Temporal betweenness in space-time is defined solely in terms of light signals, using a signalling relation that does not distinguish between the sender and the receiver of a light signal. Special relativity and general relativity are considered separately, because the latter can be treated only locally. We conclude that the (local) coherence of time can be described if we know only which pairs of space-time points are light-connected. Other consequences in the case of special relativity: (1) a (...) categorical axiom system exists in terms of nondirected light connection alone, with neither particle nor time order as a primitive concept, though we do not actually present the axioms; (2) any concept definable by coordinates is also definable in terms of nondirected light signals if and only if it is invariant under Lorentz transformations, translations, dilations, space reflections, and time reflections; and (3) any transformation of space-time (not necessarily continuous) which preserves nondirected light connection is a product of transformations just listed above. The bulk of the paper is devoted to proving that the definitions we give correspond to their intended interpretations in the usual space-time continua. (shrink)

The CPT theorem states that any causal, Lorentz-invariant, thermodynamically well-behaved quantum field theory must also be invariant under a reflection symmetry that reverses the direction of time, flips spatial parity, and conjugates charge. Although its physical basis remains obscure, CPT symmetry appears to be necessary in order to unify quantum mechanics with relativity. This paper attempts to decipher the physical reasoning behind proofs of the CPT theorem in algebraic quantum field theory. Ultimately, CPT symmetry is linked to (...) a systematic reversal of the C*-algebraic Lie product that encodes the generating relationship between observables and symmetries. In any physically reasonable relativistic quantum field theory it is always possible to systematically reverse this generating relationship while preserving the dynamics, spectra, and localization properties of physical systems. Rather than the product of three separate reflections, CPT symmetry is revealed to be a single global reflection of the theory’s state space. (shrink)

Attemts to explain causal paradoxes of Quantum Mechanics (QM) have tried to solve the problems within the framework of Quantum Electrodynamics (QED). We will show, that this is impossible. The original theory of QED by Dirac (Proc Roy Soc A117:610, 1928) formulated in its preamble four preliminary requirements that the new theory should meet. The first of these requirements was that the theory must be causal. Causality is not to be derived as a consequence of the theory since it was (...) a precondition for the formulation of the theory; it has been constructed so that it be causal. Therefore, causal paradoxes logically cannot be explained within the framework of QED. To transcend this problem we should consider the following points: Dirac himself stated in his original paper (1928) that his theory was only an approximation. When he returned to improve the theory later (Proc Roy Soc A209, 1951), he noted that the new theory “involves only the ratio e / m , not e and m separately”. This is a sign that although the electromagnetic effects (whose source is e ) are magnitudes stronger than the gravitational effects (whose source is m ), the two are coupled. Already in 1919, Einstein noted that “the elementary formations which go to make up the atom” are influenced by gravitational forces. Although in that form the statement proved not to be exactly correct, the effects of gravitation on QM phenomena have been established. The conclusion is that we should seek a resolution for the causal paradoxes in the framework of the General Theory of Relativity (GTR)—in contrast to QED, which involves only the Special Theory of Relativity (STR). We show that causality is necessarily violated in GTR. This follows from the curvature of the space-time. Although those effects are very small, one cannot ignore their influence in the case of the so-called “paradox phenomena”. (shrink)

A four-dimensional operator is shown to contain the operator-generators for rotation, scale, reflections, and boosts. The hypothesis is advanced that a physical system changes under this operator by at most a complex phase factor due to invariance against the choice of menial frame. A canonical transform gives a simple relation between space-time and energy-momentum. The basic conserved quantity is a four-dimensional angular momentum and/or coupling constant. The differential of this function contains a second-order differential product which is (...) constrained as a power series in the independent variable. The analysis explores the consequences of the model and shows its degree of correspondence to the standard models. (shrink)

This paper discusses the discrete symmetries of off-shell electromagnetism, the Stueckelberg–Schrodinger relativistic quantum theory and its associated 5D local gauge theory. Seeking a dynamical description of particle/antiparticle interactions, Stueckelberg developed a covariant mechanics with a monotonically increasing Poincaré-invariant parameter. In Stueckelberg’s framework, worldlines are traced out through the parameterized evolution of spacetime events, which may advance or retreat with respect to the laboratory clock, depending on the sign of the energy, so that negative energy trajectories appear as antiparticles when the (...) observer describes the evolution using the laboratory clock. The associated gauge theory describes local interactions between events (correlated by the invariant parameter) mediated by five off-shell gauge fields. These gauge fields are shown to transform tensorially under under space and time reflections—unlike the standard Maxwell fields—and the interacting quantum theory therefore remains manifestly Lorentz covariant. Charge conjugation symmetry in the quantum theory is achieved by simultaneous reflection of the sense of evolution and the fifth scalar field. Applying this procedure to the classical gauge theory leads to a purely classical manifestation of charge conjugation, placing the CPT symmetries on the same footing in the classical and quantum domains. In the resulting picture, interactions do not distinguish between particle and antiparticle trajectories—charge conjugation merely describes the interpretation of observed negative energy trajectories according to the laboratory clock. (shrink)

The inductive problem of extending the sequence 1, 3, 5, 7, is solved when these numbers are the ratios of the incremental distances fallen in successive unit times. The controlling fact is Galileo’s assumption that these ratios are invariant under a change of the unit of time. It admits few laws and only one is compatible with the two-numbered initial sequence 1, 3.

This paper defines and defends time-slice epistemology, according to which there are no essentially diachronic norms of rationality. First I motivate and distinguish two notions of time-slice epistemology. Then I defend time-slice theories of action under indeterminacy, i.e. theories about how you should act when the outcome of your decision depends on some indeterminate claim. I raise objections to a theory of action under indeterminacy recently defended by Robbie Williams, and I propose some alternative theories (...) in its place. Throughout this discussion, I defend a more general moral about action under indeterminacy, namely that time-slice theories are supported by strong analogies with ethical theories. In particular, our understanding of agents torn between interpretations of a decision situation should be guided by our theories of agents torn between incommensurable values. (shrink)

It is shown that, under certain conditions, a subset of the graph of a commutative residuated chain is invariant under a geometric reflection. This result implies that a certain part of the graph of the monoidal operation of a commutative residuated chain determines another part of the graph via the reflection on one hand, and tells us about the structure of continuity points of the monoidal operation on the other. Finally, these results are applied for the (...) subdomains of uniqueness problem, yielding new results. (shrink)

The paper is devoted to the role (function) of reflection in cognition and its modes (types) as part of the cognitive ability. Along with logical and transcendental reflection, Kant's transcendental shift (turn) is discussed, as well as the role of reflection in Kant's schematism (the ability to judge) and the formation of schemas. Particular attention is paid to another mode of reflection – reflexive switching, which underlies not only the formation of pure rational concepts and schemes (...) (Kant's concept of epigenesis; metaphysical deduction of categories), but the epigenesis of a priori forms of sensibility of space and (especially) time, connected with the Kantian synthesis of apprehension in the intuition. The article proposes an original conception of time, the so-called onion model of time, which is based on a reflexive (iterative) apperceptive ladder. (shrink)

The interest of scholars in the Anonymous of Iamblichus has been oriented in two main ways: it focuses either on the problem of its dating and authorship, or on one or other of the many themes which seem to have been on the agenda of the investigation of its author. My interest is in this second way and I propose to examine the author’s conception of time on the horizon of human nature. What makes man truly man (ἀνὴρ ἀληθῶς (...) ἀγαθός – DK 89, 4)? I intend to point the importance of the notion of time in the context of the human experience for who aspires to be an agathos, an enkratestaton. First, I will examine the lexical and semantic field of time employed to characterize the human condition and justify the prerogatives of author regarding human behaviour and action. Second, I will discuss the different aspects and contexts considered by the author to develop his argument. Among these aspects we have: (i) the distinction between what is innate in us (φῦναι), and what must be acquired through effort (φιλοπονία) and perseverance over time (πολὺν χρόνον); (ii) the opinion that anyone who wants to guide theirlife in view of what is beautiful and good (καλόν καὶ ἀγαθόν) must to be initiated very early (πρωιαίτατα), or should start “immediately and increasing to the end” (αὐτίκα τε ἀρξάμενον καὶ συναυξηθὲν είς τέλος); (iii) the need for him to use his own resources “always and not occasionally” (DK 89, 1–2). We will examine in our paper the passages in which a concept of time appears, in order to show that this is one of the centrepieces of the author’s argument and the way par excellence to understand the underlying concept of human nature at the thought of its author. (shrink)

