We perform a frequency analysis of the EPR-Bell argumentation. One of the main consequences of our investigation is that the existence of probability distributions of the Kolmogorov-type which was supposed by some authors is a mathematical assumption which may not be supported by actual physical quantum processes. In fact, frequencies for hidden variables for quantum particles and measurement devices may fluctuate from run to run of an experiment. These fluctuations of frequencies for micro-parameters need not contradict to the (...) stabilization of frequencies for physical observables. If, nevertheless, micro-parameters are also statistically stable, then violations of Bell's inequality and its generalizations may be a consequence of dependence of collectives corresponding to two different measurement devices. Such a dependence implies the violation of the factorization rule for the simultaneous probability distribution. Formally this rule coincides with the well known BCHS locality condition (or outcome independence condition). However, the frequency approach implies totally different interpretation of dependence. It is not dependence of events, but it is dependence of collectives. Such a dependence may be induced by the same preparation procedure. (shrink)

Two EPR arguments are reviewed, for their own sake, and for the purpose of clarifying the status of "stochastic" hidden variables. The first is a streamlined version of the EPR argument for the incompleteness of quantum mechanics. The role of an anti-instrumentalist ("realist") interpretation of certain probability statements is emphasized. The second traces out one horn of a central foundational dilemma, the collapse dilemma; complex modal reasoning, similar to the original EPR, is used to derive determinateness (of all spin components (...) of two spin- 1 / 2 particles in the singlet state) from just (a form of) weak locality, result definiteness, and an assumption on propensities based on conservation. Theories meeting these conditions are therefore constrained by the Bell inequalities. Neither controversial assumptions of "strong locality" ("factorability") nor of determinism are employed in the derivation. The categories of "stochastic hidden variables" are then analyzed; one can focus on "quasi-definite" theories, without loss of generality. A means of excluding these is proposed, based on a demand that certain ideal cases be accurately treated. Theorems from quantum measurement theory, sometimes cited as showing that such cases are not physically possible, are found inapplicable. (shrink)

The best case for thinking that quantum mechanics is nonlocal rests on Bell's Theorem, and later results of the same kind. However, the correlations characteristic of Einstein–Podolsky–Rosen (EPR)–Bell (EPRB) experiments also arise in familiar cases elsewhere in quantum mechanics (QM), where the two measurements involved are timelike rather than spacelike separated; and in which the correlations are usually assumed to have a local causal explanation, requiring no action-at-a-distance (AAD). It is interesting to ask how this is possible, in (...) the light of Bell's Theorem. We investigate this question, and present two options. Either (i) the new cases are nonlocal too, in which case AAD is more widespread in QM than has previously been appreciated (and does not depend on entanglement, as usually construed); or (ii) the means of avoiding AAD in the new cases extends in a natural way to EPRB, removing AAD in these cases too. There is a third option, viz., that the new cases are strongly disanalogous to EPRB. But this option requires an argument, so far missing, that the physical world breaks the symmetries which otherwise support the analogy. In the absence of such an argument, the orthodox combination of views—action-at-a-distance in EPRB, but local causality in its timelike analogue—is less well established than it is usually assumed to be. 1 Introduction1.1 Background1.2 Outline of the argument2 The Experiments2.1 Standard EPRB2.2 Sideways EPRB2.3 Comparing the experiments2.4 The need for beables3 The Symmetry Considerations3.1 The action symmetry3.2 Time-symmetry in SEPRB4 The Basic Trilemma4.1 An intuitive defence of Option III?5 Avoiding the Trilemma?6 The Classical Objection7 Defending Option III7.1 The free will argument7.2 Independence and consistency8 Entanglement and Epistemic Perspective. (shrink)

Entangled states are a specific feature of quantum physics that neither have a counterpart in classical physics nor in the realm of our ordinary experiences. In this chapter we outline the debate about these particular states both historically and systematically. We delineate how the debate originated in an argument for the incompleteness of quantum mechanics by Einstein, Podolsky and Rosen, and we show why, on the one hand, the argument is not considered convincing today, on the other hand, however, still (...) affects present discussions. In a second part we give a systematic overview over the contemporary debate on entanglement which focusses on Bell’s theorem and its consequences. Discerning different levels, we reconstruct the theorem and its premises in a clear way and discuss possible consequences. We analyze in detail the received view that Bell’s theorem implies non-locality and relate it to concepts such as “non-separability‘ and “holism‘. Especially we examine the question whether the phenomena involving entangled systems can be explained causally and whether the central conflict between a non-locality and the theory of relativity can be solved. (shrink)

