L’étude traite de différentes catégories de signatures (et/ou de noms d’auteurs) et de leur fonctionnement dans l’écriture de l’histoire. L’histoire est une écriture dialogique au sens où elle s’appuie sur les écrits d’autres spécialistes, mais aussi sur une matérialité documentaire signée par des acteurs de l’histoire. En se référant à la parole d’autrui, l’historien valide son propre travail. Le principal indice de ce dialogue est le nom propre d’auteur associé à un propos qui représente pour l’historien une référence. L’étude met (...) en évidence l’aptitude des noms d’auteur à recevoir une corporalité et/ou une voix. La thèse est la suivante: dès que le lecteur peut attribuer un corps et un certain renom à une signature, celle-ci peut être utilisée comme instrument de la preuve. Une attention particulière est portée aux signataires inconnus, aux noms des rédacteurs de «témoignages». Au centre de notre intérêt se trouvent les «ajouts» des historiens (titres, annotations, notes en bas de page, etc.) qui introduisent sur la scène académique les propos des «auteurs inconnus». Des ajouts accompagnant une carte postale, représentée dans l’ouvrage Lettres de Drancy, sont analysés de près. (shrink)

We survey the use of club guessing and other PCF constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal, element.

Dentre todas as possibilidades de ação feminista, há a militância em espaço público e a prática em apoio às mulheres, bem como a levada de consciência sobre pautas feministas para as mulheres, tanto no âmbito privado como no público. Esta era a abordagem de Andrea Dworkin, que proferia discursos em marchas e levava suas próprias experiências para o âmbito da escrita, sua prática profissional. A mesma abordagem era utilizada por Suzanne Lacy, artista contemporânea que, através de instalações urbanas, realizava suas (...) ações de militância combinada à arte. Este trabalho visa traçar parâmetros comuns entre estas duas mulheres, focando em suas pautas e na reverberação de seus trabalhos um em relação ao outro, bem como na sociedade.Palavras-chave: Público. Arte Contemporânea. Feminismo. AbstractAmongst all possibilities of feminist action there’s the militant strategy: to take the word of action into the public space, to act in women’s aid, to talk to your target audience and bring your discourse to the people. That was Andrea Dworkin’s strategy, who would bring her speeches into women’s marches and take her experience into her writing, which was her profession. The same strategy was taken by Suzanne Lacy, contemporary artist who focuses on urban installations to mix political and artistic action. This paper correlates these two authors, focusing on their preferred subjects and how their works reverberated together and in society.Keywords: Public. Contemporary Art. Feminism. (shrink)

This paper investigates a connection between the semantic notion provided by the ordering * among theories in model theory and the syntactic SOPn hierarchy of Shelah. It introduces two properties which are natural extensions of this hierarchy, called SOP2 and SOP1. It is shown here that SOP3 implies SOP2 implies SOP1. In Shelah's article 229) it was shown that SOP3 implies *-maximality and we prove here that *-maximality in a model of GCH implies a property called SOP2″. It has been (...) subsequently shown by Shelah and Usvyatsov that SOP2″ and SOP2 are equivalent, so obtaining an implication between *-maximality and SOP2. It is not known if SOP2 and SOP3 are equivalent. Together with the known results about the connection between the SOPn hierarchy and the existence of universal models in the absence of GCH, the paper provides a step toward the classification of unstable theories without the strict order property. (shrink)

Recognition is not only a response to social pathologies. It is also an unstable and often ambivalent relationship that has its own pathologies. Owing to the intertwining between recognition and power, certain forms of recognition turn out to be forms of alienation in or from the world. Such pathologies affect inter-individual recognition as well as the recognition between individuals and the socio-political institutions. The article proposes a joint reading of Hegel’s Phenomenology of Spirit and Philosophy of Right, which provide norms (...) for identifying and dealing with these pathologies. The norm for inter-individual recognition is set out in the Phenomenology of Spirit, the norm for state/citizen recognition in the Philosophy of Right. The analysis envisages two other aspects of recognition: the interference of the ‘I–Me’ with the ‘I–You’ relationship and the incorporation of the ‘I–We’ into the ‘We–Us' dimension of recognition. As regards the interpretation of Hegel’s practical philosophy, the article analyses the link between Hegel’s concept of recognition and his theory of action. In this view, the highest form of recognition has more to do with reconciliation – reconciliation between human beings, reconciliation with the ‘finitude of action’ – than with the problematic of individual and collective identity. (shrink)

If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which κ fails. This result continues the progression of the corresponding results for weakly compact cardinals, due to Woodin, and for indescribable cardinals, due to Hauser.

