The proof of the Second Incompleteness Theorem consists essentially of proving the uniqueness and explicit definability of the sentence asserting its own unprovability. This turns out to be a rather general phenomenon: Every instance of self-reference describable in the modal logic of the standard proof predicate obeys a similar uniqueness and explicit definability law. The efficient determination of the explicit definitions of formulae satisfying a given instance of self-reference reduces to a simple algebraic problem-that of solving the corresponding fixed-point equation (...) in the modal logic. We survey techniques for the efficient calculation of such fixed-points. (shrink)

In a recent paper, Montagna proved the undecidability of the first-order theory of diagonalisable algebras. This result is here refined — the set of finitely refutable sentences is shown effectively inseparable from the set of theorems. The proof is quite simple.

(No abstract is available for this citation).

This paper presents a defense of Epistemic Arithmetic as used for a formalization of intuitionistic arithmetic and of certain informal mathematical principles. First, objections by Allen Hazen and Craig Smorynski against Epistemic Arithmetic are discussed and found wanting. Second, positive support is given for the research program by showing that Epistemic Arithmetic can give interesting formulations of Church's Thesis.

Is the quantum state part of the furniture of the world? Einstein found such a position indigestible, but here I present a different understanding of the wavefunction that is easy to stomach. First, I develop the idea that the wavefunction is nomological in nature, showing how the quantum It or Bit debate gets subsumed by the corresponding It or Bit debate about laws of nature. Second, I motivate the nomological view by casting quantum mechanics in a “classical” formalism (Hamilton–Jacobi theory) (...) and classical mechanics in a “quantum” formalism (Koopman–von Neumann theory) and then comparing and contrasting classical and quantum wave functions. I argue that Humeans about laws can treat classical and quantum wave functions on a par and that doing so yields many benefits. (shrink)

This paper challenges the conventional wisdom dominating the social sciences and philosophy regarding temporal discounting, the practice of discounting the value of future utility when making decisions. Although there are sharp disagreements about temporal discounting, a kind of standard model has arisen, one that begins with a normative standard about how we should make intertemporal comparisons of utility. This standard demands that in so far as one is rational one discounts utilities at future times with an exponential discount function. Tracing (...) the justification for this standard through economics, philosophy and psychology, I’ll make what I believe is the best case one can for it, showing how a non-arbitrariness assumption and a dominance argument together imply that discounting ought to be exponential. Ultimately, however, I don’t find the case compelling. Non-exponential temporal discounting is often rational. If this is correct, Instead of trying to ‘fix’ non-exponential discounting because it is irrational and associated with negative life outcomes, we might instead focus attention on why the conditions obtain that make such discounting rational. (shrink)

Philosophy of science appears caught in what Einstein (1933) called the ‘eternal antithesis between the two inseparable components of our knowledge – the empirical and the rational’ (p. 271). It wants to employ metaphysical speculation, but impressed with the methods of the subject it studies, it fears overreaching. Philosophy of science thus tries to walk a fine line between scientifically grounded metaphysics and its more speculative cousins. Here I try to draft some of the contour of this boundary.

Visual experiences seem to exhibit phenomenological particularity: when you look at some object, it – that particular object – looks some way to you. But experiences exhibit generality too: when you look at a distinct but qualitatively identical object, things seem the same to you as they did in seeing the first object. Naïve realist accounts of visual experience have often been thought to have a problem with each of these observations. It has been claimed that naïve realist views cannot (...) account for the generality of visual experiences, and that the naïve realist explanation of particularity has unacceptable implications for self- knowledge: the knowledge we have of the character of our own experiences. We argue in this paper that neither claim is correct: naïve realism can explain the generality of experiences, and the naïve realist explanation of particularity raises no problems for our self-knowledge. (shrink)

Within a year of each other, three one-volume general dictionaries of philosophy have recently appeared; when our future colleagues in philosophy look back on the 1990s they may well think of it as the decade of reference works. But however productive these years may prove to be in this genre, clearly visible somewhere around the top of the heap will be this handy, useful, entertaining, and instructive contribution from Simon Blackburn. Its two immediate competitors are the Cambridge Dictionary of Philosophy, (...) edited by Robert Audi, and the Oxford Companion to Philosophy, edited by Ted Honderich. No detailed comparison will be attempted here, but two points stand out as obviously giving Blackburn’s dictionary a rather different use and flavor from the others: while containing a closely comparable number of entries, it is distinctly shorter and handier in format; and it has all been written by a single author. (shrink)