Verschränkte Zustände sind einer der charakteristischen Züge der Quantenphysik, für die es weder eine Entsprechung in der klassischen Physik noch in der alltäglichen Erfahrungswelt gibt. In diesem Kapitel umreißen wir historisch und systematisch die Debatte um diese besonderen Zustände. Wir stellen ihren Ursprung in einem Argument von Einstein, Podolsky und Rosen für die Unvollständigkeit der Quantenmechanik dar und zeigen, warum dieses Argument einerseits heute nicht mehr als überzeugend betrachtet wird, andererseits dennoch bis in aktuelle Debatten hinein nachwirkt. In einem zweiten (...) Teil geben wir einen systematischen überblick über die zeitgenössischen Debatten zu Verschränkung, die sich um Bells Theorem und dessen Konsequenzen drehen. Einer klaren Darstellung des Theorems und seiner Voraussetzungen auf verschiedenen Ebenen folgt eine Diskussion der möglichen Konsequenzen. Detailliert wird die meist angeführte Konsequenz einer Nicht-Lokalität analysiert und in Beziehung zu Begriffen wie?Nicht-Separabilität“ und?Holismus“ gesetzt. Besonderes Augenmerk liegt auf der Frage, ob die Phänomene verschränkter Zustände kausal erklärt werden können und ob der zentrale Konflikt einer Nicht-Lokalität mit der Relativitätstheorie gelöst werden kann. (shrink)

Verschränkte Zustände sind einer der charakteristischen Züge der Quantenphysik, für die es weder eine Entsprechung in der klassischen Physik noch in unserer alltäglichen Erfahrungswelt gibt. In diesem Kapitel umreißen wir historisch und systematisch die Debatte um diese besonderen Zustände. Wir stellen ihren Ursprung in einem Argument von Einstein, Podolsky und Rosen für die Unvollständigkeit der Quantenmechanik dar und zeigen, warum dieses Argument einerseits heute nicht mehr als überzeugend betrachtet wird, andererseits dennoch bis in aktuelle Debatten hinein nachwirkt. In einem zweiten (...) Teil geben wir einen systematischen Überblick über die zeitgenössischen Debatten zu Verschränkung, die sich um Bells Theorem und dessen Konsequenzen drehen. Einer klaren Darstellung des Theorems und seiner Voraussetzungen auf verschiedenen Ebenen folgt eine Diskussion der möglichen Konsequenzen. Detailliert wird die meist angeführte Konsequenz einer Nicht-Lokalität analysiert und in Beziehung zu Begriffen wie „Nicht-Separabilität“ und „Holismus“ gesetzt. Besonderes Augenmerk liegt auf der Frage, ob die Phänomene verschränkter Zustände kausal erklärt werden können und ob der zentrale Konflikt einer Nicht-Lokalität mit der Relativitätstheorie gelöst werden kann. (shrink)

It is widely accepted that the violation of Bell inequalities excludes local theories of the quantum realm. This paper presents a stronger Bell argument which even forbids certain non-local theories. The conclusion of the stronger Bell argument presented here provably is the strongest possible consequence from the violation of Bell inequalities on a qualitative probabilistic level. Since among the excluded non-local theories are those whose only non-local probabilistic connection is a dependence between the space-like separated measurement (...) outcomes of EPR/B experiments, outcome dependence cannot be the crucial dependence for explaining a violation of Bell inequalities. Rather, the remaining non-local theories, which can violate Bell inequalities, are characterized by the fact that at least one of the measurement outcomes in some sense probabilistically depends both on its local as well as on its distant measurement setting. While this is not to say that what is usually called parameter dependence has to hold, some kind of dependence on the distant parameter cannot be avoided. Against the received view, established by Jarrett and Shimony, that on a probabilistic level quantum non-locality amounts to outcome dependence, this result confirms and makes precise Maudlin's claim that some kind of parameter dependence is required. (shrink)

"Indeed I have very little idea of what this means. I do not understand in what sense the word `mechanical' is used, in characterizing the disturbances that Bohr does not contemplate, as distinct from those he does. I do not know what the italicized passage means--- `an influence on the very conditions...' . Could it mean just that different experiments on the first system give different kinds of information about the second? But this was one of the main points of (...) EPR, who observed that one could learn *either* the position *or* the momentum of the second system..... Is Bohr just rejecting the premise--- `no action at a distance'---rather than refuting the argument?". (shrink)

We prove that the general scheme for physical theories that we have called semantic realism(SR) in some previous papers copes successfully with a number of EPR-like paradoxes when applied to quantum physics (QP). In particular, we consider the old arguments by Furry and Bohm- Aharonov and show that they are not valid within a SR framework. Moreover, we consider the Bell-Kochen-Specker und the Bell theorems that should prove that QP is inherently contextual and nonlocal, respectively, and show that (...) they can be invalidated in the SR approach. This removes the seeming contradiction between the basic assumptions of SR and QP, and proves that some problematic features that are usually attributed to QP, us contextuality and nonlocality, occur because of the adoption of a verificationist position, from one side, and from an insufficient adherence to the operational principles that have inspired QP itself, from the other side. (shrink)

The argument of Einstein, Podolsky, and Rosen is reviewed with attention to logical structure and character of assumptions. Bohr's reply is discussed. Bell's contribution is formulated without use of hidden variables, and efforts to equate hidden variables to realism are critically examined. An alternative derivation of nonlocality that makes no use of hidden variables, microrealism, counterfactual definiteness, or any other assumption alien to orthodox quantum thinking is described in detail, with particular attention to the quartet or broken-square question.

