In lieu of an abstract, here is a brief excerpt of the content:Commentary on “Sanity and Irresponsibility”Lloyd Fields (bio)AbstractI make two criticisms of Wilson’s proposal to dispense with a loaded axiological criterion of sanity. First, Edwards’s axiological criterion of sanity, which Wilson accepts, involves the requirement of impartiality, which at least excludes some standards of right and wrong. Second, value pluralism applies only to morally acceptable forms of life and thus presupposes a standard of right and wrong. I conclude by (...) noting that mental illnesses are not sufficiently characterised by extreme and persistent deviance from practical rationality, as conceived by Edwards and Wilson.KeywordsSanity, responsibility, mental illness, value pluralismWilson’s paper is set in an important tradition of which Susan Wolf is a notable exemplar. He tackles the crucially important issue of how practical rationality is related to mental health and of how certain forms of irrationality are connected with mental illness. This issue must be taken into account in order to avoid infecting the criteria of sanity with “idiosyncratic or culturally biased norms.” Like Wolf (1989, 137–151), Wilson holds that sanity is a necessary condition of responsibility. But Wilson rejects the second of Wolf’s two criteria of sanity on the grounds that it invokes a definite normative theory of right and wrong. He proposes instead that whether an agent is sane should be decided on the basis of whether s/he displays practical rationality, as defined by Edwards’s list of seven items. Following Edwards, Wilson implicitly equates “sanity” with “mental health” and “insanity” with “mental illness.” By rejecting an axiological criterion of sanity that depends on a normative theory of right and wrong, Wilson is able to ensure that individuals like JoJo are not judged to be insane and hence not morally responsible for their actions. Wilson is right to stress the importance of our not applying notions such as “mental illness” or “insanity” too widely, especially in such a way as to allow blameworthy persons to escape blame and punishment.But are Wilson’s own criteria of sanity free from dependence on a normative theory, or a normative standard, of right and wrong? First, let us note that Wilson states Edwards’s seventh condition of practical rationality as follows: “holding values that are or would be adopted under the conditions of (negative) freedom.” Edwards’s own formulation of this condition is the following: “having values which have been (or would be) adopted under conditions of freedom, enlightenment and impartiality” (1982, 315). Wilson explains “freedom” as the absence of coercion. It is uncertain what “enlightenment” means in this context. Impartiality would seem to include being impartial between oneself and others and between one’s own tribe, nation or race and that of others. Although this requirement is perhaps too general to be regarded as a sufficient standard [End Page 303] of right and wrong, it is at least part of such normative theories as utilitarianism and Kant’s moral theory, while it is inconsistent with ethical egoism, i.e., the view that an action is right or wrong depending on whether it serves or frustrates the agent’s overall best interests. One could dispute Wilson’s claim, therefore, that Edwards’s seventh item is not a “loaded” axiological criterion.Second, Wilson maintains that we can avoid assuming a loaded axiological criterion for sanity by adopting the position of value pluralism. Wolf’s axiological criterion for sanity is that the agent should be capable of knowing the difference between right and wrong. Wilson holds that this criterion, as presented, invokes a normative theory of right and wrong. The criterion would not do so if it were applied in accordance with value pluralism, which, Wilson says, “rejects the notion that there is one monolithic theory of right and wrong without denying that an actor may behave virtuously or viciously.” Wilson appears to assume that an “unloaded” version of Wolf’s axiological criterion would be more or less equivalent to Edwards’s seventh condition of practical rationality.Value pluralism maintains that there are incompatible forms of life that display distinct virtues. “Whichever form of life one is pursuing there are virtues which elude one because they are available only to people pursuing alternative and... (shrink)

Throughout his career as an academic theologian, Karl Rahner never explicitly set himself the task of working out a theory of language. Nonetheless, the seminal insights for such a theory were formulated in his extensive corpus as functions of other, more properly theological concerns. These consist chiefly of the development of religious doctrine and the cult of the Sacred Heart (See DD, BH, ST, TM, ULM). Other important insights appear in his treatment of the hermeneutics of eschatological statements and the (...) relation between Christianity and poetry (See HES, PC, PP). All these theological concerns have received scholarly attention (See Barnes 1994, Bonsor 1987, Callahan 1985, Corduan 1978, Doud 1983, Hines 1989, Phan 1988, Thompson 1992, Walsh 1977). As for Rahner’s theory of language, scholarship has shown how a coherent system can be constructed from the disparate sources that contain it (See Masson 1979, 224–33; and 1980, 266–72). In developing this previous work, the present article will ex plain how Rahner’s theory is derived from his distinctive meta physics of the symbol. Scholarship is only beginning this discussion, although the centrality of symbolism in Rahner’s thought has been well treated. [See Callahan 1982, Fields 2000 (esp. 6–16, 92–97), Motzko 1976, H. Rahner 1964, Wong 1984.] In addition, this paper will also suggest that an origin of Rahner’s symbolic view of language lies in Heidegger’s aesthetics. Bringing this origin to the fore will lead to a concluding discussion about the debt that Rahner owes his mentor at Freiburg University. (shrink)