The current study aimed to verify the multidimensional factor structure of teacher reflection and to examine the psychometric properties of a widely used teacher reflection scale using a large-scale representative dataset of 1,611 practicing Iranian English as a Foreign Language teachers. Furthermore, the measurement invariance of the hypothesized, a priori six-factor model of teacher reflection as measured by the adapted scale was assessed across gender and educational degree in Mplus program. In addition, the differences in latent (...) factor means of the same groups were examined. The result of confirmatory factor analysis revealed that teacher reflection was a multidimensional construct, encompassing six underlying factors. Overall, the adapted teacher reflection scale based on the 6-factor model showed an overall good fit. The results also indicated metric and scalar invariance which manifests that the factors underlying the adapted scale had an identical theoretical structure across educational degree/gender groups. Finally, there were significant factor mean differences in reflection components across gender and educational degree groups. A discussion of the results and their implications ensue. (shrink)

It is a remarkable fact that all processes occurring in the observable universe are irre- versible, whereas the equations through which the fundamental laws of physics are formu- lated are invariant under time reversal. The emergence of irreversibility from the funda- mental laws has been a topic of consideration by physicists, astronomers and philosophers since Boltzmann's formulation of his famous \H" theorem. In this paper we shall discuss some aspects of this problem and its connection with the dynamics (...) of space-time, within the framework of modern cosmology. We conclude that the existence of cosmological horizons allows a coupling of the global state of the universe with the local events deter- mined through electromagnetic processes. (shrink)

This paper is a sequel to various papers by the author devoted to the EPR correlation. The leading idea remains that the EPR correlation (either in its well-known form of nonseparability of future measurements, or in its less well-known time-reversed form of nonseparability of past preparations) displays the intrinsic time symmetry existing in almost all physical theories at the elementary level. But, as explicit Lorentz invariance has been an essential requirement in both the formalization and the conceptualization (...) of my papers, the noninvariant concept ofT symmetry has to yield in favor of the invariant concept ofPT symmetry, or even (asC symmetry is not universally valid) to that ofCPT invariance. A distinction is then drawn between “macro” special relativity, defined by invariance under the orthochronous Lorentz group and submission to the retarded causality concept, and “micro” special relativity, defined by invariance under the full Lorentz group and includingCPT symmetry. TheCPT theorem clearly implies that “micro special relativity”is relativity theory at the quantal level. It is thus of fundamental significance not only in the search of interaction Lagrangians, etc., but also in the basic interpretation of quantum mechanics, including the understanding of the EPR correlation. While the experimental existence of the EPR correlations is manifestly incompatible with macro relativity, it is fully consistent with micro relativity. Going from a retarded concept of causality to one that isCPT invariant has very radical consequences, which are briefly discussed. (shrink)

Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge transformations and Galilei transformations. (This was pointed out originally by Aharonov and Anandan, and in the case of Galilei transformations has recently been shown explicitly by Sjoeqvist, Brown and Carlsen.) In this paper, I introduce a phase, related to the standard geometric phase, for which phase differences are both gauge- and Galilei-invariant, and, (...) indeed, invariant under transformations to linearly accelerated coordinate systems. I discuss in what sense this phase can also be viewed as geometric, what its relation is to earlier proposals for making geometric phases invariant under gauge or Galilei transformations, and what is its classical analogue. I finally apply this invariant phase to Berry's derivation of the Aharonov-Bohm effect. (shrink)

The purpose of this paper is to review relativistic quantum theories with an invariant evolution parameter. Parametrized relativistic quantum theories (PRQT) have appeared under such names as constraint Hamiltonian dynamics, four-space formalism, indefinite mass, micrononcausal quantum theory, parametrized path integral formalism, relativistic dynamics, Schwinger proper time method, stochastic interpretation of quantum mechanics and stochastic quantization. The review focuses on the fundamental concepts underlying the theories. Similarities as well as differences are highlighted, and an extensive bibliography is provided.

It is claimed that the `problem of the arrow of time in classical dynamics' has been solved. Since all classical particles have a self-field (gravitational and in some cases also electromagnetic), their dynamics must include self-interaction. This fact and the observation that the domain of validity of classical physics is restricted to distances not less than of the order of a Compton wavelength (thus excluding point particles), leads to the conclusion that the fundamental classical equations of motion are not (...) invariant under time reversal: retarded self-interactions lead to different equations than advanced ones. Since causality (the time order of cause and effect) requires retarded rather than advanced self-interaction, it is causality which is ultimately responsible for the arrow of time. Classical motions described by equations with advanced self-interactions differ from retarded ones and do not occur in nature. (shrink)

The failed criterion of logical truth proposed by Carnap in the Logical Syntax of Language was based on the determinateness of all logical and mathematical statements. It is related to a conception which is independent of the specifics of the system of the Syntax, hints of which occur elsewhere in Carnap’s writings, and those of others. What is essential is the idea that the logical terms are invariant under reinterpretation of the empirical terms, and are therefore semantically determinate. A (...) certain objection to Carnap’s version of the invariance conception has been repeated several times in the literature. It is based on Gödel incompleteness, which is puzzling, since Carnap’s Syntax is otherwise quite careful to take account of Gödel. We show here that, in fact, the objection is invalid and is based on a confusion about determinacy. Sorting this out is worthwhile not only for the purpose of better understanding Carnap’s thinking in the Syntax, though. The invariance conception is also related to recent work in the philosophy of logic regarding “logicality”—the characterization of logical concepts—following a proposal of Tarski’s. It is even connected to some very recent developments in the foundations of mathematics. (shrink)