I show that locality, as it occurs in EPR arguments for the incompleteness of quantum mechanics, can be construed as causal independence understood in terms of Lewis' counterfactual analysis of causation. This construal has two benefits. It supplements recent analyses, which have not treated locality in detail. And it clarifies the relation between two EPR arguments that have recently been distinguished. It shows that the simpler of the two is more complex than has been thought; and that the other argument (...) does not need 'counterfactual definiteness'. (shrink)

The inventive, argumentative and stylistic possibilities generated by figures in general and the figure antithesis in particular are explored by Jeanne Fahnestock in the field of science. These ideas on the possibilities of antithesis are developed in the analysis of some cases of this figure in the media. This paper explores how antithesis can consist of textual and visual elements, and how various sorts and degrees of opposition are constructed in the figure.

Skeptical of the arguments put forth in Robert Duncan's long-awaited, post-humously published The H. D. Book, this review essay questions the elevation of Pre-Raphaelite, Aestheticist, and Decadent poetry that forms the basis of Duncan's revisionist canon—a revision in which Wallace Stevens and T. S. Eliot are dismissed as “merely rational,” while H. D. and Duncan himself are elevated to the uppermost ranks, just beneath Ezra Pound. The essay focuses on the peculiarity of “Wardour Street” diction returning to poetry in the (...) postmodern era (especially in the verse of Gjertrud Schnackenberg) and connects this development to the nostalgia evidenced in Duncan's occultism. Placing the New Critics with the poets Karl Shapiro and Richard Wilbur, Duncan dismisses them all as “academics” and “descendants of those ministers of the seventeenth and eighteenth century, holding out against the magic of poetry as once they held out against the magic-religion of witch cults.” Emphasizing that it is the witch cults with which Duncan evidently sides, the essay concludes that Duncan's reranking of poets is no more reliable than his attitude toward rationality. (shrink)

Skyrms's formulation of the argument against stochastic hidden variables in quantum mechanics using conditionals with chance consequences suffers from an ambiguity in its "conservation" assumption. The strong version, which Skyrms needs, packs in a "no-rapport" assumption in addition to the weaker statement of the "experimental facts." On the positive side, I argue that Skyrms's proof has two unnoted virtues (not shared by previous proofs): (1) it shows that certain difficulties that arise for deterministic hidden variable theories that exploit a nonclassical (...) probability theory extend to the stochastic case; (2) the use of counterfactual conditionals relates the Bell puzzle to Dummett's (1976) discussion of realism in quantum mechanics. (shrink)

This paper considers the economic effect of the Christian practice of forgiveness. In particular, the argument is that the gift of divine forgiveness in Christ, as articulated by Anselm, interrupts `economy' (with its logic of scarcity, debt, and finally death) and puts in place an aneconomic order (with its theo-logic of abundance, ceaseless generosity, and resurrection) that is full of the promise of deliverance from the affliction of capitalism. Also addressed here is the way that the human reception of divine (...) forgiveness takes shape in the Works of Mercy, how these works are not rightly understood as `mere charity' at home within `economy' but in fact constitute the appearance of an order that heralds the end of economy, and, finally, how this practice of forgiveness redeems/ reconfigures what is commonly called `economic justice'. (shrink)

A trenchant defense of hierarchy in different spheres of our lives, from the personal to the political All complex and large-scale societies are organized along certain hierarchies, but the concept of hierarchy has become almost taboo in the modern world. Just Hierarchy contends that this stigma is a mistake. In fact, as Daniel Bell and Wang Pei show, it is neither possible nor advisable to do away with social hierarchies. Drawing their arguments from Chinese thought and culture as well (...) as other philosophies and traditions, Bell and Wang ask which forms of hierarchy are justified and how these can serve morally desirable goals. They look at ways of promoting just forms of hierarchy while minimizing the influence of unjust ones, such as those based on race, sex, or caste. Which hierarchical relations are morally justified and why? Bell and Wang argue that it depends on the nature of the social relation and context. Different hierarchical principles ought to govern different kinds of social relations: what justifies hierarchy among intimates is different from what justifies hierarchy among citizens, countries, humans and animals, and humans and intelligent machines. Morally justified hierarchies can and should govern different spheres of our social lives, though these will be very different from the unjust hierarchies that have governed us in the past. A vigorous, systematic defense of hierarchy in the modern world, Just Hierarchy examines how hierarchical social relations can have a useful purpose, not only in personal domains but also in larger political realms. (shrink)

