This paper presents three studies exploring the relationship between emotional responses to classic cognitive developmental moral dilemmas and moral reasoning indices as measured by the Defining Issues Test (DIT). Each study indicated that certain moral dilemmas elicit varying levels of anger and sadness as compared to a neutral baseline. In each study, decreased moral reasoning was observed in those instances where reports in both sadness and anger were high following a dilemma. This did not occur, however, in those instances where (...) only sadness or anger was high following a dilemma. Affective inductions prior to taking the DIT (study 3) did not impact trends beyond that found for individual moral dilemmas in studies 1 and 2. Although certain dilemmas elicited affective states that temporarily influenced reasoning, in general participants? reasoning levels stayed consistent across dilemmas. Results are discussed in terms of the role of affect on the moral judgment process. (shrink)

If Einstein's equations are to describe a field theory of gravity in Minkowski spacetime, then causality requires that the effective curved metric must respect the flat background metric's null cone. The kinematical problem is solved using a generalized eigenvector formalism based on the Segré classification of symmetric rank 2 tensors with respect to a Lorentzian metric. Securing the correct relationship between the two null cones dynamically plausibly is achieved using the naive gauge freedom. New variables tied to the generalized eigenvector (...) formalism reduce the configuration space to the causality-respecting part. In this smaller space, gauge transformations do not form a group, but only a groupoid. The flat metric removes the difficulty of defining equal-time commutation relations in quantum gravity and guarantees global hyperbolicity. (shrink)

Previous study has asserted that education majors score lower on assessments of moral development than do other majors. However, important factors associated with moral development have been overlooked. This study investigated the degree to which moral developmental differences exist by accounting for some of the oversights observed in previous study. Samples of 51, 38, and 62 college students in education, psychology, and other majors were addressed in terms of their moral judgment development, moral sensitivity, nonprejudice, and attitudes about human rights (...) and civil liberties. Although some minor trends are seen in favor of psychology majors, results support that moral developmental differences are not as dire as previous study portends. The authors recommend efforts to account for the individual, academic, and extracurricular experiences associated with majors and universities so that continued understanding of the moral development and functioning of their students can occur. (shrink)

The oft-neglected issue of the causal structure in the flat spacetime approach to Einstein's theory of gravity is considered. Consistency requires that the flat metric's null cone be respected, but this does not automatically happen. After reviewing the history of this problem, we introduce a generalized eigenvector formalism to give a kinematic description of the relation between the two null cones, based on the Segre' classification of symmetric rank 2 tensors with respect to a Lorentzian metric. Then we propose a (...) method to enforce special relativistic causality by using the gauge freedom to restrict the configuration space suitably. A set of new variables just covers this smaller configuration space and respects the flat metric's null cone automatically. Respecting the flat metric's null cone ensures that the spacetime is globally hyperbolic, indicating that the Hawking black hole information loss paradox does not arise in the special relativistic approach to Einstein's theory. (shrink)

Recently the neglected issue of the causal structure in the flat space-time approach to Einstein's theory of gravity has been substantially resolved. Consistency requires that the flat metric's null cone be respected by the null cone of the effective curved metric. While consistency is not automatic, thoughtful use of the naive gauge freedom resolves the problem. After briefly recapitulating how consistent causality is achieved, we consider the flat Robertson–Walker Big Bang model. The Big Bang singularity in the spatially flat Robertson–Walker (...) cosmological model is banished to past infinity in Minkowski space-time. A modified notion of singularity is proposed to fit the special relativistic approach, so that the Big Bang becomes nonsingular. (shrink)