continent. 1.2 (2011): 141-144. This January, while preparing a new course, Robert Seydel was struck and killed by an unexpected heart attack. He was a critically under-appreciated artist and one of the most beloved and admired professors at Hampshire College. At the time of his passing, Seydel was on the brink of a major artistic and career milestone. His Book of Ruth was being prepared for publication by Siglio Press. His publisher describes the book as: “an alchemical assemblage (...) that composes the life of his alter ego, Ruth Greisman— spinster, Sunday painter, and friend to Joseph Cornell and Marcel Duchamp. Through collages, drawings, and journal entries from Ruth’s imagined life, Seydel invokes her interior world in novelistic rhythms.” This convergence of his professional triumph with the tragedy of his death makes now a particularly appropriate time to think about Robert Seydel and his work. This feature contains a selection of excerpts from Book of Ruth (courtesy of Siglio Press) alongside a pair of texts remembering him and giving critical and biographical insights into his art and his person. These texts, from a former student and a colleague respectively, were originally prepared for Seydel's memorial at Hampshire College and have since been revised for publication in continent. For more information on Book of Ruth, please visit the book's page at the Siglio Press website. —Ben Segal draughty R. * Lauren van Haaften-Schick 2011 “The most apt way to order Smithson's library is with the conjunction 'and'; science and religion; modernism and mass culture; what is present and what is missing.” —Alexander Alberro, 248 Robert Seydel's classes on collage and collecting immersed his students in a curious world of cabinets, oddities, exhaustive archives and obscure histories, explored always with critical rigor and a sincere eye for wonder. His office was a compendium of the ancient, mythic, potential and unworldy, where seemingly unrelated references were endlessly pulled, piled and fused in an ecstatic dance of hyper-annotation. The small room and all its contents overflowed with notes tucked in every margin and corner. Books coated the walls like a switchboard, anxious and humming, waiting for infinite links to be activated. William Blake's books of Job and Urizen summoned Greek mythology and the animal as metaphor, leading to 19th century cryptozoology and the cave paintings at Lascaux, Gaston Bachelard's description of the bird in his garden and Robert Rauschenberg's Canyon . Tracking archetypes and following tangential threads, new revelations and ancient narratives were compiled and ordered to form a new text, a bibliography as assemblage, portrait and poem. Robert's library—one of his many collections—is a portrait, an “artifact, collage of time, a token and remnant” (Seydel, 2007) He is humming with it still. The imagination of this room—of Robert—breathes through the pages of Book of Ruth, as every decision and detail unfolds to a cosmos. Allegory, invention, personal and art histories are entangled and leveled, rendering lived, perceived and absorbed experiences indistinguishable. Anonymous scraps discovered on the street or studio floor, careful clippings and drawn figures are chosen and animated through serendipitous destruction and whimsical, delicate positioning. A precise vocabulary of characters and terms erupts and collapses as personas and passers-by wave and whisper, “Every figure reveals aspects of the total form, which is open and green” (Seydel, 2007). The initials R.S. repeat, a nod to Robert's true family tree and further complicating identification. Robt, Robert's sometimes alter-ego, appears in myriad forms as a trickster “half-wit,” mercurial and skittish, or soft and worn thin. Saul is a solemn tinkerer, parsing the world and sometimes blind. Ruth, the speaker of the book, records and translates all, her voice wavering between poetic verse and a cryptic half-speech as complex as it is sparse. The rhythm of frayed edges sets time - the weight of the world and the lightness of paper. Robert wrote of his process, “Material is essential; scuffings carry history, which wanders throughout” (Seydel, 2007). Collectors, assemblers, sway between careful movements of selection and placement as they pull from the found world, mediating calculated and unconscious association to form a lexicon of gestures, symbols and allusion, the “artifacts of a life... the refuse and rejecta of days” (Seydel, 2007). These assembled fragments shift and chatter, at home in their homelessness, actors performing in their own lives, populating an invented world of similar orphans. Such accumulated, severed parts carry the injury of their cutting and retain the evidence of their source, binding loss to creation in a symbiosis of trauma and repair. Mourning and remembrance are deeply embedded in the histories and acts of such practices. Grievance, acceptance, and the fragility of life are conveyed in the 18th century allegorical arrangements of fetal specimens by Frederik Ruysch. A certain melancholy reverence colors Joseph Cornell's intimately tactile assemblages rendering the universe tangible in miniature, or made in devotion to unrequited loves. Preserved in stasis, these ghosts and idols are kept in a purgatory where fact and fiction, past and present are irrelevant distinctions. Catalogued and contained, the subject of loss is transferred to an artifact. Every thread, scrap and letter may be glued, gathered and placed in a museum, a tomb, a box, a page, ripe and open for possession. Holding on to grief and reveling in disrepair, we opt to be haunted. Forever unbalanced and in flux, the sublime of collage is its resolve to irresolution. For Robert, “Art, as creation and as sign of primary Imagination, is not objects but a state, a kind of fluid” (Seydel, 2007) Reflecting on his work, life, and death, I am drawn to my library and the myriad titles acquired through his inspiration. There is Daniel Spoerri's An Anecdoted Topography of Chance , Susan Stewart's On Longing , various Borges, Barthes, Perec, and especially Life: A User's Manual , which concludes that the perfect puzzle will have no solution. I think of the drawers of miscellaneous swallowed objects at the Mutter Museum, Ray Johnson coding the every day in riddles, Wallace Berman twisting tongues, and Susan Hiller laying every detail to bear. Collectors and makers working in endless cycles of observation, ingestion and display. Every gesture informs and is defined by others, every space is shaped by that which surrounds and fills it, the knot has an inner logic, the gigantic is not so different from the miniature, there is a world in every detail, and “All art is collage” (Seydel, 2011) These thoughts have molded my life, my art, and all the minutia that keep the two so profoundly intertwined; There is no difference between life and what we do with our time. “I write my life. I make me up.” What a gift to share this secret way of knowing the world, and to leave this knowledge for us to do with what we please. “Art begins in admiration” (Seydel, 2011) Lauren van Haaften-Schick is a curator, writer and artist based in New York. Upcoming curatorial projects include "Cancelled" at the Center for Book Arts, and "The Spirit of the Signal" at Nicole Klagsbrun Gallery, New York. Recent activities include the workshops "Market, Alternative" and "Alternative Art Economies" at Trade School and Momenta Art, and the e-flux Time/Store, New York. She is the founding director of two arts spaces in Northampton, MA and Philadelphia, PA. She received a BA in Art History and Studio Art from Hampshire college in 2006. Sura Levine on Robert Seydel If early on in his time at Hampshire College I was officially his “mentor,” Robert Seydel quickly became one of my great teachers. Over the years we talked about everything, from art, music, collage, and poetry, to campus politics, this latter far too often. It was always a sublime pleasure, if all too rarely done, to enter his apartment to look at his work in progress, to peruse his bookshelves where, inevitably, there were always new treats to examine. And, while he was working on his Book of Ruth , I was given the opportunity over the course of many meals at the Korean and other restaurants, to talk with him about image and poem ordering. To see how he thought through each comma, each juxtaposition across the gutters of the Book, was to watch a brilliant curator at work. Each day, I walk past his wonderful collaged portrait of Ruth, purchased, after much haggling, as a birthday present, a couple of years ago. And each day, I think how lucky I am to have known Robert as he produced this magnum opus. One of my greatest pleasures in 24 years at the College was to teach “The Collector” with Robert. One of my greatest regrets is that the magic we created together in the classroom will not, and cannot, be duplicated. Its various incarnations, its utter intelligence and magic, were all so deeply Robert’s. His was a mind that put poetry, philosophy, history of science, and history together with art, and art together with music. His intellect and eye were unparalleled. He introduced us to so many artists. He shared his fascination with the cabinets of curiosity of Aldrovandi, of Seba, and Peter the Great’s collection of fetal anomalies, as well as the Museum of Jurassic Technology in Los Angeles. Robert knew them all and so many more. He was a walking encyclopedia, his home a great archive. Arcane knowledge, perhaps, but oh so important for another of Robert’s heroes, the mid-20th century Belgian artist Marcel Broodthaers, whose name he invariably mispronounced as “Broadthayers.” In speaking his name, Robert would always look in my direction in a panic, and then he go on and maul it. I absolutely loved his various mispronunciations of French names and terms! “The Collector” was always filled with talented young artists, art historians, philosophers and writers who all came to understand the wondrous obsessions of the figure of the collector. Students in this course created dazzling projects each term. He always moved while looking and speaking. He read deeply, and commented on everyone’s work with wonderful generosity. Robert always found something to praise even in the least developed of projects. Robert inspired and mentored all of his students into making work that far exceeded their expectations—and ours. For those of you who were lucky enough to have been touched by or to have had an evaluation written by Robert, savor it, keep it, reread it, and share it. He loved working with you all; it is somehow fitting that he died while prepping yet another new course. Robert, it’s almost impossible to speak of you in the past tense, even though you left us a month ago. No doubt, if you knew about our gatherings and celebrations of you, you would be embarrassed that we are making a fuss over you; you always placed the focus on others rather than on yourself. This trait is exactly why so many people miss you now. We’re here to love you publicly as we all did privately for the eleven years you were among us. Robert, my very dear friend, you were an extraordinary artist—you were my brother of choice. My heart broke when yours did. I miss you profoundly. —Sura Levine, February 26, 2011 Sura Levine is a professor of art history at Hampshire College. Her field of specialty is 19th century Belgian and French art, particularly realism and impressionism. Having worked in museums for a number of years both prior to coming to the College, and, as guest curator and co-author of exhibition catalogues, she became particularly interested in the history of museum and trends in collecting. It was because of their shared interests that she and Robert Seydel developed their course, The Collector, which they co-taught for many years. (shrink)