Naive realists hold that experience is to be understood in terms of an intimate perceptual relation between a subject and aspects of the world, relative to a certain standpoint. Those aspects of the world themselves shape the contours of consciousness. But blurriness is an aspect of some of our experiences that does not seem to come from the world. I argue that this constitutes a significant challenge to some forms of naive realism. But I also argue that there is a (...) robust form of naive realism which is unfazed by the blurriness of some of our experiences, even when that blurriness is understood as a subjective modification of consciousness. (shrink)

Stakeholder theory, as a method of management based on morals and behavior, must be grounded by a theory of ethics. However, traditional ethics of justice and rights cannot completely ground the theory. Following and expanding on the work of Wicks, Gilbert, and Freeman (1994), we believe that feminist ethics, invoking principles of caring, provides the missing element that allows moral theory to ground the stakeholder approach to management. Examples are given to support the suggested general principle for making business decisions (...) under feminist moral theory. (shrink)

Naïve Realists think that the ordinary mind-independent objects that we perceive are constitutive of the character of experience. Some understand this in terms of the idea that experience is diaphanous: that the conscious character of a perceptual experience is entirely constituted by its objects. My main goal here is to argue that Naïve Realists should reject this, but I’ll also highlight some suggestions as to how Naïve Realism might be developed in a non-diaphanous direction.

Drunk drivers and other culpably incapacitated wrongdoers are often taken to pose a problem for reasons-responsiveness accounts of moral responsibility. These accounts predicate moral responsibility upon an agent having the capacities to perceive and act upon moral reasons, and the culpably incapacitated wrongdoers lack exactly those capacities at the time of their wrongdoing. Many reasons-responsiveness advocates thus expand their account of responsibility to include a tracing condition: The culpably incapacitated wrongdoer is blameworthy despite his incapacitation precisely because he is responsible (...) for becoming incapacitated. As some skeptics have suggested, it is not clear that we need tracing. Here, however, I make a stronger case against tracing: I show that tracing gets things wrong. I consider a new sort of case, the case of the Odysseus agent, whose incapacitation is non-culpable (sometimes merely permissible and sometimes praiseworthy). Tracing would have us hold responsible and therefore blame unlucky Odysseus agents, Odysseus agents who commit a wrongdoing in the throes of their non-culpably induced incapacitation. But we should not hold these unlucky Odysseus agents responsible for their incapacitated wrongdoing. Because tracing gets these cases wrong, we should reject tracing. (shrink)

In addressing the question of what mental health is we might proceed as if there is a single phenomenon – mental health – denoted by a single overarching concept. The task, then, is to provide an informative analysis of this concept which applies to all and only instances of mental health, and which illuminates what it is to be mentally healthy. In contrast, mental health pluralism is the idea that there are multiple mental health phenomena denoted by multiple concepts of (...) mental health. Analysis and illumination of mental health may still be possible, but there isn’t a single phenomenon or concept to be analysed in addressing the question of what mental health is. The question of pluralism has been overlooked in the philosophy of mental health. The discussion to follow is an attempt to get us to take mental health pluralism seriously. To that end, in this essay I have three primary goals: (1) to give a precise account of what mental health pluralism is, (2) to show that the question of pluralism should not be neglected in debate about what mental health is, and (3) to argue for mental health pluralism. I also draw out some implications of this discussion for philosophy, science, and psychotherapy. (shrink)

For much of this century, philosophers hoped that Einstein’s general theory of relativity would play the role of physician to philosophy. Its development would positively influence the philosophy of methodology and confirmation, and its ontology would answer many traditional philosophical debates—for example, the issue of spacetime substantivalism. In physics, by contrast, the attitude is increasingly that GTR itself needs a physician. The more we learn about GTR the more we discover how odd are the spacetimes that it allows. Not only (...) does GTR permit singularities, naked and clothed, but it allows time travel, topology change, and event and particle horizons, to name but a few of these oddities. Rather than revel in the riches of the theory, however, many physicists seek to rule out one or more of the above “pathologies” on the grounds that they are “physically unreasonable.” Thus contemporary researchers hawk various “cures” for the “illnesses” of GTR: among them, Chronology Protection to ensure against time travel, Cosmic Censorship for naked singularities, Inflation for horizons, and so on. The physics of these illnesses and cures, and the problems they engender, are the source of much controversy in the physics literature. Philosophers have largely neglected it. But clearly the subject needs philosophers of physics to determine whether the patient is genuinely ailing, and if so, to sift the real antidotes from the snake oil. (shrink)

