This note investigates the class of finite initial segments of the cumulative hierarchy of pure sets. We show that this class is first-order definable over the class of finite directed graphs and that this class admits a first-order definable global linear order. We apply this last result to show that FO = FO.

Special relativity is said to prohibit faster-than-light (superluminal) signaling, yet controversy regularly arises as to whether this or that physical phenomenon violates the prohibition. I argue that the controversy is a result of a lack of clarity as to what it means to ‘signal’, and I propose a criterion. I show that according to this criterion, superluminal signaling is not prohibited by special relativity.

Bell’s theorem is purported to demonstrate the impossibility of a local “hidden variable” theory underpinning quantum mechanics. It relies on the well-known assumption of ‘locality’, and also on a little-examined assumption called ‘statistical independence’ (SI). Violations of this assumption have variously been thought to suggest “backward causation”, a “conspiracy” on the part of nature, or the denial of “free will”. It will be shown here that these are spurious worries, and that denial of SI simply implies nonlocal correlation between spacelike (...) degrees of freedom. Lorentz-invariant theories in which SI does not hold are easily constructed: two are exhibited here. It is conjectured, on this basis, that quantum-mechanical phenomena may be modeled by a local theory after all. (shrink)

Gauge theories are theories that are invariant under a characteristic group of "gauge" transformations. General relativity is invariant under transformations of the diffeomorphism group. This has prompted many philosophers and physicists to treat general relativity as a gauge theory, and diffeomorphisms as gauge transformations. I argue that this approach is misguided.

Whereas one can conceive of a relational classical mechanics in which absolute space and time do not play a fundamental role, quantum mechanics does not readily admit any such relational formulation.

This paper examines some common measures of complexity, structure, and information, with an eye toward understanding the extent to which complexity or information‐content may be regarded as objective properties of individual objects. A form of contextual objectivity is proposed which renders the measures objective, and which largely resolves the puzzle of Maxwell's Demon.

General relativity is commonly thought to imply the existence of a unique metric structure for space-time. A simple example is presented of a general relativistic theory with ambiguous metric structure. Brans-Dicke theory is then presented as a further example of a space-time theory in which the metric structure is ambiguous. Other examples of theories with ambiguous metrical structure are mentioned. Finally, it is suggested that several new and interesting philosophical questions arise from the sorts of theories discussed.

The quantization of gravity represents an important attempt at reconciling the two seemingly incompatible frameworks that lie at the base of modern physics, quantum theory and general relativity. The dissertation begins by looking at the incompatibilities between the two frameworks. The incompatibility with quantum theory, it is argued, is rooted in the profound differences between general relativity and ordinary field theories. The dissertation goes on to look at how, in practice, these incongruities are treated in the canonical quantization program, and (...) argues that their treatment is such that it is unlikely to lead to a satisfactory physical theory. The dissertation concludes by arguing that quantum theory only makes sense when embedded in a classical theory. Thus the reconciliation of quantum theory and general relativity suggests that we look outside the bounds of ordinary quantum theory for the proper theoretical framework. (shrink)

In this paper we consider a naive conception of what a quantum theory of gravity might entail: a quantum-mechanically fluctuating gravitational field at each spacetime point. We argue that this idea is problematic both conceptually and technically.

David Albert and Barry Loewer have proposed a new interpretation of quantum mechanics which they call the Many Minds interpretation, according to which there are infinitely many minds associated with a given (physical) state of a brain. This interpretation is related to the family of many worlds interpretations insofar as it assumes strictly unitary (Schrödinger) time-evolution of quantum-mechanical systems (no reduction of the wave-packet). The Many Minds interpretation itself is principally motivated by an argument which purports to show that the (...) assumption of unitary evolution, along with some common sense assumptions about mental states (specifically, beliefs) leads to a certain nonphysicalism, in which there is a many-to-one correspondence between minds and brains. In this paper, I critically examine this motivating argument, and show that it depends on a mistaken assumption regarding the correspondence between projection operators and yes/no questions. (shrink)

Anthropic arguments in multiverse cosmology and string theory rely on the weak anthropic principle (WAP). We show that the principle, though ultimately a tautology, is nevertheless ambiguous. It can be reformulated in one of two unambiguous ways, which we refer to as WAP_1 and WAP_2. We show that WAP_2, the version most commonly used in anthropic reasoning, makes no physical predictions unless supplemented by a further assumption of "typicality", and we argue that this assumption is both misguided and unjustified. WAP_1, (...) however, requires no such supplementation; it directly implies that any theory that assigns a non-zero probability to our universe predicts that we will observe our universe with probability one. We argue, therefore, that WAP_1 is preferable, and note that it has the benefit of avoiding the inductive overreach characteristic of much anthropic reasoning. (shrink)

From classical mechanics to quantum field theory, the physical facts at one point in space are held to be independent of those at other points in space. I propose that we can usefully challenge this orthodoxy in order to explain otherwise puzzling correlations at both cosmological and microscopic scales.