In this paper I argue that the concept of time-reversal invariance in physics suffers from metaphysical underdetermination, that is, that the concept may be understood differently depending on one’s metaphysics about time, laws, and a theory’s basic properties. This metaphysical under-determinacy also affects subsidiary debates in philosophy of physics that rely on the concept of time-reversal invariance, paradigmatically the problem of the arrow of time. I bring up three cases that, I believe, fairly (...) illustrate my point. I conclude, on the one hand, that any formal representation of time reversal should be explicit about the metaphysical assumptions of the concept that it intends to represent; on the other, that philosophical arguments that rely on time reversal to argue against a direction of time require additional premises. (shrink)

What if gravity satisfied the Klein-Gordon equation? Both particle physics from the 1920s-30s and the 1890s Neumann-Seeliger modification of Newtonian gravity with exponential decay suggest considering a "graviton mass term" for gravity, which is _algebraic_ in the potential. Unlike Nordström's "massless" theory, massive scalar gravity is strictly special relativistic in the sense of being invariant under the Poincaré group but not the 15-parameter Bateman-Cunningham conformal group. It therefore exhibits the whole of Minkowski space-time structure, albeit only indirectly concerning (...) volumes. Massive scalar gravity is plausible in terms of relativistic field theory, while violating most interesting versions of Einstein's principles of general covariance, general relativity, equivalence, and Mach. Geometry is a poor guide to understanding massive scalar gravity: matter sees a conformally flat metric due to universal coupling, but gravity also sees the rest of the flat metric in the mass term. What is the 'true' geometry, one might wonder, in line with Poincaré's modal conventionality argument? Infinitely many theories exhibit this bimetric 'geometry,' all with the total stress-energy's trace as source; thus geometry does not explain the field equations. The irrelevance of the Ehlers-Pirani-Schild construction to a critique of conventionalism becomes evident when multi-geometry theories are contemplated. Much as Seeliger envisaged, the smooth massless limit indicates underdetermination of theories by data between massless and massive scalar gravities---indeed an unconceived alternative. At least one version easily could have been developed before General Relativity; it then would have motivated thinking of Einstein's equations along the lines of Einstein's newly re-appreciated "physical strategy" and particle physics and would have suggested a rivalry from massive spin 2 variants of General Relativity. The Putnam-Grünbaum debate on conventionality is revisited with an emphasis on the broad modal scope of conventionalist views. Massive scalar gravity thus contributes to a historically plausible rational reconstruction of much of 20th-21st century space-time philosophy in the light of particle physics. An appendix reconsiders the Malament-Weatherall-Manchak conformal restriction of conventionality and constructs the 'universal force' influencing the causal structure. Subsequent works will discuss how massive gravity could have provided a template for a more Kant-friendly space-time theory that would have blocked Moritz Schlick's supposed refutation of synthetic _a priori_ knowledge, and how Einstein's false analogy between the Neumann-Seeliger-Einstein modification of Newtonian gravity and the cosmological constant \Lambda generated lasting confusion that obscured massive gravity as a conceptual possibility. (shrink)

Two views on the direction of time can be distinguished—primitivism and non-primitivism. According to the former, time’s direction is an in-built, fundamental property of the physical world. According to the latter, time’s direction is a derivative property of a fundamentally directionless reality. In the literature, non-primitivism has been widely supported since most our fundamental dynamical laws are time-reversal invariant. In this paper, I offer a way out to the primitivist. I argue that we do have good (...) grounds to support a primitive direction of time in the quantum realm. The rationale depends on exploiting the metaphysical and dynamical underdetermination of quantum theories to make a case in favor of primitivism. In particular, primitivism can be grounded in spontaneous collapse theories. The specific sense in which these theories capture a primitive direction of time is that, when the ontology of the theory is seriously taken into account, it does not remain invariant under time reversal. In taking GRW with a matter-density field, I will argue that primitivism about the direction of time can be defended in the quantum case. (shrink)

Rohrlich claims that “the problem of the arrow of time in classical dynamics has been solved”. The solution he proposes is based on the equations governing the motion of extended particles. Rohrlich claims that these equations, which must take self-interaction into account, are not invariant under time reversal. I dispute this claim, on several grounds.

This book, a revised and expanded version of a paper delivered at an international congress of linguists, is chiefly concerned with technical questions in the science of linguistics, particularly the superiority of transformational models over taxonomic models in developing an adequate theory of syntax and phonemics. Underlying these technical questions is a sustained criticism of traditional empiricist theories of knowledge. The taxonomic model assumes that the scientific approach to language is an atomistic one, classifying the basic invariant units, sounds, or (...) grammatical slots and fillers, and then specifying the laws that govern the combination of these units. The transformational model, Chomsky's own development, does not presuppose fully specified units, but intricate mental structures whose laws give a determination to the component parts. As a professional scientist, Chomsky argues that the transformational model is superior on three levels of adequacy: observational, descriptive, and explanatory. As a part-time philosopher, he feels that such structures reflect the general nature of the mind and show the inadequacy of atomistic accounts of mental phenomena.—E. M. M. (shrink)