A physical framework has been proposed which describes manifestly covariant relativistic evolution using a scalar time τ. Studies in electromagnetism, measurement, and the nature of time have demonstrated that in this framework, electromagnetism must be formulated in terms of τ-dependent fields. Such an electromagnetic theory has been developed. Gravitation must also use of τ-dependent fields, but many references do not take the metric's dependence on τ fully into account. Others differ markedly from general relativity in their formulation. In contrast, this (...) paper outlines steps towards a τ-dependent classical intrinsic formulation of gravitation, patterned after general relativity, which we call parametrized general relativity (PGR). Given the existence of a preferred foliation, the Hamiltonian constraint is removed. We find that some nonmetricity in the connection is allowed, unlike in general relativity. Conditions on the allowable nonmetricity are found. Consideration of the initial value problem confirms that the metric signature should normally be O(3, 2) rather than O(4, 1). Following the lead of earlier works, we argue that concatenation (integration over τ) is unnecessary for relating parametrized physics to experience, and propose an alternative to it. Finally, we compare and contrast PGR with other relevant gravitational theories. (shrink)

Paralleling the formal derivation of general relativity as a flat spacetime theory, we introduce in addition a preferred temporal foliation. The physical interpretation of the formalism is considered in the context of 5-dimensional “parametrized” and 4-dimensional preferred frame contexts. In the former case, we suggest that our earlier proposal of unconcatenated parametrized physics requires that the dependence on τ be rather slow. In the 4-dimensional case, we consider and tentatively reject several areas of physics that might require a preferred foliation, (...) but find a need for one in the process (“flowing”) theory of time. We then suggest why such a foliation might reasonably be unobservable. (shrink)

At some time around August 324b.c., Antipater, the regent of Macedonia received orders from Alexander the Great that he was to be replaced with another eminent officer in the Macedonian court, Craterus. In addition to his removal from office, Antipater was ordered by Alexander to leave Macedonia for the East, bringing with him fresh levies to replenish those that comprised Craterus' own contingent of veterans from Opis. Though Craterus left Alexander's court shortly thereafter, neither man can be said to have (...) made the journey speedily or directly. A range of reasons has been given to explain Craterus' slow advancement, including the construction of infrastructure to allow the transportation of military resources from east to west, the poor state of his health, and the need to recruit more men. By the time of Alexander's death in June of 323, Craterus and his forces had only reached the province of Cilicia in southeastern Anatolia. Antipater's immediate reaction to his new role is not recorded, but what is known is that he remained steadfast in Macedonia, seemingly in defiance of Alexander's orders. It is the purpose of this paper to evaluate Antipater's refusal to depart from Macedonia, to explore whether tensions between Antipater and his replacement could account for Craterus' sluggish advance and to highlight the impact that Greek domestic politics had on Antipater's position in Macedonia. (shrink)

In a framework describing manifestly covariant relativistic evolution using a scalar time τ, consistency demands that τ-dependent fields be used. In recent work by the authors, general features of a classical parametrized theory of gravitation, paralleling general relativity where possible, were outlined. The existence of a preferred “time” coordinate τ changes the theory significantly. In particular, the Hamiltonian constraint for τ is removed From the Euler-Lagrange equations. Instead of the 5-dimensional stress-energy tensor, a tensor comprised of 4-momentum density mid flux (...) density only serves as the source. Building on that foundation, in this paper we develop a linear approximate theory of parametrized gravitation in the spirit of the flat spacetime approach to general relativity. Using a modified form of Kraichnan's flat spacetime derivation of general relativity, we extend the linear theory to a family of nonlinear theories in which the flat metric and the gravitational field coalesce into a single effective curved metric. (shrink)

This study addresses how moral judgment development, authenticity, and nonprejudice account for variance in scores pertaining to various motivational functions underlying volunteerism in order to clarify certain problems associated with previous research that has considered such relationships. In the study, 127 participants completed measurements that pertain to these constructs. Correlations revealed that moral judgment had a negligible relationship with both authenticity and nonprejudice, thereby affirming that the former construct is distinct from the latter two. Linear regression analyses supported that moral (...) judgment development and nonprejudice provided the strongest contributions to the variance of the considered indices of volunteer motivation. The motivational function underlying volunteerism was also recognized as an important factor that pertains to the observed contributions of variance. Findings are discussed in concert with and compared to prior considerations of relationships between moral judgment development and considerations of the moral self. Implications where moral education is concerned are also considered. (shrink)

The Assumption of Agency Theory revisits the Turing Test and€examines what Turing's assessor knew. It asks important questions about how machines vis à vis humans have been characterized since Turing, and seeks to reverse the trend of looking closely at the machine by asking what humans know in interaction and how they know it.€This book€characterizes a non-human agent that shows itself in interaction but is distinct from human agency: an agent acting with us in our ongoing reproduction and transformation of (...) structure. Turing predicted that at the end of the twentieth century, w. (shrink)

Proceedings of the Banff Congress on Theoretical Psychology. Philosophers and psychologists discuss the relative merits of their approaches to the study of consciousness.

