to reject it. (shrink)

According to the Everett interpretation, branching structure and ratios of norms of branch amplitudes are the objective correlates of chance events and chances; that is, 'chance' and 'chancing', like 'red' and 'colour', pick out objective features of reality, albeit not what they seemed. Once properly identified, questions about how and in what sense chances can be observed can be treated as straightforward dynamical questions. On that basis, given the unitary dynamics of quantum theory, it follows that relative and never absolute (...) chances can be observed; that only on repetition of a large numbers of similar trials can relative probabilities be measured; and so on. The epistemology of objective chances can in this way be worked out from the dynamics. its curious features are thus explained. But one aspect of chance set-ups seems to resist this subsuming of chancing to branching: how is it that chance involves uncertainty? And if that is not possible, on Everettian lines, then the whole project is doomed. I argue that in fact there is no difficulty in making sense of uncertainty in the face of branching. Contrary to initial impressions, the unitary formalism is consistent with a well-defined notion of self-locating uncertainty. It is also consistent without: the mathematics under-determines the metaphysics in these respects. (shrink)

The Born rule is derived from operational assumptions, together with assumptions of quantum mechanics that concern only the deterministic development of the state. Unlike Gleason’s theorem, the argument applies even if probabilities are de…ned for only a single resolution of the identity, so it applies to a variety of foundational approaches to quantum mechanics. It also provides a probability rule for state spaces that are not Hilbert spaces.

Divine Action and Modern Science considers the relationship between the natural sciences and the concept of God acting in the world. Nicholas Saunders examines the Biblical motivations for asserting a continuing notion of divine action and identifies several different theological approaches to the problem. He considers their theoretical relationships with the laws of nature, indeterminism, and probabilistic causation. His book then embarks on a radical critique of current attempts to reconcile special divine action with quantum theory, chaos theory and (...) quantum chaos. As well as considering the implications of these problems for common interpretations of divine action, Saunders also surveys and codifies the many different theological, philosophical and scientific responses to divine action. The conclusion reached is that we are still far from a satisfactory account of how God might act in a manner that is consonant with modern science despite the copious recent scholarship in this area. (shrink)

The article considers structuralism as a philosophy of mathematics, as based on the commonly accepted explicit mathematical concept of a structure. Such a structure consists of a set with specified functions and relations satisfying specified axioms, which describe the type of the structure. Examples of such structures such as groups and spaces, are described. The viewpoint is now dominant in organizing much of mathematics, but does not cover all mathematics, in particular most applications. It does not explain why certain structures (...) are dominant, not why the same mathematical structure can have so many different and protean realizations. ‘structure’ is just one part of the full situation, which must somehow connect the ideal structures with their varied examples. (shrink)

The concept of classical indistinguishability is analyzed and defended against a number of well-known criticisms, with particular attention to the Gibbs’paradox. Granted that it is as much at home in classical as in quantum statistical mechanics, the question arises as to why indistinguishability, in quantum mechanics but not in classical mechanics, forces a change in statistics. The answer, illustrated with simple examples, is that the equilibrium measure on classical phase space is continuous, whilst on Hilbert space it is discrete. The (...) relevance of names, or equivalently, properties stable in time that can be used as names, is also discussed. (shrink)

Probabilities may be subjective or objective; we are concerned with both kinds of probability, and the relationship between them. The fundamental theory of objective probability is quantum mechanics: it is argued that neither Bohr's Copenhagen interpretation, nor the pilot-wave theory, nor stochastic state-reduction theories, give a satisfactory answer to the question of what objective probabilities are in quantum mechanics, or why they should satisfy the Born rule; nor do they give any reason why subjective probabilities should track objective ones. But (...) it is shown that if probability only arises with decoherence, then they must be given by the Born rule. That further, on the Everett interpretation, we have a clear statement of what probabilities are, in terms of purely categorical physical properties; and finally, along lines laid out by Deutsch and Wallace, that there is a clear basis in the axioms of decision theory as to why subjective probabilities should track these objective ones. These results hinge critically on the absence of hidden-variables or any other mechanism (such as state-reduction) from the physical interpretation of the theory. The account of probability has traditionally been considered the principal weakness of the Everett interpretation; on the contrary it emerges as one of its principal strengths. (shrink)