Crafted within a knowledge-first epistemological framework, Mona Simion’s engaging and wide-ranging work ensures that both the Knowledge Norm of Assertion (KNA) and Classical Invariantism (CI) can be part of a viable and productive research program.Dissatisfied with current strategies on offer in the literature, she successfully counters objections to the pair sourced in “shiftiness intuitions”—intuitions that seem to indicate that mere changes in practical context can impact the propriety of assertions and knowledge attributions. For example, in Keith DeRose’s famous pair of (...) low stakes versus high stakes bank cases, the consequences of Keith’s acting on The bank is open on Saturday if it were false change from trivial in low stakes to catastrophic in high stakes. We are to suppose that the proposition is true, and that Keith has access to the same quantity and quality of evidence for it in both cases. In low stakes, but not in high stakes, we are inclined to think that Keith can appropriately assert to his inquiring wife “The bank is open on Saturday.” In low stakes, Keith’s knowledge ascription “I know that the bank is open on Saturday” strikes us as aptly asserted and true. In high stakes only a knowledge denial on Keith’s part strikes us as aptly asserted and true.If we want to hang on to KNA, it looks like we will have to abandon CI and concede that ‘knows’ or knowledge is sensitive to changes in practical considerations. If we want to retain CI, we can try to say that, while Keith does still know that the bank is open on Saturday in high stakes, he does not have sufficient warrant to properly assert that it is. But such a move seems to run counter to KNA. We appear to be stuck in the Shiftiness Dilemma.Keen to get us out of the dilemma and to preserve the idea that epistemically good thinking and asserting are independent of practical concerns, Simion suggests a strategy that can also be used to protect other epistemic speech-act norms and notions from similar threats of practical shiftiness. She notes that having an impact on the degree of epistemic warrant required is not enough to make a norm an epistemic one. Fair enough. If I am given strong practical reason (a million dollars, or a gun to the head) not to adopt full belief until I have gathered more evidence, there is potentially some nonepistemic norm at work in the demand for further evidence. So it is a live possibility (indeed, a plausible one, as Simion would say) that our intuitions in the Shiftiness Dilemma are being misdescribed: they are tracking all-things-considered propriety of assertion, not epistemic propriety. In high stakes, practical norms override the epistemic norm KNA. Keith’s asserting “The bank is open on Saturday” would be epistemically proper but all-things-considered improper.Simion backs up her account with an etiological-function origin story and typology for the norms of assertion. Here is her characterization of etiological function for traits, artifacts, and actions. E-function.A token of type T has the e-function of type B of producing effect E in a system S iff (1) tokens of T produced E in the past, (2) producing E resulted in benefit of type B in S/S’s ancestors, and (3) producing E’s having B-benefited S’s ancestors contributes to the explanation of why T exists in S.In this schema, norms governing an action are typed by the functions or purposes of the action, which in turn are typed by the benefits the action delivers. The epistemic norm of assertion will be the one that characteristically and reliably enables participants in the practice of assertion to secure its primary epistemic good, which Simion identifies as knowledge (testimonial knowledge in hearers generated under normal conditions by the assertions of knowledgeable speakers). Moves in a practice either directly or indirectly aim at fulfilling the goal of the practice. Assertion is a move in the practice of inquiry, which has the generation of knowledge as its aim. Hence, Simion concludes, assertion aims at generating knowledge.This account helps to explain why, in cases like high stakes, Keith all-things-considered ought not to assert “The bank is open on Saturday,” even though he knows it is true. Prudential norms of assertion override the epistemic KNA, for when multiple functions come into conflict, the ones that are more important to the survival of the organism will generate weightier normative constraints.Simion then applies her account to the general category of constatives—for example, speech acts that express a speaker’s belief and the intention that the hearer form or continue to hold the like belief. Employing the taxonomy of Bach and Harnish, she argues that, as expressions of belief and hence varieties of assertion, constatives are subject to knowledge norms as well. Bach and Harnish identify fifteen different subcategories of constatives, each characterized in terms of the kind of belief and intention they express. The norms governing a species have to be at least as strong as the norms governing the corresponding type. As species of the type assertion, each subcategory, then, is subject to at least the necessary direction of KNA. Ultimately, we arrive at a knowledge norm for every speech act on the list, such as The Knowledge Norm of Conjecture (KNC):One’s conjecture that p is epistemically permissible only if one knows that there is reason, but not sufficient reason, to believe that p. Most of the proposed interpretations of various constatives are on the whole reasonable enough, though J. L. Austin would surely be unhappy to see so many different speech acts fashioned into varieties of assertion. Simion concludes with reflections on conjecturing, telling, and moral assertion.Construing the challenge of shiftiness intuitions in terms of the Shiftiness Dilemma allows Simion to declare success when the compatibility of KNA and CI with the relevant data of intuition is secured. Ensuring empirical adequacy for an explanatory framework is an important step, but pronouncements of victory by way of inference to the best explanation would be premature.Other candidates have been shown to match KNA’s familiar explanatory successes (involving lottery propositions, Moorean statements, etc.). Unlike KNA, alternatives that require only epistemically justified or rational belief or credence can allow that a subject is epistemically proper to assert what they believe when their belief is epistemically rational, even under conditions where there are defeating reasons that they are not in a position to be aware of. Furthermore, such norms seem better suited for philosophical or heated moral discussions where there is little consensus and individuals routinely fail to know that what they assert is true. Simion sounds the alarm that the Shiftiness Dilemma threatens to generalize “to epistemic normativity as a whole” (xi–xii), but norms concerning rational credence seem particularly immune.As Simion notes, the etiological-function model of norms that she proposes could be rebuilt with a different central epistemic aim at its core. Indeed, Millikan-inspired models along these lines are appealed to in other areas in philosophy where the concept of information takes center stage—a concept that may be more amenable to rigorous definition and use in dialogue with the sciences than knowledge. We can wonder, also, what special weight the etiological-function model accords to a knowledge-first perspective on epistemic normativity when the model is malleable in this way.The effectiveness of Simion’s strategy for shielding epistemically good thinking and assertion from practical shiftiness becomes less apparent when we try to apply it to Keith’s belief or judgment that the knowledge ascription/denial he asserts is true. It is unclear whether we are to suppose that, in high stakes, Keith epistemically ought to believe/judge that his asserted knowledge denial is false, but all-things-considered he ought to believe/judge that it is true. We do not have to accept that the knowledge-first, etiological function account of normativity for assertion carries over to belief, of course, but then what progress have we made in accounting for the shiftiness in Keith’s judgment that he knows the bank is open on Saturday in low stakes but not in high stakes?Furthermore, there are other ways to generate problems for fallibilist Classical Invariantists in low versus high stakes pairs of cases. Here is a simplified version of a puzzle from the debate over pragmatic encroachment. Consider low cases where you meet the invariant standards for knowing that p, but your justified confidence falls short of certainty. Among these cases, there must be some where you also meet the invariant standards for knowing that if p is true, then among your choices of action ϕ-ing results in the best overall outcome. Say, for instance, that you have a machine with a ϕ button, and your machine, which you know to be extremely reliable, tells you what the cost or benefit will be if you push the button and p is true versus if p is false. If you ϕ (push the ϕ button) and p is true, you win one hundred dollars; if you ϕ and p is false, you lose one hundred dollars. You face the choice: to ϕ or not to ϕ. Since you know that p, and you know that if p is true, then among your choices of action ϕ-ing results in the best overall outcome, you rationally conclude that ϕ-ing results in the best overall outcome, and hence that you ought to ϕ. If you know which choice of action has the best overall outcome, that is what you all-things-considered should do. Now consider high, where the quantity and quality of your evidence for p is the same, and you still know that your machine is extremely reliable. This time, however, the machine tells you that if you push ϕ and p is true, you win one hundred dollars, but if you push ϕ and p is false, you lose $1 million. Your rational confidence in p is not high enough to justify pushing the button, so you rationally conclude that you ought not to ϕ. Since in high nothing evidentially relevant has changed (all that has changed is the machine informing you of a new, more serious cost of acting on p if p is false), the classical invariantist will have to say that you still know that ϕ, and you still know that if p is true, then among your choices of action ϕ-ing results in the best overall outcome. So, according to CI, you should still be able to reason properly as follows: you know that p, and you know that if p is true, then among your choices of action ϕ-ing results in the best overall outcome, so you know that ϕ-ing results in the best overall outcome, hence you ought to ϕ. Classical invariantists owe us an explanation concerning how we can avoid the paradox here without conceding that knowledge is practically shifty. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Contradiction and Legislation Regarding the Right to LifeKevin L. Flannery, S.J.Unborn Human Life and Fundamental Rights: Leading Constitutional Cases under Scrutiny. Edited by Pilar Zambrano and William Saunders, with concluding reflections by John Finnis. Berlin: Peter Lang, 2019.The most fundamental principle of law is the principle of non-contradiction. This is Thomas Aquinas's position in the seminal article on the natural law, Summa theologiae I-II, question 94, article 2, (...) where, citing Aristotle, he formulates the principle as, "One should not simultaneously affirm and negate." Lafter in the same article, Thomas offers a practical formulation of the same principle, "Good is to be done and pursued and evil avoided"; but in law, since it is contained in propositions (airmations and negations) as distinct from ideas regarding the pursuit of goods, the prior formulation is the more immediately relevant of the two.The book under review is important in that, by going through the legal history regarding abortion and related issues in a number of different countries—the United States, Canada, Italy, Spain, Poland, Ireland (Eire), Costa Rica, Argentina, Chile, Mexico, and Peru—it causes to emerge any number of times the realization that legislation and judicial decisions in favor of abortion "rights" invariably infect a legal system with contradictions and inconsistencies of various sorts. The present essay is, therefore, not your typical book review. Its objective is simply to list some of the legal contradictions and inconsistencies identified by the book's various authors as they describe the legal status of the unborn in their respective nations. [End Page 1323]William Saunders's very clear and comprehensive first chapter is entitled, "Judicial Interference in the Protection of Human Life in the United States: Actions and Consequences." In it, he describes, among other things, the Human Cloning Prohibition Act passed by the U.S. House of Representatives in 2003, which prohibited "any person or entity, public or private" from performing human cloning (23). He speaks also of a bill proposed in the U.S. Senate once the Human Cloning Prohibition Act had passed in the House of Representatives. This Senate bill (which was entitle, "The Human Cloning Ban and Stem Cell Research Protection Act") would have prohibited "any person or other legal entity" from conducting human cloning, even while allowing nuclear transplantation, which it defines as "transferring the nucleus of a human somatic cell into an oocyte from which the nucleus... ha[s] been... removed or rendered inert." The problem here, as Saunders explains, is that this latter definition "is the very definition of cloning" (25). In other words, in the same year, two pieces of legislation were considered in the Congress of the United States, both purporting to ban human cloning, one of which would have permitted what the other described (correctly) as human cloning and so prohibited.In the second chapter, "Whither United States Abortion Law?" by Gerard V. Bradley, discussed, among other things, is the inconsistency between the United States Supreme Court's pro-abortion decision Roe v. Wade and various laws, both state and federal, prohibiting feticide. Bradley says of the 2004 federal Unborn Victims of Violence Act that, "in pertinent part it says that 'whoever' 'causes the death of or bodily injury to,' a 'child who is in utero' is guilty of an offense apart from any accompanying offense against the woman carrying the child." The penalty for such an act is the same as would be imposed if the act were inflicted upon the unborn child's mother: if, for instance, the mother was killed. "A child in utero," reports Bradley, "is defined as a member of the species homo sapiens, at any stage of development, who is carried in the womb'" (37).The problem here is that prosecutable under this law are acts identical with those performed legally by abortionists. Bradley mentions two cases in which a woman's male partner—in one case the woman's husband—effected by stealth the abortion of her child. In one case, the male purchased abortion pills and affixed to their container a pharmacy label indicating that it contained a common antibiotic; in the other, the husband obtained the same type of... (shrink)