A recent critique by Hughes and Tight argued that the 'Learning Society 'and related notions of productivity and change are 'myths'. In response, it is argued here that myth should not be confused with ideological distortion. The rhetorical dimension of current initiatives is a necessary feature of theoretical formulation, intended to influence public discussion and policy-making. The concepts of productivity and change are reconsidered in a wider historical dimension and the communitarian aspects of the project are shown to have (...) a more positive significance in the light of, for example, recent work by Beck and Giddens on 'reflexivity 'and 'risk'. It is acknowledged that faith in the application of technological solutions to societal learning challenges is frequently misplaced. But fear that the project's aims might be subverted by interests hostile to humane educational values is insufficient reason for such scepticism, which is too narrowly grounded and is misdirected. (shrink)

Whatthe influences were which led to the development and formulation of the so-called Theory of Ideas, usually associated with the name of Plato, is a question of perennial interest. And the interest has been increased by the vigorous controversy that, during the last ten years, has been conducted round the question of the exact part played by Socrates in the development of this theory. All the available evidence on the question is accessible and familiar to students of Greek thought, (...) and has been worked over many times. But as there is still no unanimity among scholars as to its true interpretation, it may be worth while to go over the ground once more, even if the only result is to confirm some view which has already been put forward and disputed. (shrink)

The Ollivier–Poulin–Zurek definition of objectivity provides a philosophical basis for the environment as witness formulation of decoherence theory and hence for quantum Darwinism. It is shown that no account of the reference of the key terms in this definition can be given that does not render the definition inapplicable within quantum theory. It is argued that this is not the fault of the language used, but of the assumption that the laws of physics are independent of Hilbert-space decomposition. All (...) evidence suggests that this latter assumption is true. If it is, decoherence cannot explain the emergence of classicality. (shrink)

It is shown in the present paper that the transformation relating a parallel transported vector in a Weyl space to the original one is the product of a multiplicative gauge transformation and a proper orthochronous Lorentz transformation. Such a Lorentz transformation admits a spinor representation, which is obtained and used to deduce the transportation properties of a Weyl spinor, which are then expressed in terms of a composite gauge group defined as the product of a multiplicative gauge group and the (...) spinor group. These properties render a spinor amenable to its treatment as a particle coupled to a multidimensional gauge field in the framework of the Kaluza–Klein formulation extended to multidimensional gauge fields. In this framework, a fiber bundle is constructed with a horizontal, base space and a vertical, gauge space, which is a Lie group manifold, termed its structure group. For the present, the base is the Minkowski spacetime and the vertical space is the composite gauge group mentioned above. The fiber bundle is equipped with a Riemannian structure, which is used to obtain the classical description of motion of a spinor. In its classical picture, a Weyl spinor is found to behave as a spinning charged particle in translational motion. The corresponding quantum description is deduced from the Klein–Gordon equation in the Riemann spaces obtained by the methods of path-integration. This equation in the present fiber bundle reduces to the equation for a Weyl spinor, which is close to but differs somewhat from the squared Dirac equation. (shrink)

A brief description of the ordinary field theory, from the variational and Noether's theorem point of view, is outlined. A discussion is then given of the field equations of Klein-Gordon, Schrödinger, Dirac, Weyl, and Maxwell in their ordinary form on the Minkowskian space-time manifold as well as on the topological space-time manifold R × S3 as they were formulated by Carmeli and Malin, including the latter's most general solutions. We then formulate the general variational principle in the R (...) × S3 topological space, from which we derive the field equations in this space. (shrink)

We propose the quantum field formalism as a new type of stochastic Markov process determined by local configuration. Our proposed Markov process is different with the classical one, in which the transition probability is determined by the state labels related to the character of state. In the new quantum Markov process, the transition probability is determined not only by the state character, but also by the occupation of the state. Due to the probability occupation of the state, the classical (...) relation between the probability and condition probability at different times is no more valid. We have formulated the chain relation of successive transition for transition probability of the quantum Markov process instead of classical Chapman–Kolmogorov equation. The master equation is valid only in a classical Markov process. We have derived Euler-Lagrange equation in operator form as a characteristic equation of motion for the evolution of particle states as a Markov process. (shrink)

We present the theory of Dirac spinors in the formulation given by Bohm on the idea of de Broglie: the quantum relativistic matter field is equivalently re-written as a special type of classical fluid and in this formulation it is shown how a relativistic environment can host the non-local aspects of the above-mentioned hidden-variables theory. Sketches for extensions are given at last.

