The synthetic Maxwell equation, uniting all Maxwell equations within the framework of a Clifford algebra, can be treated as a first-order wave equation. A Hilbert space of its solutions describing classical free electromagnetic fields is introduced. This Hilbert space can be called “classical,” which means that the Planck constant is absent. The scalar square of an element of this space is the total energy of the field. The time independence of the scalar product is demonstrated. The time and space translation (...) generators are found; they are shown to not coincide with the energy and momentum operators. (shrink)

A survey of democratic institutions and republics reveals the aristocratic origins of democracy.

This essay asks why Aristotle, certainly no friend to unlimited democracy, seems so much more comfortable with unconstrained rhetoric in political deliberation than current defenders of deliberative democracy. It answers this question by reconstructing and defending a distinctly Aristotelian understanding of political deliberation, one that can be pieced together out of a series of separate arguments made in the Rhetoric, the Politics, and the Nicomachean Ethics.

I outline some of my work and results on my matter-gravity entanglement hypothesis, according to which the entropy of a closed quantum gravitational system is equal to the system’s matter-gravity entanglement entropy. The main arguments presented are: that this hypothesis is capable of resolving what I call the second-law puzzle, i.e. the puzzle as to how the entropy increase of a closed system can be reconciled with the asssumption of unitary time-evolution; that the black hole information loss puzzle may be (...) regarded as a special case of this second law puzzle and that therefore the same resolution applies to it; that the black hole thermal atmosphere puzzle can be resolved by adopting a radically different-from-usual description of quantum black hole equilibrium states, according to which they are total pure states, entangled between matter and gravity in such a way that the partial states of matter and gravity are each approximately thermal equilibrium states ; that the Susskind–Horowitz–Polchinski string-theoretic understanding of black hole entropy as the logarithm of the degeneracy of a long string cannot be quite correct but should be replaced by a modified understanding according to which it is the entanglement entropy between a long string and its stringy atmosphere, when in a total pure equilibrium state in a suitable box, which ) goes over, at strong-coupling, to a black hole in equilibrium with its thermal atmosphere. The modified understanding in is based on a general result, which I also describe, which concerns the likely state of a quantum system when it is weakly coupled to an energy-bath and the total state is a random pure state with a given energy. This result generalizes Goldstein et al.’s ‘canonical typicality’ result to systems which are not necessarily small. (shrink)

This essay asks why Aristotle, certainly no friend to unlimited democracy, seems so much more comfortable with unconstrained rhetoric in political deliberation than current defenders of deliberative democracy. It answers this question by reconstructing and defending a distinctly Aristotelian understanding of political deliberation, one that can be pieced together out of a series of separate arguments made in the Rhetoric, the Politics, and the Nicomachean Ethics.

Hobbes has served for both philosophers and political scientists as the paradigm case of someone who held an egoistic view of human nature. In this article I shall attempt to show that the almost unanimous view that Hobbes held psychological egoism is mistaken, and further that Hobbes's political theory does not demand an egoistic psychology, but on the contrary is incompatible with psychological egoism. I do not maintain that Hobbes was completely consistent; in fact, I shall show that there was (...) a continuous development in Hobbes's works away from an egoistic psychology. But I do think that the main outlines of Hobbes's political theory, i.e., his account of the laws of nature, the right of nature, the obligations imposed by laws and covenants, and the rights and duties of citizen and sovereign, are essentially the same in The Elements of Law, De Cive, and Leviathan. I thus hold that even in his earliest work, The Elements, the only one where a charge of egoism is justifiable, the political theory does not depend on egoism. But the first and most important point to be established is that Hobbes did not hold an egoistic psychology. (shrink)

Paul Ricœur, with Rawls, Walzer, and Habermas as some of his main interlocuters, has developed a substantial and distinctive body of political thought. On the one hand, it articulates a rich conception of the paradoxical character of the domain of politics. On the other, it provides a fresh approach to such major topics as the relationship among politics, economics, and ethics and between concern for universal human rights and respect for cultural plurality. His work, rooted as it is in Aristotle, (...) Kant, and Hegel, also provides resources for a fruitful rethinking of the issues at stake in the liberal-communitarian debate. (shrink)

Block's cases of superblindsight, the pneumatic drill, and the Sperling experiments do not show that P-consciousness and Aconsciousness can come apart. On certain tendentious but not implausible construals of the concepts of P- and A-consciousness, they refer to the same psychological phenomenon.