The value of Abraham Kuyper’s thought is presently being discovered by a growing body of readers. Herman Dooyeweerd’s thought is appreciated by a smaller number. Yet he was trained in the Kuyperian tradition and conceived many of his most characteristic insights by building on Kuyper’s. What did he learn from Abraham and what can be learned by reflecting on their shared ideas? A view of the coherence, the gum and wire holding society and the cosmos together is the first of (...) their common themes, considered in this essay. The second is religion and its root, namely, the human heart in its encounter with the Eternal. This involves a discussion of time and whether human existence can be said to extend beyond time in some respect. Observations are made and questions are raised about the contrasting and comparative accessibility of the two authors’ thoughts and writings. The second half of the essay focuses on the earliest statements of Dooyeweerd’s germinating philosophy — in relationship to Kuyper’s thought. At the most fundamental level these two thinkers share basic principles, and in light of these they developed their most distinctive ideas. An implicit reassessment of this intellectual tradition is offered here with the hope of finding hints and motivation to open new vistas on some key insights and principles. (shrink)

Testable predictions of quantum mechanics are invariant under time reversal. But the evolution of the quantum state in time is not so, neither in the collapse nor in the no-collapse interpretations of the theory. This is a fact that challenges any realistic interpretation of the quantum state. On the other hand, this fact raises no difficulty if we interpret the quantum state as a mere calculation device, bookkeeping past real quantum events.

The question of whether object recognition is orientation-invariant or orientation-dependent was investigated using a repetition blindness (RB) paradigm. In RB, the second occurrence of a repeated stimulus is less likely to be reported, compared to the occurrence of a different stimulus, if it occurs within a short time of the first presentation. This failure is usually interpreted as a difficulty in assigning two separate episodic tokens to the same visual type. Thus, RB can provide useful information about which representations (...) are treated as the same by the visual system. Two experiments tested whether RB occurs for repeated objects that were either in identical orientations, or differed by 30, 60, 90, or 180°. Significant RB was found for all orientation differences, consistent with the existence of orientation-invariant object representations. However, under some circumstances, RB was reduced or even eliminated when the repeated object was rotated by 180°, suggesting easier individuation of the repeated objects in this case. A third experiment confirmed that the upside-down orientation is processed more easily than other rotated orientations. The results indicate that, although object identity can be determined independently of orientation, orientation plays an important role in establishing distinct episodic representations of a repeated object, thus enabling one to report them as separate events. (shrink)

This book explores the nature of modern culture as a culture of anxiety, analyzing the modes in which such anxiety presents itself. Drawing on sociological and philosophical concepts of modernity, the author builds on the work of Marx, Nietzsche and Freud to offer an understanding of modern anxiety culture as the reverse side of risk culture, which stabilizes itself by concealing or making familiar the social phenomena of risk society. Through explorations of memory, politics, art, clairvoyance, notions of national community (...) and identity, this volume sheds light on the fissures in our culture where anxiety appears, thus revealing its underlying volatility. A study of the ruptures in our modern culture, Anxiety and Lucidity will appeal to scholars of sociology, social theory, anthropology and philosophy with interests in late modern culture. (shrink)

David Malament has recently responded to David Albert's argument that classical electrodynamics is not time-reversal invariant by introducing a novel conception of time reversal, which supports the conventional view that under time reversal the magnetic field changes sign but the electric field remains unchanged. I will argue here that Malament's transformation has both passive and active versions. I will claim that the passive version is not relevant to Albert's argument, and the active version does not lead (...) to the conventional transformation. (shrink)

Computational complexity theory is a branch of computer science dedicated to classifying computational problems in terms of their difficulty. While computability theory tells us what we can compute in principle, complexity theory informs us regarding our practical limits. In this chapter I argue that the science of \emph{quantum computing} illuminates complexity theory by emphasising that its fundamental concepts are not model-independent, but that this does not, as some suggest, force us to radically revise the foundations of the theory. For model-independence (...) never has been essential to those foundations. The fundamental aim of complexity theory is to describe what is achievable in practice under various models of computation for our various practical purposes. Reflecting on quantum computing illuminates complexity theory by reminding us of this, too often under-emphasised, fact. (shrink)

The theory of space-time developed in Kant’s Critique of Pure Reason and his Metaphysical Foundations of Natural Science is connected to Leonhard Euler’s proof of invariance under Galilean transformations in the “On Motion in General” of the latter’s 1736 Analytical Mechanics. It is argued that Kant, by using the Principle of Relativity that is the output of Euler’s proof as an input to his own proof of the kinematic parallelogram law, makes essential use of absolute simultaneity. This (...) is why, in the Transcendental Aesthetic, he observes that “our theory of time explains as much a priori knowledge as the general theory of motion displays.” In conclusion, it is shown that the same proof-method, under a different definition of simultaneity, leads to the parallelogram law of the “Kinematic Part” of Einstein’s 1905 “On the Electrodynamics of Moving Bodies”. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Notes and Fragments LITERARY STUDIES AND THE REPRESSION OF REPUTATION by John Rodden 6 6T A Thomakesorbreaks a writer's reputation?" asked Esquire during VV the mid-1960s. The editors' answer, titled "The Structure of the Literary Establishment," came in the form of a multicolored "chart of power." Included was "virtually everyone of serious literary consequence," whether "writer, editor, agent, or simple hipster." The center of power was indicated, noted the (...) editors, by "the hot red blob in the middle," which oozed over the names of the chief literary makers and breakers.1 In 1977 Esquire drove to the heart of the blob, asking a long list of "knowledgeable" writers, academic critics, andjournalists the question, "Which American writers of this century do you consider the most overand under-rated"? Running below the responses across four pages was a sketch of Father Time, busily at work inflating and bursting bubbles bearing the images of various candidates. No consensus was sought, though Dreiser and Willa Cather fared well, and Pound, Eliot, Hemingway, Mailer, and Edmund Wilson less well. The editors acknowledged that their respondents generously volunteered a number of nonAmericans too (and stretched "writers of this century" back to the Venerable Bede), "proving that once you get started on this kind of thing, it's hard to know where to stop." 2 Unfortunately, reflection on the matter seems to stop at the doorstep of literary studies. "Reputation" is one of those subjects that readers, 261 262Philosophy and Literature critics, and scholars love to talk about, but to which serious attention is rarely paid, even by sociologists of literature—and not at all by literary critics. Separate disciplines are devoted to the study ofwealth and power, yet none to honor or reputation, the third chiefcategory ofclass systems and human motivation.3 A few cultural critics have drawn attention to the ways in which the "institution of criticism"—book publishing, book reviewing, literaryjournalism, scholarly criticism—has exerted influence on public literary taste or the profession of literary studies. But their work has typically criticized "the culture industry" or "the literary-industrial complex," rather than addressed the making of authors' and books' reputations.4 Although semesterly reading lists and even whole libraries testify to the exalted reputations of a few canonized authors, a near-total silence has prevailed in the academy on reputation as a literary issue in its own right.5 That such a central dynamic of literary life—in a sense the defining, controlling category for an essentially honorific activity like literature and literary criticism—should go virtually unattended by critics of literature might seem at first glance a professional conspiracy by Esquire's "blob." Yet the academy's neglectof"the problem ofreputation" is hardly due to outright professional collusion, but rather to a joint matter of institutional and historical factors. These have partly to do with the elusiveness of "reputation" as a concept, which has accommodated the more important repressive factors: the academy's preoccupation with literary interpretation and its persistent habit of averting its eyes from its own institutional history. This essay explores the problematics of literary reputation, the essence of which consists in our unrefiective tendency to assume that what is valued is invariably what is also reputed. II Few readers would deny that authors' reputations bear heavily on practices in publishing and literary journalism. Few even question Esquire 's buried point that "reputations get made" through institutional networks which exchange and distribute information. Yet the literary academy has traditionally relegated the subject to the slick magazines and, more recendy, to the sociology of art and occupations, where it has received scant attention and where literary canons are not made.6 On those rare occasions when journals like The American Scholar have taken up literary reputation as an issue, they have politely asked only the first of Esquire's questions (about underrated books and authors), John Rodden263 characterizing their discussion as "the game" ofrediscovering "neglected books." 7 Indeed the topic may well strike a bit too close to home, as observers as opposed in their literary politics as Norman Podhoretz and Richard Kostelanetz seem to agree.8 For elite institutions and star reputations exist in academe and in the literary... (shrink)

