Orthodoxy has it that mereological composition can never be a vague matter, for if it were, then existence would sometimes be a vague matter too, and that's impossible. I accept that vague composition implies vague existence, but deny that either is impossible. In this paper I develop degree-theoretic versions of quantified modal logic and of mereology, and combine them in a framework that allows us to make clear sense of vague composition and vague existence, and the relationships between them.

This article uncovers a foundational relationship between the ‘gauge symmetry’ of a Newton-Cartan theory and the celebrated Trautman Recovery Theorem and explores its implications for recent philosophical work on Newton-Cartan gravitation.

Philosophers of physics and physicists have long been intrigued by the analogies and disanalogies between gravitational theories and gauge theories. Indeed, repeated attempts to collapse these disanalogies have made us acutely aware that there are fairly general obstacles to doing so. Nonetheless, there is a special case space-time dimensions) in which gravity is often claimed to be identical to a gauge theory. I subject this claim to philosophical scrutiny in this article. In particular, I analyse how the standard disanalogies can (...) be overcome in dimensions, and consider whether really licenses the interpretation of gravity as a gauge theory. Our conceptual analysis reveals more subtle disanalogies between gravity and gauge, and connects these to interpretive issues in classical and quantum gravity. 1 Introduction1.1 Motivation1.2 Prospectus2 Disanalogies3 Three-dimensional gravity and gauge3.1 gravity3.2 Chern–Simons3.2.1 Cartan geometry3.2.2 Overcoming obst-gauge via Cartan connections3.3 Disanalogies collapsed4 Two More Disanalogies4.1 What about the symmetries?4.2 The phase spaces of the two theories5 Summary and Conclusion. (shrink)

Graham Priest (1994) has argued that the following paradoxes all have the same structure: Russell’s Paradox, Burali-Forti’s Paradox, Mirimanoff’s Paradox, König’s Paradox, Berry’s Paradox, Richard’s Paradox, the Liar and Liar Chain Paradoxes, the Knower and Knower Chain Paradoxes, and the Heterological Paradox. Their common structure is given by Russell’s Schema: there is a property φ and function δ such that..

As a prolegomenon to understanding the sense in which dualities are theoretical equivalences, we investigate the intuitive `equivalence' of hyper-regular Lagrangian and Hamiltonian classical mechanics. We show that the symplectification of these theories provides a sense in which they are isomorphic, and mutually and canonically definable through an analog of `common definitional extension'.

In VAGUENESS AND DEGREES OF TRUTH, Nicholas Smith develops a new theory of vagueness: fuzzy plurivaluationism. -/- A predicate is said to be VAGUE if there is no sharply defined boundary between the things to which it applies and the things to which it does not apply. For example, 'heavy' is vague in a way that 'weighs over 20 kilograms' is not. A great many predicates -- both in everyday talk, and in a wide array of theoretical vocabularies, from (...) law to psychology to engineering -- are vague. -/- Smith argues, based on a detailed account of the defining features of vagueness, that an accurate theory of vagueness must involve the idea that truth comes in degrees. The core idea of degrees of truth is that while some sentences are true and some are false, others possess intermediate truth values: they are truer than the false sentences, but not as true as the true ones. Degree-theoretic treatments of vagueness have been proposed in the past, but all have encountered significant objections. In light of these, Smith develops a new type of degree theory. Its innovations include a definition of logical consequence that allows the derivation of a classical consequence relation from the degree-theoretic semantics, a unified account of degrees of belief and their relationships with degrees of truth and subjective probabilities, and the incorporation of semantic indeterminacy -- the view that vague statements need not have unique meanings -- into the degree-theoretic framework. -/- As well as being essential reading for those working on vagueness, Smith's book provides an excellent entry-point for newcomers to the area -- both from elsewhere in philosophy, and from computer science, logic and engineering. It contains a thorough introduction to existing theories of vagueness and to the requisite logical background. (shrink)

This paper defends the idea that there might be vagueness or indeterminacy in the world itself--as opposed to merely in our representations of the world--against the charges of incoherence and unintelligibility. First we consider the idea that the world might contain vague properties and relations ; we show that this idea is already implied by certain well-understood views concerning the semantics of vague predicates (most notably the fuzzy view). Next we consider the idea that the world might contain vague objects (...) ; we argue that an object is indeterminate in a certain respect (colour, size, etc.) just in case it is a borderline case of a maximally specific colour (size, etc.) property. Finally we consider the idea that the world as a whole might be indeterminate; we argue that the world is indeterminate just in case it lacks a determinate division into determinate objects. (shrink)

