Kripke-style models with two accessibility relations, one intuitionistic and the other modal, are given for analogues of the modal systemK based on Heyting's prepositional logic. It is shown that these two relations can combine with each other in various ways. Soundness and completeness are proved for systems with only the necessity operator, or only the possibility operator, or both. Embeddings in modal systems with several modal operators, based on classical propositional logic, are also considered. This paper lays the ground for (...) an investigation of intuitionistic analogues of systems stronger thanK. A brief survey is given of the existing literature on intuitionistic modal logic. (shrink)

A new probability interpretation of interference phenomena in the double-slit experiment is proposed. It differs from the standard interpretation (based on elementary events happening in complementary, mutually exclusive setups—arrivals of waves to the screen when one of the slits is closed) which encounters the “paradox” that the law of total probability is violated. This new interpretation is free of such difficulties and paradoxes since it is based on compatible elementary events (events happening in the same setup in which happenall events (...) considered—arrivals of quantons to the screen when both slits are open). Quantum objects—quantons—possess simultaneously particle and wave properties. Compatible statistical interpretation synthesizes in a consistent way the superposition principle for waves and the law of total probability applied to compatible events. Such synthesis is a theoretical expression of de Broglie's observation, now fully confirmed by experiments, that the interference fringes obtained on a photographic plate result from an infinite number of tiny local spots which display arrival of quantons, while the set of fringes is a statistical effect of the wave aspect. (shrink)

We investigate intuitionistic propositional modal logics in which a modal operator is equivalent to intuitionistic double negation. Whereas ¬¬ is divisible into two negations, is a single indivisible operator. We shall first consider an axiomatization of the Heyting propositional calculus H, with the connectives →,∧,∨ and ¬, extended with . This system will be called Hdn . Next, we shall consider an axiomatization of the fragment of H without ¬ extended with . This system will be called Hdn + . (...) We shall show that these systems are sound and complete with respect to specific classes of Kripke-style models with two accessibility relations, one intuitionistic and the other modal. This type of models is investigated in [2] and [3], and here we try to apply the techniques of these papers to an intuitionistic modal operator with a natural interpretation. The full results of our investigation will be published in [4] and [1]. (shrink)

We use joint probabilities to analyze the EPR argument in the Bohm's example of spins.(1) The properties of distribution functions for two, three, or more noncommuting spin components are explicitly studied and their limitations are pointed out. Within the statistical ensemble interpretation of quantum theory (where only statements about repeated events can be made), the incompleteness of quantum theory does not follow, as the consistent use of joint probabilities shows. This does not exclude a completion of quantum mechanics, going beyond (...) it, by a more general theory of single events, using hidden variables, for example. (shrink)

The study of the motion of the magnetic top—a classical spherical top which carries magnetic moment proportional to its angular momentum, is motivated and inspired by the quantum mechanical relation between spin angular momentum and spin magnetic moment. Inversely, the magnetic top, taken to be the classical model of quantum spin, implies the description of spin states by probability amplitudes of the top orientation angles, instead of by Pauli spinors. This opens new possibilities for the interpretation of many interesting spin (...) experiments which serve as tests of basic principles of quantum mechanics and of the postulates of the quantum theory of measurement. (shrink)

A compatible statistical interpretation of a wave packet is proposed. De Broglian probabilities which unite wave and particle features of quantons are evaluated for free wave packets and Jor a superposition of wave packets. The obtained expressions provide a very plausible and physically appealing explanation of coherence in apparently incoherent beams and of the characteristic modulation of the momentum distribution, found recently in neutron interferometry combined with spectral filtering. Certain conclusions about dualism and objectivity in quantum domain are also derived.