Liberalism is a term employed in a dizzying variety of ways in political thought and social science. This essay challenges how the liberal tradition is typically understood. I start by delineating different types of response—prescriptive, comprehensive, explanatory—that are frequently conflated in answering the question “what is liberalism?” I then discuss assorted methodological strategies employed in the existing literature: after rejecting “stipulative” and “canonical” approaches, I outline a contextualist alternative. Liberalism, on this account, is best characterised as the sum of the (...) arguments that have been classified as liberal, and recognised as such by other self-proclaimed liberals, over time and space. In the remainder of the article, I present an historical analysis of shifts in the meaning of liberalism in Anglo-American political thought between 1850 and 1950, focusing in particular on how Locke came to be characterised as a liberal. I argue that the scope of the liberal traditionexpanded during the middle decades of the twentieth century, such that it came to be seen by many as the constitutive ideology of the West. This capacious understanding of liberalism was a product of the ideological wars fought against “totalitarianism” and assorted developments in the social sciences. Today we both inherit and inhabit it. (shrink)

This chapter is about Hume’s critiques of the cosmological, ontological, and design arguments for the existence of God, as proposed by Samuel Clarke and other Newtonian theologians. Clarke regarded the cosmological argument as essential to prove the uniqueness, eternity, infinity, and omnipresence of God and the design argument as essential to prove the wisdom and foresight of God. The criticisms Hume makes all depend on his empiricist theory of ideas and his revolutionary theories of causation and causal reasoning. Most of (...) the chapter discusses these themes. The concluding section draws attention to recent research that shows two things. One is how central to Hume’s whole philosophical enterprise is his rejection of theological ideas and doctrines. The other is how this relates to his rejection of certain parts of Newtonian metaphysics. (shrink)

The idea of a 'logic of quantum mechanics' or quantum logic was originally suggested by Birkhoff and von Neumann in their pioneering paper [1936]. Since that time there has been much argument about whether, or in what sense, quantum 'logic' can be actually considered a true logic (see, e.g. Bell and Hallett [1982], Dummett [1976], Gardner [1971]) and, if so, how it is to be distinguished from classical logic. In this paper I put forward a simple and natural semantical (...) framework for quantum logic which reveals its difference from classical logic in a strikingly intuitive way, viz. through the fact that quantum logic admits (suitably formulated versions of) the characteristic quantum-mechanical notions of superposition and incompatibility of attributes. That is, precisely the features that distinguish quantum from classical physics also serve, within this framework, to distinguish quantum from classical logic. Some light is shed on the question of whether quantum logic is a genuine logical system by introducing a natural entailment relation for quantum-logical formulas with the implication symbol. The novelty is that, although implication behaves as it should (i.e. the 'deduction theorem' holds), the order of introduction of premises is significant. The fact that a reasonable entailment relation can be formulated for quantum logic supports the view that it is a genuine logical system and not merely an algebraic formalism. (shrink)

Early discussions of ?climate justice? have been dominated by economists rather than political philosophers. More recently, analytical liberal political philosophers have joined the debate. However, the philosophical discussion of climate justice remains in its early stages. This paper considers one promising approach based on human rights, which has been advocated recently by several theorists, including Simon Caney, Henry Shue and Tim Hayward. A basic argument supporting the claim that anthropogenic climate change violates human rights is presented. Four objections to this (...) argument are examined: the ?future persons? objection; the ?risk? objection; the ?collective causation? objection; and the ?demandingness? objection. This critical examination leads to a more detailed specification and defence of the claim that anthropogenic climate change violates human rights. (shrink)

The first and greatest commandment according to Jesus, and so the one most central to Christian practice, is the command to love God. We argue that this commandment is best interpreted in aretaic rather than deontic terms. In brief, we argue that there is no obligation to love God. While bad, failure to seek and enjoy a union of love with God is not in violation of any general moral requirement. The core argument is straightforward: relations of intimacy should not (...) be morally imposed upon autonomous beings. We contend that such reasoning applies to human beings’ relationship to God. So, even if our ultimate end is to enjoy communion with God, God has no right that human beings seek a relationship with him. If this is correct, then the command to ‘love God’ is not the sort of moral principle that can be supported by threats of hellfire or other forms of coercion. (shrink)