One of Tarski’s stated aims was to give an explication of the classical conception of truth—truth as ‘saying it how it is’. Many subsequent commentators have felt that he achieved this aim. Tarski’s core idea of defining truth via satisfaction has now found its way into standard logic textbooks. This paper looks at such textbook definitions of truth in a model for standard first-order languages and argues that they fail from the point of view of explication of the classical notion (...) of truth. The paper furthermore argues that a subtly different definition—also to be found in classic textbooks but much less prevalent than the kind of definition that proceeds via satisfaction—succeeds from this point of view. (shrink)

A common objection to theories of vagueness based on fuzzy logics centres on the idea that assigning a single numerical degree of truth -- a real number between 0 and 1 -- to each vague statement is excessively precise. A common objection to Bayesian epistemology centres on the idea that assigning a single numerical degree of belief -- a real number between 0 and 1 -- to each proposition is excessively precise. In this paper I explore possible parallels between these (...) objections. In particular I argue that the only good objection along these lines to fuzzy theories of vagueness does not translate into a good objection to Bayesian epistemology. An important part of my argument consists in drawing a distinction between two different notions of degree of belief, which I call dispositional degree of belief and epistemic degree of belief. (shrink)

A many-valued (aka multiple- or multi-valued) semantics, in the strict sense, is one which employs more than two truth values; in the loose sense it is one which countenances more than two truth statuses. So if, for example, we say that there are only two truth values—True and False—but allow that as well as possessing the value True and possessing the value False, propositions may also have a third truth status—possessing neither truth value—then we have a many-valued semantics in the (...) loose but not the strict sense. A many-valued logic is one which arises from a many-valued semantics and does not also arise from any two-valued semantics [Malinowski, 1993, 30]. By a ‘logic’ here we mean either a set of tautologies, or a consequence relation. We can best explain these ideas by considering the case of classical propositional logic. The language contains the usual basic symbols (propositional constants p, q, r, . . .; connectives ¬, ∧, ∨, →, ↔; and parentheses) and well-formed formulas are defined in the standard way. With the language thus specified—as a set of well-formed formulas—its semantics is then given in three parts. (i) A model of a logical language consists in a free assignment of semantic values to basic items of the non-logical vocabulary. Here the basic items of the non-logical vocabulary are the propositional constants. The appropriate kind of semantic value for a proposition is a truth value, and so a model of the language consists in a free assignment of truth values to basic propositions. Two truth values are countenanced: 1 (representing truth) and 0 (representing falsity). (ii) Rules are presented which determine a truth value for every proposition of the language, given a model. The most common way of presenting these rules is via truth tables (Figure 1). Another way of stating such rules—which will be useful below—is first to introduce functions on the truth values themselves: a unary function ¬ and four binary functions ∧, ∨, → and ↔ (Figure 2).. (shrink)

It is part of information theory folklore that, while quantum theory prohibits the generic cloning of states, such cloning is allowed by classical information theory. Indeed, many take the phenomenon of no-cloning to be one of the features that distinguishes quantum mechanics from classical mechanics. In this paper, we use symplectic geometry to argue that pace conventional wisdom, in the case where one does not include a machine system, there is an analog of the no-cloning theorem for classical systems. However, (...) upon adjoining a non-trivial machine system one finds that, pace the quantum case, the obstruction to cloning disappears for pure states. We then discuss the difference between this result and the quantum case, and show that it can be explained in terms of the rigidity of the theories' respective geometries. Finally, we discuss the relationship between this result and classical no-cloning arguments in the context of symmetric monoidal categories and statistical classical mechanics. (shrink)

