Durant les confinements de mars et novembre 2020 liés à la covid-19, les familles ont vécu dans un quasi huis clos, suscitant une double interrogation : comment les liens intrafamiliaux ont-ils été impactés? Selon quelles modalités les fonctions supports de l’enveloppe psychique familiale ont-elles pu rester opérantes dans ce contexte de proximité familiale inédite? L’article, sur la base d’entretiens de recherche individuels auprès de chaque membre d’une même famille et d’un entretien avec la famille au complet, complété par (...) la réalisation de l’épreuve de spatiographie projective familiale, décrit comment, dans un tel contexte, se jouait la permanence de la fonction contenante de l’enveloppe psychique familiale. (shrink)

L’épreuve projective intitulée « spatiographie projective familiale » a pour objectif de comprendre l’image inconsciente du corps familial à travers l’analyse du dessin groupal de la « maison de rêve ». Par cette méthodologie, les auteurs peuvent établir un diagnostic de la structure des liens inconscients de la famille et en faire un objet médiateur pour la prise en charge psychothérapique et une épreuve projective groupale familiale pour le diagnostic. Le dessin de la « (...) maison de rêve » est un outil original qui investigue les dimensions diachronique et synchronique permettant une approche complète de la structuration de l’image du corps familial. (shrink)

Cet article se propose de montrer comment un crime de masse tel que le génocide entraîne des répercussions psychiques sur plusieurs générations, ce que l’on peut considérer comme une catastrophe de la filiation. Comment s’inscrire dans un lien de filiation pour écrire son propre roman des origines lorsque l’horreur vécue musèle à jamais la vie de la mémoire, de la parole et de la transmission? C’est à travers la médiation projective de la libre réalisation de l’arbre généalogique que l’article (...) tentera d’explorer ces questions par une étude de cas. Dans l’espace intermédiaire de la rencontre, tout en respectant les aménagements défensifs du sujet, le travail de perlaboration se rend possible. L’article montre comment la dimension médiatrice et projective du dispositif se met au service du travail d’historicisation et de remémoration de l’histoire familiale et collective chez un descendant d’un survivant de la Shoah. (shrink)

Consolider les ressources non monétaires de ménages menacés d'exclusion, cela peut stimuler les solidarités familiales, communautaires et locales ; cela peut même contribuer à la vitalité de la sphère publique. Au rebours des présupposés économicistes qui inspirent les politiques de lutte contre l'exclusion, l'évaluation d'action expérimentales de développement social par l'autoproduction montre qu'il peut y avoir complémentarité et non opposition entre ressources monétaires et ressources non-monétaires. L'exemple des chantiers d'autoréhabilitation du logement montre qu'à certaines conditions la consolidation de la sphère (...) privée ne favorise pas la ghettoïsation communautaire mais permet une initiation à la sphère publique.When households threatened by social exclusion are able to strengthen their non-monetary resources, by doing so they can promote solidarity on family, community and local levels. Such exchanges can even have positive repercussions for an increasingly vibrant public sphere. Contrary to certain economical models that inspire policies aimed at fighting social exclusion, the evaluation of experimental projects in social action through self-help shows that monetary and non-monetary resources can co-exist in complementary fashion. An example of home improvement programmes underlines that under certain conditions promoting initiatives in the private sphere does not necessarily lead to the creation of ghettos and can in fact lead to the development of public funded initiatives. (shrink)

L’article s’intéresse aux hommes et aux femmes passés dans l’histoire à l’ombre de la figure « hermaphrodite ». Pour ce faire, il s’intéresse à eux dans le cadre familial, en cessant de les réduire à leurs particularités corporelles et génitales pour les replacer dans une perspective sociale. L’état hermaphrodite permet en effet d’interroger doublement la famille : d’une part parce qu’il brouille le jeu des projections identitaires habituellement à l’œuvre entre parents et enfants et entre membres de la fratrie, de (...) l’autre parce qu’il pose le problème majeur de l’infécondité et du mariage aussi bien pour celui ou celle qui en est victime que pour la cellule familiale dans son ensemble. L’extrême diversité des relations et des affects intrafamiliaux rencontrés rappelle que si l’hermaphrodisme a été puissamment structuré au xixe siècle en catégorie médicale, il ne peut être opérant en catégorie sociale. (shrink)

Selon différentes conceptions du genre et des parcours de transition, toujours singulières mais empreintes d’attentes sociales, l’enveloppe corporelle du sujet transgenre se métamorphose. Lors d’entretiens de recherche et d’épreuves projectives (Rorschach et tat ), deux jeunes adultes transgenres aux profils psychopathologiques névrotiques présentaient une sensibilité marquée aux normes, à la morale et aux attentes sociétales. La légitimité, la culpabilité et la honte étaient des problématiques redondantes. Différents temps de transitions subjectives, familiales, sociales et corporelles se sont trouvés en jeu : (...) le passage à l’âge adulte, une vie étudiante hors du giron familial. Ces deux situations illustrent une discussion sur les transitions du corps et des enveloppes chez des sujets transgenres, entre seconde peau et moi-peau corsets. (shrink)