The paper is concerned with the existence of a universal graph at the successor of a strong limit singular μ of cofinality ℵ0. Starting from the assumption of the existence of a supercompact cardinal, a model is built in which for some such μ there are $\mu^{++}$ graphs on μ+ that taken jointly are universal for the graphs on μ+, while $2^{\mu^+} \gg \mu^{++}$ . The paper also addresses the general problem of obtaining a framework for consistency results at the (...) successor of a singular strong limit starting from the assumption that a supercompact cardinal κ exists. The result on the existence of universal graphs is obtained as a specific application of a more general method. (shrink)

Suppose that λ is the successor of a singular cardinal μ whose cofinality is an uncountable cardinal κ. We give a sufficient condition that the club filter of λ concentrating on the points of cofinality κ is not λ+-saturated.1 The condition is phrased in terms of a notion that we call weak reflection. We discuss various properties of weak reflection. We introduce a weak version of the ♣-principle, which we call ♣*−, and show that if it holds on a stationary (...) subset S of λ, then no normal filter on S is λ+-saturated. Under the above assumptions, ♣*− is true for any stationary subset S of λ which does not contain points of cofinality κ. For stationary sets S which concentrate on points of cofinality κ, we show that ♣*− holds modulo an ideal obtained through the weak reflection. (shrink)

This article aims to make two points. First, seeking and granting recognition is an ambivalent process that may lead to results completely the opposite from what was intended. Certain social pathologies, including reification, develop because of the way the desire for recognition is expressed and satisfied. Nevertheless, the concept of recognition remains central to critical theory. A normative concept of recognition is needed in order to identify these pathologies. Second, a critical theory of society that understands itself as praxis must (...) justify the possibility of its ‘reception’ by members of society. The theory’s addressees must ‘recognize themselves’ in the theory. They must recognize in it the conceptual expression of their own experience of society. Therefore, social theory must account for the emergence of a critical standpoint on society. These two main points are addressed by means of a ‘dialectical’ approach. The tensions and interactions between global society, states, and value-communities – the dialectic within and between these spheres – account for the diverse and conflicting meanings of the concept of recognition. At the same time, such a dialectic makes it possible to understand the emergence of a critical viewpoint on society. (shrink)

Dans Soi-même comme un autre, Paul Ricoeur propose une reconstitution réflexive du "soi" dans son rapport à autrui.

(No abstract is available for this citation).

Suppose that λ=λ <λ ≥ℵ0, and we are considering a theory T. We give a criterion on T which is sufficient for the consistent existence of λ++ universal models of T of size λ+ for models of T of size ≤λ+, and is meaningful when 2λ +>λ++. In fact, we work more generally with abstract elementary classes. The criterion for the consistent existence of universals applies to various well known theories, such as triangle-free graphs and simple theories. Having in mind (...) possible applications in analysis, we further observe that for such λ, for any fixed μ>λ+ regular with μ=μλ+, it is consistent that 2λ=μ and there is no normed vector space over ℚ of size <μ which is universal for normed vector spaces over ℚ of dimension λ+ under the notion of embedding h which specifies (a,b) such that ||h(x)/||x∈(a,b) for all x. (shrink)

We consider various versions of the ♣ principle. This principle is a known consequence of $\lozenge$ . It is well known that $\lozenge$ is not sensitive to minor changes in its definition, e.g., changing the guessing requirement form "guessing exactly" to "guessing modulo a finite set". We show however, that this is not true for ♣. We consider some other variants of ♣ as well.

