Penalty functions over a cartesian product of lattices

In this work we present the concept of penalty function over a Cartesian product of lattices. To build these mappings, we make use of restricted dissimilarity functions and distances between fuzzy sets. We also present an algorithm that extends the weighted voting method for a fuzzy preference relation.

Killing the father, Parmenides: on Lacan’s anti-philosophy

This paper examines the historical claims about philosophy, dating back to Parmenides, that we argue underlie Jacques Lacan’s polemical provocations in the mid-1970s that his position was an “anti-philosophie”. Following an introduction surveying the existing literature on the subject, in part ii, we systematically present the account of classical philosophy Lacan has in mind when he declares psychoanalysis to be an antiphilosophy after 1975, assembling his claims about the history of ideas in Seminars XVII and XX in ways earlier contributions of this subject have not systematically done. In part iii, focusing upon Lacan’s remarkable reading of Descartes’ break with premodern philosophy—but touching on Lacan’s readings of Hegel and (in a remarkable confirmation of Lacan’s “Parmenidean” conception of philosophy) the early Wittgenstein—we examine Lacan’s positioning of psychoanalysis as a legatee of the Cartesian moment in the history of western ideas, nearly-contemporary with Galileo’s mathematization of physics and carried forwards by Kant’s critical philosophy and account of the substanceless subject of apperception. In different terms than Slavoj Žižek, we propose that it is Lacan’s famous avowal that the subject of the psychoanalysis is the subject first essayed by Descartes in The Meditations on First Philosophy as confronting an other capable of deceit (as against mere illusion or falsity) that decisively measures the distance between Lacan’s unique “antiphilosophy” and the forms of later modern linguistic and cultural relativism whose hegemony Alain Badiou has decried, at the same time as it sets Lacan’s antiphilosophy apart from the Parmenidean legacy for which thinking and being could be the same.

Schwinger and Pegg-Barnett approaches and a relationship between angular and Cartesian quantum descriptions: II. Phase spaces

Following the discussion-in state-space language-presented in a preceding paper, we work on the passage from the phase-space description of a degree of freedom described by a finite number of states (without classical counterpart) to one described by an infinite (and continuously labelled) number of states. With this it is possible to relate an original Schwinger idea to the Pegg-Barnett approach to the phase problem. In phase-space language, this discussion shows that one can obtain the Weyl-Wigner formalism, for both Cartesian and angular coordinates, as limiting elements of the discrete phase-space formalism.

The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges

In this paper, using the apparatus of the Clifford bundle formalism, we show how straightforwardly solve in Minkowski space-time the Dirac-Hestenes equation - which is an appropriate representative in the Clifford bundle of differential forms of the usual Dirac equation - by separation of variables for the case of a potential having spherical symmetry in the Cartesian and spherical gauges. We show that, contrary to what is expected at a first sight, the solution of the Dirac-Hestenes equation in both gauges has exactly the same mathematical difficulty. © World Scientific Publishing Company.

O legado de Descartes

The criticism of Cartesian philosophy is correlated on four pillars: the fragmentation of knowledge, the separation between mind and body, the impossibility of the reductionist method for explanation of natural phenomena, and in the superiority of the reason as the only valid form of knowledge. These last two pillars, as many environmentalists claim, contributed decisively to the devaluation of the res extensa over the res cogitans. To check this we used as a theoretical framework the following texts: Discourse on Method, Rules for Conduct of the Spirit and Metaphysical Meditations. By reading these works it was found that the first two pillars (the fragmentation of knowledge and the separation between mind and body) there are no theoretical basis in texts. The failure of the reductionist method to explain the ecological and atomic phenomena and the overcoming of reason as the only valid form of knowledge are supported in their philosophy.

Is global workspace a cartesian theater? How the neuro-astroglial interaction model solves conceptual issues

The Global Workspace Theory (GWT) proposed by Bernard Baars (1988) along with Daniel Dennett’s (1991) Multiple Drafts Model (MDM) of consciousness are renowned cognitive theories of consciousness bearing similarities and differences. Although Dennett displays sympathy for GWT, his own MDM does not seem to be fully compatible with it. This work discusses this compatibility, by asking if GWT suffers from Daniel Dennett’s criticism of what he calls a “Cartesian Theater”. We identified in Dennett 10 requirements for avoiding the Cartesian Theater. We believe that some of these requirements are violated by GWT, but not all, hence there is partial incompatibility with MDM, and it is nonsense to answer if GWT is or is not a Cartesian Theater. However, by asking such question we conclude that the issues around this discussion involve fuzzy claims about degrees of consciousness and we show how the Neuro-Astroglial Interaction Model (NAIM) is fit for solving such conceptual issues.

Alternative Formulations for Angular Momentum Operators, Cartesian and Spherical Polar Forms

The conversion between representations of angular momentum in spherical polar and cartesian form is discussed.

Plain catechetical instruction for young communicants, designed to assist them in forming Scriptural views of the Lord's Supper. With an address to young persons not yet communicants, and a few meditations and helps for self-examination.

Mode of access: Internet.