The paper assesses the rationale, contributions, structure, and challenges of the field of development ethics. Processes of social and economic transformation involve great risks and costs and great opportunities for gain, but the benefits, costs, and risks are typically hugely unevenly and inequitably distributed, as is participation in specifying what they are and their relative importance. The ethics of development examines the benefits, costs, risks, formulations, participation, and options. The paper outlines a series of ways of characterizing such work, (...) arguments for and against its importance, and some of its major sources and contributions, especially from the interdisciplinary stream of work represented over several decades by Denis Goulet. Definitions are diverse since the work covers many different intersections of practice and theorizing, at multiple levels. The paper considers and replies to arguments against discussing development ethics: the claim that it involves only endless proliferation of different opinions, is an expensive luxury that undermines long-run development, is superfluous if one already works with the capability approach or the human rights tradition, or never has influence. Finally, it presents suggestions for how development ethics thinking can have increased impact, with reference to incorporation in policy analysis and planning methods, professional codes and training, and to its intellectual location and communication strategies. The field should articulate the methodological pragmatism which much of it has adopted, consistent with its required role as a practice-oriented interdisciplinary meeting ground. (shrink)

Hartry Field's revised logic for the theory of truth in his new book, Saving Truth from Paradox , seeking to preserve Tarski's T-scheme, does not admit a full theory of negation. In response, Crispin Wright proposed that the negation of a proposition is the proposition saying that some proposition inconsistent with the first is true. For this to work, we have to show that this proposition is entailed by any proposition incompatible with the first, that is, that it is (...) the weakest proposition incompatible with the proposition whose negation it should be. To show that his proposal gave a full intuitionist theory of negation, Wright appealed to two principles, about incompatibility and entailment, and using them Field formulated a paradox of validity (or more precisely, of inconsistency). The medieval mathematician, theologian and logician, Thomas Bradwardine, writing in the fourteenth century, proposed a solution to the paradoxes of truth which does not require any revision of logic. The key principle behind Bradwardine's solution is a pluralist doctrine of meaning, or signification, that propositions can mean more than they explicitly say. In particular, he proposed that signification is closed under entailment. In light of this, Bradwardine revised the truth-rules, in particular, refining the T-scheme, so that a proposition is true only if everything that it signifies obtains. Thereby, he was able to show that any proposition which signifies that it itself is false, also signifies that it is true, and consequently is false and not true. I show that Bradwardine's solution is also able to deal with Field's paradox and others of a similar nature. Hence Field's logical revisions are unnecessary to save truth from paradox. (shrink)

Embryonic and adult field do not exhibit the same properties because they are formed by cell populations whose activities cannot be compared in all respects. Dominant cells are not distributed in the same manner; the same mechanisms are not involved for remodelling of the field, especially after an amputation.In adult organisms, cell equilibrium is disturbed a first time by elimination of differentiated tissues which provokes dedifferentiation and proliferation, and a second time by healing, which restores cell equilibrium of (...) a distal end. Undifferentiated cells begin to differentiate immediately after their production and they reform the missing levels, following a sequence either basipetal or basifugal according to the place of their production . The differentiating regenerate temporarily exhibits embryonic field properties in various experimental conditions which suppress the dominance of the stump or supplies additional undifferentiated material. (shrink)

Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger's Quantum Action Principle descended from Dirac's formulation, which independently led Feynman to his path-integral formulation of quantum mechanics. Part I brings out in more detail the connection between the two formulations, and applications are discussed. Then, the Keldysh-Schwinger time-cycle method of extracting matrix elements is described. Part II will discuss the variational formulation of quantum electrodynamics and the development of source theory.

Quantum field theory (QFT) presents a genuine example of the underdetermination of theory by empirical evidence. There are variants of QFT—for example, the standard textbook formulation and the rigorous axiomatic formulation—that are empirically indistinguishable yet support different interpretations. This case is of particular interest to philosophers of physics because, before the philosophical work of interpreting QFT can proceed, the question of which variant should be subject to interpretation must be settled. New arguments are offered for basing the (...) interpretation of QFT on a rigorous axiomatic variant of the theory. The pivotal considerations are the roles that consistency and idealization play in this case. *Received June 2009; revised August 2009. †To contact the author, please write to: Department of Philosophy, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada; e‐mail: [email protected]. (shrink)

Brown and Pooley’s ‘dynamical approach’ to physical theories asserts, in opposition to the orthodox position on physical geometry, that facts about physical geometry are grounded in, or explained by, facts about dynamical fields, not the other way round. John Norton has claimed that the proponent of the dynamical approach is illicitly committed to spatiotemporal presumptions in ‘constructing’ space-time from facts about dynamical symmetries. In this article, I present an abstract, algebraic formulation of field theories and demonstrate that the (...) proponent of the dynamical approach is not committed, in special relativity, to the illicit presumptions to which Norton refers. (shrink)

According to a Received View, relativistic quantum field theories (RQFTs) do not admit particle interpretations. This view requires that particles be localizable and countable, and that these characteristics be given mathematical expression in the forms of local and unique total number operators. Various results (the Reeh-Schlieder theorem, the Unruh Effect, Haag's theorem) then indicate that formulations of RQFTs do not support such operators. These results, however, do not hold for nonrelativistic QFTs. I argue that this is due to the (...) absolute structure of the classical spacetimes associated with such theories. This suggests that the intuitions that underlie the Received View are non-relativistic. Thus, to the extent that such intuitions are inappropriate in the relativistic context, they should be abandoned when it comes to interpreting RQFTs. (shrink)