This article explores ‘the politics of sentimentality’ with specific reference to the documentary film Sick, which represents the narrative of a young lesbian woman, Ana, who was confined in a psychiatric hospital in Croatia and ‘treated’ for her homosexuality. We consider the ways our most intimate emotional relationships and states, such as pain and suffering, articulate with a wider context of familial citizenship and critically examine the political limits of compassion within the sentimentalised public sphere. In this analysis, we problematise (...) the film’s emotional logic, which presents an individualised narrative resolution at the expense of dwelling on the political question of institutional violence. We examine the role that politics of sentimentality plays in neutralising the film’s political critique of the state apparatuses that enforce heterosexual norms. (shrink)

The new techniques and ideas in quantum interferometry with neutrons, photons, atoms, electrons, and Bose condensates that fluorished in the last two decades have influenced in a decisive way the thinking and the research in the foundations and interpretation of quantum mechanics. The controversies existing among different schools on the reality of matter waves of quantum theory, the postulates of quantum measurement theory, and the (in)completeness of quantum mechanics have to be approached now in a new way. Our argumentation follows (...) the spirit of the Paris school. (shrink)

The paper discusses voice as a medium of human communication through the indirect approach of listening. After designating the multifaceted nature of the voice, the author dedicates attention to Bernhard Waldenfels? theory of the voice as developed on the basis of the phenomenology of the alien. According to Waldenfels, the polyphony of the vocal, in which the own and the alien re-sound in mutual permeation, calls for the possibility of responsive listening. In the concluding portion of the article, the author (...) takes into consideration one of the poems from the cycle?Stimmen? that Paul Celan published in the collection Sprachgitter. With regard also to Celan?s auto-poetological writings, the ensuing interpretation attempts to briefly sketch the contours of the anti-politics of voice. nema. (shrink)

This article offers a conceptual analysis of the implications of the sociology of emotions for the restoration of social order in failing states. The authors mainly draw on ritual theories of emotions, but also use insights from dramaturgical, power and status, and exchange theories. It is argued that social order emerges from interactions among human individuals developing and internalizing emotional beliefs about their place within a wider social environment in the form of a social contract. Examples from states such as (...) Afghanistan and Somalia illustrate the authors’ thesis that macro-level restoration of order is possible through change agents’ efforts at restoration of emotion-generating interaction ritual chains. (shrink)

Using the time-dependent wave function we have studied the properties of the atomic transverse motion in an interferometer, and the cause of the non-classical behavior of atoms reported by Kurtsiefer, Pfau, and Mlynek [Nature 386, 150 (1997)]. The transverse wave function is derived from the solution of the two-dimensional Schrödinger's equation, written in the form of the Fresnel–Kirchhoff diffraction integral. It is assumed that the longitudinal motion is classical. Comparing data of the space distribution and of the transverse momentum distribution (...) in interferometers with one and two open slits, it follows that the atomic motion is influenced by the atomic matter wave and violates the laws of classical mechanics. However, the negative values of Wigner's function should not be taken as evidence that the atoms in an interferometer violate the classical statistical law of the addition of positive probabilities. This inference follows from the comparison of properties of Wigner's function and of the de Broglian probability density in phase space. (shrink)

_Minima Memoria_ attests to the impact of the works of Jean-François Lyotard, one of the most influential French philosophers of the twentieth century, and the continuing effects of these works across a wide array of fields: philosophy, literature, political theory, gender theory, aesthetics, and psychoanalysis. Particular attention is paid to Lyotard's repeated warnings regarding the way in which the complexity of events can be occluded in the very attempt to represent them. Indeed, through the contributors' careful and critical analysis, Lyotard's (...) complex intellectual trajectory—all the way up to the posthumously published works _The Confession of Augustine_ and _The Misery of Philosophy_—is traced in different and often conflicting manners, which bring out the different currents that traverse his writings and the sites of tension that such terms as "different," "affect," and "infancy" mark. What emerges is not a grand narrative that would organize Lyotard's life and work around one unifying idea, but multifaceted approaches that extend in new and unforeseen directions. (shrink)

We revisit via a path-integral approach the magnetic top proposed recently by Barut, Božić, and Marić. We point out that the magnetic top has the SU(2) symmetry and that it can be viewed as a free top seen from a rotating frame. We present an alternative path-integral quantization of the magnetic top on the basis of the symmetry, and show that the magnetic coupling does not participate in altering the spin quantum numbers.