Preview: /Review: Andrea J. Pitts and Mark William Westmoreland, eds. Beyond Bergson: Examining Race and Colonialism Through the Writings of Henri Bergson, 255 pages./ Among Bergson’s contributions to philosophical and empirical investigations; such as those centered on freedom, memory, and evolution; exists in the form of his last book, The Two Sources of Morality and Religion. It is interesting because, as many readers of Bergson have remarked, it does not seem to fit well, primarily in method, with his other endeavors (...) in the pursuit of philosophical exploration and elaboration. Having been mentored by a philosopher who holds this position, I have long shied away from the text that represents Bergson’s last concerted philosophical effort of inquiry. Meanwhile, having been intrigued by the possibility of a more just world and compelled by a desire to serve such an end, I was interested in envisioning what a Bergsonian philosophy of social justice, revolution, or morality would contain. Early on in my readings of Bergson, I felt the seeming applicability of Bergson’s method of intuition to moral and social questions. Over the years, I have devoted significant time to thinking through durational investigations of intensity to problems of social justice. While I have made some inroads to accomplishing this goal, I feel the journey has just begun for me. It was in this context that I was excited at the prospect of this book, and it is this book that has helped me to appreciate some of the ways that Bergson’s philosophy could be adapted to thinking through moral and social questions. To be clear, much work has been done in the way of expounding political or moral philosophies in which Bergson’s thought might be interpreted as a prelude. My reluctance to embrace Two Sources has been a self-imposed hindrance to my engaging in those extra-Bergsonian works for fear of running against the current of Bergson’s earlier texts. My reticence is intended to be taken as neither a slight of Bergson’s Two Sources nor a discounting of those who find inspiration in that work. (shrink)

Historians of the eugenics movement have long been ambivalent in their examination of the links between British hereditary researchers and Nazi Germany. While there is now a clear consensus that American eugenics provided significant material and ideological support for the Germans, the evidence remains less clear in the British case where comparatively few figures openly supported the Nazi regime and the left-wing critique of eugenics remained particularly strong. After the Second World War British eugenicists had to push back against the (...) accusation that their science was intrinsically dictatorial or totalitarian and, as a result, many of their early perceptions of the Nazis were ignored or rationalised away. Further, historians in recent years have focused more directly on the social reformist elements of eugenics, discussing the links between hereditary science and the birth control and feminist movements in addition to others. While undoubtedly making valuable contributions to the scholarly understanding of the eugenic milieu in the interwar years, these studies have neglected to recontextualize the sentiments of British eugenicists who did indeed view the Nazi government positively in the early years of the 1930s. This article argues that there was a significant, though not numerically sizable, faction in the British eugenics movement, though mostly outside the Eugenics Society itself, in the early 1930s that viewed the Nazi Germany as an admirable state for its implementation of eugenic principles. One of these figures was later interned by his own government for being too closely aligned with the German regime, though he argued that this affinity was driven by the quest for scientific truth rather than politics. Eugenics in Britain thus contained a greater diversity of views toward Germany than scholars have previously assumed, warranting more research into the individuals and organizations harbouring these views. (shrink)

A number of philosophers endorse, without argument, the view that there’s something it’s like consciously to think that p, which is distinct from what it’s like consciously to think that q. This thesis, if true, would have important consequences for philosophy of mind and cognitive science. In this paper I offer an argument for it, and attempt to induce examples of it in the reader. The argument claims it would be impossible introspectively to distinguish conscious thoughts with respect to their (...) content if there weren’t something it’s like to think them. This argument is defended against several objections. Then I use what I call “minimal pair” experiences—sentences read without and with understanding—to induce in the reader an experience of the kind I claim exists. Further objections are considered and rebutted. (shrink)