The A-theory of time has intuitive and metaphysical appeal, but suffers from tension, if not inconsistency, with the special and general theories of relativity (STR and GTR). The A-theory requires a notion of global simultaneity invariant under the symmetries of the world's laws, those ostensible transformations of the state of the world that in fact leave the world as it was before. Relativistic physics, if read in a realistic sense, denies that there exists any notion of global simultaneity (...) that is invariant under the symmetries of the world's laws. If physics is at least a decent guide to metaphysics--as sympathies for scientific realism would suggest--then relativistic physics supports the B-theory. If there were a physically natural way to modify the symmetries of the physical laws so as to remove those that are repugnant to the A-theory, while retaining empirical adequacy, then such an altered physics might be attractive to the A-theorist and would weaken the support given by relativity to the B-theory. I exhibit a way to do so here, displaying a Lagrangian density explicitly containing distant simultaneity, yet implying Einstein's field equations. The modification involves a change in the nature of the lapse function and makes use of the Dirac-Bergmann formalism of constrained dynamics, which recently has been discussed much by John Earman. Here this formalism is adapted slightly to permit both local and global generalized coordinates. A classification of senses in which time might be absolute or not is made along the way. Some suggestions for extending the work by finding a first principles motivation are made. An appendix outlines an argument why many local presents are insufficient and a global present is attractive, while two more appendices review the Dirac-Bergmann apparatus for GTR and then apply it to the theory at hand. (shrink)

In Minkowski flat space-time, it is perceived that time inversion is unitary rather than antiunitary, with energy being a time vector changing sign under time inversion. The Dirac equation, in the case of electromagnetic interaction, is not invariant under unitary time inversion, giving rise to a “Klein paradox.” To render unitary time inversion invariance, a nonlinear wave equation is constructed, in which the “Klein paradox” disappears. In the case of Coulomb interaction, (...) the revised nonlinear equation can be linearized to give energy solutions for Hydrogen-like ions without singularity when nuclear number Z>137, showing a reversed energy order pending for experimental tests such as Zeeman effects. In non-relativistic limit, this nonlinear equation reduces to nonlinear Schrödinger equation with soliton-like solutions. Moreover, particle conjugation and electron-proton scattering with a nonsingular current-potential interaction are discussed. Finally the explicit form of gauge function is found, the uniqueness of Lorentz gauge is proven and the Lagrangian density of quantum electrodynamics (QED) is revised as well. The implementation of unitary time inversion leads to the ultimate derivation of nonlinear QED. (shrink)

In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting framework anticipates key features of special relativity, including the signature of the Minkowski metric tensor and the special role played by theories that are invariant under a generalized notion of Lorentz transformations. We then use this technique to revisit a (...) classification of classical particle-types that mirrors Wigner's classification of quantum particle-types in terms of irreducible representations of the Poincaré group, including the cases of massive particles, massless particles, and tachyons. Along the way, we see gauge invariance naturally emerge in the context of classical massless particles with nonzero spin, as well as study the massless limit of a massive particle and derive a classical-particle version of the Higgs mechanism. (shrink)

As a procedure, reflective equilibrium is simply a familiar kind of standard scientific method with a new name. A theory is constructed to account for a set of observations. Recalcitrant data may be rejected as noise or explained away as the effects of interference of some sort. Recalcitrant data that cannot be plausibly dismissed force emendations in theory. What counts as a plausible dismissal depends, among other things, on the going theory, as well as on background theory and on knowledge (...) that may be relevant to under-standing the experimental design that is generating the observations, including knowledge of the apparatus and observation conditions. This sort of mutual adjustment between theory and data is a familiar feature of scientific practice. Whatever authority RE seems to have comes, I think, from a tacit or explicit recognition that it has the same form as this familiar sort of scientific inference. One way to see the rationale underlying this procedure in science is to focus on prediction. Think of prediction as a matter of projecting what is known onto uncharted territory. To do this, you need a vehicle—a theory—that captures some invariant or pattern in what is known so that you can project it onto the unknown. How convincing the projection is depends on two factors: how sure one is of the observational base, and how sure one is that the theory gets the invariants right. The two factors are not independent, of course. One's confidence in the observational base will be affected by how persuasively the theory identifies and dismisses noise; one's confidence in the theory, on the other hand, will depend on one's confidence in the observations it takes seriously. Prediction is important as a test of theory precisely because verified predictions seem to show that the theory has correctly captured the general in the particular, that it has got the drift of the observational evidence in which our confidence is ultimately grounded. (shrink)

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be (...) found already in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

Many philosophers of physics take the failure of the laws of physics to be invariant under the time reversal transformation to give us good reason to think that spacetime is temporally anisotropic, yet the details of this inference are rarely made explicit. I discuss two reasonable ways of filling in the details of this inference, the first of which utilizes a symmetry principle proposed by John Earman and the second of which utilizes Harvey Brown’s account of spacetime. I (...) contend that neither of the resulting arguments is sound. (shrink)

To each computable enumerable (c.e.) set A with a particular enumeration {As}s∈ω, there is associated a settling function mA(x), where mA(x) is the last stage when a number less than or equal to x was enumerated into A. One c.e. set A is settling time dominated by another set B (B >st A) if for every computable function f, for all but finitely many x, mB(x) > f(m₄(x)). This settling-time ordering, which is a natural extension to an ordering (...) of the idea of domination, was first introduced by Nabutovsky and Weinberger in [3] and Soare [6]. They desired a sequence of sets descending in this relationship to give results in differential geometry. In this paper we examine properties of the <st ordering. We show that it is not invariant under computable isomorphism, that any countable partial ordering embeds into it, that there are maximal and minimal sets, and that two c.e. sets need not have an inf or sup in the ordering. We also examine a related ordering, the strong settling-time ordering where we require for all computable f and g, for almost all x, mB(x) > f(mA(g(x))). (shrink)

The Lorentz transformation of space and time between two reference frames is one of the pillars of the special relativity theory. As a result of the Lorentz transformation, space and time are only relative and are entangled, while the Minkowski metric is Lorentz invariant. For this reason, the Lorentz transformation is one of the major obstructions in the development of physical theories with quantized space and time. Here is described the Lorentz transformation of a physical system with (...) a discrete dynamical time and a continuous space that fulfills Lorentz invariance while approximating the Lorentz transformation at the time continuous limit and the Galilei transformation at the classical limit. Furthermore, the discreteness of time is not mixed with the continuous nature of space, making time distinct from space. (shrink)

