The naive theory of properties states that for every condition there is a property instantiated by exactly the things which satisfy that condition. The naive theory of properties is inconsistent in classical logic, but there are many ways to obtain consistent naive theories of properties in nonclassical logics. The naive theory of classes adds to the naive theory of properties an extensionality rule or axiom, which states roughly that if two classes have exactly the same members, they are identical. In (...) this paper we examine the prospects for obtaining a satisfactory naive theory of classes. We start from a result by Ross Brady, which demonstrates the consistency of something resembling a naive theory of classes. We generalize Brady’s result somewhat and extend it to a recent system developed by Andrew Bacon. All of the theories we prove consistent contain an extensionality rule or axiom. But we argue that given the background logics, the relevant extensionality principles are too weak. For example, in some of these theories, there are universal classes which are not declared coextensive. We elucidate some very modest demands on extensionality, designed to rule out this kind of pathology. But we close by proving that even these modest demands cannot be jointly satisfied. In light of this new impossibility result, the prospects for a naive theory of classes are bleak. (shrink)

Cosmopsychism, the idea that the universe is conscious, is experiencing something of a revival as an explanation of consciousness in philosophy of mind and is also making inroads into philosophy of religion. In the latter field, it has been used to formulate models of certain forms of theism, such as pantheism and panentheism, and has also been proposed as a rival to the classical theism of the Abrahamic faiths. It has been claimed by Philip Goff that a certain form of (...) cosmopsychism, namely agentive cosmopsychism, poses a threat to classical theism because it can explain features of the universe like fine-tuning without having to deal with the problem of evil. This is because, unlike the classical theist, the cosmopsychist can deny at least one of the divine attributes motivating the problem of evil, namely omniscience, omnipotence, and omnibenevolence. In this paper, I shall consider which of the divine attributes the cosmopsychist should focus on when responding to the problem of evil and shall conclude that the rejection of omnibenevolence is the most satisfactory option. (shrink)

Quantum field theory, one of the most rapidly developing areas of contemporary physics, is full of problems of great theoretical and philosophical interest. This collection of essays is the first systematic exploration of the nature and implications of quantum field theory. The contributors discuss quantum field theory from a wide variety of standpoints, exploring in detail its mathematical structure and metaphysical and methodological implications.

A lot of the well known impact of the Gödel phenomena is in the form of painful messages telling us that certain major mathematical programs cannot be completed as intended. This aspect of Gödel – the delivery of bad news –is not welcomed, and defensive measures are now in place.

The notion that the metric field in general relativity can be understood as a property of space-time rests on a feature of the theory sometimes called universal coupling—the claim that rods and clocks “measure” the metric in a way that is independent of their constitution. It is pointed out that this feature is not strictly a consequence of the central dynamical tenets of the theory, and argued that the metric field would better be regarded as a field in space-time, rather (...) than as the very fabric of space-time itself. (shrink)

The purpose of the paper is to explore different aspects of the covariance of non-relativistic quantum mechanics. First, doubts are expressed concerning the claim that gauge fields can be 'generated' by way of imposition of gauge covariance of the single-particle wave equation. Then a brief review is given of Galilean covariance in the general case of external fields, and the connection between Galilean boosts and gauge transformations. Under time-dependent translations the geometric phase associated with Schrödinger evolution is non-invariant, (...) and the significance of this result is briefly analysed. The covariance properties of Schrödinger dynamics are then brought to bear on certain versions of the modal interpretation of quantum mechanics. The conclusion that it is only relational properties that can be considered coordinate- or gauge-independent elements of reality is reinforced by appeal to the theory of quantum reference frames due to Aharonov and Kauffher. , Cambridge University Press ; pp. 45-70.). (shrink)

We introduce a reducibility preordering between classes of countable structures, each class containing only structures of a given similarity type (which is allowed to vary from class to class). Though we sometimes work in a slightly larger context, we are principally concerned with the case where each class is an invariant Borel class (i.e. the class of all models, with underlying set $= \omega$, of an $L_{\omega_1\omega}$ sentence; from this point of view, the reducibility can be thought of as a (...) (rather weak) sort of $L_{\omega_1\omega}$-interpretability notion). We prove a number of general results about this notion, but our main thrust is to situate various mathematically natural classes with respect to the preordering, most notably classes of algebraic structures such as groups and fields. (shrink)