Is liberal democracy a universal ideal? Proponents of "Asian values" argue that it is a distinctive product of the Western experience and that Western powers shouldn't try to push human rights and democracy onto Asian states. Liberal democrats in the West typically counter by questioning the motives of Asian critics, arguing that Asian leaders are merely trying to rationalize human-rights violations and authoritarian rule. In this book--written as a dialogue between an American democrat named Demo and three East Asian critics--Daniel (...) A. Bell attempts to chart a middle ground between the extremes of the international debate on human rights and democracy.Bell criticizes the use of "Asian values" to justify oppression, but also draws on East Asian cultural traditions and contributions by contemporary intellectuals in East Asia to identify some powerful challenges to Western-style liberal democracy. In the first part of the book, Bell makes use of colorful stories and examples to show that there is a need to take into account East Asian perspectives on human rights and democracy. The second part--a fictitious dialogue between Demo and Asian senior statesman Lee Kuan Yew--examines the pros and cons of implementing Western-style democracy in Singapore. The third part of the book is an argument for an as-yet-unrealized Confucian political institution that justifiably differs from Western-style liberal democracy.This is a thought-provoking defense of distinctively East Asian challenges to Western-style liberal democracy that will stimulate interest and debate among students of political theory, Asian studies, and international human rights. (shrink)

Summarya) Bell tries to formulate more explicitly a notion of “local causality”: correlations between physical events in different space‐time regions should be explicable in terms of physical events in the overlap of the backward light cones. It is shown that ordinary relativistic quantum field theory is not locally causal in this sense, and cannot be embedded in a locally causal theory.b) Clauser, Home and Shimony criticize several steps in Bell's argument that any theory of local “beables” is incompatible (...) with quantum mechanics. It is contended that the Clauser‐Horne derivation of a Bell‐type inequality circumvents his weak steps. The Clauser‐Horne derivation must assume that there are no undetected correlations between choices of controllable variables in two space‐like separated regions. Methodological considerations support this assumption.c) In response to criticism by Shimony, Home, and Clauser, Bell tries to clarify the argument of “The theory of local beables”, and to defend as permissible the hypothesis of free variables.d) Bell's reply to an earlier criticism by Shimony, Clauser, and Home is answered. The convergence of Bell's position towards theirs is noted. (shrink)

The usual meaning of the word continuous is “unbroken” or “uninterrupted”: thus a continuous entity —a continuum—has no “gaps.” We commonly suppose that space and time are continuous, and certain philosophers have maintained that all natural processes occur continuously: witness, for example, Leibniz's famous apothegm natura non facit saltus—“nature makes no jump.” In mathematics the word is used in the same general sense, but has had to be furnished with increasingly precise definitions. So, for instance, in the later 18th century (...) continuity of a function was taken to mean that infinitesimal changes in the value of the argument induced infinitesimal changes in the value of the function. With the abandonment of infinitesimals in the 19th century this definition came to be replaced by one employing the more precise concept of limit. (shrink)

A trenchant defense of hierarchy in different spheres of our lives, from the personal to the political All complex and large-scale societies are organized along certain hierarchies, but the concept of hierarchy has become almost taboo in the modern world. Just Hierarchy contends that this stigma is a mistake. In fact, as Daniel Bell and Wang Pei show, it is neither possible nor advisable to do away with social hierarchies. Drawing their arguments from Chinese thought and culture as well (...) as other philosophies and traditions, Bell and Wang ask which forms of hierarchy are justified and how these can serve morally desirable goals. They look at ways of promoting just forms of hierarchy while minimizing the influence of unjust ones, such as those based on race, sex, or caste. Which hierarchical relations are morally justified and why? Bell and Wang argue that it depends on the nature of the social relation and context. Different hierarchical principles ought to govern different kinds of social relations: what justifies hierarchy among intimates is different from what justifies hierarchy among citizens, countries, humans and animals, and humans and intelligent machines. Morally justified hierarchies can and should govern different spheres of our social lives, though these will be very different from the unjust hierarchies that have governed us in the past. A vigorous, systematic defense of hierarchy in the modern world, Just Hierarchy examines how hierarchical social relations can have a useful purpose, not only in personal domains but also in larger political realms. (shrink)

Recent scholarship on John Stuart Mill has illuminated his arguments about the normative legitimacy of imperial rule. However, it has tended to ignore or downplay his extensive writings on settler colonialism: the attempt to create permanent "civilized" communities, mainly in North America and the South Pacific. Mill defended colonization throughout his life, although his arguments about its character and justification shifted over time. While initially he regarded it as a solution to the "social problem" in Britain, he increasingly came to (...) argue that its legitimacy resided in the universal benefits—civilization, peace, and prosperity—it generated for humanity. In the final years of his life Mill seemed to lose faith in the project. Finally recognizing the prevalence of colonial violence and the difficulty of realizing his grand ambitions, yet refusing to give up on colonization altogether, his colonial romance gave way to a form of melancholia. (shrink)