The justification of Bayes' rule by cognitive rationality principles is undertaken by extending the propositional axiom systems usually proposed in two contexts of belief change: revising and updating. Probabilistic belief change axioms are introduced, either by direct transcription of the set-theoretic ones, or in a stronger way but nevertheless in the spirit of the underlying propositional principles. Weak revising axioms are shown to be satisfied by a General Conditioning rule, extending Bayes' rule but also compatible with others, and weak updating (...) axioms by a General Imaging rule, extending Lewis' rule. Strong axioms (equivalent to the Miller–Popper axiom system) are necessary to justify Bayes' rule in a revising context, and justify in fact an extended Bayes' rule which applies, even if the message has zero probability. (shrink)

This paper attempts to refute the familiar sceptical argument based upon the theoretical possibility of systematic transpositions of colours in different observers? colour?vision. The force of this argument lies in its apparent demonstration that cases of transposed colour?vision would be on a quite different cognitive footing from ordinary cases of colour?blindness; since colour transposition, unlike colour?blindness, could not possibly have any effect on the use of language by a person who suffered from it. It is argued (1) that this demonstration (...) works only if we assume the truth of a certain theory of the logical nature of our colour vocabulary, and (2) that this theory is false. (shrink)

We trace the genealogy of wisdom to show that its status in epistemological and management discourse has gradually declined since the Scientific Revolution. As the status of wisdom has declined, so the status of rational science has grown. We argue that the effects on the practice of management of the decline of wisdom may impede management practice by clouding judgment, degrading decision making, and compromising ethical standards. We show that wisdom combines transcendent intellection and rational process with ethics to provide (...) a balanced and integrated way of knowing, deciding, and acting for managers in a complex and uncertain business environment. Finally, we discuss the role and value of wisdom across a range of business functions including knowledge management, strategic management, leadership and international business. (shrink)

We provide a suitable theoretical foundation for the notion of the quantum coherent state which describes the electrostatic field due to a static external macroscopic charge distribution introduced by the author in 1998 and use it to rederive the formulae obtained in 1998 for the inner product of a pair of such states. (We also correct an incorrect factor of 4π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4\pi$$\end{document} in some of those formulae.) Contrary to what one might expect, (...) this inner product is usually non-zero whenever the total charges of the two charge distributions are equal, even if the charge distributions themselves are different. We actually display two different frameworks that lead to the same inner-product formulae, in the second of which Gauss’s law only holds in expectation value. We propose an experiment capable of ruling out the latter framework. We then address the problem of finding a product picture for QED—i.e. a reformulation in which it has a total Hamiltonian, arising as a sum of a free electromagnetic Hamiltonian, a free charged-matter Hamiltonian and an interaction term, acting on a Hilbert space which is a subspace (the physical subspace) of the full tensor product of a charged-matter Hilbert space and an electromagnetic-field Hilbert space. (The traditional Coulomb gauge formulation of QED isn’t a product picture in this sense because, in it, the longitudinal part of the electric field is a function of the charged matter operators.) Motivated by the first framework for our coherent-state construction, we find such a product picture and exhibit its equivalence with Coulomb gauge QED both for a charged Dirac field and also for a system of non-relativistic charged balls. For each of these systems, in all states in the physical subspace (including the vacuum in the case of the Dirac field) the charged matter is entangled with longitudinal photons and Gauss’s law holds as an operator equation; albeit the electric field operator (and therefore also the full Hamiltonian) while self-adjoint on the physical subspace, fails to be self-adjoint on the full tensor-product Hilbert space. The inner products of our electrostatic coherent states and the product picture for QED are relevant as analogues to quantities that play a rôle in the author’s matter-gravity entanglement hypothesis. Also, the product picture provides a temporal gauge quantization of QED which appears to be free from the difficulties which plagued previous approaches to temporal-gauge quantization. (shrink)

1. L'immense régression -- 2. La lec̨on de Greta Thunberg.

The term « subsidiarity » started to appear in managerial literature in the last few years, to advocate innovative managerial practices. The resurgence of this concept that originated from a political context can create problems. The goal of this paper is to expose the main difficulty of translating this concept from the political field to a corporate situation. Indeed, subsidiarity gives its inherent power back to the lower echelons of a political community. But the economic approach of organization theory assumes, (...) mainly by the means of agency theory, a top-down conception of the firm. Thus, it is not the lower echelons which delegates power to the higher echelons. Consequently, the subsidiarity principle seems not to be applicable to a corporate setting, unless we reverse the assumptions of economic approach of organization theory. Then, the principle of subsidiarity could be used as an illusion to con employees into believing they have legitimate power, in order to manipulate their freedom, and domesticate it for managerial ends. (shrink)

Financial relationships between physicians and industry are widespread. Highly publicized financial relationships between physicians and industry raised disturbing questions about the trustworthiness of clinical research, practice guidelines, and clinical care decisions. Recent incidents spurred calls for stricter conflict of interest policies and led to new federal laws and NIH regulations. These stricter policies have evoked praise, concerns, and objections. Because these new federal requirements need to be interpreted and implemented, spirited discussions of conflicts of interest in medicine will continue.

In this paper, we analyze the astronomical tables in al-Zīj al-Muqtabis by Ibn al-Kammād (early twelfth century, Córdoba), based on the Latin and Hebrew versions of the lost Arabic original, each of which is extant in a unique manuscript. We present excerpts of many tables and pay careful attention to their structure and underlying parameters. The main focus, however, is on the impact al-Muqtabis had on the astronomy that developed in the Iberian Peninsula and the Maghrib and, more generally, on (...) the transmission and diffusion of Indian astronomy in the West after the arrival of al-Khwārizmī’s astronomical tables in al-Andalus (Muslim Spain) in the tenth century. This tradition of Indian origin competed with the Greek tradition represented by al-Battānī’s astronomical tables and was much more alive in the Iberian Peninsula and the Maghrib than previously thought. From Spain, the Indian tradition entered mainstream European astronomy, where we find echoes of it in all versions of the Alfonsine Tables, both in manuscript and in the printed editions (beginning in 1483), as well as in Copernicus’s De Revolutionibus, published in 1543. (shrink)

Initial demarcations i This study is an exercise in political philosophy. Though no concise, comprehensive definition of political philosophy is readily ...