This essay is a contribution to a symposium on Madhav Khosla’s important book, India’s Founding Moment. It uses the book to reflect on the relevance of the story of the Indian founding to constitution making around the world in the twenty-first century. It explores this question through three themes that run through the book: people and process; the substance of constitutions; and global influences. In conclusion, I suggest that the principal value of the Indian example lies in its emphasis on (...) the development of a democratic people through the principles and processes for which a democratic constitution provides. The direct applicability of the Indian example should not be overstated, however. In matters of important detail, it was necessarily anchored in the particularities of the Indian case, including the nature of the societal divisions as they had evolved under colonial rule, attracting substantive constitutional solutions that would not necessarily be applicable elsewhere. The world of constitution making has moved in in 70 years, moreover, as might be expected. Many of the challenges for constitution making now reflect both the possibilities and the pathologies of post-modernity, to which the Indian founding provides at best a general guide. (shrink)

In this chapter, we compare Kant and James’ accounts of freedom. Despite both thinkers’ rejecting compatibilism for the sake of practical reason, there are two striking differences in their stances. The first concerns whether or not freedom requires the possibility of an open future. James holds that morality hinges on the real possibility that the future can be affected by our actions. Kant, on the other hand, seems to maintain that we can still be free in the crucial sense, even (...) if none of our actions can have any effect on the future. The second difference between them is related, and concerns the location of freedom. Kant views experience as determined by natural necessity, and locates freedom outside of it, in things-in-themselves. James, on the other hand, has a richer conception of experience than Kant, and holds that we can locate our freedom within experience alone. In the end, we contend that James has a better account of how freedom relates to our experience, but this comes at a cost. For while Kant's account struggles with the relationship between freedom and experience, it has the advantage of insulating our freedom from potential empirical challenges. (shrink)

Kant wants to show that freedom is possible in the face of natural necessity. Transcendental idealism is his solution, which locates freedom outside of nature. I accept that this makes freedom possible, but object that it precludes the recognition of other rational agents. In making this case, I trace some of the history of Kant’s thoughts on freedom. In several of his earlier works, he argues that we are aware of our own activity. He later abandons this approach, as he (...) worries that any awareness of our activity involves access to the noumenal, and thereby conflicts with the epistemic limits of transcendental idealism. In its place, from the second Critique onwards, Kant argues that we are conscious of the moral law, which tells me that I ought to do something, thus revealing that I can. This is the only proof of freedom consistent with transcendental idealism, but I argue that such an exclusively first-personal approach precludes the recognition of other rational agents. I conclu.. (shrink)

Ces études débordent le problème du temps chez les Stoïciens et se proposent d’établir que cette question, en apparence modeste, permet d’éclairer, et en même temps commande l’ensemble du système.Au premier abord en effet, la théorie du temps se présente comme une simple section d’un chapitre de la Physique, celui qui traite des Incorporels. Mais déjà la simple interprétation des textes transmis fait voir que cette théorie tient étroitement à d’autres théories, comme celle des incorporels en général, des catégories, de (...) la substance. Abordant ensuite les thèses majeures de la logique et de l’éthique, on s’aperçoit qu’à leur tour elles sont solidaires de la conception du temps qui, dans bien des cas, fait évanouir leur apparence de paradoxe. A cela même, il n’y a rien d’étrange, si l’on se souvient que le stoïcisme, plus que tout autre philosophie antique, constitue un système cohérent. Mais plus particulièrement, le problème du temps a dû former comme le noeud de la réflexion stoïcienne qui vise, contre les lourdes autorités de Platon et d’Aristote, à rétablir dans sa réalité et dans sa dignité, le concret, le sensible, disqualifié comme « sujet à la génération et à la corruption », c’est-à-dire, en un mot, comme « l’être dans le temps ». (shrink)

Kant worries that if we are not free, morality will be nothing more than a phantasm for us. In the final section of the Groundwork, he attempts secure our freedom, and with it, morality. Here is a simplified version of his argument: -/- 1. A rational will is a free will 2. A free will stands under the moral law 3. Therefore, a rational will stands under the moral law -/- In this paper, I attempt to defuse two prominent objections (...) to this argument. Commentators often worry that Kant has not managed to establish that we are rational beings with wills in the first place, and that he equivocates in his use of ‘free’ between premise 1 and 2. I argue that both of these objections can be overcome, and thus seek to offer some hope for Kant’s approach in Groundwork III. (shrink)

Books 8-10 and sections of books 11-16 of the Zhuangzi anthology represent an important and underappreciated contribution to Warring States ethical and political philosophy, known as “primitivism.” This article offers a general introduction to Zhuangist primitivism. It focuses on primitivism’s exploration and development of a normative conception of human nature, particularly xing 性, as well as primitivism’s subsequent rejection of the elaborate moral, social, political, and cultural artifices championed by their philosophical opponents, chiefly the Ruists and the Mohists. After a (...) brief introduction to Zhuangist primitivism and the limited scholarship on them, I divide this discussion into three parts pertaining to the primitivists’ three distinct approaches to and uses of human nature, which in turn serve as the basis for primitivist ethics and political thought. (shrink)