Introduction -- 1. Problem of the New -- 2. Problem of Relations -- 3. Problem of Emergence -- 4. Problem of One and Many -- 5. Plato and the Third Man Argument -- 6. Bradley and the Problem of Relations -- 7. Moore, Russell and the Birth of Analytic Philosophy -- 8. Russell and Deleuze on Leibniz -- 9. On Problematic Fields -- 10. Kant and Problematic Ideas -- 11. Armstrong and Lewis on the Problem of One and Many -- (...) 12. Determinables and Determinates -- 13. The Limits of Representational Thought -- 14. Learning from a Cup of Coffee -- 15. Carnap and the Fate of Metaphysics -- 16. Truth and Relevance -- Conclusion. (shrink)

This paper treats some of the issues raised by Putnam's discussion of, and claims for, quantum logic, specifically: that its proposal is a response to experimental difficulties; that it is a reasonable replacement for classical logic because its connectives retain their classical meanings, and because it can be derived as a logic of tests. We argue that the first claim is wrong (1), and that while conjunction and disjunction can be considered to retain their classical meanings, negation crucially does not. (...) The argument is conducted via a thorough analysis of how the meet, join and complementation operations are defined in the relevant logical structures, respectively Boolean- and ortholattices (3). Since Putnam wishes to reinstate a realist interpretation of quantum mechanics, we ask how quantum logic can be a logic of realism. We show that it certainly cannot be a logic of bivalence realism (i.e., of truth and falsity), although it is consistent with some form of ontological realism (4). Finally, we show that while a reasonable explication of the idealized notion of test yields interesting mathematical structure, it by no means yields the rich ortholattice structure which Putnam (following Finkelstein) seeks. (shrink)

then E has a subset which is the domain of a model of Peano's axioms for the natural numbers. (This result is proved explicitly, using classical reasoning, in section 3 of [1].) My purpose in this note is to strengthen this result in two directions: first, the premise will be weakened so as to require only that the map ν be defined on the family of (Kuratowski) finite subsets of the set E, and secondly, the argument will be constructive, i.e., (...) will involve no use of the law of excluded middle. To be precise, we will prove, in constructive (or intuitionistic) set theory3, the following.. (shrink)

A central tenet of moral individualism is that only an entity’s intrinsic (non-relational) properties can ground moral status because only intrinsic properties give rise to agent-neutral reasons. However, I show that the two main approaches to making the agent-neutral/agent-relative distinction fail to exclude morally salient relational (extrinsic) properties from giving rise to agent-neutral reasons. As such, moral individualism accounts of moral status are false. Further, arguments that depend on moral individualism’s central tenet—like the argument from “marginal” cases—are unable to defend (...) their thesis by merely claiming that special relations cannot ground moral status. (shrink)

Liberalism and ecologism are widely regarded as incompatible. Liberalism and (anthropocentric) environmentalism might be compatible but liberalism and (non-anthropocentric) ecologism are not. A liberal state cannot promote policies for ecological or ecocentric reasons. An individual cannot be both a liberal and a committed advocate of ecologism. This paper challenges these claims. It is argued that Rawls’s ‘political liberalism’ is compatible with ecologism and, in particular, the idea of ‘ecological justice’. A Rawlsian state can promote ecological justice. A committed political liberal (...) can also be a committed advocate of ecological justice. The argument is developed through a close textual examination of Rawls’s brief discussion of our duties to ‘animals and the rest of nature’. Rawls leaves far more scope for liberal ecologism than his critics have suggested. The proposed version of liberal ecologism is defended against charges of substantive and procedural bias toward humans and against nonhuman nature. Liberal ecologism may not be enough for some ecologists-especially ‘ecological constitutionalists’ seeking constitutional protection for nonhuman nature-but it is a serious and defensible political and moral theory. (shrink)

Are hierarchies necessary in human relationships? This issue is a central one for feminist theory, and there is a continuing need to rethink relationships and to envision what they might be like without any sort of dominance of some over others. To aid this process of envisioning alternatives, this paper examines more closely the way one of the most intimate of hierarchies - marriage - has been argued and envisioned historically.

Full-text of this article is not available in this e-prints service. This article was originally published [following peer-review] in Hume Studies, published by and copyright Hume Society.

In this article I pursue two main lines of argument. First, I seek to delineate two distinctive modes of justifying imperialism found in nineteenth-century political thought (and beyond). The 'liberal civilizational'li model, articulated most prominently by John Stuart Mill, justified empire primarily in terms of the benefits that it brought to subject populations. Its proponents sought to 'civilize'lthe 'barbarian'. An alternative `republican' model focused instead on the benefits - glory, honour and power above all - that accrued to the imperial (...) state. Less concerned with spreading civilization, its proponents concentrated on fortifying the imperial polity. Second, I offer a 'republican' interpretation of the writings of the historian and public moralist J.A. Froude (1818-94), arguing that he both diagnosed the problems of modern Britain and prescribed imperial solutions to those problems, based on his reading of the fate of the Roman republic. (shrink)

This chapter contains section titled: Natural Religion in EHU The Critique of the Design Argument in DNR The Problem of Evil Part 12 and the Interpretation of DNR Conclusion References Further Reading.