Despite its significance in neuroscience and computation, McCulloch and Pitts's celebrated 1943 paper has received little historical and philosophical attention. In 1943 there already existed a lively community of biophysicists doing mathematical work on neural networks. What was novel in McCulloch and Pitts's paper was their use of logic and computation to understand neural, and thus mental, activity. McCulloch and Pitts's contributions included (i) a formalism whose refinement and generalization led to the notion of finite automata (an important formalism in (...) computability theory), (ii) a technique that inspired the notion of logic design (a fundamental part of modern computer design), (iii) the first use of computation to address the mind–body problem, and (iv) the first modern computational theory of mind and brain. (shrink)

This paper replies a number of objections brought against the solution to Jennifer Saul's puzzle of failure of substitutivity in transparent contexts presented in my 2001 paper "Alter Egos and Their Names".

Some analytic philosophers have recently been defending the thesis that there’s “something it’s like” to consciously think a particular thought, which is qualitatively different from what it’s like to be in any other kind of conscious mental state and from what it’s like to think any other thought, and which constitutes the thought’s intentional content. (I call this the “intentional phenomenology thesis”). One objection to this thesis concerns the introspective availability of such content: If it is true that intentional phenomenology (...) is constitutive of intentional content, and that conscious phenomenology is always introspectively available, then it ought to be true that the content of any concept consciously entertained is always introspectively available. But it is not. For example, one can know introspectively that one is thinking that one knows that p without knowing introspectively what the content of the concept of knowledge is. Hence, it cannot be that intentional content is constituted by cognitive phenomenology. -/- I explore three responses to this objection. First, it is not clear that all of the contents of consciousness must be equally available to introspection. The capacities for conscious experience and introspective attention to it are distinct. It is not implausible that the resolving power of the latter might be insufficient to discern all of the fine-grained details of the former, or that its scope might be limited. Second, it is possible that in cases of incomplete accessibility one is entertaining only part of the concept the relevant term expresses in one’s language. In the knowledge case, for example, perhaps one is thinking only that one has justified true belief that p (one’s self-attribution of a thought about knowledge is in fact false). Finally, in such cases one might be consciously entertaining only part of the relevant concept, the rest remaining unconscious, and so unavailable to conscious introspection. I conclude that the objection is not decisive against the intentional phenomenology thesis. (shrink)

The Quality of Thought develops and defends the thesis that thinking is a kind of experience, characterized by a sui generis (“cognitive”) phenomenology, determinates of which are thought contents—what I call the phenomenal intentionality of thought thesis. It draws out the implications of this thesis for issues in philosophy of mind, philosophy of language and metaphysics. The view defended is radically internalist and intensionalist, and thus goes against received doctrines in philosophy of mind (externalism) and language (extensionalism). It also advocates (...) for a metaphysically neutral, non-naturalistic approach to the philosophical study of mind—what I call “Analytic Phenomenology”—in combination with agnosticism about the nature of the relationship between consciousness and physical reality. -/- The book identifies persistent problems with Dretske-inspired causal-informational-teleological theories of conceptual content, and diagnoses them as due to leaving out what it’s like to think a thought—to entertain or grasp a propositional (conceptual) content. It is thus a contribution to the increasingly influential Phenomenal Intentionality Research Program. It includes refutations of classic externalism (Putnam and Burge) and arguments that standard motivations for direct reference theories of names (Kripke), indexicals and demonstratives (Kaplan) are not inevitable, and alternative accounts of their (and their conceptual equivalents’) semantics. It also addresses outstanding challenges to the phenomenal intentionalist view of thought content, including the existence of unconscious thought, the elusiveness of conceptual phenomenology, the matching content problem, phenomenal compositionality, and the determination of conceptual reference. (shrink)

This volume brings together many prominent philosophical voices today focusing on issues of U. S. Latinx and Latin American identities and feminist theory. As such, the essays collected here highlight the varied and multidimensional aspects of gender, racial, cultural, and sexual questions impacting U.S. Latinx and Latin American communities today. The collection also highlights a number of important threads of analysis from fields as diverse as disability studies,aesthetics, literary theory, and pop culture studies.