Resumen: En la fórmula Campo + [Capital + Habitus] = Prácticas sociales, se condensan las aportaciones de un autor como Pierre Bourdieu a nivel teórico, y de ahí es posible desprender el método de abordaje para la investigación social al recuperar lo objetivo y lo subjetivo de las prácticas sociales. A partir de los conceptos así formulados, se proponen dos lecciones que se desprenden del trabajo intelectual del sociólogo bearnés: lecciones teóricas y algunas lecciones metodológicas derivadas de las primeras, con (...) el fin de contribuir a una sistematización explícita de su modus operandi para la investigación social, toda vez que el autor nunca lo hizo para evitar que sus aportaciones quedasen atrapadas con la rigidez de los esquemas escolásticos. En este sentido, el autor es tanto objeto como instrumento de la reflexión propuesta que mira a la noción de capital como la metodológicamente más importante para la práctica de la investigación social.: In the formula Field + [Capital + Habitus] = Social practices, the contributions of an author such as Pierre Bourdieu are condensed on a theoretical level, and from there it is possible to detach the approached method for social research by recovering the objective and subjective aspects of social practices based on the concepts thus formulated, two lessons are proposed that are derived from the intellectual work of the béarnese sociologist: theoretical lessons and some methodological lessons derived from the former, in order to contribute to an explicit systematization of their modus operandi for social research, since the author never did it to avoid that his contributions were trapped with the rigidity of the scholastic schemes. In this sense, the author is both an object and an instrument of the proposed reflection that looks at the notion of capital as the most important methodologically for the practice of social research. (shrink)

The “absorber theory” of Wheeler and Feynman is supposed to justify the use of retarded potentials in ordinary electromagnetic calculations despite a fundamentally time symmetric interaction. We restate the thesis of absorber theory as follows: here exist causal solutions of time symmetric electrodynamics. In our formulation, absorption need only take place in one direction of time (the future) rather than both, as seems to be required by Wheeler and Feynman. Even with complete absorption, however, the effects of advanced interactions (...) are not entirely eliminated and a residual field may introduce a degree of indeterminacy into particle trajectories obtained using retarded potentials alone. (shrink)

The algebraic structure of the 8-spinor formalism is discussed, and the general form of the 8-component wave equation, equivalent to the second-order 4-component one, is presented. This allows a canonical formulation that will be the first stage of the future Clebsch parametrization, i.e., a relativistic generalization of the Bohm-Schiller-Tiomno pioneering work on the Pauli equation.

Hartry Field's formulation of an epistemological argument against platonism is only valid if knowledge is constrained by a causal clause. Contrary to recent claims (e.g. in Liggins (2006), Liggins (2010)), Field's argument therefore fails the very same criterion usually taken to discredit Benacerraf's earlier version.

Dirac's equation is reviewed and found to be based on nonrelativistic ideas of probability. A 4-space formulation is proposed that is completely Lorentzinvariant, using probability distributions in space-time with the particle's proper time as a parameter for the evolution of the wave function. This leads to a new wave equation which implies that the proper mass of a particle is an observable, and is sharp only in stationary states. The model has a built-in arrow of time, which is associated (...) with a restriction to positive-energy solutions. The usual solution for a Coulomb field is retained, though it now implies a slightly different charge distribution. The conventional nonstationary solutions become invalid. The new formulation appears to offer a resolution of difficulties that have been associated with Dirac's equation. It also predicts the occurrence of virtual pairs at a level that may be experimentally testable, and suggests a mechanism for self-cancellation of the vacuum energy. (shrink)

The physical, mathematical, and philosophical foundations of the quantum theory of free Bose fields in fixed general relativistic spacetimes are examined. It is argued that the theory is logically and mathematically consistent whereas semiclassical prescriptions for incorporating the back-reaction of the quantum field on the geometry lead to inconsistencies. Still, the relations and heuristic value of the semiclassical approach to canonical and covariant schemes of quantum gravity-plus-matter are assessed. Both conventional and rigorous formulations of the theory and of its (...) principal predictions, cosmological particle creation and horizon radiation, are expounded and compared. Special attention is devoted to spacetime properties needed for the existence or uniqueness of the relevant theoretical elements , renormalization of the stress tensor). The emergence of unitarily inequivalent representations in a single dynamical context is used as motivation for the introduction of the abstract $\rm C\sp{\*}$-algebraic axiomatic formalism. The operationalist and conventionalist claims of the original abstract algebraic program are criticized in favor of its tempered outgrowth, local quantum physics. The interpretation of the theory as a wave mechanics of classical field configurations, deriving from the Schrodinger representations of the abstract algebra, is discussed and is found superior, at least on the level of analogy, to particle or harmonic oscillator interpretations. Further, it is argued that the various detector results and the Fulling nonuniqueness problem do not undermine the particle concept in the ways commonly claimed. In particular, arguments are offered against the attribution of particle status to the Rindler quanta, against the physical realizability of the Rindler vacuum, and against the more general notion of observer-dependence as to the definition of 'particle' or 'vacuum'. However, the question of the ontological status of particles is raised in terms of the consistency of quantum field theory with non-reductive realism about particles, the latter being conceived as entities exhibiting attributes of discreteness and localizability. Two arguments against non-reductive realism about particles, one from axiomatic algebraic local quantum theory in Minkowski spacetime and one from quantum field theory in curved spacetime, are developed. (shrink)