I show the inadequacy of whitrow's recent argument ("british journal for the philosophy of science", Volume 29, Pages 39-45) against the possibility of an infinite past. I argue that it is impossible to prove "a priori" the non-Existence of an infinite past or future.

ABSTRACTThis paper examines the differences between the thought of Hannah Arendt and Emmanuel Levinas concerning the “Rights of Man”, in relation to stateless persons. In The Origins of Totalitarianism, Arendt evinces a profound scepticism towards this ideal, which for her was powerless without being tethered to citizenship. But Arendt’s own idea of the “Right to have Rights” is critiqued here as being inadequate to the ethical demand placed upon states by refugees, in failing to articulate just what states might be (...) responsible for. I argue that the ethical philosophy of Levinas meets this lacuna in Arendt’s thought, via his concept of the Face as the locus of human dignity and to which states can be recalled to responsibility. Levinas wrote several papers on what he called “the phenomenology of the Rights of Man”, and in his phrase, which provides a summation of precisely what is lacking in Arendt’s arguments: “In the face – a right is there”. (shrink)

In this article I argue that, if one is persuaded by the arguments of Emmanuel Levinas, the pursuit of something called ‘ethical feminism’ is rendered difficult, for, according to Levinas, there is a hiatus between ethics and politics in so far as politics does not flow from ethics. Indeed, politics obliges one to engage in the non-ethical, so that the ethical cannot be understood as a basis for feminist politics. I contend that one can argue that it is in the (...) way that the dangers of the non-ethical are handled that politics begins. If this is so, one can refigure the question of ethics within feminism. Ethics becomes a check on freedom and politics rather than its originary source. However, I argue, along with Michel Foucault and William Connolly, that ethical responses, while coming from the other, have also to be subjected to genealogical critique, so that their conditions of possibility are not naturalized. (shrink)

This article explores what might happen to the concept of performativity within arguments that are understood as ‘topological’. It argues that we might ‘decline’ performativity, which is to say, elaborate the concerns that are expressed in the concept, but inclining it more boldly towards the complexities of a world whose elements are always in process of constitution, of reiterative enfolding. Taking a cue from Isabelle Stengers’ recent work in which she posits the notion of ecologies of practice, on the one (...) hand, and Whitehead’s concept of concern, on the other, the paper argues that emergent entities have differential requirements – not least according to the disciplines to which they appeal – and subtend different modes of implied obligation. An adherence to these requirements needs to be accompanied by persuasive presentation that obliges a community to affirm any entity. On many levels of abstraction, ecologies need to show concern for an entity to facilitate its emergence and to sustain its mode of being. In an expanded vision, then, human and non-human entities at all levels enter into multifarious relational modes of becoming, but these become of sustained consequence only through persuasion of communities, sometimes organized into disciplines. The survival of entities requires forms of differentiation, division and of value. The paper relates these arguments to forms of sociological enquiry that give glimpses of how sociology might respond. It ends with a hesitation around the radical anti-anthropomorphism of the stance developed, and argues that this does not entirely eclipse the importance of political hope. (shrink)

Full proofs of the Gödel incompleteness theorems are highly intricate affairs. Much of the intricacy lies in the details of setting up and checking the properties of a coding system representing the syntax of an object language within that same language. These details are seldom illuminating and tend to obscure the core of the argument. For this reason a number of efforts have been made to present the essentials of the proofs of Gödel's theorems without getting mired in syntactic or (...) computational details. One of the most important of these efforts was made by Löb [8] in connection with his analysis of sentences asserting their own provability. Löb formulated three conditions, on the provability predicate in a formal system which are jointly sufficient to yield the Gödel's second incompleteness theorem for it. A key role in Löb's analysis is played by what later became known as the diagonalization or fixed point property of formal systems, a property which had already, in essence, been exploited by Gödel in his original proofs of the incompleteness theorems. The fixed point property plays a central role in Lawvere's [7] category-theoretic account of incompleteness phenomena. (shrink)

Few subjects provoke as much controversy or debate as that of medical care, and the law that governs such an emotive area finds itself with the near-impossible task of simultaneously trying to regulate the medical profession and healthcare provision whilst upholding the rights of the millions of people who use those services every year. Medical Law combines an accessible explanation of the complex and challenging legal rules of medical care in England and Wales with a stimulating examination of the social, (...) political and ethical arguments such care provokes. It examines a broad range of issues, from the structure and organisation of the NHS, through the rules of clinical negligence, as well as focussing on the legal and ethical concerns around such deeply contentious areas as surrogacy, organ donation, abortion and euthanasia. Written very much with newcomers to the area in mind, Leanne Bell lucidly outlines not just what the law is, but how it has developed over time and also provides insights as to how advances in medical technology and techniques may call for it to evolve in the future. (shrink)

In this interview with Vikki Bell, Elizabeth Grosz explains some of the key concepts and arguments in her book The Incorporeal, including how this book sits with her earlier interventions, the appeal of Simondon’s concept of the pre-individual, Ruyer and the notion of directionality, and why reading the Stoics helps us understand current Deleuzian-inspired debates on immanent ethics.