I show how the two great Humean ways of understanding laws of nature, projectivism and systems theory, have unwittingly reprised developments in metaethics over the past century. This demonstration helps us explain and understand trends in both literatures. It also allows work on laws to “leap- frog” over the birth of many new positions, the nomic counterparts of new theories in metaethics. However, like leap-frogging from agriculture to the internet age, it’s hardly clear that we’ve landed in a good place. (...) My reactionary advice is to return to Hume and work on the central insights that motivated Humeanism about modality in the first place. When updated with contemporary insights, there we will find an attractive naturalistic theory of laws, or so I’ll argue, and along the way we’ll see how projectivism and systems theory both get something right about this overall theory. (shrink)

Which factors influence the folk application of the concept of causation? Knobe has argued that causal judgments are primarily influenced by the moral valence of the behavior under consideration. Whereas Driver has pointed out that the data Knobe relies on can also be used to support the claim that it is the atypicality of the agent's behavior that influences our willingness to assign causality to that agent. While Knobe and Fraser have provided a further study to address the cogency of (...) this alternative explanation, we argue that they have not provided a complete analysis. We present a variation on this study that addresses the relation between atypical and moral considerations as they contribute to the application of the concept causation. Our results indicate that atypicality cannot be ignored in an analysis of the folk concept of causation. That is, Knobe and Fraser's response to Driver is inadequate. (shrink)

This chapter unfolds a central philosophical problem of statistical mechanics. This problem lies in a clash between the Static Probabilities offered by statistical mechanics and the Dynamic Probabilities provided by classical or quantum mechanics. The chapter looks at the Boltzmann and Gibbs approaches in statistical mechanics and construes some of the great controversies in the field — for instance the Reversibility Paradox — as instances of this conflict. It furthermore argues that a response to this conflict is a critical choice (...) that shapes one's understanding of statistical mechanics itself, namely, whether it is to be conceived as a special or fundamental science. The chapter details some of the pitfalls of the latter ‘globalist’ position and seeks defensible ground for a kind of ‘localist’ alternative. (shrink)

A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. While acknowledging (...) the pros and cons of various positions, it defends particular answers to how the probabilities emerge from Bohmian mechanics and how they ought to be interpreted. (shrink)

The Past Hypothesis is the claim that the Boltzmann entropy of the universe was extremely low when the universe began. Can we make sense of this claim when *classical* gravitation is included in the system? I first show that the standard rationale for not worrying about gravity is too quick. If the paper does nothing else, my hope is that it gets the problems induced by gravity the attention they deserve in the foundations of physics. I then try to make (...) plausible a very weak claim: that there is a well-defined Boltzmann entropy that *can* increase in *some* interesting self-gravitating systems. More work is needed before we can say whether this claim answers the threat to the standard explanation of entropy increase. (shrink)

In recent years, direct brain interventions have shown increased success in manipulating neurobiological processes often associated with moral reasoning and decision-making. As current DBIs are refined, and new technologies are developed, the state will have an interest in administering DBIs to criminal offenders for rehabilitative purposes. However, it is generally assumed that the state is not justified in directly intruding in an offender’s brain without valid consent. Thomas Douglas challenges this view. The state already forces criminal offenders to go to (...) jail without their consent. This represents a serious interference with an offender’s rights. If criminal offenders are already morally liable to incarceration, why is the state not also entitled to administer DBIs without consent for the purposes of rehabilitation? Douglas argument focuses on the right to ‘bodily integrity’. He argues that there is no compelling reason to believe that bodily rights that protect an offender from non-consensual DBIs are stronger than rights that protect an offender from incarceration. This paper will extend Douglas’ analysis. It will consider the more fundamental right to ‘mental integrity’. The right to mental integrity defends an inner sphere of liberty. It protects critical capacities necessary for the exercise of autonomous human agency—without which a vast majority of moral rights could not exist. Thus, the right to mental integrity is ultimately more important for a moral assessment of DBIs. The right strongly suggests that both presently, and in the future, there may be many cases in which the state is not entitled to administer DBIs to criminal offenders without valid consent. (shrink)