Corporations despite their status as legally fictitious persons are not such, and to confound them with real persons in even the minimal legal sense is to negate much of the force of the concept of rights when applied to the society. When corporations have rights individual rights become meaningless. While corporations may need some form of protection to make them financially feasible investments, they need not be given the full protection of rights which are assigned to the individual. A much (...) attenuated version of corporate rights is warranted. I would argue against Werhane's notion of a corporation possessing “secondary rights” which can be asserted only after the claims of individual rights have been met. Ibid., p. 62.One solution to the problems raised in this essay would be to ascribe rights to individuals only. This could occur without interfering with the financial independence of the corporation by a simple legal prescription that individuals within a corporation be held responsible for their activities and that the corporation p e r se not be blamed for individual actions. This is consistent with the judgments against the Nazi war criminals who were denied the defense of justifying their actions on the basis of following orders. Responsibility for those actions which are the result of the workings of the “invisible hand” cannot be ascribed to any individual or group of individuals. Donaldson is helpful on this point in recommending an “office of social responsibility” be created as part of the corporation to monitor those actions which otherwise escape scrutiny. Donaldson, Corporations and Morality, p. 207.A more radical solution is to restructure the corporation in such a way as to introduce the element of democracy in the workplace. Opponents would argue that such a practice would diminish the profit-making potential of the corporation by limiting the discretion of the corporate officers in making decisions. Similar arguments have been advanced against the democratic state. Yet democratic states have proven to be viable institutions capable of effective action and demonstrably more survivable than the authoritarian regimes which are the analogs of the corporation.Given the current hierarchical structure of the corporation and its ability to dissolve in the face of questions of responsibility, individual accountability is the only viable solution. This requires that members of the corporation not find cover behind the “invisible hand.” This in turn necessitates the granting of a greater degree of discretionary power to corporate functionaries at all levels. We cannot be responsible for a state of affairs over which we have no effective control. The courts would make the ultimate decision as to the assignation of responsibility in particular cases of corporate crime, with the stipulation that the ascription be to an individual and not “the corporation.” By making corporate officers individually responsible for their actions a much more effective deterrent to corporate crimes would be created. Corporations can easily afford most of the fines that are imposed on them, and corporations cannot be put in prison.The view of the corporation advanced here puts it in a legal and moral position greatly inferior to that of the individual as well as the state. Consequently, corporate needs and welfare must remain a tertiary concern. The rights of the individual must figure primarily, and the welfare of the state as preserver of those rights secondarily, in social policy decisions. The libertarian vision of the corporation is therefore a misguided result of the conflation of the corporation and the individual in the legal and moral realms. Corporations and individuals are ontologically distinct entities and must be recognized as such. The failure to do so has enabled corporations to abrogate individual rights with legal and moral impunity. Such a situation is inconsistent with the demands of a rights-based democracy. (shrink)

Simply put, charter schools have not lived up to their advocates’ promise of equity. Using examples of tangible civil rights gains of the twentieth century and extending feminist theories of invisible labor to include the labor of democracy, the authors argue that the charter movement renders invisible the labor that secured civil protections for historically marginalized groups. The charter movement hangs a quality public education—previously recognized as a universal guarantee—on the education consumer’s ability to navigate a marketplace. The authors conclude (...) that the neoliberal agenda of positioning choice as the best mechanism for securing an education rolls back the rights that were already secured through the labor of democracy. (shrink)

This paper presents a new argument against A-theories of time. A-theorists hold that there is an objective now (present moment) and an objective flow of time, the latter constituted by the movement of the objective now through time. A-theorists therefore want to draw different pictures of reality—showing the objective now in different positions—depending upon the time at which the picture is drawn. In this paper it is argued that the times at which the different pictures are drawn may be taken (...) to be normal times or hypertimes. If they are normal times then the A-theory is inconsistent, or else collapses to the B-theory—and appealing to primitive tense operators will not help A-theorists avoid this conclusion. If the times are hypertimes then the A-theory is consistent, but deeply problematic none the less. (shrink)

Beyond Health applies post-structuralist and postmodern ideas to issues of health and health care to provide a radical re-think of how health is to be understood. It offers a perspective in which health is seen as an affirmation of potential rather than as a narrow biopsychosocial construct. The author develops his notion of arche-health and in so doing provides a lucid account of a wide range of post-structuralist and postmodern theoretical perspectives and their relevance to the field of health. This (...) text explains complex ideas so even a reader with no previous background in the topic can grasp it. In each chapter the author explains and applies a selection of theoretical perspectives. (shrink)

