Let ξ ≥ 1 be a countable ordinal. We study the Borel subsets of the plane that can be made [Formula: see text] by refining the Polish topology on the real line. These sets are called potentially [Formula: see text]. We give a Hurewicz-like test to recognize potentially [Formula: see text] sets.

We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among others, this gives some true co-analytic sets. The case where the dictionary is finite is studied and gives a natural example of a set at level ω of the Wadge hierarchy.

We show that there is an antichain basis for neither the class of non-potentially closed Borel subsets of the plane under Borel rectangular reducibility nor the class of analytic graphs of uncountable Borel chromatic number under Borel reducibility.

We prove that, for each countable ordinal ξ≥1, there exist some -complete ω-powers, and some -complete ω-powers, extending previous works on the topological complexity of ω-powers [O. Finkel, Topological properties of omega context free languages, Theoretical Computer Science 262 669–697; O. Finkel, Borel hierarchy and omega context free languages, Theoretical Computer Science 290 1385–1405; O. Finkel, An omega-power of a finitary language which is a borel set of infinite rank, Fundamenta informaticae 62 333–342; D. Lecomte, Sur les ensembles de (...) phrases infinies constructibles a partir d’un dictionnaire sur un alphabet fini, Séminaire d’Initiation a l’Analyse, 1, année 2001–2002; D. Lecomte, Omega-powers and descriptive set theory, Journal of Symbolic Logic 70 1210–1232; J. Duparc, O. Finkel, An ω-Power of a Context-Free Language Which Is Borel Above , in: S. Bold, B. Löwe, T. Räsch, J. van Benthem , in the Proceedings of the international conference foundations of the formal sciences V : Infinite Games, November 26th to 29th, 2004, Bonn, Germany, in: Studies in Logic, vol. 11, College Publications at King’s College, 2007, pp. 109–122]. We prove effective versions of these results; in particular, for each recursive ordinal there exist some recursive sets A2<ω such that , where and denote classes of the hyperarithmetical hierarchy. To do this, we prove effective versions of a result by Kuratowski, describing a set as the range of a closed subset of the Baire space ωω by a continuous bijection. This leads us to prove closure properties for the pointclasses in arbitrary recursively presented Polish spaces. We apply our existence results to get better computations of the topological complexity of some sets of dictionaries considered in [D. Lecomte, Omega-powers and descriptive set theory, Journal of Symbolic Logic 70 1210–1232]. (shrink)

We prove that, for any natural number \, we can find a finite alphabet \ and a finitary language L over \ accepted by a one-counter automaton, such that the \-power $$\begin{aligned} L^\infty :=\{ w_0w_1\ldots \in \Sigma ^\omega \mid \forall i\in \omega ~~w_i\in L\} \end{aligned}$$is \-complete. We prove a similar result for the class \.

We prove that, for any natural number n≥1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n\ge 1$$\end{document}, we can find a finite alphabet Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Sigma $$\end{document} and a finitary language L over Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Sigma $$\end{document} accepted by a one-counter automaton, such that the ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega $$\end{document}-power L∞:={w0w1…∈Σω∣∀i∈ωwi∈L}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} (...) L^\infty :=\{ w_0w_1\ldots \in \Sigma ^\omega \mid \forall i\in \omega ~~w_i\in L\} \end{aligned}$$\end{document}is Πn0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{\Pi }}^0_n$$\end{document}-complete. We prove a similar result for the class Σn0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{\Sigma }}^0_n$$\end{document}. (shrink)

In this paper, we build upon Bruno Latour’s political writings to address the current impasse regarding algorithms in public life. We assert that the increasing difficulties at governing algorithms—be they qualified as “machine learning,” “big data,” or “artificial intelligence”—can be related to their current ontological thinness: deriving from constricted views on theoretical practices, algorithms’ standard definition as problem-solving computerized methods provides poor grips for affective dissensions. We then emphasize on the role historical and ethnographic studies of algorithms can potentially play (...) in the politicization of algorithms. By both digging into the genealogy of algorithms’ constricted definition and by making their contemporary constitutive relationships more visible, both historical and ethnographic studies can contribute to vascularizing algorithms and making them objects of enlarged disputes. We conclude by giving a flavor of the political potential of the vascularization efforts we call for, using materials from an ethnographic study conducted in a computer science laboratory. (shrink)

There is no direct, constant relationship between the anthropological and cultural aspects of modernity. Anthropologically modern peoples display a certain heterogeneity that is not unconnected with earlier peoples, and the culture produced by modern humans, which is also heterogeneous, is differentiated diachronically and according to territory. Though paleogenetic research seems to point us to a single, African source for modern peoples, who had replaced the pre-sapiens populations in Eurasia, this view is not completely proven or accepted. On the other hand, (...) paleo-genetic research has contributed to our relinquishing the hypothesis of a multiregional ‘total continuity’ of local pre-modern populations in the Old World. Indeed the theory of a partial replacement, by a migration ‘out of Africa’, appears to be getting increasingly plausible. This article deals with the problems of the origins of modern man from the points of view of anthropological, paleogenetic, paleoenvironmental and cultural approaches. (shrink)

Around 1716, the French astronomer and academician Joseph-Nicolas Delisle took up a new project: the twinned topics of Chinese chronology and astronomy. Unable to access Chinese sources and not knowing any fellow savants who shared this particular interest, Delisle methodically made extracts and compiled data from the existing European literature. Among Delisle's papers at the Observatoire de Paris still exist the results of this research, including a list of the books he found relevant. This paper develops a close reading of (...) Delisle's notes from this period to stage his journey into a recondite arena of technical and textual analysis, and to examine the scholarly practices and generic conventions through which early modern European savants confronted the Chinese astronomical tradition. (shrink)

Cet ouvrage étudie la langue du vrai dans la première modernité. La vérité dépend-elle d'une belle énonciation? Y a-t-il des règles institutionnelles spécifiques d'énonciation de la vérité? Pourquoi la doctrina constitue-t-elle l'horizon de tout savoir et de tout enseignement prétendant à la vérité?