James L. Anderson analyzed the novelty of Einstein's theory of gravity as its lack of "absolute objects." Michael Friedman's related work has been criticized by Roger Jones and Robert Geroch for implausibly admitting as absolute the timelike 4-velocity field of dust in cosmological models in Einstein's theory. Using the Rosen-Sorkin Lagrange multiplier trick, I complete Anna Maidens's argument that the problem is not solved by prohibiting variation of absolute objects in an action principle. Recalling Anderson's proscription of "irrelevant" variables, I (...) generalize that proscription to locally irrelevant variables that do no work in some places in some models. This move vindicates Friedman's intuitions and removes the Jones-Geroch counterexample: some regions of some models of gravity with dust are dust-free and so naturally lack a timelike 4-velocity, so diffeomorphic equivalence to is spoiled. Torretti's example involving constant curvature spaces is shown to have an absolute object on Anderson's analysis, viz., the conformal spatial metric density. The previously neglected threat of an absolute object from an orthonormal tetrad used for coupling spinors to gravity appears resolvable by eliminating irrelevant fields. However, given Anderson's definition, GTR itself has an absolute object : a change of variables to a conformal metric density and a scalar density shows that the latter is absolute. (shrink)

Reductive representationalism is the view that the qualitative properties associated with conscious experience are properties of the objects of the experience, and not of the experience itself. A prima facie problem for this view arises from dreams and hallucinations, in which qualitative properties are experienced but not instantiated in external objects of perception. I argue that representationalist attempts to solve it by appeal to actually uninstantiated properties are guilty of an absurdity akin to that which Ryle accused Descartes of in (...) the latter’s doctrine of immaterial substance. (shrink)

Failure of substitutivity of coreferential terms, one of the hallmarks of referential opacity, is standardly explained in terms of the presence of an expression (such as a verb of propositional attitude, a modal adverb or quotation marks) with opacity-inducing properties. It is thus assumed that any term in a complex expression for which substitutivity fails will be within the scope of an expression of one of these types, and that where there is an expression of one of these types there (...) will be failure of substitutivity for terms within its scope. I shall discuss a series of examples that have been thought to challenge this explanation by exhibiting failure of substitutivity of coreferential terms for positions not within the scope of any of the standard opacity-inducing expressions. If these examples are genuine, then the usual explanations of opacity are either incomplete – because there are sources of opacity other than those standardly identified, or completely mistaken – because the standardly identified expressions are not causes of opacity. I will argue, however, that the examples only exhibit failure of substitutivity of non-coreferential terms, and, hence, do not present a challenge to standard explanations of opacity. (shrink)

Taking its direction from references to Black and Indigenous struggles present in Leonard Harris’ oeuvre, this chapter turns to politicized acts of resistance among Black and Indigenous communities. More specifically, the essay traces the functions of cultural pluralism, value relativism, and representative heuristics within solidarity work that enact logics of resistance to settler colonization and anti-Black racism, among other forms of oppression. Through this analysis, we see that Harris’ views about insurrection and normativity entail that both oppression and resistance are (...) the result of multiplicitous forms of agency. (shrink)

The arguments of Fodor, Garret, Walker and Parkes [(1980) Against definitions, Cognition, 8, 263-367] are the source of widespread skepticism in cognitive science about lexical semantic structure. Whereas the thesis that lexical items, and the concepts they express, have decompositional structure (i.e. have significant constituents) was at one time "one of those ideas that hardly anybody [in the cognitive sciences] ever considers giving up" (p. 264), most researchers now believe that "[a]ll the evidence suggests that the classical [(decompositional)] view is (...) wrong as a general theory of concepts" [Smith, Medin & Rips (1984) A psychological approach to concepts: comments on Rey, Cognition, 17, 272], and cite Fodor et al. (1980) as "sounding the death knell for decompositional theories" [MacNamara & Miller (1989) Attributes of theories of meaning, Psychological Bulletin, 106, 360]. I argue that the prevailing skepticism is unmotivated by the arguments in Fodor et al. Fodor et al. misrepresent the form, function and scope of the decompositional hypothesis, and the procedures they employ to test for the psychological reality of definitions are flawed. I argue, further, that decompositional explanations of the phenomena they consider are preferable to their primitivist alternatives, and, hence, that there is prima facie reason to accept them as evidence for the existence of decompositional structure. Cognitive scientists would, therefore, do well to revert to their former commitment to the decompositional hypothesis. (shrink)