Special relativity is said to prohibit faster-than-light (superluminal) signalling, yet controversy regularly arises as to whether this or that physical phenomenon violates the prohibition. I argue that the controversy is a result of a lack of clarity as to what it means to `signal', and I propose a criterion. I show that although we have no reason to think that one can send signals faster than light, this is not prohibited by special relativity.

In 1949, Kurt Gödel found a solution to the field equations of general relativity that described a spacetime with some unusual properties. This “Gödel universe” permitted “closed timelike curves,” hence a kind of time travel, and it did not admit of decomposition into successive moments of time. In the same year, he published “A Remark about the Relationship between Relativity Theory and Idealistic Philosophy”, in which he used certain properties of this solution to argue for a kind of temporal idealism, (...) whereby “change [is] an illusion or an appearance due to our special mode of perception”. The paper is short and to the point, but the argument has usually been regarded as fatally flawed. In his Gödel Meets Einstein: Time Travel in the Gödel Universe, Palle Yourgrau makes a case for Gödel. (shrink)

We argue that computation via quantum mechanical processes is irrelevant to explaining how brains produce thought, contrary to the ongoing speculations of many theorists. First, quantum effects do not have the temporal properties required for neural information processing. Second, there are substantial physical obstacles to any organic instantiation of quantum computation. Third, there is no psychological evidence that such mental phenomena as consciousness and mathematical thinking require explanation via quantum theory. We conclude that understanding brain function is unlikely to require (...) quantum computation or similar mechanisms. (shrink)

This is a review of Yourgrau's book, the second edition of his "The Disappearance of Time.".

Review of "Space, Time, and Stuff" by Frank Arntzenius.

Posthumous Life launches critical life studies: a mode of inquiry that neither endorses nor dismisses a wave of recent "turns" toward life, matter, vitality, inhumanity, animality, and the real. Questioning the nature and limits of life in the natural sciences, the essays in this volume examine the boundaries and significance of the human and the humanities in the wake of various redefinitions of what counts as life. They explore the possibility of theorizing life without assuming it to be either a (...) simple substrate or an always-mediated effect of culture and difference. Posthumous Life provides new ways of thinking about animals, plants, humans, difference, sexuality, race, gender, identity, the earth, and the future. (shrink)

Fitouchi et al.'s moral disciplining approach highlights the significant role social evaluations of self-control appear to play in human moral judgment. At the same time, attributing the wide range of puritanical concerns to a singular focus on self-control seems unwarranted. A more pluralistic approach would enrich understanding of moral judgment in all its cultural and historical diversity.

The subdiscipline of public philosophy is in its adolescence. The mark of maturity in philosophy is the introduction of a metatheoretical discourse. The niche subfield “experimental philosophy” tries to incorporate social scientific methods, but like public philosophy, it too is in its adolescence, often falling back on haphazard and poorly defined methodologies. The definition of public philosophy distinguishes between professional philosophers and what would best be termed amateurs, where professional philosophers are analogous to professional athletes – credentialed individuals who do (...) philosophy full time, are paid for their work, and are usually affiliated with education or research‐focused institutions. Public philosophy must contend with the problems of expertise and wisdom, in so far as disciplinary specialization presume a certain level of each. Academic philosophy condemns public philosophy for failing to meet a set of imagined idealized standards that professors romanticize but also fail to meet. (shrink)

1. t. Optische und elektromagnetische erscheinungen unter dem einfluss von bewegungen.--2. t. Die weitere relativitätstheorie.

Physicians have an ethical responsibility to their patients to offer the best available medical care. This responsibility conflicts with their role as gatekeepers of the limited health care resources available for all patients collectively. It is ethically untenable to expect doctors to face this trade-off during each patient encounter; the physician cannot be expected to compromise the wellbeing of the patient in the office in favour of anonymous patients elsewhere. Hence, as in other domains of public policy where individual and (...) collective interests conflict, some form of collective solution is required. Collective solutions may take the form of placing explicit resource constraints on resources available to physicians, or clinical practice guidelines that recognise cost-effective care as acceptable. Such solutions will be politically and ethically sustainable only if patients as citizens of the larger population accept the need for rationing of limited resources in health care. (shrink)