To date no investigation has sought to interpret key themes in Aristotle’s writings on metaphysics, e.g., substance, potentiality, actuality, proximate cause, etc., within the context of a temporal logic or logic of events. Essentially, what follows is a programmatic effort to interpret aspects of Aristotle’s insights in Book Lambda of the Metaphysics in terms of recent advances in the development of a temporal logic, while being attentive to the sense of the original text as far as possible. The significance of (...) such an enterprise lies in unearthing and clarifying conceptual interconnections in Aristotle’s metaphysical writings which would be difficult to fathom through other means. This project, however exploratory in its present form, seems feasible partly because of the fact that at numerous points in Aristotle’s thesis process metaphors from the study of biology are strikingly evident. Also, there is additional justification for the suggested analysis in that his work involves repeated references to the “lived” activity of one’s inquiring into the nature of things. Thus a view of Aristotle’s pronouncements which presupposes a logic of events, where events are analysed pragmatically, i.e., in terms of a language-user and the extension of whatever is claimed to have occurred, is not alien to the mode of expression with which he presents his views. (shrink)

Rovelli’s “Why Gauge?” offers a parable to show that gauge-dependent quantities have a modal and relational physical significance. We subject the morals of this parable to philosophical scrutiny and argue that, while Rovelli’s main point stands, there are important disanalogies between his parable and Yang-Mills type gauge theory.

In this paper, I discuss one form of the idea that spacetime and gravity might ‘emerge’ from quantum theory, i.e. via a holographic duality, and in particular via AdS/CFT duality. I begin by giving a survey of the general notion of duality, as well as its connection to emergence. I then review the AdS/CFT duality and proceed to discuss emergence in this context. We will see that it is difficult to find compelling arguments for the emergence of full quantum gravity (...) from gauge theory via AdS/CFT, i.e. for the boundary theory's being metaphysically more fundamental than the bulk theory. (shrink)

In this superb introduction, Nicholas Dent covers the whole of Rousseau's thought. Beginning with a helpful overview of Rousseau's life and works, he introduces and assesses Rousseau's central ideas and arguments. These include the corruption of modern civilization, the state of nature, his famous theories of _amour de soi _and _amour propre_, education, and his famous work _Emile_. He gives particular attention to Rousseau's theories of democracy and freedom found in his most celebrated work, _The Social Contract_, and explains (...) what Rousseau meant by the 'general will'. (shrink)

When considering other persons, the human mind draws from folk theories of biology, physics, and psychology. Studies have examined the extent to which people utilize these folk theories in inferring whether or not God has human-like biological, physical, and psychological constraints. However, few studies have examined the way in which these folk attributions relate to each other, the extent to which attributions within a domain are consistent, or whether cultural factors influence human-like attributions within and across domains. The present study (...) assessed 341 individuals’ attributions of anthropomorphic properties to God in three domains (psychological, biological, and physical), their religious beliefs, and their engagement in religious practices. Three Confirmatory Factor Analyses tested hypothetical models of the underlying structure of an anthropomorphic concept of God. The best fitting model was the “Hierarchical Dimensions Concept,” the analyses indicated one overall dimension of anthropomorphism with three sub-domains. Additionally, participants’ religiosity was negatively related to attributing human-like psychological properties to God, suggesting that the more people engage with their religion, the less they think about God as having a ‘human-like’ mind. Religiosity was positively related to individual consistency scores in the biological domain. In other words, greater religiosity was related to less consistent answers about God’s biological properties. As a result, the findings of the current study also suggest that individuals do not just vary between each other in how much they anthropomorphize God, but additionally, variation exists in the type of anthropomorphic reasoning used within an individual person’s concept of God. (shrink)

Philosopher Nick Pappas invites us to join the conversation as a few wise friends explore what it takes to live a meaningful life, to produce meaningful art, and to support others in their own efforts to fulfill their potential. How do we make the most of our lives? Is there a meaning, a goal, a purpose? Is it all a matter of chance or do we each have a destiny that beckons? Can we knowingly move toward it, and can we (...) choose to avoid it? From the rational, logical perspective on one hand, and that of intuition, passion and inspiration on the other, different characters address these questions over a series of exchanges that encourage us to pause, taking a deeper look at how we're living our lives and shaping who we are. (shrink)

"Rule" adopts the tradition of political philosophy begun by Socrates, refined by Xenophon and Plato. The book concentrates on something the characters call life-without-rule. What would that be? Is it a sort of utopia? How does it differ from anarchy? What makes it so appealing and what are the trade-offs?

This work brings under the centrally unifying theme of 'rationality' some of the issues on values and personal responsibility he has addressed during his long ...