In this article, I examine whether or not the Hamiltonian and Lagrangian formulations of classical mechanics are equivalent theories. I do so by applying a standard for equivalence that was recently introduced into philosophy of science by Halvorson and Weatherall. This case study yields three general philosophical payoffs. The first concerns what a theory is, while the second and third concern how we should interpret what our physical theories say about the world. 1Introduction 2When Are Two Theories Equivalent? 3Preliminaries on (...) Classical Mechanics 3.1Hamiltonian mechanics 3.2Lagrangian mechanics 4Are Hamiltonian and Lagrangian Mechanics Equivalent Theories? 4.1Tangent bundle versus cotangent bundle 4.2Tangent bundle versus symplectic manifold 4.3Lagrangian vector field versus Hamiltonian vector field 5Conclusion Appendix. (shrink)

The generalized thermodynamic potential analysis of nonlinear irreversible processes precludes the analysis of rotational processes. The nonexistence of scalar potential functions necessitates a thermodynamic analysis of the system forces. A field analysis in the phase space of the generalized displacements and velocities treats the force components as tensors of second order that tend to deform and rotate the irreversible process, which is viewed as an elastic material. The analysis of chemical oscillatory processes involves the introduction of the thermodynamic vector (...) potential, which is subsequently used in the formulation of a variational principle and to define an energy flux vector. The direction of energy flow elucidates the mechanism by which steady motion is maintained and it is a characteristic property of open systems. Field analyses of systems that are described by half and single degrees of freedom are contrasted. (shrink)

The general theme of this article is the actual practice of how definitions are justified and formulated in mathematics. The theoretical insights of this article are based on a case study of topological definitions of chaos. After introducing this case study, I identify the three kinds of justification which are important for topological definitions of chaos: natural-world-justification, condition-justification and redundancy-justification. To my knowledge, the latter two have not been identified before. I argue that these three kinds of justification are widespread (...) in mathematics. After that, I first discuss the state of the art in the literature about the justification of definitions in the light of actual mathematical practice. I then go on to criticize Lakatos’s account of proof-generated definitions—the main account in the literature on this issue—as being limited and also misguided: as for topological definitions of chaos, in nearly all mathematical fields various kinds of justification are found and are also reasonable. (shrink)

In this article, we analyze a seven-page speech delivered by Sukarno, first president of Indonesia, at the opening of the First Asia-Africa Conference where he advocated Afro-Asian unity/ solidarity as the panacea for colonialism, imperialism, and neocolonialism. Our aim, by focusing on a single text, is to demonstrate the role of an intensive analysis of ‘outstanding’ singular texts within the broad field of discourse analysis. The analysis is rooted within a positive discourse analysis (PDA) framework, with special focus on (...) lexical choices and variation, modality, intertextuality/interdiscursivity, metaphorical representations, ideological use of pronouns, indexical meaning, and strategies of argumentation. Through these rhetorical techniques, we illustrate how an independence leader constructs an emancipatory discourse aimed at reconciling the ideas and beliefs of the leaders of two continents that have a common history of colonialism. The study sheds light on the role of key speeches and political leaders in promoting an emancipatory discourse, and exemplifies how (presidential) rhetoric can be construed as offering a message of hope, strength, and inspiration while playing the role of a unifier, thereby highlighting the major underlying assumption of PDA: a commitment to a discourse of social change. (shrink)

Bioethical research has tended to focus on theoretical discussion of the principles on which the analysis of ethical issues in biomedicine should be based. But this discussion often seems remote from biomedical practice where researchers and physicians confront ethical problems. On the other hand, published empirical research on the ethical reasoning of health care professionals offer only descriptions of how physicians and nurses actually reason ethically. The question remains whether these descriptions have any normative implications for nurses and physicians? In (...) this article, we illustrate an approach that integrates empirical research into the formulation of normative ethical principles using the moral-philosophical method of Wide Reflective Equilibrium (WRE). The research method discussed in this article was developed in connection with the project ‘Bioethics in Theory and Practice’. The purpose of this project is to investigate ethical reasoning in biomedical practice in Denmark empirically. In this article, we take the research method as our point of departure, but we exclusively discuss the theoretical framework of the method, not its empirical results. We argue that the descriptive phenomenological hermeneutical method developed by Lindseth and Norberg (2004) and Pedersen (1999) can be combined with the theory of WRE to arrive at a decision procedure and thus a foundation for the formulation of normative ethical principles. This could provide health care professionals and biomedical researchers with normative principles about how to analyse, reason and act in ethically difficult situations in their practice. We also show how to use existing bioethical principles as inspiration for interpreting the empirical findings of qualitative studies. This may help researchers design their own empirical studies in the field of ethics. (shrink)

The formulation of quantum mechanics developed by Bohm, which can generate well-defined trajectories for the underlying particles in the theory, can equally well be applied to relativistic quantum field theories to generate dynamics for the underlying fields. However, it does not produce trajectories for the particles associated with these fields. Bell has shown that an extension of Bohm’s approach can be used to provide dynamics for the fermionic occupation numbers in a relativistic quantum field theory. In the (...) present paper, Bell’s formulation is adopted and elaborated on, with a full account of all technical detail required to apply his approach to a bosonic quantum field theory on a lattice. This allows an explicit computation of trajectories for massive and massless particles in this theory. Also particle creation and annihilation, and their impact on particle propagation, is illustrated using this model. (shrink)