Call a thought whose expression involves the utterance of an indexical an indexical thought. Thus, my thoughts that I’m annoyed, that now is not the right time, that this is not acceptable, are all indexical thoughts. Such thoughts present a prima facie problem for the thesis that thought contents are phenomenally individuated -- i.e., that each distinct thought type has a proprietarily cognitive phenomenology such that its having that phenomenology makes it the thought that it is -- given the assumption (...) that phenomenology is intrinsically determined. My concern in this paper is to blunt standard intuitions concerning the external individuation of indexical thought contents, and to defend a conception of indexical thought content that is entirely phenomenal and internalist. (shrink)

Tim Crane maintains that beliefs cannot be conscious because they persist in the absence of consciousness. Conscious judgments can share their contents with beliefs, and their occurrence can be evidence for what one believes; but they cannot be beliefs, because they don’t persist. I challenge Crane’s premise that belief attributions to the temporarily unconscious are literally true. To say of an unconscious agent that she believes that p is like saying that she sings well. To say she sings well is (...) to say that when she sings, her singing is good. To say that she believes that p is to say that when she consciously considers the content that p she consciously affirms it. I also argue that the phenomenal view of intentional content Crane appears to endorse prima facie commits him to the view, at least controversial, perhaps incoherent, that there is unconscious phenomenology. Keywords : Belief; Consciousness; Unconscious; Intentional Content; Judgment. Credenze coscienti Riassunto: Tim Crane sostiene che le credenze non possano essere coscienti, dal momento che perdurano anche in assenza di coscienza. I giudizi formulati consapevolmente possono condividere i loro contenuti con le credenze e il loro verificarsi può essere una forma di evidenza a supporto di quanto uno crede. E tuttavia essi non possono essere credenze, dal momento che non perdurano. Nel commento metto in discussione la premessa di Crane secondo cui porre l’attribuzione di credenze su un piano temporaneamente inconscio sia vero in senso letterale. Dire di un agente non cosciente che esso creda che p è come dire che canti bene. Dire che canti bene è dire che quando canta, il suo canto è buono. Dire che crede che p è dire che quando considera consapevolmente il contenuto p costui lo afferma consapevolmente. Inoltre intendo affermare che la visione fenomenica del contenuto intenzionale che Crane sembra abbracciare lo impegni prima facie nei confronti della prospettiva, quantomeno controversa e probabilmente incoerente, secondo cui esisterebbe una dimensione fenomenica inconscia. Parole chiave: Credenza; Coscienza; Inconscio; Contenuto intenzionale; Giudizio. (shrink)

Externalism is the view that the intentional content of a mental state supervenes on its relations to objects in the extramental world. Nativism is the view that some of the innate states of the mind/brain have intentional content. I consider both “causal” and “nomic” versions of externalism, and argue that both are incompatible with nativism. I consider likely candidates for a compatibilist position – a nativism of “narrow” representational states, and a nativism of the contentless formal “vehicles” of representational states. (...) I argue that “narrow nativism” is either too implausible to appeal to the nativist – because it entails that innate representational states are lost as the mind becomes more experienced, or too costly to appeal to the externalist – because a reasonable version of it requires the analytic-synthetic distinction. Finally, I argue that “syntactic nativism” is indistinguishable from classical anti-nativist empiricism, given the latter’s broad tolerance for innate implementation of psychological principles and mechanisms. (shrink)

