The conceptual question among sovereignty, biopolitics and law: a sensible point between Foucault and Agamben

The concept of biopolitics has its origin on the Michel Foucault works developped since 1975 to 1979. In this period, the author introduced the foundations for a new approach about the modern government, based in both crescent enpowerment on individuals and the control of populations. The theme has attracted the attentions of some critical political studies, with many practical uses. However, I believe there is not enough consolidation about biopolitics as a concept and a comprehensive theory of the new political mechanisms. This uncertainness is more evident when the very role of Law is questioned in a biopolitical model, due to the archaic nature that Foucault gives to it. So the aim of the paper is to identify the theorical comprehension of biopolitics in a contemporary author as Giorgio Agamben to demonstrate his oppositions and proximities from the original idea of Michel Foucault. I propose that Agamben has the same difficulties of Foucault to deal with legal theory and Law inside biopolitics. Nevertheless, after a critical review on the works of this two authors, my conclusion is that a settlement of the concepts of Law and biopolitics depends of the surpassing of the Foucaldian version of Law as sovereignity, a clear delimitation of a common core between the authors and their differences and the research and affirmation of the concept of Law in Agamben, more well-refined than Foucault's one

Polynomial Bell inequalities

It is a recent realization that many of the concepts and tools of causal discovery in machine learning are highly relevant to problems in quantum information, in particular quantum nonlocality. The crucial ingredient in the connection between both fields is the tool of Bayesian networks, a graphical model used to reason about probabilistic causation. Indeed, Bell's theorem concerns a particular kind of a Bayesian network and Bell inequalities are a special case of linear constraints following from such models. It is thus natural to look for generalized Bell scenarios involving more complex Bayesian networks. The problem, however, relies on the fact that such generalized scenarios are characterized by polynomial Bell inequalities and no current method is available to derive them beyond very simple cases. In this work, we make a significant step in that direction, providing a general and practical method for the derivation of polynomial Bell inequalities in a wide class of scenarios, applying it to a few cases of interest. We also show how our construction naturally gives rise to a notion of non-signalling in generalized networks.Comment: 9 pages (including appendix