One of the most familiar uses of the Russell paradox, or, at least, of the idea underlying it, is in proving Cantor's theorem that the cardinality of any set is strictly less than that of its power set. The other method of proving Cantor's theorem — employed by Cantor himself in showing that the set of real numbers is uncountable — is that of diagonalization. Typically, diagonalization arguments are used to show that function spaces are "large" in a suitable sense. (...) Classically, these two methods are equivalent. But constructively they are not: while the argument for Russell's paradox is perfectly constructive, (i.e., employs intuitionistically acceptable principles of logic) the method of diagonalization fails to be so. I describe the ways in which these two methods.. (shrink)

As I see it, the historic role of literary Bloomsbury was to act as a sort of check or antibody continually attacking the proponents of the vulgar passions in the body politic whenever these menaced the traditional values of liberal England. In a democracy and perhaps in any modern state there is always a danger that men seeking power will rely upon the feelings rather than the intelligence of the masses. Such appeals to the vulgar passions represent a continual danger; (...) fight on till the Huns are smashed, squeeze Germany until the pips squeak, woman's place is in the home, stamp out dirty unnatural vice, keep the black man in his place—exhortations of this kind can be terribly effective. Against them, or most of them, one may oppose the arguments of the Sermon on the Mount: love your enemies, all men are brothers. This Bloomsbury did not do; it had no use either for the hero or for the saint. In its polemics it appeals to good sense and good feeling and relies upon the belief that ultimately the reasoned argument will prevail. Quentin Bell is the author of, among other works, Virginia Woolf: A Biography, Bloomsbury, Ruskin, and On Human Finery. His previous contributions to Critical Inquiry are "Art and the Elite" and exchanges with E. H. Gombrich and James Ackerman. (shrink)

It must be admitted that there are some of us who “teach” Virginia Woolf and yet seem unable to learn from her. The secret of Virginia’s eminently readable prose style remains hidden from us. It is for this reason that I find it impossibly hard to read everything that Professor Marcus and some of her colleagues produce in such astounding abundance, and that, she may retort, is why she has found it impossible to read my biography of Virginia Woolf. In (...) a sense, she does not need to; she can imagine it and, thus, credit me with the statement that I considered my aunt “a minor British novelist, ranked somewhere below E. M. Forster as a writer of fiction” . Seeing that I made it clear from the outset of that biography that I would not attempt to assess the work of Virginia Woolf, seeing that I have been blamed for this abstention , and seeing that I have said absolutely nothing at any time that could possibly be construed in this sense, I think that we may well call this a master-stroke of the imagination.Also it is irrelevant. I accuse her of inaccuracy; she “replies” by asserting that I have bad taste. It seems a rather unconvincing form of defence. In fact, in her “reply,” which must be about as long as the article by which it was engendered, Professor Marcus can find so little in the way of evidence or argument with which to support those contentions which I have criticized that the reader must wade through page after page of completely otiose matter before coming to anything which seems to bear on the matter at hand. At last Professor Marcus tells us that she has written “two long essays in which I did at length and in detail exactly what he does here”; here, then, we come to her answer . The reader, who may be somewhat bewildered by so long a preface, may wish to be reminded what there is that needs to be answered. I maintain that Professor Marcus has neglected to notice that Margaret Llewelyn Davis was primarily Leonard Woolf’s friend rather than Virginia’s, that her relationship with Virginia was at times very uneasy, that Virginia was out of sympathy with politically minded women, and that Professor Marcus neglects to notice any of this because she fails to use the evidence of the diaries and the letters. When she does quote from a letter, she completely misunderstands it, just as she fails to understand Virginia’s use of the term “the woman’s republic” . Quentin Bell is the author of, among other works, Ruskin , Bloomsbury , Virginia Woolf: A Biography , and On Human Finery . His previous contributions to Critical Inquiry include “Art and the Elite” , “Bloomsbury and ‘the Vulgar Passions’” , and “A ‘Radiant’ Friendship”. (shrink)

This essay recovers the redemptive significance of “sacrifice” as the form of Christian resistance to global capitalism. The argument unfolds by way of a comparison of sacrifice, as presented by Anselm, with one of the most compelling contemporary theological accounts of justice and human rights—that of the Latin American liberationists. After showing how the liberationists' vision is implicated in the capitalist order, I argue that Anselm's account of sacrifice displays the advent of the aneconomic order of divine charity and that (...) it is only the recovery of life in this aneconomic mode of donation and gift that can deliver us from capitalism. (shrink)