Steven Crowell has been for many years a leading voice in debates on twentieth-century European philosophy. This volume presents thirteen recent essays that together provide a systematic account of the relation between meaningful experience and responsiveness to norms. They argue for a new understanding of the philosophical importance of phenomenology, taking the work of Husserl and Heidegger as exemplary, and introducing a conception of phenomenology broad enough to encompass the practices of both philosophers. Crowell discusses Husserl's analyses of first-person (...) authority, the semantics of conscious experience, the structure of perceptual content, and the embodied subject, and shows how Heidegger's interpretation of the self addresses problems in Husserl's approach to the normative structure of meaning. His volume will be valuable for upper-level students and scholars interested in phenomenological approaches to philosophical questions in both the European and the analytic traditions. (shrink)

Baruch Spinoza (1632-1677) was one of the most important philosophers of all time; he was also one of the most radical and controversial. The story of Spinoza's life takes the reader into the heart of Jewish Amsterdam in the seventeenth century and, with Spinoza's exile from Judaism, into the midst of the tumultuous political, social, intellectual, and religious world of the young Dutch Republic. This new edition of Steven Nadler's biography, winner of the Koret Jewish Book Award for biography (...) and translated into a dozen languages, is enhanced by exciting new archival discoveries about his family background, his youth, and the various philosophical, political, and religious contexts of his life and works. There is more detail about his family's business and communal activities, about his relationships with friends and correspondents, and about the development of his writings, which were so scandalous to his contemporaries. (shrink)

This chapter proposed a novel design methodology called Value-Sensitive Design and its potential application to the field of artificial intelligence research and design. It discusses the imperatives in adopting a design philosophy that embeds values into the design of artificial agents at the early stages of AI development. Because of the high risk stakes in the unmitigated design of artificial agents, this chapter proposes that even though VSD may turn out to be a less-than-optimal design methodology, it currently provides a (...) framework that has the potential to embed stakeholder values and incorporate current design methods. The reader should begin to take away the importance of a proactive design approach to intelligent agents. (shrink)

From Pulitzer Prize-finalist Steven Nadler, an engaging guide to what Spinoza can teach us about life’s big questions In 1656, after being excommunicated from Amsterdam’s Portuguese-Jewish community for “abominable heresies” and “monstrous deeds,” the young Baruch Spinoza abandoned his family’s import business to dedicate his life to philosophy. He quickly became notorious across Europe for his views on God, the Bible, and miracles, as well as for his uncompromising defense of free thought. Yet the radicalism of Spinoza’s views has (...) long obscured that his primary reason for turning to philosophy was to answer one of humanity’s most urgent questions: How can we lead a good life and enjoy happiness in a world without a providential God? In Think Least of Death, Pulitzer Prize–finalist Steven Nadler connects Spinoza’s ideas with his life and times to offer a compelling account of how the philosopher can provide a guide to living one’s best life. In the Ethics, Spinoza presents his vision of the ideal human being, the “free person” who, motivated by reason, lives a life of joy devoted to what is most important—improving oneself and others. Untroubled by passions such as hate, greed, and envy, free people treat others with benevolence, justice, and charity. Focusing on the rewards of goodness, they enjoy the pleasures of this world, but in moderation. “The free person thinks least of all of death,” Spinoza writes, “and his wisdom is a meditation not on death but on life." An unmatched introduction to Spinoza’s moral philosophy, Think Least of Death shows how his ideas still provide valuable insights about how to live today. (shrink)

From the beginning of the scientific revolution, scientists, philosophers, and laypersons have been concerned about the effects of knowledge on social relations. Although views differ about the details of this knowledge-society interface, most observers have understood that the kind of knowledge that emanates from establishedscience can indeed be quite powerful in practice. In exploring both the nature of race science discourse and selected features of the practical context within which it resonates effectively, the authors' investigationsof this field and its contribution (...) to the Holocaust represent an effort to specify some of the things that make knowledge powerful. (shrink)

Mixing passion and humor, a personal work of literary criticism that demonstrates the power of our greatest books to illuminate our lives. Why do we read literature? For Arnold Weinstein, the answer is clear: literature allows us to become someone else. Literature changes us by giving us intimate access to an astonishing variety of other lives, experiences, and places across the ages. Reflecting on a lifetime of reading, teaching, and writing, The Lives of Literature explores, with passion, humor, and (...) whirring intellect, a professor's life, the thrills and traps of teaching, and, most of all, the power of literature to lead us to a deeper understanding of ourselves and the worlds we inhabit. As an identical twin, Weinstein experienced early the dislocation of being mistaken for another person--and of feeling that he might be someone other than he had thought. In vivid readings elucidating the classics of authors ranging from Sophocles to James Joyce and Toni Morrison, he explores what we learn by identifying with their protagonists, including those who, undone by wreckage and loss, discover that all their beliefs are illusions. Weinstein masterfully argues that literature's knowing differs entirely from what one ends up knowing when studying mathematics or physics or even history: by entering these characters' lives, readers acquire a unique form of knowledge--and come to understand its cost. In The Lives of Literature, a master writer and teacher shares his love of the books that he has taught and been taught by, showing us that literature matters most because we never stop discovering who we are. (shrink)