In the field of epistemology, naturalism holds that there are no a priori norms for guiding our belief-formation: we must start our inquiries in situ, assuming some beliefs and the general reliability of our basic cognitive practices to justify others. Naturalized epistemology seeks to motivate norms for cognitive enquiry on such a naturalistic basis. The author argues that, whilst naturalism must be embraced, this more abmitious project is in vain: to the extent one can justify naturalistic norms, they are not (...) needed for optimal rational belief-formation. (shrink)

The ISI Guides to the Major Disciplines are reader-friendly introductions to the most important fields of knowledge in the liberal arts. Written by leading scholars for both students and the general public, they will be appreciated by anyone desiring a reliable and informative tour of important subject matter. Each title offers an historical overview of a particular discipline, explains the central ideas of each subject, and evaluates the works of thinkers whose ideas have shaped our world. They will aid (...) students seeking to make better decisions about their course of study as well as general readers who wish to supplement their education. All who treasure the world of ideas and liberal learning will be motivated by these original and stimulating presentations. (shrink)

Philosophy of education has an honored place in the history of Western philosophical thought. Its questions are as vital now, both philosophically and practically, as they have ever been. In recent decades, however, philosophical thinking about education has largely fallen off the philosophical radar screen. Philosophy of education has lost intimate contact with the parent discipline to a regrettably large extent--to the detriment of both. The Oxford Handbook of Philosophy of Education is intended to serve as a general introduction to (...) key issues in the field, to further the philosophical pursuit of those issues, and to bring philosophy of education back into closer contact with general philosophy. Distinguished philosophers and philosophers of education, most of whom have made important contributions to core areas of philosophy, turn their attention in these 28 essays to a broad range of philosophical questions concerning education. The chapters are accessible to readers with no prior exposure to philosophy of education, and provide both surveys of the general domain they address, and advance the discussion in those domains in original and fruitful ways. Together their authors constitute a new wave of general philosophers taking up fundamental philosophical questions about education--the first such cohort of outstanding general philosophers to do so (in English) in a generation. (shrink)

An open U ⊆ ℝ is produced such that (ℝ, +, ·, U) defines a Borel isomorph of (ℝ, +, ·, ℕ) but does not define ℕ. It follows that (ℝ, +, ·, U) defines sets in every level of the projective hierarchy but does not define all projective sets. This result is elaborated in various ways that involve geometric measure theory and working over o-minimal expansions of (ℝ, +, ·). In particular, there is a Cantor set E ⊆ ℝ (...) such that (ℝ, +, ·, E) defines a Borel isomorph of (ℝ, +, ·, ℕ) and, for every exponentially bounded o-minimal expansion $\germ{R}$ of (ℝ, +, ·), every subset of ℝ definable in ( $\germ{R}$ , E) either has interior or is Hausdorff null. (shrink)

This volume is a tribute by his peers, and by younger scholars of the next generation, to Harvey M. Friedman, perhaps the most profound foundationalist since Kurt Godel. Friedman's researches, beginning precociously in his mid-teens, have fundamentally shaped our contemporary understanding of set theory, recursion theory, model theory, proof theory and metamathematics. His achievements in concept formation and theory formulation have also renewed the standard set by Godel and Alfred Tarski for the general intellectual interest and importance of technical (...) work in foundations. Friedman pioneered the now well-established and flourishing field of Reverse Mathematics, whose aim is to calibrate the intrinsic logico-mathematical consistency-strength of all the important theorems of mathematics. He has relentlessly pursued the full extent of the incompleteness phenomena into which Godel provided the first revealing glimpse. The Godel--Friedman program, as it is now deservingly called, seeks to find simple, natural and elegant mathematical statements of a combinatorial nature, that can be proved to be independent of set theory even when extended by powerful large-cardinal existence axioms. (shrink)

We say that E is R-sparse if f(Ek) has no interior, for each k 2 N and f : Rk ! R de nable in R. (Throughout, \de nable" means \de nable without parameters".) In this note, we consider the extent to which basic metric and topological properties of subsets of R de nable in (R;E)# are determined by the corresponding properties of subsets of R de nable in (R;E), when R is an o-minimal expansion of (R;<;+;0;1) and E is (...) R-sparse. The precise statement of the main result is a bit complicated, but we can state some special cases now. (shrink)

We give a consistency proof within a weak fragment of arithmetic of elementary algebra and geometry. For this purpose, we use EFA (exponential function arithmetic), and various first order theories of algebraically closed fields and real closed fields.