Europe is in the midst of a double crisis: the rise of illiberal democracies and the reshaping of the so-called “world order.” Illiberal and autocratic regimes are on the rise and the “illiberal temptation” is present even in countries with strong democratic traditions, such as in Europe. The conflict between constitutional democracies and autocratic regimes is at the heart of the current struggle for a new international order. In this context, the confidence we have in our shared democratic and humanist (...) values is in crisis. Not only is there a debate about how these values should be interpreted—which is normal—it also seems that these values are no longer widely shared. Significant segments of the public no longer take democratic principles and the rule of law for granted. As a result, the use of violence is no longer taboo, not only in international relations but also within our own societies. This crisis is unfolding on a global scale, but it has implications for the European narrative, which is about both Europe’s post-nationalist, democratic identity, and Europe’s role in the world. In this article, I begin with some comments on this narrative, with an emphasis on the specificity of European cultural diversity. I then try to situate the role of intellectuals in this context. I examine (1) the task of interpreting the current historical situation, of raising collective awareness with regard to problems that require collective action (e.g. climate change, the reduction of gender and cultural discrimination, the prevention of armed conflicts, etc.); (2) the “universalization of tradition”, that is, the hermeneutic process by which a tradition (ethical, religious, political, etc.) reinterprets itself in such a way as to make it understandable and meaningful to other traditions; (3) the impact that the practice of dialogue, as understood in the human and social sciences, should have on actual political discussion; and (4) the role that the human and social sciences have in articulating, within a meaningful discourse, the demands for greater justice and for a meaningful existence that arise in the form of collective feelings, emotions, etc. (shrink)

This book, published in 2019 as an open-access edition of the Fordham University Press, attracts by its title. Imagination, as we mathematicians know only too w.

La reprise est un concept fondamental de la philosophie d’Eric Weil. Conjointement avec le couple attitude/catégorie de la Logique de la philosophie, il désigne l’acte même par lequel se constitue, pour Eric Weil, le discours philosophique. C’est aussi un concept opéra­toire par lequel il est possible d’appliquer les catégories philosophiques à l’analyse histo­rique des discours humains dans leur complexité. Il fait ainsi le lien entre logique et pratique de la philosophie, sous la forme d’une logique appliquée et d’une pratique du (...) dialogue philosophique. Cet article commence par situer la reprise par rapport aux concepts d’attitude et de catégorie. Puis, il envisage quelques uns des usages possibles du concept de reprise avant de conclure en esquissant, sans prétendre à l’exhaustivité, quelques unes des orientations possibles de la recherche sur ce concept. (shrink)

t. 1. Les professeurs de philosophie d'autrefois.- t. 2. Jules Lagneau.

s political theory apparently leads us to choose between patriotism and cosmopolitism. The two major works published in 1762, On the Social Contract and Emile , would represent the two sides of the alternative. However, the opposition between patriotism and cosmopolitism is the ultimate development of an internal tension between two aspects of Rousseau’s political concept of people: the intersubjectivity that permits the formation of the general will; and the individual’s devotion to the state. On the one hand, the political (...) community appears as a distributive totality. On the other hand, it is viewed as a collective totality. When generalized, intersubjectivity leads to the formation of both the social concept of people and the moral concept of humanity, while patriotism requires the individual’s loyalty to the nation. In order to maintain the coherence of the very political concept of people and to solve the main political problem - which is to reconcile security and liberty - it is necessary to overcome the dichotomy between cosmopolitism and patriotism. Emile and Rousseau’s original plan for On the Social Contract are consistent on that point. Key Words: cosmopolitism • general will • intersubjectivity • nation • patriotism • people. (shrink)

L’education du citoyen n’a pas à former le militant politique. Elle ne doit pas non plus se contenter d’informer l’usager des services publics ou le client des administrations. Dans les limites d’une pratiqueréaliste, elle se conçoit comme une éducation du jugement fournissant aux élèves les critères formeIs du droit. Elle s’appuie sur les droits de l’homme en évitant de les transformer en un nouveau catéchisme. Elle noue la réflexion à l’action en visant à faire de l’idée de droit une véritable (...) force politique. (shrink)

In Rousseau’s political theory, the Legislator’s task is to draft the best possible Constitution for a given people. His goal is to maintain the public liberties and to ensure the preservation and prosperity of the State. However, the main problem is “to put law above men” – that is: above the citizens in general and the members of the executive in particular. This paper examines how the Legislator takes up the problem by educating the citizens. The process of education implies (...) the development of reasonable thinking as well as the education of desire. Reasonable thinking is achieved through the formation of the general will. Education of human desire must be understood with respect to the distinction between amour-propre and amour-de-soi. The extension of amour-de-soi to a communityof fellow citizens plays a central role in the formation of the general will and contributes to the development of solidarity among the different social classes. Education of amour-propre plays a role in the development of a national identity. It plays also a role in the political governance of individual desires by means of an administration based on a hierarchy of functions, supervised by public opinion. However, the political governance of desire is challenged by the invisible power of money, which Rousseau tried to neutralize by limiting and slowing down the monetary circulation. (shrink)

We give a construction of the square principle by means of forcing with finite conditions.