Volume 8 of this landmark edition follows Peirce from May 1890 through July 1892—a period of turmoil as his career unraveled at the U.S. Coast and Geodetic Survey. The loss of his principal source of income meant the beginning of permanent penury and a lifelong struggle to find gainful employment. His key achievement during these years is his celebrated Monist metaphysical project, which consists of five classic articles on evolutionary cosmology. Also included are reviews and essays from The Nation in (...) which Peirce critiques Paul Carus, William James, Auguste Comte, Cesare Lombroso, and Karl Pearson, and takes part in a famous dispute between Francis E. Abbot and Josiah Royce. Peirce's short philosophical essays, studies in non-Euclidean geometry and number theory, and his only known experiment in prose fiction complete his production during these years. Peirce's 1883-1909 contributions to the Century Dictionary form the content of volume 7 which is forthcoming. (shrink)

The Bentham Project is delighted to announce a call for papers for “Bentham and Australia: Convicts, Utility, and Empire”, a conference to be held at University College London on 11-12 April 2019 to mark the forthcoming publication of Writings on Australia, a volume of The Collected Works of Jeremy Bentham. The conference will explore themes such as the influence and impact of Bentham’s ideas on the theory and practice of punishment in convict Australia, on advocates and opponents of co...

Praise for Volume 1: "... a first-rate edition, which supersedes all other portable Peirces.... all the Peirce most people will ever need." —Louis Menand, The New York Review of Books Volume 2 of this convenient two-volume chronological reader’s edition provides the first comprehensive anthology of the brilliant American thinker Charles Sanders Peirce’s mature philosophy. A central focus of Volume 2 is Peirce’s evolving theory of signs and its appplication to his pragmatism.

In this paper we examine the contributions of the Italian geometrical school to the Foundations of Projective Geometry. Starting from De Paolis' work we discuss some papers by Segre, Peano, Veronese, Fano and Pieri. In particular we try to show how a totally abstract and general point of view was clearly adopted by the Italian scholars many years before the publication of Hilbert's Grundlagen.We are particularly interested in the interrelations between the Italian and the German schools (mainly the influence (...) of Staudt's and Klein's works). We try also to understand the reason of the steady decline of the Italian school during the twentieth century. (shrink)

We prove a number of results on the determinacy of σ-projective sets of reals, i.e., those belonging to the smallest pointclass containing the open sets and closed under complements, countable unions, and projections. We first prove the equivalence between σ-projective determinacy and the determinacy of certain classes of games of variable length <ω^2 (Theorem 2.4). We then give an elementary proof of the determinacy of σ-projective sets from optimal large-cardinal hypotheses (Theorem 4.4). Finally, we show how to (...) generalize the proof to obtain proofs of the determinacy of σ-projective games of a given countable length and of games with payoff in the smallest σ-algebra containing the projective sets, from corresponding assumptions (Theorem 5.1, Theorem 5.4). (shrink)

Naive observers viewed a sequence of colored Mondrian patterns, simulated on a color monitor. Each pattern was presented twice in succession, first under one daylight illuminant with a correlated color temperature of either 16,000 or 4,000 K and then under the other, to test for color constancy. The observers compared the central square of the pattern across illuminants, either rating it for sameness of material appearance or sameness of hue and saturation or judging an objective property—that is, whether its change (...) of color originated from a change in material or only from a change in illumination. Average color constancy indices were high for material appearance ratings and binary judgments of origin and low for hue–saturation ratings. Individuals’ performance varied, but judgments of material and of hue and saturation remained demarcated. Observers seem able to separate phenomenal percepts from their ontological projections of mental appearance onto physical phenomena; thus, even when a chromatic change alters perceived hue and saturation, observers can reliably infer the cause, the constancy of the underlying surface spectral reflectance. (shrink)

Explications of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in 'The Fold: Leibniz and the Baroque' focus predominantly on the role of the infinitesimal calculus developed by Leibniz.1 While not underestimat- ing the importance of the infinitesimal calculus and the law of continuity as reflected in the calculus of infinite series to any understanding of Leibniz’s metaphysics and to Deleuze’s reconstruction of it in The Fold, what I propose to examine in this paper is the role played by other (...) developments in mathematics that Deleuze draws upon, including those made by a number of Leibniz’s near contemporaries – the projective geometry that has its roots in the work of Desargues (1591–1661) and the ‘proto-topology’ that appears in the work of Du ̈rer (1471–1528) – and a number of the subsequent developments in these fields of mathematics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. What is provided in this paper is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold. (shrink)