The earliest formulation of the Higgs naturalness argument has been criticized on the grounds that it relies on a particular cutoff-based regularization scheme. One response to this criticism has been to circumvent the worry by reformulating the naturalness argument in terms of a renormalized, regulator-independent parametrization. An alternative response is to deny that regulator dependence poses a problem for the naturalness argument, because nature itself furnishes a particular, physically correct regulator for any effective field theory in the form (...) of that EFT’s physical cutoff, together with an associated set of bare parameters that constitute the unique physically preferred “fundamental parameters” of the EFT. Here, I argue that both lines of defense against the initial worry about regulator dependence are flawed. I argue that reformulation of the naturalness argument in terms of renormalized parameters simply trades dependence on a particular regularization scheme for dependence on a particular renormalization scheme, and that one or another form of scheme dependence afflicts all formulations of the Higgs naturalness argument. Concerning the second response, I argue that the grounds for suspending the principle of regularization or renormalization scheme independence in favor of a physically preferred parametrization are thin; the assumption of a physically preferred parametrization, whether in the form of bare “fundamental parameters” or renormalized “physical parameters,” constitutes a theoretical idle wheel in generating the confirmed predictions of established EFTs, which are invariably scheme-independent. I highlight certain features of the alternative understanding of EFTs, and the EFT-based approach to understanding the foundations of QFT, that emerges when one abandons the assumption of a physically preferred parametrization. I explain how this understanding departs from several dogmas concerning the mathematical formulation and physical interpretation of EFTs in high-energy physics. (shrink)

Using the example of classical electrodynamics, I argue that the concept of fields as mediators of particle interactions is fundamentally flawed and reflects a misguided attempt to retrieve Newtonian concepts in relativistic theories. This leads to various physical and metaphysical problems that are discussed in detail. In particular, I emphasize that physics has not found a satisfying solution to the self-interaction problem in the context of the classical field theory. To demonstrate the superiority of a pure particle ontology, I (...) defend the direct interaction theory of Wheeler and Feynman against recent criticism and argue that it provides the most cogent formulation of classical electrodynamics. (shrink)

v. 1. Classical theory.--v. 2. Functional formulation of S-matrix theory.

Although Trautman (1966) appears to give a unified‐field treatment of electrodynamics in Newtonian spacetime, there are difficulties in cogently interpreting it as such in relation to the facts of electromagnetic and magneto‐electric induction. Presented here is a covariant, nonunified field treatment of the Maxwell‐Lorentz theory with absolute space. This dispels a worry in Earman (1989) as to whether there are any historically realistic examples in which absolute space plays an indispensable role. It also shows how Trautman's formulation (...) can be rendered coherent, albeit at the cost of deunification, by reinterpreting the Maxwell tensor as a composite object involving, in part, elements from Newtonian spacetime. (shrink)

This, the second in the Psychological Series of Duquesne Studies, is a translation of the author’s classic Théorie du Champ de la Conscience, written in 1953, first published in 1957. The thesis of the book is that ‘every total field of consciousness consists of three domains, each domain exhibiting a specific type of organization of its own. The first domain is the theme, that which engrosses the mind of the experiencing subject, or as it is often expressed, which stands (...) in the “focus of his attention”. Second is the thematic field, defined as the totality of those data, co-present with the theme, which are experienced as materially relevant or pertinent to the theme and form the background or horizon out of which the theme emerges as the center. The third includes data which, though co-present with, have no relevancy to, the theme and comprise in their totality what we propose to call the margin’. The aim is ‘to bring out the structure of each of these domains’. We perceive a material thing in a context of other things, and if our mind is preoccupied with a problem we are also aware not only of its intellectual background and possible solutions, but of our actual environment and of ourselves as sitting in our room or walking in the street; all these data are experienced simultaneously. Consciousness here includes not only perceiving but remembering, imagining etc and its objects may be material things, mathematical relations, musical compositions or theoretical implications. These objects of consciousness are, however, objects understood descriptively, not as independent realities with causal relations to a mind but as they appear to a subject. It is the intentionality of consciousness, the bipolarity of the subject and its object which is shown to render inadequate Bergson‘s and William James’ correction of Humean empiricism in terms of temporal interpenetration of elements of the ’stream of thought‘, although the author uses concepts and theories of James’ to formulate and present problems to which a more Husserlian answer is given. Gestalt theory is explored and its phenomenological potential used to solve the problems of a theory of organization. (shrink)

Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's (...) ability to perform operations on a field in one spacetime region that can disentangle its state from the state of the field in other spacelike-separated regions. These limitations show just how deeply entrenched entanglement is in relativistic quantum field theory, and yield a fresh perspective on the ways in which the theory differs conceptually from both standard non-relativistic quantum theory and classical relativistic field theory. (shrink)