Orthodox epistemological disjunctivism involves the idea that paradigm cases of visual perceptual knowledge are based on visual perceptual states which are propositional, and hence representational. Given this, the orthodox version of epistemological disjunctivism takes on controversial representational commitments in the philosophy of perception. Must epistemological disjunctivism involve these commitments? I don’t think so. Here I argue that we can take epistemological disjunctivism in a new direction and develop a version of the view free of these representational commitments. The basic idea (...) is that instead of conceiving of knowledge grounding perceptions as states in which one sees that such-and-such is the case, we should instead conceive of them as states or episodes in which one sees a thing, we should conceive of them as thing-seeings. I’ll suggest that we can cast such seeings in a knowledge grounding role without conceiving of them as representational. But this is because we can put thing-seeings to epistemological work, in the framework of epistemological disjunctivism, whilst remaining neutral on whether or not they are propositional, or representational at all. The point, then, is not to replace epistemological disjunctivism’s controversial representational commitments with controversial non-representational commitments. The point is, rather, that epistemological disjunctivism can be developed with fewer commitments in the philosophy of perception than is usually appreciated. (shrink)

The argument from illusion attempts to establish the bold claim that we are never perceptually aware of ordinary material objects. The argument has rightly received a great deal critical of scrutiny. But here we develop a criticism that, to our knowledge, has not hitherto been explored. We consider the canonical form of the argument as it is captured in contemporary expositions. There are two stages to our criticism. First, we show that the argument is invalid. Second, we identify premises that (...) can be used to make the argument valid. But we argue that the obvious fixes are problematic. If our arguments are successful, we show that the argument from illusion is even more difficult to defend than is commonly acknowledged. (shrink)

Philosophical Issues, Volume 30, Issue 1, Page 102-119, October 2020.

What can we learn about the world from engaging with fictional time-series--stories involving time travellers, recurring and rewinding time, and foreknowledge of the future? Do they show us radical alternative possibilities concerning the nature of time, or do they show that even the impossible can be represented in fiction? Neither, so this book argues. Defending the view that a fiction represents a single possible world, the authors show how apparent representations of radically different time-series can be explained in terms of (...) how worlds are represented without there being any fictional world which has such a time-series. In this way, the book uses the complexities of fictional time to get to the core of the relation between truth in fiction and possibility. It provides a logic and metaphysics to deal with the fact that fictions can leave certain features of their fictional worlds indefinite, and draws comparisons and connections between fictional and scientific representations and hypotheses. (shrink)

Moralism involves the distortion of moral thought, the distortion of reflection and judgement. It is a vice, and one to which many - from the philosopher to the media pundit to the politician - are highly susceptible. This book examines the nature of moralism in specific moral judgements and the ways in which moral philosophy and theories about morality can themselves become skewed by this vice. This book ranges across a wide range of topics: the problem of the demandingness of (...) morality; the conflict between moral and other values; the contrast between the practice of moral philosophy and other modes of moral thought or reflection; moralism in the media; and, moralism in the public discussion of literature and art. This highly original and provocative book will be of interest to students of philosophy, psychology, theology and media, and to anyone who takes a serious interest in contemporary morality. (shrink)

Theodor W. Adorno was one of the twentieth century’s most potent and influential European thinkers, whose impact is felt across the humanities and social sciences. However, Adorno’s thought has been almost entirely absent from the business ethics conversation. This chapter explores the relevance of Adorno’s thought for business ethics that has emerged in recent scholarship. It does so through an engagement with topics such as positivistic management, consumer culture, social media and political discourse, and the possibility of good work, and (...) by expounding Adorno’s critical theory, the critique of the business ethics tradition implied by his work, and the debate regarding whether Adorno can be read as a ‘negative Aristotelian’. (shrink)

Many believe that quantum mechanics makes the world hospitable to the tensed theory of time. Quantum mechanics is said to rescue the significance of the present moment, the mutability of the future and possibly even the whoosh of time’s flow. It allegedly does so in two different ways: by making a preferred foliation of spacetime into space and time scientifically respectable, and by wavefunction collapse injecting temporal ‘becoming’ into the world. The aim of this paper is to show that the (...) reasoning underlying these claims is wishful thinking. Against the first claim I develop what I call the “coordination problem” for tensers. The upshot of this problem is that if tensers escape the threat of relativity, they do so only by embracing conflict with the branch of physics they believed saved them, quantum mechanics. I then step back from the fray and examine some methodological issues, concluding that scientific methodology will always be “against” tenses as they are currently conceived. The Appendix deals with the confused tangle of issues linking wavefunction collapse to an open future. (shrink)