We explore the meaning and implications of Bourdieu’s construct of the field of power and integrate it into a wider conception of the formation and functioning of elites at the highest level in society. Corporate leaders active within the field of power hold prominent roles in numerous organizations, constituting an ‘elite of elites’, whose networks integrate powerful participants from different fields. As ‘bridging actors’, they form coalitions to determine institutional settlements and societal resource flows. We ask how some corporate (...) actors become hyper-agents, those actors who ‘make things happen’, while others remain ‘ordinary’ members of the elite. Three hypotheses are developed and tested using extensive data on the French business elite. Social class emerges as persistently important, challenging the myth of meritocratic inclusion. Our primary contribution to Bourdieusian scholarship lies in our analysis of hyper-agents, revealing the debts these dominants owe to elite schools and privileged classes. (shrink)

Educational Theory and Jewish Studies in Conversation: From Volozhin to Buczacz, by Harvey Shapiro, PhD, brings together two different fields of study—modern Jewish studies and contemporary educational theory—to provide new theoretical frameworks for their interaction. Shapiro provides alternative theoretical frameworks for the relationship between Jewish studies and educational theory and discusses different ways of developing and articulating this relationship between disciplines.

The aim of this paper is to illustrate four properties of the non-relativistic limits of relativistic theories: that a massless relativistic field may have a meaningful non-relativistic limt, that a relativistic field may have more than one non-relativistic limit, that coupled relativistic systems may be "more relativistic" than their uncoupled counterparts, and that the properties of the non-relativistic limit of a dynamical equation may differ from those obtained when the limiting equation is based directly on exact Galilean kinematics. These properties (...) are demonstrated through an examination of the non-relativistic limit of the familiar equations of first-quantized QED, i.e., the Dirac and Maxwell equations. The conditions under which each set of equations admits non-relativistic limits are given, particular attention being given to a gauge-invariant formulation of the limiting process especially as it applied to the electromagnetic potentials. The difference between the properties of a limiting theory and an exactly Galilean covariant theory based on the same dynamical equation is demonstrated by examination of the Pauli equation. (shrink)

Cells can transit between a range of stable epithelial and mesenchymal states and this has allowed the evolution of complex body forms. Epithelial to mesenchymal transition (EMT) and its reverse, mesenchymal to epithelial transition (MET), occur sequentially in development and organogenesis. EMT often accompanies transitions between stem‐like cells and their more differentiated progeny, as occurs at gastrulation, although the relevance of this had not been clarified. New findings from the cancer and cell reprogramming fields suggest that EMT and MET (...) can act as essential portals to stem cell character. Here, we review these findings in the broader context of EMT and MET with emphasis on stem cell biology. Using the heart as an example, we also explore the potential role of EMT/MET in organ regeneration. Understanding EMT and MET at a network level will give us new tools to probe stem cell character and enhance tissue repair. (shrink)

This article explores what it can mean to navigate notions of productive idiocy with aspects of mātauranga Māori (Māori knowledge), through some recent art-as-activism practices of the author, Aotearoa/New Zealand artist Mark Harvey. The works explicated include Waitākere Drag and Auau in the Te Wao Nui ā Tiriwa forest ranges and Productive Promises, which was part of TEZA (Trans Economic Zone of Aotearoa) in Ōtautahi/Christchurch. Avital Ronell’s Nietzschean-influenced perspectives on idiocy are drawn from in relation to Western and Māori (...) perspectives, along with Roger Sansi’s work on idiocy as dissent. From this aggregation of epistemologies, it is proposed that idiocy can be productive through art as activism and that this can align with Indigenous Māori perspectives on playing the fool as a form of resistance and refusal. Examples of Māori concepts engaged with here include perspectives on relationship building, human relationships with forests and the environment, and sovereignty under Te Tiriti o Waitangi (The Treaty of Waitangi). These art-activism projects promised micro-attempts at making positive changes for the communities in which they were situated through performatively generated actions from a Māori perspective within the shroud of ongoing colonization and capitalism. (shrink)

Notwithstanding that there is now widespread interest in the rights of victims, little has been written about the theoretical justification of state compensation. Here we offer an initial exploration of the field in the hope that others might venture further and examine the points at which issues of compensation connect with other general and specific themes in social and political philosophy. For example, there has been much discussion about communitarian conceptions of civil society but the practical implications of such views, (...) other than those relating to multiculturalism, have been largely ignored. The application of theory to social policy needs to take account of existing laws and institutions and these vary from one society and jurisdiction to another. In what follows we are principally concerned with the situation obtaining in the United Kingdom but the underlying issues are general ones [1]. (shrink)