After a brief review of the field formulations and the relativistic non-instantaneous action-at-a-distance formulations of some well known classical theories, we study Rivacoba’s generalization of a theory with a linearly rising potential as a relativistic non-instantaneous action-at-a-distance theory. For this case we construct the corresponding field theory, which turns out to coincide with a model proposed by Kiskis to describe strong interactions. We construct the action functional for this field theory. Although this model belongs to the class (...) of Lagrangian theories with higher derivatives, it is shown that its action-at-a-distance counterpart has a much simpler form. A proposal to construct an action-at-a-distance description of Yang-Mills interactions is also presented. (shrink)

The consensus view among philosophers of physics is that relativistic quantum field theory does not describe particles. That is, according to QFT, particles are not fundamental entities. How is this negative conclusion compatible with the positive role that the particle notion plays in particle physics? The first part of this chapter lays out multiple lines of negative argument that all conclude that QFT cannot be given a particle interpretation. These arguments probe the properties of the `particles' in standard formulations (...) of QFT and the limited applicability of `particle' representations. The second part of the chapter surveys proposals for non-fundamental roles that the particle concept plays in particle physics. The conclusion suggests directions for future philosophical research. (shrink)

I here argue for a particular formulation of truth-deflationism, namely, the propositionally quantified formula, (Q) “For all p, <p> is true iff p”. The main argument consists of an enumeration of the other (five) possible formulations and criticisms thereof. Notably, Horwich’s Minimal Theory is found objectionable in that it cannot be accepted by finite beings. Other formulations err in not providing non-questionbegging, sufficiently direct derivations of the T-schema instances. I end by defending (Q) against various objections. In particular, I (...) argue that certain circularity charges rest on mistaken assumptions about logic that lead to Carroll’s regress. I show how the propositional quantifier can be seen as on a par with first-order quantifiers and so equally acceptable to use. While the proposed parallelism between these quantifiers is controversial in general, deflationists have special reasons to affirm it. I further argue that the main three types of approach the truth-paradoxes are open to an adherent of (Q), and that the derivation of general facts about truth can be explained on its basis. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy of Music Education Review 13.1 (2005) 5-19 [Access article in PDF] Didactology as a Field of Theory and Research in Music Education Frede V. Nielsen Danish University of Education, Copenhagen Two problem areas which both concern the question of music pedagogy as a field of theory and research are addressed in this paper. The first one concerns the question of the normative and prescriptive versus the (...) descriptive and analytical aspects of music pedagogy. The second is about the theory of and the criteria for the selection of content in music education. In order to address these problems it is necessary to formulate certain preconditions, each of which comprises important distinctions. Preconditions and Problem Areas German pedagogical tradition features the term Didaktik, and when the area in question is placed in relation to an educational subject, such as music, the word and the concept of Fachdidaktik (subject-oriented Didaktik) arises. In Scandinavian countries corresponding concepts can be found.1Two features of the German concept of Didaktik should be emphasized. First, it denotes both the theory and science and the planning and decision-making of teaching and learning. Thus it refers to the theoretically oriented as well [End Page 5] as the practically directed concerns in pedagogy. Second, from the point of view of disciplines, Didaktik is part of the discipline of pedagogy, but there are diverging conceptions and theories of how it is to be delimited in relation to other subsections of pedagogy (such as teaching methodology). Roughly speaking, there exists a narrow or specific conception of Didaktik, which is first and foremost concerned with the question of the content, aim, and rationale of teaching and learning, together with the criteria for the selection of content, and a wide conception, according to which practically all problems regarding teaching and learning are viewed as didaktisch (including questions of teaching methods, forms of organization, and the choice of media).Significant arguments can be put forward in favor of the specific concept of Didaktik because it provides the opportunity (and actually the compulsion) to focus distinctly and separately on the fundamental issue of educational content and its selection. From this specific point of view, Didaktik can be defined as dealing with the theory and science, together with planning and decision-making, about the rationale, aim, and content of teaching and learning. The most central didactic question may then be formulated in this way: What is essential to learn, and therefore to teach, and why? In the present context it is important to note that this definition comprises both a descriptive/analytical and a prescriptive/normative determination of Didaktik. Hence arises the first of the problem areas I intend to address in greater detail, that is, the question of the normative and prescriptive character of pedagogy versus its descriptive, analytical, and scientific standing (in the present case that part of pedagogy which I have termed Didaktik).Several types of high-level rationale for the selection of teaching/learning content can be established. For general education in a subject like music (yet with application to other subjects as well) I have formulated four such types, which I also refer to as paradigms.2 Here I use the word "didactics" in the sense of the German Didaktik. The first type I call "basic subject didactics" in which the point of departure is the subject itself and its structure, in our case the subject of music. There is more on this point below. The second type is "ethno-didactics" in which the point of departure is pupil culture and the everyday experience of the pupils or criteria arising out of current local culture. It represents a micro-cultural position in post-modern style. The third type is "challenge didactics" in which the point of departure is the great social problems, such as environmental issues, global North-South relations, conditions of democracy, or for that matter terrorism. This position may be said to have a macro-cultural, problem-oriented, and inter-disciplinary bias. A theory of social criticism is a frequent theoretical anchoring point... (shrink)

In this article, I discuss a trivialization worry for Hartry Field’s official formulation of the access problem for mathematical realists, which was pointed out by Øystein Linnebo (and has recently been made much of by Justin Clarke-Doane). I argue that various attempted reformulations of the Benacerraf problem fail to block trivialization, but that access worriers can better defend themselves by sticking closer to Hartry Field’s initial informal characterization of the access problem in terms of (something like) general (...) epistemic norms of coincidence avoidance. (shrink)