The status of independent statements is the main problem in the philosophy of set theory. We address this problem by presenting the perspective of a practising set theorist. We thus give an authentic insight in the current state of thinking in set-theoretic practice, which is to a large extent determined by independence results. During several meetings, the second author asked the first author about the development of forcing, the use of new axioms and set-theoretic intuition on independence. Parts of these (...) conversations are directly presented in this article. They are supplemented by important mathematical results as well as discussion sections. Finally, we present three hypotheses about set-theoretic practice: First, that most set theorists were surprised by the introduction of the forcing method. Second, that most set theorists think that forcing is a natural part of contemporary set theory. Third, that most set theorists prefer an answer to a problem with the help of a new axiom of lowest possible consistency strength, and that for most set theorists, a difference in consistency strength weighs much more than the difference between Forcing Axiom and Large Cardinal Axiom. (shrink)

A wide Aronszajn tree is a tree of size and height $\omega _{1}$ with no uncountable branches. We prove that under $MA$ there is no wide Aronszajn tree which is universal under weak embeddings. This solves an open question of Mekler and Väänänen from 1994. We also prove that under $MA$, every wide Aronszajn tree weakly embeds in an Aronszajn tree, which combined with a result of Todorčević from 2007, gives that under $MA$ every wide Aronszajn tree embeds into a (...) Lipschitz tree or a coherent tree. We also prove that under $MA$ there is no wide Aronszajn tree which weakly embeds all Aronszajn trees, improving the result in the first paragraph as well as a result of Todorčević from 2007 who proved that under $MA$ there are no universal Aronszajn trees. (shrink)

We investigate strictly positive finitely additive measures on Boolean algebras and strictly positive Radon measures on compact zerodimensional spaces. The motivation is to find a combinatorial characterisation of Boolean algebras which carry a strictly positive finitely additive finite measure with some additional properties, such as separability or nonatomicity. A possible consistent characterisation for an algebra to carry a separable separable positive measure was suggested by Talagrand in 1980, which is that the Stone space K of the algebra satisfies that its (...) space M(K) of measures is weakly separable, equivalently that C(K) embeds into l∞. We show that there is a ZFC example of a Boolean algebra (so of a compact space) which satisfies this condition and does not support a separable strictly positive measure. However, we use this property as a tool in a proof which shows that under MA+⇁ CH every atomless ccc Boolean algebra of size < c carries a nonatomic strictly positive measure. Examples are given to show that this result does not hold in ZFC. Finally, we obtain a characterisation of Boolean algebras that carry a strictly positive nonatomic measure in terms of a chain condition, and we draw the conclusion that under MA+⇁ CH every atomless ccc Boolean algebra satisfies this stronger chain condition. (shrink)

This contribution presents the idea that the functioning of modern democracy implies a reciprocal education of the governed and those who govern, of public opinion and the political class, within the framework of the rule of law. Such reciprocal interaction is a prerequisite for the development of a collective intelligence (phronesis) that make the achievement of sound political decisions possible. However, the democratic process develops in such a way that it also generates counter-educational effects. This is due to the fact (...) that the same process includes a contest for power that arouses antisocial feelings and achieves a kind of counter-education. One of the reasons for this ambivalence lies in the way in which political parties operate: they are both laboratories for the development and implementation of collective projects and instruments for the conquest and exercise of power. A similar ambivalence characterizes the role of states at the level of international relations concerning the handling of global problems. What is at stake is the possibility of dealing in a sensible way with problems that, at both the national and international levels, can only be solved through concerted and cooperative action. (shrink)