Many men who work in women's professions experience a glass escalator effect that facilitates their advancement and upward mobility within these fields. Research finds that subtle aspects of the interactions, norms, and expectations in women's professions push men upward and outward into the higher-status, higher-paying, more “masculine” positions within these fields. Although most research includes minority men, little has explicitly considered how racial dynamics color these men's encounters with the mechanisms of the glass escalator. In this article, the (...) author examines how intersections of race and gender combine to shape experiences for minority men in the culturally feminized field of nursing and finds that the upward mobility implied by the glass escalator is not uniformly available to all men who do “women's work.” The author concludes that the glass escalator is a racialized concept and a gendered one and considers the implications of this for future studies of men in feminized occupations. (shrink)

This collection brings together fourteen contributions by authors from around the globe. Each of the contributions engages with questions about how local and global bioethical issues are made to be comparable, in the hope of redressing basic needs and demands for justice. These works demonstrate the significant conceptual contributions that can be made through feminists' attention to debates in a range of interrelated fields, especially as they formulate appropriate responses to developments in medical technology, global economics, population shifts, and (...) poverty. (shrink)

Context: Distributed language and interactivity are central members of a set of concepts that are rapidly developing into rigorous, exciting additions to 4E cognitive science. Because they share certain assumptions and methodological commitments with enactivism, the two have sometimes been confused; additionally, while enactivism is a well-developed paradigm, interactivity has relied more on methodological development and on a set of focal examples. Problem: The goal of this article is to clarify the core conceptual commitments of both interactivity-based and enactive approaches (...) to cognitive science by contrasting the two and highlighting their differences in assumptions, focus, and explanatory strategies. Method: We begin with the shared commitments of interactivity and enactivism - e.g., antirepresentationalism, naturalism, interdisciplinarity, the importance of biology, etc. We then give an overview of several important varieties of enactivism, including sensorimotor and anti-representationalist enactivism, and then walk through the history of the “core” varieties, taking care to contrast Maturana’s approach with that of Varela and the current researchers following in Varela’s footsteps. We then describe the differences between this latter group and interactivity-based approaches to cognitive science. Results: We argue that enactivism’s core concepts are explanatorily inadequate in two ways. First, they mis-portray the organization of many living systems, which are not operationally closed. Second, they fail to realize that most epistemic activity depends on engagement with non-local resources. Both problems can be dealt with by adopting an interactivity-based perspective, in which agency and cognition are fundamentally distributed and involve integration of non-local resources into the local coupling of organism and environment. Implications: The article’s primary goal is theoretical clarification and exposition; its primary implication is that enactive concepts need to be modified or extended in some way in order to explain fully many aspects of cognition and directed biological activity. Or, read another way, the article’s primary implication is that interactivity already provides a rich set of concepts for doing just that, which, while closely allied with enactivism in several ways, are not enactivist concepts. Constructivist content: The article consists entirely of a comparison between two constructivist fields of theory. Key Words: Interactivity, enactivism, distributed language, radical embodied cognitive science, ecological psychology, autonomy. (shrink)

Animals are commonplace in genomic research, yet to date there has been little direct interrogation of the position, role and construction of animals in the otherwise flourishing social science of genomics. Following a brief discussion of this omission, I go on to suggest that there is much of interest for the social sciences and the humanities in this field of science. I show that animal genomics not only updates and extends established debates about the use of animals in science and (...) society, but also raises novel issues and promotes new ways of thinking about what animals are, and the social and biological relationships between animals and humans. Organising the science of interest into six themes (sameness, difference and classification; crossing boundaries; the maintenance of borders; farmyard supermodels; laboratory supermodels; knowing, relating and looking at animals), for each I review some of the science that is being done, some of the conceptual issues that are raised, and some of the social science that is or could be done. I conclude by briefly considering the development of socially responsive policies for animal genomics. (shrink)