I argue that our experience of expressive properties (such as the joyfulness or sadness of a piece of music) essentially involves the sensuous imagination (through simulation) of an emotion-guided process which would result in the production of the properties which constitute the realisation of the expressive properties experienced. I compare this proposal with arousal theories, Wollheim’s Freudian account, and other more closely related theories appealing to imagination such as Kendall Walton’s. I explain why the proposal is most naturally developed in (...) terms of simulation and briefly comment upon the impact of work on cross-cultural perception of facial expression, modularity and autism for the proposal. (shrink)

Using countable support iterations of S-proper posets, we show that the existence of a definable wellorder of the reals is consistent with each of the following: , and.

In the middle part of his Brouillon Project on conics, Girard Desargues develops the theory of the traversale, a notion that generalizes the Apollonian diameter and allows to give a unified treatment of the three kinds of conics. We showed elsewhere that it leads Desargues to a complete theory of projective polarity for conics. The present article, which shall close our study of the Brouillon Project, is devoted to the last part of the text, in which Desargues puts his (...) theory of the traversal into practice by giving a very elegant tratment of the classical theory of parameters and foci. This will lead us to show that Desargues’ proofs can only be understood if one accepts that he reasons in a resolutely projective framework, completely assimilating elements at infinity to those at finite distance in his proofs. (shrink)

The fact that the space of states of a quantum mechanical system is a projective space (as opposed to a linear manifold) has many consequences. We develop some of these here. First, the space is nearly contractible, namely all the finite homotopy groups (except the second) vanish (i.e., it is the Eilenberg-MacLane space K(ℤ, 2)). Moreover, there is strictly speaking no “superposition principle” in quantum mechanics as one cannot “add” rays; instead, there is adecomposition principle by which a given (...) ray has well-defined projections in other rays. When the evolution of a system is cyclic, any representativevector traces out an open curve, defining an element of the holonomy group, which is essentially the (geometrical) Berry phase. Finally, for the massless case of the representations of the Poincaré group (the so-called “Wigner program”), there could be in principle arbitrarily multivalued representations coming from the Lie algebra of the Euclidean plane group. In fact they are at most bivalued (as commonly admitted). (shrink)

지식귀속에 대한 최근의 대표적인 세 이론들은 주체 민감적 불변주의, 맥락주의 그리고 상대주의라고 볼 수 있다. 필자는 이들 이론들이 각각의 한계점들을 가지고 있으며, 인식적 양상에 대한 필자의 관점 투영적 상대주의 이론(최동호, 2014)이 지식귀속에도 확장되어 적용가능하다고 생각한다. 그리고 필자는 여기에서 멈추지 않고, (과거의 필자를 포함한) 기존의 이론들은, 지식귀속의 고유성을 포착하기 위해, 더 많은 새로운 요소들의 도입을 검토해야 한다고 논증할 것이다.

Let D be a strongly minimal set in the language L, and $D' \supset D$ an elementary extension with infinite dimension over D. Add to L a unary predicate symbol D and let T' be the theory of the structure (D', D), where D interprets the predicate D. It is known that T' is ω-stable. We prove Theorem A. If D is not locally modular, then T' has Morley rank ω. We say that a strongly minimal set D is pseudoprojective (...) if it is nontrivial and there is a $k < \omega$ such that, for all a, b ∈ D and closed $X \subset D, a \in \mathrm{cl}(Xb) \Rightarrow$ there is a $Y \subset X$ with a ∈ cl(Yb) and |Y| ≤ k. Using Theorem A, we prove Theorem B. If a strongly minimal set D is pseudoprojective, then D is locally projective. The following result of Hrushovski's (proved in $\S4$ ) plays a part in the proof of Theorem B. Theorem C. Suppose that D is strongly minimal, and there is some proper elementary extension D1 of D such that the theory of the pair (D1, D) is ω1-categorical. Then D is locally modular. (shrink)

We show that Σ1 4-Amoeba-absoluteness implies that $\forall a \in \mathbb{R}(\omega^{L\lbrack a \rbrack}_1 < \omega^V_1)$ and, hence, Σ1 3-measurability. This answers a question of Haim Judah (private communication).