The hypothesis that some moods are emotions has been rejected in philosophy, and is an unpopular alternative in psychology. This is because there is wide agreement that moods have a number of features distinguishing them from emotions. These include: lack of an intentional object and the related notion of lack of a goal; being of long duration; having pervasive or widespread effects; and having causes rather than reasons. Leading theories of mood have tried to explain these purported features by describing (...) moods as global changes in the mind affecting such things as predispositions to holding certain beliefs or the thresholds for triggering a range of relevant behaviors. I show instead that our best understanding of emotions can show that basic emotions either have or can appear to have each of these features. Thus, a plausible hypothesis is that certain moods are emotions. This theory is more parsimonious than the global change theories, and for this reason is to be preferred as an explanation of some moods. (shrink)

Recent feminist theory has attempted to bring considerations of women’s agency into analyses of the meaning and consequence of beauty norms in women’s lives. This article argues that these works have often been limited by their use of individualist frameworks or by their neglect of considerations of race and class. In this article I draw upon examples of African-American utilization of beauty discourse and practices in collective efforts to resist racism. I argue that there is no singular beauty standard enforced (...) by a unified male gaze. Instead, we should conceive of fields in which differently located individuals and groups invest in and promote particular ways of seeing beauty, producing both penalties and pleasures in women’s lives. (shrink)

Scholasticism, appropriation, and censure -- Humanists' invectives and Aristotle's impiety -- Renaissance Aristotle, Renaissance Averroes -- Italian Aristotelianism after Pomponazzi -- Religious reform and the reassessment of Aristotelianism -- Learned anti-Aristoteliansim -- History, erudition, and Aristotle's past -- Pious novelty.

Jaakko Nevasto has offered a number of thoughtful criticisms of our attempt to show that Adorno’s work can fruitfully be brought to bear on topics in business ethics. After welcoming his constructive clarifications, we attempt to defuse Nevasto’s main objections and defend our application of Adorno, focusing in particular on the topics of moral epistemology, needs, and the possibility of genuine activity – and thus good work – within capitalist society.

While citizens often use non-instrumental arguments to support environmental protection, most governmental policies are justified by instrumental arguments. This paper explores some of the reasons. We interviewed senior policy advisors to four European governments active in global climate change negotiations and the UNCED (United Nations Conference on Environment and Development) process. In response to our questions, a majority of these advisors articulated deeply held personal environmental values. They told us that they normally keep these values separate from their professional environmental (...) policy activities. We interpret these findings within the context of the literature on environmental ethics and values. We suggest that environmental policy could be improved if widely held environmental values were articulated, validated, and admitted into the process of policy analysis and deliberation. (shrink)

Destructive narcissism is recognized increasingly as a serious impairment to good corporate leadership and ethical conduct. The Chief Executive Officer’s letter to shareholders (an important formal corporate communications medium) has potential to provide linguistic traces of destructive narcissism and insight to aspects of corporate leadership and the ambient ethical culture of a company. We demonstrate this potential through selective analyses of the letters of the Chief Executive Officers of Enron, Starbucks, and General Motors.

The intersection of language, stigma, and neuropsychiatry is an integral area of concern for limited english proficiency (LEP) communities, demanding a greater focus in U.S. healthcare systems. Lan...

Wes Morriston argues that even if we take an endless series of events to be merely potentially, rather than actually, infinite, still no distinction between a beginningless and an endless series of events has been established which is relevant to arguments against the metaphysical possibility of an actually infinite number of things: if a beginningless series is impossible, so is an endless series. The success of Morriston’s argument, however, comes to depend on rejecting the characterization of an endless series of (...) events as a potential infinite. It turns out that according to his own analysis it is vitally relevant whether the series of events is potentially, as opposed to actually, infinite. If it is reasonable to maintain that an endless series of events is potentially infinite while a beginningless series is actually infinite, then a relevant distinction has been established for any person who thinks that an actual infinite cannot exist. (shrink)