Violence and reason are related, if only because violence is done to reason every single day. All it takes is to fail to listen. Everything else, all the real violence, starts right there, including tough talk in lieu of rational argument and the violence of not allowing us to think things through. In a virtual conversation with other thoughtful people, we can evaluate and refine our own positions, gaining clarity and confidence.

At Providence St. Joseph Health in Oregon, many factors contribute to the integration and success of the ethics services. There are three principal lenses through which one can understand the distinct way in which the ethics services are operationalized and integrated: the theological foundations of ethics as a service, the institutional ecology, and the professionalization of the field of health care ethics. The authors review key realities that have shaped their work through these three lenses and then describe the activities (...) of the Providence Center for Health Care Ethics regarding its strategic objectives and clinical and administrative integration. (shrink)

I have argued for a picture of decision theory centred on the principle of Rationally Negligible Probabilities. Isaacs argues against this picture on the grounds that it has an untenable implication. I first examine whether my view really has this implication; this involves a discussion of the legitimacy or otherwise of infinite decisions. I then examine whether the implication is really undesirable and conclude that it is not.

Postmodernism and poststructuralism challenge fundamental positions in social theory. This book sets out some of the components of a postmodern social theory of health and healing, deriving from theorists including Derrida, Deleuze and Guattari, Foucault, Cixous and Kristeva. Nicholas J. Fox observes that the knowledge of the medical profession about the body, illness and health supplies the basis for medical dominance. The body of the patient is inscribed by discourses of professional `care,' an interaction which subjectifies the patient. Fox (...) explores the character of this power - and how it may be, and is, resisted. The book illustrates with detailed examples how the organization of health care and the caring relationship itself are sites for this contestation of power. Elements of feminist theory, and Derridean concepts of diffrance and intertextuality, supply the framework for the politics and ethics of the postmodern position on health. Deleuze and Guattari's radical challenge to psychoanalysis and familial repetitions within the healer/patient contact allows a re-reading of central ideas in medical sociology. While focusing upon the possibilities of postmodern social theory, the book demands a reappraisal of issues of structure, identity and knowledge in modernist medical sociology. Modernist sociology, Fox suggests, has been complicit in the creation of `the patient,' and of 'health' and 'illness.' Written with an emphasis on accessibility, this book explores the practical consequences of postmodern theory as well as familiarizing the reader with the concepts of postmodernism. (shrink)

Foundations of Relational Realism: A Topological Approach to Quantum Mechanics and the Philosophy of Nature by Michael Epperson and Elias Zafiris sets out to achieve three goals: to develop a version of Whiteheadian metaphysics that the authors call “relational realism”; to formalize relational realism in terms of category theory, in particular sheaf theory; and to use relational realism to solve the interpretative problems of quantum mechanics. These goals are ambitious, to say the least, and all this is leaving aside those (...) sections of FRR which argue that relational realism yields the key to understanding quantum gravity!The text is 388 pages long and comprises two parts. Part I, by Epperson, introduces relational realism and its application to quantum mechanics. Part II, by Zafiris, develops the sheaf theory formalism for relational realism. As the authors say, their exposition is “nonlinear”, and this feature of FRR, alon .. (shrink)

In this paper I present a new argument against vague identity — one that is more fundamental than existing arguments — and I also try to explain why we find the idea of vague identity puzzling, in a way that will dispel the puzzlement. In brief, my argument is this: to make clear sense of something, one must at least model it set-theoretically; but due to the special place of identity in set-theoretic models, any vague relation that one does model (...) set-theoretically will not be identity, for real identity will already be there, built into the background of the model, and perfectly precise. (shrink)

Study on the logic of normative discourse.

From Fine and Kamp in the 70’s—through Osherson and Smith in the 80’s, Williamson, Kamp and Partee in the 90’s and Keefe in the 00’s—up to Sauerland in the present decade, the objection continues to be run that fuzzy logic based theories of vagueness are incompatible with ordinary usage of compound propositions in the presence of borderline cases. These arguments against fuzzy theories have been rebutted several times but evidently not put to rest. I attempt to do so in this (...) paper. (shrink)

It's Game Time!: Games to Enhance Classroom Learning enables the teacher to decide when and how to use games to effectively complement their teaching philosophy and style to meet the needs of their students by providing over 40 games that can be used in any class at any level.