"Dans l'Espagne du XVe au XVIIe siècle, avec les grands voyages et les explorations de mondes inconnus, l'art de bâtir des palais ou des jardins, d'écrire un voyage expérimental ou une quête mystique, de peindre des paysages et des gloires célestes témoigne d'un renouvellement du regard - philosophique, alchimique, théologique, politique. Habiter le monde s'inscrit dans une perspective géométrique et mystique de l'infini et de l'éternité. Il y aurait peut-être là la marque d'une spécificité hispanique. L'ouvrage s'articule autour de quatre (...) parties consacrées aux palais, jardins et demeures spirituelles, aux merveilles de l'univers de Séville à Mexico, à la mystique des paysages et à la magie naturelle, à la représentation de l'infini" --. (shrink)

This study shows how three Chilean media construct in their discourse the social actor ‘secondary students’, in a multimodal way. It focuses on the representation of Televisión Nacional de Chile (also known as TVN), El Dínamo and El Ciudadano of this social group which is often suppressed suppressed from the media sphere. It is a qualitative study with a social semiotic approach, following the guidelines of Visual Grammar and the typology of representation of social actors by van Leeuwen (2003). The (...) corpus comprised 15 multimodal texts of 2018 compiled from internet sites, which constitute a semiotic chain of a news event about education. The results suggest that TVN creates the meaning of an ‘aggressor student’, El Dínamo as a ‘student to be reformed’; whereas El Ciudadano, represents him as a social actor who is an ‘active participant’. (shrink)

Les femmes ont des yeux, des cheveux, une peau, des idées, des jambes, un sexe, une date de naissance, des hommes dans la tête, un problème avec Isaac Newton, de petits poudriers qu'elles sortent de leur sac, et le pouvoir d'arrêter les voitures... Il fallait sans doute le regard d'un homme pour s'en rendre compte. Dominique Quessada est philosophe et écrivain. Il regarde ce qu'il y a pour lui de plus mystérieux et de plus proche à la fois : (...) les femmes. Ce livre s'adresse à elles, mais il peut aussi servir de guide à l'usage des aveugles, sourds et malentendants : les hommes. (shrink)

Biological attention to evolution and animal life has primarily emphasized a filiative approach that, although important, overlooks crucial dimensions highlighted by an ecological approach to animal human societies. Increased attention to singular animals and critical scrutiny of the operating definitions of society and culture indicates that vast dimensions of this area have been overlooked and remain to be studied. It is particularly important to pursue the aspects of signification, meaning, individuation, and subjectivity. Attention to animal human societies, or to animal (...) cultures that develop in the heart of human cultures, shows that humans and animals often form extimate relations based on particular aspects of animal subjectivity. With certain species we share a dense form of intertwining built on natural, cultural, and biographical histories. Beyond that, an argument on biosemiotic grounds maintains that culture is intrinsic to the living. (shrink)

Biological attention to evolution and animal life has primarily emphasized a filiative approach that, although important, overlooks crucial dimensions highlighted by an ecological approach to animal human societies. Increased attention to singular animals and critical scrutiny of the operating definitions of society and culture indicates that vast dimensions of this area have been overlooked and remain to be studied. It is particularly important to pursue the aspects of signification, meaning, individuation, and subjectivity. Attention to animal human societies, or to animal (...) cultures that develop in the heart of human cultures, shows that humans and animals often form extimate relations based on particular aspects of animal subjectivity. With certain species we share a dense form of intertwining built on natural, cultural, and biographical histories. Beyond that, an argument on biosemiotic grounds maintains that culture is intrinsic to the living. (shrink)

pt. 1. Gaston Bachelard's historical epistemology.--pt. 2. For a critique of epistemology.

Dominique Lecourt argues that a counter-revolution in French intellectual life has seen the period of the master thinkers of the 1960s succeeded by an era of ...

The military conquest of the Magarant, the Magar land, took place during the sixteenth and seventeenth centuries, when the Thakuri petty kings and their dependents (priests, artisans, soldiers) fled India to settle there. The Magar resistance appears to have been weak, due to their lack of unity and the alliances the conquerors formed with some of them. The Magar people quickly opted for assimilation into the royal caste of the Thakuri, adopting most of their cultural traits, notably their language and (...) religion. Nevertheless they retained or developed particularisms in their relationship to the earth, as we can see in the rites they devote to Bhume. We should emphasize first and foremost that the name Bhume is itself Nepalese, derived from the sanskrit bhû, bhûmî. This goddess is neglected by the Hindi of high caste, whereas she is central to the Magar. This paradox has two possible sources: the Magar might have identified one of their principal goddesses with a minor Hindu deity by virtue of a common relation to the earth, conferring an unusual importance on the latter. Or they might have constructed a divine being on the basis of Hindu concepts, as the result of a new-found need to defend their rights to the earth in the face of the Hindu invaders. The second hypothesis seems more likely, since there is no trace of a Magar earth goddess before Bhume. Even in the regions where the Magar retained the use of their original language (such as in Palpa, Syangja, or in the Kham country) and where, consequently, some of the gods have Magar names, the earth goddess is called by Nepalese terms, such as Bhume, Bhuyar, or Bhayar. Furthermore, even if the Magar themselves once had an earth goddess of their own, the renaming of this deity would indicate a change of identity, given the importance of a divinity's name. (shrink)