The ontology behind quantum mechanics has been the subject of endless debate since the theory was formulated some 100 years ago. It has been suggested, at one time or another, that the objects described by the theory may be individual particles, waves, fields, ensembles of particles, observers, and minds, among many other possibilities. I maintain that these disagreements are due in part to a lack of precision in the use of the theory’s various semantic designators. In particular, there is some (...) confusion about the role of representation, reference, and denotation in the theory. In this article, I first analyze the role of the semantic apparatus in physical theories in general and then discuss the corresponding ontological implications for quantum mechanics. Subsequently, I consider the extension of the theory to quantum fields and then analyze the semantic changes of the designators with their ontological consequences. In addition to the classical arguments to rule out a particle ontology in the case of non-relativistic quantum field theory, I show how the existence of black holes makes the proposal of a particle ontology in general spacetimes unfeasible. I conclude by proposing a provisional pluralistic ontology of fields and spacetime and discussing some prospects for possible future ontological economies. (shrink)

A realistic axiomatic formulation of Galilean Quantum Field Theories is presented, from which the most important theorems of the theory can be deduced. In comparison with others formulations, the formal aspect has been improved by the use of certain mathematical theories, such as group theory and the theory of rigged Hilbert spaces. Our approach regards the fields as real things with symmetry properties. The general structure is analyzed and contrasted with relativistic theories.

Maxwell accounted for the apparent elastic behavior of the electromagnetic field by augmenting Ampere’s law with the so-called displacement current, in much the same way that he treated the viscoelasticity of gases. Maxwell’s original constitutive relations for both electrodynamics and fluid dynamics were not material invariant. In the theory of viscoelastic fluids, the situation was later corrected by Oldroyd, who introduced the upper-convective derivative. Assuming that the electromagnetic field should follow the general requirements for a material field, (...) we show that if the upper convected derivative is used in place of the partial time derivative in the displacement current term, Maxwell’s electrodynamics becomes material invariant. Note, that the material invariance of Faraday’s law is automatically established if the Lorentz force is admitted as an integral part of the model. The new formulation ensures that the equation for conservation of charge is also material invariant in vacuo. The viscoelastic medium whose apparent manifestation are the known phenomena of electrodynamics is called here the metacontinuum. (shrink)

The concept of quantum principle is introduced as a principle whose formulation is based on specific quantum ideas and notions. We consider three such principles, viz, those of quantizability, local gauge symmetry, and supersymmetry, and their role in the development of the quantum field theory (QFT). Concerning the first of these, we analyze the formal aspects and physical contents of the renormalization procedure in QFT and its relation to ultraviolet divergences and the renorm group. The quantizability principle is (...) formulated as an existence condition of a self-consistent quantum version with a given mechanism of the field interaction. It is shown that the consecutive (from a historical point of view) use of these quantum principles puts still larger limitations on possible forms of field interactions. (shrink)

The canonical proper time formulation of relativistic dynamics provides a framework from which one can describe the dynamics of classical and quantum systems using the clock of those very systems. The framework utilizes a canonical transformation on the time variable that is used to describe the dynamics, and does not transform other dynamical variables such as momenta or positions. This means that the time scales of the dynamics are described in terms of the natural local time coordinates, which is (...) the most meaningful parameterization of phenomena such as the approach to equilibrium, or the back reaction of interacting systems. We summarize the formalism of the canonical proper time framework, and provide example calculations of the eigenvalues of the hydrogen atom and near horizon description of a scalar field near a Schwarzschild black hole. (shrink)

The paper uses the tools of mereotopology (the theory of parts, wholes and boundaries) to work out the implications of certain analogies between the 'ecological psychology' of J. J Gibson and the phenomenology of Edmund Husserl. It presents an ontological theory of spatial boundaries and of spatially extended entities. By reference to examples from the geographical sphere it is shown that both boundaries and extended entities fall into two broad categories: those which exist independently of our cognitive acts (for example, (...) the planet Earth, its exterior surface); and those which exist only in virtue of such acts (for example: the equator, the North Sea). The visual field, too, can be conceived as an example of an extended entity that is dependent in the sense at issue. The paper suggests extending this analogy by postulating entities which would stand to true judgments as the visual field stands to acts of visual perception. The judgment field is defined more precisely as that complex extended entity which comprehends all entities which are relevant to the truth of a given (true) judgment. The work of cognitive linguists such as Talmy and Langacker, when properly interpreted, can be shown to yield a detailed account of the structures of the judgment fields corresponding to sentences of different sorts. A new sort of correspondence-theoretic definition of truth for sentences of natural language can then be formulated on this basis. (shrink)

Much attention has been directed to the philosophical implications of quantum field theory (QFT) in recent years; this paper attempts a survey in low-technical terms. First the relations of QFT to other kinds of theory, classical and quantum, particle and field, are discussed. Then various formulations of QFT are introduced, along with related interpretations. Finally a review is made of some of the most interesting foundational problems.