At the end of his writing, “La Différance,” Jacques Derrida deconstructs his text by taking on an authoritative rhetorical tone. Reflecting back on his discussion of metaphysics, Derrida announces that “(t)here will be no unique name, even if it were the name of Being”. And then he takes a surprising phenomeno-logical turn and advocates a privileged attitude or disposition towards his reflection:And we must think this without nostalgia, that is, outside the myth of a purely maternal or paternal language, a (...) lost native country of thought. On the contrary, we must affirm this, in the sense in which Nietzsche puts affirmation into play, in a certain laughter and a certain step of the dance. (shrink)

In Group Psychology and the Analysis of the Ego Freud addresses the problem of how groups are formed or of how society is possible. The question of the possibility of society presupposes that in some sense human beings are not thoroughly social beings, that they must agree to or be made to participate in a common life in which they submit to general principles regulating their conduct towards one another. The notion that the grounds for social order cannot be taken (...) for granted originates in the beginnings of modern thought, particularly in Hobbes’ Leviathan, in which the classical idea that human beings are essentially social and political animals is rejected in favor of the view that the individual is in a basic sense independent of society and opposed to it, and that society is merely a conventional unity. For Hobbes, society is primarily a defensive alliance guaranteed by fear of a sovereign who constitutes a legal order. Social order, then, is imposed externally on the individual, who submits to regulation only on the basis of prudence. The history of thought about the problem of order after Hobbes’ initial attempt to resolve it is a development of more refined motives for obedience, which culminates in Kant's notion of a self-legislated moral law. The importance of Kant's solution is that it provides a positive ground for society. Human beings do not merely submit to standards because they are inclined to, either out of fear or out of desire, but because they acknowledge a rational principle to which they give their voluntary assent. For Hobbes, society is at least an imposition and at most an expedient. For Kant, society may, indeed, be both an imposition and an expedient, but it is also an order of life that might be perfected. In Kant's view, human beings are imperfectly rational beings, not organisms entirely ruled by pleasure and pain, as they were for Hobbes. (shrink)

This book presents the thought of the Kyoto School in comparison with continental philosophers better known in the West and addresses the affiliation of some of its members with the militarism of the 1930s and 1940s.

While there are many competing accounts and scales of intellectual humility, philosophers and psychologists are generally united in treating it as an epistemically _beneficial_ disposition of _individual_ agents. I call the research guided by this supposition the _traditional approach_ to studying intellectual humility. The traditional approach is entirely understandable in light of recent findings that individual differences in intellectual humility are associated with various deleterious epistemic tendencies. Nonetheless, I argue that its near monopoly has resulted in an underestimation of important (...) limitations of human cognition. In particular, it neglects the fact that intellectual arrogance can be both deeply recalcitrant and significantly beneficial for bounded cognitive agents whose reliance on one another is profound. I propose to integrate these insights into the study of intellectual humility by treating it as a _collective virtue_ that gets manifested in the structure of epistemic environments. More specifically, it is an interactive virtue that harnesses and constrains intellectual arrogance to yield benefits for both individuals and collectives. I claim that this can happen only within _humbling environments_, such as forecasting tournaments and open institutional science. (shrink)

Richard Arthur and I proposed that the present in Minkowski spacetime should be thought of as a small causal diamond. That is, given two timelike separated events p and q, with p earlier than q, they suggested that the present is the set I+ ∩ I-. Mauro Dorato presents three criticisms of this proposal. I rebut all three and then offer two more plausible criticisms of the Arthur/Savitt proposal. I argue that these criticisms also fail.

This book introduces an account of cognitive architecture, Cognitive Pluralism, on which the basic units of understanding are models of particular content domains. Having many mental models is a good adaptive strategy for cognition, but models can be incompatible with one another, leading to paradoxes and inconsistencies of belief, and it may not be possible to integrate the understanding supplied by multiple models into a comprehensive and self-consistent "super model". The book applies the theory to explaining intuitive reasoning and cognitive (...) illusions and explores implications for epistemology, semantics, and disunity of science. (shrink)