James L. Anderson analyzed the novelty of Einstein's theory of gravity as its lack of "absolute objects." Michael Friedman's related work has been criticized by Roger Jones and Robert Geroch for implausibly admitting as absolute the timelike 4-velocity field of dust in cosmological models in Einstein's theory. Using the Rosen-Sorkin Lagrange multiplier trick, I complete Anna Maidens's argument that the problem is not solved by prohibiting variation of absolute objects in an action principle. Recalling Anderson's proscription of "irrelevant" variables, I (...) generalize that proscription to locally irrelevant variables that do no work in some places in some models. This move vindicates Friedman's intuitions and removes the Jones-Geroch counterexample: some regions of some models of gravity with dust are dust-free and so naturally lack a timelike 4-velocity, so diffeomorphic equivalence to is spoiled. Torretti's example involving constant curvature spaces is shown to have an absolute object on Anderson's analysis, viz., the conformal spatial metric density. The previously neglected threat of an absolute object from an orthonormal tetrad used for coupling spinors to gravity appears resolvable by eliminating irrelevant fields. However, given Anderson's definition, GTR itself has an absolute object : a change of variables to a conformal metric density and a scalar density shows that the latter is absolute. (shrink)

It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov constructed (...) spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is Ockhamized, with most of the fluff removed. As developed nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix $diag$, the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and \emph{values} of the fields involved. Apart from coordinate order and the usual spinorial two-valuedness, Ogievetsky-Polubarinov spinors form, with the metric, a nonlinear geometric object, for which important results on Lie and covariant differentiation are recalled. Such spinors avoid a spurious absolute object in the Anderson-Friedman analysis of substantive general covariance. They also permit the gauge-invariant localization of the infinite-component gravitational energy in General Relativity. Density-weighted spinors exploit the conformal invariance of the massless Dirac equation to show that the volume element is absent. Thus instead of an arbitrary nonsingular matrix with 16 components, 6 of which are gauged away by a new local $O$ gauge group and one of which is irrelevant due to conformal covariance, one can, and presumably should, use density-weighted Ogievetsky-Polubarinov spinors coupled to the 9-component symmetric square root of the part of the metric that fixes null cones. Thus $\frac{7}{16}$ of the orthonormal basis is eliminated as surplus structure. Greater unity between spinors and tensors and the like is achieved, such as regarding conservation laws. Regarding the conventionality of simultaneity, an unusually wide range of $\epsilon$ values is admissible, but some extreme values are inadmissible. Standard simultaneity uniquely makes the spinor transformation law linear and independent of the metric, because transformations among the standard Cartesian coordinate systems fall within the conformal group, for which the spinor transformation law is linear. The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited. (shrink)

It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov constructed (...) spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is Ockhamized, with most of the fluff removed. As developed nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix $diag$, the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and \emph{values} of the fields involved. Apart from coordinate order and the usual spinorial two-valuedness, Ogievetsky-Polubarinov spinors form, with the metric, a nonlinear geometric object, for which important results on Lie and covariant differentiation are recalled. Such spinors avoid a spurious absolute object in the Anderson-Friedman analysis of substantive general covariance. They also permit the gauge-invariant localization of the infinite-component gravitational energy in General Relativity. Density-weighted spinors exploit the conformal invariance of the massless Dirac equation to show that the volume element is absent. Thus instead of an arbitrary nonsingular matrix with 16 components, 6 of which are gauged away by a new local $O$ gauge group and one of which is irrelevant due to conformal covariance, one can, and presumably should, use density-weighted Ogievetsky-Polubarinov spinors coupled to the 9-component symmetric square root of the part of the metric that fixes null cones. Thus $\frac{7}{16}$ of the orthonormal basis is eliminated as surplus structure. Greater unity between spinors and tensors and the like is achieved, such as regarding conservation laws. Regarding the conventionality of simultaneity, an unusually wide range of $\epsilon$ values is admissible, but some extreme values are inadmissible. Standard simultaneity uniquely makes the spinor transformation law linear and independent of the metric, because transformations among the standard Cartesian coordinate systems fall within the conformal group, for which the spinor transformation law is linear. The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited. (shrink)