This paper addresses an article by Felix Klein of 1886, in which he generalized his theory of polynomial equations of degree 5—comprehensively discussed in his Lectures on the Icosahedron two years earlier—to equations of degree 6 and 7. To do so, Klein used results previously established in line geometry. I review Klein’s 1886 article, its diverse mathematical background, and its place within the broader history of mathematics. I argue that the program advanced by this article, although historically overlooked due to (...) its eventual failure, offers a valuable insight into a time of crucial evolution of the subject. (shrink)

While there is an extensive subfield in sociology studying the sources, content, and consequences of collective memory, the study of future projections has been much more fragmentary. In part, this has to do with the challenge of measurement; how do you measure something that has not happened yet? In this article, I argue that future projections can be studied via their externalizations in attitudes, narratives, performance, and material forms. They are particularly evident in what I call “sites of hyperprojectivity,” that (...) is, sites of heightened, future-oriented public debate about possible futures. As a pilot project, I examine contending narratives about possible futures in the online documents of the United Nations Conference on Sustainable Development and the accompanying “People’s Summit,” held in Rio de Janeiro in June 2012. I propose a framework for studying how public interventions into debates about “sustainable futures” and the “green economy” differ on various dimensions of projectivity, including their temporal reach, attention to contingency and causality, and network mapping of future actors. I present a preliminary analysis at the level of narrative and grammar, by analyzing the use of predictive, imperative, and subjunctive verb forms in both programmatic and oppositional texts. I close with a discussion of how different genres of future projection might be put to analytical use in studying processes of interest to social scientists, such as coalition formation, institution building, political mobilization, and policy change. (shrink)

In recent years, several scholars have been investigating Frege’s mathematical background, especially in geometry, in order to put his general views on mathematics and logic into proper perspective. In this article I want to continue this line of research and study Frege’s views on geometry in their own right by focussing on his views on a field which occupied center stage in nineteenth century geometry, namely, projective geometry.

Journal of Mathematical Logic, Ahead of Print. We identify a particular mouse, [math], the minimal ladder mouse, that sits in the mouse order just past [math] for all [math], and we show that [math], the set of reals that are [math] in a countable ordinal. Thus [math] is a mouse set. This is analogous to the fact that [math] where [math] is the sharp for the minimal inner model with a Woodin cardinal, and [math] is the set of reals that (...) are [math] in a countable ordinal. More generally [math]. The mouse [math] and the set [math] compose the next natural pair to consider in this series of results. Thus we are proving the mouse set theorem just past projective. Some of this is not new. [math] was known in the 1990s. But [math] was open until Woodin found a proof in 2018. The main goal of this paper is to give Woodin’s proof. (shrink)

After presenting the foundation and the basic equations of a new 5-dimensional projective unified field theory, the problem of incorporating spinor fields into this framework is investigated. Apart from Pauli's method, we propose a new approach which leads to a consistent 5-dimensional spinor theory with a series of physical consequences (variability of the 4-dimensional “rest mass,” instability of 4-dimensional “stationary states,” etc.).

If the bounded proper forcing axiom BPFA holds and ω 1 = ${\mathrm{\omega }}_{1}^{\mathrm{L}}$ , then there is a lightface ${\mathrm{\Sigma }}_{3}^{1}$ well-ordering of the reals. The argument combines a well-ordering due to Caicedo-Veličković with an absoluteness result for models of MA in the spirit of "David's trick." We also present a general coding scheme that allows us to show that BPFA is equiconsistent with R being lightface ${\mathrm{\Sigma }}_{4}^{1}$ , for many "consistently locally certified" relations R on $\mathrm{\mathbb{R}}$ . (...) This is accomplished through a use of David's trick and a coding through the ∑ 2 stable ordinals of L. (shrink)

In this paper we show that some orthogeometries, i.e. projective geometries each defined using a ternary collinearity relation and equipped with a binary orthogonality relation, which are extensively studied in mathematics and quantum theory, correspond to Kripke frames, each defined using a binary relation, satisfying a few conditions. To be precise, we will define four special kinds of Kripke frames, namely, geometric frames, irreducible geometric frames, complete geometric frames and quantum Kripke frames; and we will show that they correspond (...) to pure orthogeometries, irreducible pure orthogeometries, Hilbertian geometries and irreducible Hilbertian geometries, respectively. The discovery of these correspondences raises interesting research topics and will enrich the study of logic. (shrink)

This paper is a discussion of Michael Thau's interesting critique in Chapter 2 of Consciousness and Cognition, Oxford: Oxford University Press, 2002, of the common view that beliefs are internal states.

The axioms of projective and affine plane geometry are turned into rules of proof by which formal derivations are constructed. The rules act only on atomic formulas. It is shown that proof search for the derivability of atomic cases from atomic assumptions by these rules terminates . This decision method is based on the central result of the combinatorial analysis of derivations by the geometric rules: The geometric objects that occur in derivations by the rules can be restricted to (...) those known from the assumptions and cases. This “subterm property” is proved by permuting suitably the order of application of the geometric rules. As an example of the decision method, it is shown that there cannot exist a derivation of Euclid’s fifth postulate if the rule that corresponds to the uniqueness of the parallel line construction is taken away from the system of plane affine geometry. (shrink)