Animals are commonplace in genomic research, yet to date there has been little direct interrogation of the position, role and construction of animals in the otherwise flourishing social science of genomics. Following a brief discussion of this omission, I go on to suggest that there is much of interest for the social sciences and the humanities in this field of science. I show that animal genomics not only updates and extends established debates about the use of animals in science and (...) society, but also raises novel issues and promotes new ways of thinking about what animals are, and the social and biological relationships between animals and humans. Organising the science of interest into six themes (sameness, difference and classification; crossing boundaries; the maintenance of borders; farmyard supermodels; laboratory supermodels; knowing, relating and looking at animals), for each I review some of the science that is being done, some of the conceptual issues that are raised, and some of the social science that is or could be done. I conclude by briefly considering the development of socially responsive policies for animal genomics. (shrink)

The food-energy-climate change trilemma refers to the stark alternatives presented by the need to feed a world population growing to nine billion, the attendant risks of land conversion and use for global climate change, and the way these are interconnected with the energy crisis arising from the depletion of oil. Theorizing the interactions between political economies and their related natural environments, in terms of both finitudes of resources and generation of greenhouse gases, presents a major challenge to social sciences. Approaches (...) from classical political economy, transition theory, economic geography, and political ecology, are reviewed before elaborating the neo-Polanyian approach adopted here. The case of Brazil, analysed with an `instituted economic process’ framework, demonstrates how the trilemma is a spatial and historical socio-economic phenomenon, varying significantly in its dynamics in different environmental and resource contexts. The paper concludes by highlighting challenges to developing a social scientific theory in this field. (shrink)

This report of the Commission for Jewish Philosophy is based on information and personal bibliographies sent to the President of the Commission by over forty scholars in the field via the Questionnaire for SIEPM Commission Reports. Like the previous report that appeared in the Bulletin de philosophie médiévale 49 , 27-44, it is thus intended to be representative and not at all exhaustive. The report features a selected bibliography, arranged alphabetically by author, of over two hundred studies in the field (...) of medieval Jewish Philosophy, written in Western languages between the years 2008-2012. In addition, it provides a list of editions and translations in the field that have appeared during this period, as well as a list of Ph.D. dissertations in the field. The report also mentions some of the most important international conferences that have taken place, and some of the major projects. In general, the authors have tried to present a picture of the study of medieval Jewish Philosophy over the past five years, what has been its focus, what it has accomplished, and where it seems to be going. Finally, the authors address certain important issues that were raised at the meeting of the Commission for Jewish Philosophy at the 2012 SIEPM Congress in Freising. (shrink)

A wide-ranging collection of authoritative accounts covering all major areas of current research in Early Christian studies by a distinguished team of international authors. It is thematically arranged to encompass the inter-disciplinary nature of the field, examining history, literature, thought, practices, and material culture.

The cognitive and behavioral functions of the frontal lobes have been of great interest to neuroscientists, neurologists, psychologists and psychiatrists. Recent technical advances have made it possible to trace their neuroanatomical connections more precisely and to conduct evoked potential and neuroimaging studies in patients. This book presents a broad and authoritative synthesis of research progress in this field. It encompasses neuroanatomical studies; experiments involving temporal organization and working memory tasks in non-human primates; clinical studies of patients following frontal lobe excisions (...) for intractable epilepsy; metabolic imaging in schizophrenia and affective disorder; neurobehavioral studies of patients with dementia, frontal lobe tumors, and head injuries; magnetic resonance imaging methods for studying human frontal lobe anatomy; theoretical approaches to describing frontal lobe functions; and rehabilitation of patients with frontal lobe damage including their core problem of diminished awareness. Written by a distinguished group of neuroscientists, psychologists and clinicians, Frontal Lobe Function and Dysfunction provides the best current source of information on this region of the brain and its role in cognition, behavior and clinical disorders. (shrink)

'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen (...) world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity"--Provided by publisher. (shrink)

How have human cultures engaged with and thought about animals, plants, rocks, clouds, and other elements in their natural surroundings? Do animals and other natural objects have a spirit or soul? What is their relationship to humans? In this new study, Graham Harvey explores current and past animistic beliefs and practices of Native Americans, Maori, Aboriginal Australians, and eco-pagans. He considers the varieties of animism found in these cultures as well as their shared desire to live respectfully within larger (...) natural communities. Drawing on his extensive casework, Harvey also considers the linguistic, performative, ecological, and activist implications of these different animisms. (shrink)