A detailed attempt to ground the topological properties of time in the laws of micro- and macro-physical processes. The reversible processes of mechanics are used to define an order among temporally separated events, which is invariant under reversals of time direction. So long as consideration is limited to a single isolated system, a time ensemble, the transfer of the reversibility of the constituent processes of such a system to the system as a whole makes it impossible (...) to define time direction by means of the entropy curve. The directionality of time, accordingly, can only be defined as the direction of the entropy increase of multiple systems, of a space ensemble. A macrostatistical definition of time direction is then based upon the causal relation. The author's view of causation is non-deterministic: the conjunction of two events is caused if they occur together more frequently than can be expected from their chance coincidence. Reichenbach's analyses and arguments are careful and thorough; the book as a whole is a solid achievement. -- M. F. (shrink)

Even a cursory glance in Die Bernauer Manuskripte über das Zeitbewusstsein makes it evident that one of Husserl’s major concerns in his 1917-18 reflections on time-consciousness was how to account for the constitution of time without giving rise to an infinite regress. Not only does Husserl constantly refer to this problem in Husserliana XXXIII – as he characteristically writes at one point “Überall drohen, scheint es, unendliche Regresse” – but he also takes care to distinguish between several different (...) regresses. One of the more troubling ones is the one that might be called the regress of foundation. It concerns the problem of how to avoid always having to presuppose yet another underlying constituting consciousness. As we will soon see, the attempt to avoid this specific regress is closely linked to the problem of how to come up with a satisfactory account of self-awareness. That Husserl himself was well aware of this link can be inferred from some of his reflections in the beginning of Husserliana XXXIII. As he writes at one point, consciousness exists, it exists as a stream, and it appears to itself as a stream. But how the stream of consciousness is capable of being conscious of itself, how it is possible and comprehensible that the very being of the stream is a form of self-consciousness, is the enduring problem of the entire treatise. In this article, I wish to take a closer look at some of Husserl’s attempts in the Bernau Manuscripts to account for time-consciousness without giving rise to an infinite regress. (shrink)

Quantum electrodynamics is a time-symmetric theory that is part of the electroweak interaction, which is invariant under a generalized form of this symmetry, the PCT transformation. The thesis is defended that the arrow of time in electrodynamics is a consequence of the assumption of an initial state of high order, together with the quantum version of the equiprobability postulate.

It has been suggested that some of the puzzles of QM are resolved if we allow that there is retrocausality in the quantum world. In particular, it has been claimed that this approach offers a path to a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum "nonlocality", without action-at-a-distance. Some writers have suggested that this proposal can be supported by an appeal to time-symmetry, claiming that if QM were made "more time-symmetric", retrocausality would be a natural (...) consequence. Critics object that there is complete time-symmetry in classical physics, and yet no apparent retrocausality. Why should QM be any different? In this note I call attention to a respect in which QM is different, under some assumptions about quantum ontology. Under these assumptions, the option of time-symmetry without retrocausality is not available in QM, for reasons intimately connected with the fundamental differences between classical and quantum physics (especially the role of discreteness in the latter). (shrink)

The configurational dimension, in turn, displays temporal features that may be opposed to these "features" of episodic time. The configurational arrangement makes the succession of events into significant wholes that are the correlate of the act of grouping together. Thanks to this reflective act—in the sense of Kant's Critique of Judgment—the whole plot may be translated into one "thought." "Thought," in this narrative context, may assume various meanings. It may characterize, for instance, following Aristotle's Poetics, the "theme" that accompanies (...) the "fable" or "plot" of a tragedy.1 "Thought" may also designate the "point" of the Hebraic maschal or of the biblical parable, concerning which Jeremias observes that the point of the parable is what allows us to translate it into a proverb or an aphorism. The term "thought" may also apply to the "colligatory terms" used in history writing, such terms as "the Renaissance," "the Industrial Revolution," and so on, which, according to Walsh and Dray, allow us to apprehend a set of historical events under a common denominator. In a word, the correlation between thought and plot supersedes the "then" and "and then" of mere succession. But it would be a complete mistake to consider "thought" as a-chronological. "Fable" and "theme" are as closely tied together as episode and configuration. The time of fable-and theme, if we may make of this a hyphenated expression, is more deeply temporal than the time of merely episodic narratives. · 1. It may be noted in passing that this correlation between "theme" and "plot" is also the basis of Northup Frye's "archetypal" criticism. Paul Ricoeur is professor of philosophy at the Université de Paris and John Nuveen Professor at the University of Chicago. Some of his works to appear in English are Husserl: An Analysis of His Phenomenology, Main Trends in Philosophy, and The Conflict of Interpretations: Essays on Hermeneutics. His previous contribution to Critical Inquiry, "The Metaphorical Process as Cognition, Imagination, and Feeling," appeared in the Autumn 1978 issue. (shrink)

Humans are complex systems, ‘macro-entities’, whose existence, behaviour and consciousness stem out of the configurations of physical entities on the micro-level of the physical world. But an explanation of what humans do and think cannot be found through ‘tracking us back’, so to speak, to micro-particles. So, in explaining human behaviour, including linguistic behaviour on which this paper focuses, emergentism opens up a powerful opportunity to explain what it is exactly that emerged on that level, bearing in mind the end (...) product in the form of the intra- and inter-cultural diversity. Currently there is a gap in emergentism research. On one hand, there are discussions in philosophy of the emergent human reality; on the other, there are discussions of social, cultural, or individual variation of these emergent aspects of humanity in the fields of anthropology, sociology, linguistics or psychology. What I do in this paper is look for a way to ‘trace’ some such diversified emergents from what is universal about their ‘coming to being’, all the way through to their diversification. My chosen emergent is human time, my domain of inquiry is natural-language discourse, and the drive behind this project is to understand the link between ‘real’ time of spacetime on the micro-level from which we emerged and the human time devised by us, paying close attention to the overwhelming diversity in which temporal reference is expressed in human languages. The main question is, where does this diversity fit in? Does understanding of this diversity, as well as of what lurks under the surface of this diversity, aid the emergentism story? My contribution to this volume on ‘the nature of structure and the structure of nature’ thus takes the following take on the title. The structure of human communication is at the same time uniform, universal, and relative to culture, in that it is emergent as a human characteristic, and as such compatible with the micro-level correlates in some essential ways, but also free to fly in different directions that are specific to societies and cultures. I explore here the grey area between the micro-level and the linguistic reflections of time—the middle ground that is emergent itself but that tends to be by-passed by those who approach the question of human flowing time from either end: metaphysics and the philosophy of time on the one hand, and contrastive linguistics, anthropological linguistics and language documentation on the other. I illustrate the debate with examples from tensed and tenseless languages from different language families, entertaining the possibility of a conceptual universal pertaining to time as degrees of epistemic modality. Needless to say, putting the question in this way also sets out my (not unassailable) methodology. (shrink)

Following the recent recognition that humans are an active force in nature that gave rise to a new geological epoch, this article explores the implications of the shift to the Anthropocene for social theory. The argument assumes that the emerging conditions compel an expansion and deepening of the timescale of the social-theoretical perspective and that such an enhancement has serious repercussions for the concept of human agency. First, the Anthropocene is conceptualized as a nascent cognitively structured cultural model rather than (...) simply a geological epoch. Second, the vast and deep timescale, in the light of which the new time unit and its generative agency alone make sense, is analysed along with the human world's objective, sociocultural and subjective axes. Finally, the elements of the concept of agency are recomposed in their temporal and relational contexts. At the reflexive level throughout, the need for social theory to develop a cognitive-theoretical approach in conjunction with a weak naturalistic ontology is suggested. (shrink)

The current status of Beilock and Carr's "execution focus" theory of choking under pressure in performance of a sensorimotor skill is reviewed and assessed, mainly from the perspective of cognitive psychology, and put into the context of a wider range of issues, attempting to take philosophical analysis into account. These issues include other kinds of skills, pre-performance practice, post-performance evaluation and repair, and integrating new and creative achievements into repertoires of heavily practiced routines. The focus is on variation in (...) the demand for reflection versus automaticity across the full gamut of learning and experience, not just game-time performance. Though automaticity remains important and there are many circumstances in which being "in the zone" is good whereas “execution focus” can do harm, it appears that reflective action deserves just as much a place at the performance table as does unreflective action. (shrink)