In this article, I would like to show that, concerning this era of ubiquitous technology and its teleologics, the stakes concern the constitution of a new milieu of psychic and collective individuation, which is at least as radically new as the writing of language was in its time; second, I attempt to show that what is at stake relates to the way technology changes the télos, that is, the rule of ends which shape the social organization of collective desire as (...) a system of care and remedies; and, third, I argue that this era requires a new libidinal economy, if we admit that there can be no télos without desire. I will argue that new ubiquitous digital networks operating as new technical associated milieus have fundamental effects for symbolic and psychical associated milieus, and thus for new ways of being. (shrink)

The common ancestor of modern humans and the great apes is estimated to have lived between 5 and 8 Myrs ago, but the earliest evidence in the human, or hominid, fossil record is Ardipithecus ramidus, from a 4.5 Myr Ethiopian site. This genus was succeeded by Australopithecus, within which four species are presently recognised. All combine a relatively primitive postcranial skeleton, a dentition with expanded chewing teeth and a small brain. The most primitive species in our own genus, Homo habilis (...) and Homo rudolfensis, are little advanced over the australopithecines and with hindsight their inclusion in Homo may not be appropriate. The first species to share a substantial number of features with later Homo is Homo ergaster, or ‘early African Homo erectus’, which appears in the fossil record around 2.0 Myr. Outside Africa, fossil hominids appear as Homo erectus‐like hominids, in mainland Asia and in Indonesia close to 2 Myr ago; the earliest good evidence of ‘archaic Homo’ in Europe is dated at between 600–700 Kyr before the present. Anatomically modern human, or Homo sapiens, fossils are seen first in the fossil record in Africa around 150 Kyr ago. Taken together with molecular evidence on the extent of DNA variation, this suggests that the transition from ‘archiac’ to ‘modern’ Homo may have taken place in Africa. (shrink)

Leon Chwistek's 1924 paper ?The Theory of Constructive Types? is cited in the list of recent ?contributions to mathematical logic? in the second edition of Principia Mathematica, yet its prefatory criticisms of the no-classes theory have been seldom noticed. This paper presents a transcription of the relevant section of Chwistek's paper, comments on the significance of his arguments, and traces the reception of the paper. It is suggested that while Russell was aware of Chwistek's points, they were not important in (...) leading him to the adoption of extensionality that marks the second edition of PM. Rudolf Carnap seems to have independently rediscovered Chwistek's issue about the scope of class expressions in identity contexts in his Meaning and Necessity in 1947. (shrink)

A landmark work in which one of the UK's leading political writers makes a passionate defence of the importance of political debate to modern democracy.

Part I. Phenomenology -- Phenomenology and the return to beginnings -- Delimitations: phenomenology and the end of metaphysics -- Part II. Sallis's Plato interpretation -- Being and logos: reading the Platonic dialogues -- Chorology: on beginning in Plato's Timaeus -- Platonic legacies -- Part III. Art/Sallis -- Stone -- Shades-of painting at the limit -- Topographies -- Part IV. Sallis and other thinkers -- The gathering of reason -- Spacings-of reason and imagination in texts of Kant, Fichte, Hegel -- Echoes: (...) after Heidegger -- Crossings: Nietzsche and the space of tragedy -- Part V. Sallis speaks directly -- Double truth -- Force of imagination: the sense of the elemental -- On translation -- The Sallis/Derrida dialogue -- Derrida's "Tense" and Sallis's The verge of philosophy. (shrink)

According to a model of inter-theoretic relations advocated by Patricia S. Churchland, psychology will need to revise its theories so as to fit them for "smooth reduction" to the neurosciences, and this will lead to the elimination of reference to intentional contents from psychology. It is argued that this model is ambiguous; on one reading it is empirically implausible, on the other its methodology is confused. The connectionist program NETtalk, far from exemplifying the model as Churchland claims, suggests a theoretical (...) rationale for employing relations to intentional contents in psychology. (shrink)

I show that the recursive structure of Leibniz's Law requires agents to perform infinitely many operations to psychologically identify the referents of phenomenal and physical concepts, even though the referents of ordinary concepts (e.g. Hesperus and Phosphorus) can be identified in a finite number of steps. The resulting problem resembles the hard problem of consciousness in the fact that it appears (and indeed is) unsolvable by anyone for whom it arises, and in the fact that it invites dualist and eliminativist (...) responses. Moreover, if this is the hard problem then we can predict that regardless of the strength of the argument for physicalism, and regardless of physicalism's truth, an ineliminable dissatisfaction is bound to accompany any physicalist theory of consciousness. Accordingly, I suggest that this is the hard problem of consciousness, and therefore that the hard problem arises from a recursively degenerate application of Leibniz's Law. (shrink)