In recent decades, historians have become increasingly interested in the logistical challenges and difficulties encountered by those responsible for the collection, preservation and safe transport of specimens from the field to the museum or laboratory. This article builds on this trend by looking beyond apparent successes to consider the practices and practicalities of shipboard travel and maritime and coastal collecting activities. The discussion focuses on the example of William Henry Harvey, who travelled to Australia in pursuit of cryptogams – (...) non-flowering plants like mosses, lichens and algae – in 1853. In his private correspondence to family and friends, Harvey offered insights into the challenges and obstacles faced by all collectors in the period. His experiences were fundamentally shaped by the material culture, embodied knowledge and physical constraints he encountered on the way. On one level, shipboard and onshore collecting activities were facilitated by the connections forged by new technologies and Britain's global empire. But they also depended on specific contexts and relied on local agents and actors, as well as on the physical and technical facilities (and limitations) of those doing the collecting. The examples of Harvey and others shed light on the real, ‘lived’ experiences of individual collectors, the difficulties and challenges they encountered in amassing their collections, and the networks of people on which they relied. (shrink)

Liberty and freedom are frequently invoked to justify political action. Presidents as diverse as Woodrow Wilson, Franklin Delano Roosevelt, John F. Kennedy, Ronald Reagan, and George W. Bush have built their policies on some version of these noble values. Yet in practice, idealist agendas often turn sour as they confront specific circumstances on the ground. Demonstrated by incidents at Abu Ghraib and Guantánamo Bay, the pursuit of liberty and freedom can lead to violence and repression, undermining our trust in universal (...) theories of liberalism, neoliberalism, and cosmopolitanism. Combining his passions for politics and geography, David Harvey charts a cosmopolitan order more appropriate to an emancipatory form of global governance. Political agendas tend to fail, he argues, because they ignore the complexities of geography. Incorporating geographical knowledge into the formation of social and political policy is therefore a necessary condition for genuine democracy. Harvey begins with an insightful critique of the political uses of freedom and liberty, especially during the George W. Bush administration. Then, through an ontological investigation into geography's foundational concepts—space, place, and environment—he radically reframes geographical knowledge as a basis for social theory and political action. As Harvey makes clear, the cosmopolitanism that emerges is rooted in human experience rather than illusory ideals and brings us closer to achieving the liberation we seek. (shrink)

C. To what extent, and in what sense, is the natural hierarchy of logical strengths rep resented by familiar systems ranging from exponential function arithmetic to ZF + j:V Æ V robust?

I respond to P. J. Ivanhoe's criticisms of my translation of a key passage in Wang Yangming.

An action is agentially perfect if and only if, if a person tries to perform it, they succeed, and, if a person performs it, they try to. We argue that trying itself is agentially perfect: if a person tries to try to do something, they try to do it; and, if a person tries to do something, they try to try to do it. We show how this claim sheds new light on the logical structure of intentional action, on the (...) question of whether basic actions are tryings, and on the notion of “options” in decision theory. On the way to these central ideas, we argue that a person can try to do something even if they believe it is impossible that they will succeed, that a person can try to do something even if they do not want to succeed, and that a person can try to do something even if they do not intend to succeed. (shrink)

The recent philosophy of Quantum Bayesianism, or QBism, represents an attempt to solve the traditional puzzles in the foundations of quantum theory by denying the objective reality of the quantum state. Einstein had hoped to remove the spectre of nonlocality in the theory by also assigning an epistemic status to the quantum state, but his version of this doctrine was recently proved to be inconsistent with the predictions of quantum mechanics. In this essay, I present plausibility arguments, old and new, (...) for the reality of the quantum state, and expose what I think are weaknesses in QBism as a philosophy of science. (shrink)

We review the dynamical approach to spacetime theories---in particular, its origins in the development of special relativity, its opposition to the contemporary `geometrical' approach, and the manner in which it plays out in general relativity. In addition, we demonstrate that the approach is compatible with the `angle bracket school'.

Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

Some people commonly know a proposition just in case they all know it, they all know that they all know it, they all know that they all know that they all know it, and so on. They commonly believe a proposition just in case they all believe it, they all believe that they all believe it, they all believe that they all believe that they all believe it, and so on. A long tradition in economic theory, theoretical computer science, linguistics (...) and philosophy has held that people have some approximation of common knowledge or common belief in a range of circumstances, for example, when they are looking at an object together, or when they have just discussed something explicitly in conversation. In this paper, I argue that people do not have any approximation of common knowledge or common belief in these circumstances. The argument suggests that people never have any approximation of common knowledge or common belief. (shrink)