Without society there is no nature. Paradoxically, this is what Rousseau’s texts teach us. The paradox lies in the fact that the Discourse on Inequality seems to say the exact opposite. In the second Discourse, the history of the human species appears to unfold within the framework of an immutable, ahistorical natural order. In this article, I will highlight two points. First, I will show that nature understood as a whole does not really exist for the human being in the (...) state of nature. It only exists for the educated, cultured, and therefore socialized human being. Second, I will analyze a passage from Rousseau’s Essay on the Origin of Languages, which brings to the fore the “negentropic” function of human labor. Without human labor, the natural order disintegrates. This, I will argue, makes nature a political problem for both Rousseau and for us. (shrink)

L’education du citoyen n’a pas à former le militant politique. Elle ne doit pas non plus se contenter d’informer l’usager des services publics ou le client des administrations. Dans les limites d’une pratiqueréaliste, elle se conçoit comme une éducation du jugement fournissant aux élèves les critères formeIs du droit. Elle s’appuie sur les droits de l’homme en évitant de les transformer en un nouveau catéchisme. Elle noue la réflexion à l’action en visant à faire de l’idée de droit une véritable (...) force politique. (shrink)

This article deals with the notion of transnational democracy, which is an object of debate in contemporary political philosophy. The analysis focuses on a few central issues. First, the notion of transnationality is developed in contrast with the ideal-type of the nation-state (I). Two possible viewpoints on transnational democracy are envisaged, in relation to the opposition between state and society and the alternative between representation and participation (II). Then, three paradigms of transnational democracy are defined (III) and their respective limits (...) are examined (IV). An extended conclusion develops some remarks regarding the transformation and “universalization” of traditions (V). (shrink)

La relation entre privé et public est thématisée par Hannah Arendt et par Eric Weil sous des angles différents. Notre intérêt est de trouver dans la manière dont les auteurs élaborent les problèmes de la relation privé-public, quelques propositions pour comprendre la situation moderne de l’individu. La confrontation de la phénoménologie arendtienne et de la philosophie réflexive et formelle de Weil nous conduit à entrevoir le problème du rapport de la réflexion au concret, qui en l’occurrence est celui de la (...) vie dans l’Etat : le problème méthodologique est lié au problème politique. (shrink)

This paper deals with the relationships between ethics and the environment in Rousseau’s thought. The concept of environment is understood in its various dimensions. What is at stake is the natural, as well as the social and political, environment of human beings. The notion of ethics is also understood in a broad sense. We do not set ethics, understood as the search for happiness (or for the good life) against morality, understood as the fulfillment of duty. However, we take up (...) two main questions. The first question concerns the influence of the environment, both natural and social, upon the ethical development of human beings. The second question concerns the responsibility of human beings towards nature. We examine what Rousseau teaches us regarding these two questions. Finally, we envisage liberty from the point of view of the relationships between nature and the political order. Human liberty is a matter of rights. It depends upon the republican nature of the state. However, liberty is also a sentiment that is intimately related to the living experience of nature. In order to understand what Rousseau means by liberty, we must grasp this intimate relationship between nature and politics. (shrink)

We introduce the oak property of first order theories, which is a syntactical condition that we show to be sufficient for a theory not to have universal models in cardinality λ when certain cardinal arithmetic assumptions about λ implying the failure of GCH hold. We give two examples of theories that have the oak property and show that none of these examples satisfy SOP4, not even SOP3. This is related to the question of the connection of the property SOP4 to (...) non-universality, as was raised by the earlier work of Shelah. One of our examples is the theory for which non-universality results similar to the ones we obtain are already known; hence we may view our results as an abstraction of the known results from a concrete theory to a class of theories. We show that no theory with the oak property is simple. (shrink)

We prove consistent, assuming there is a supercompact cardinal, that there is a singular strong limit cardinal $\mu$ , of cofinality $\omega$ , such that every $\mu^{+}$ -chromatic graph X on $\mu^{+}$ has an edge colouring c of X into $\mu$ colours for which every vertex colouring g of X into at most $\mu$ many colours has a g-colour class on which c takes every value. The paper also contains some generalisations of the above statement in which $\mu^{+}$ is replaced (...) by other cardinals < $\mu$. (shrink)

Let κ be a singular cardinal. Karp's notion of a chain model of size κ is defined to be an ordinary model of size κ along with a decomposition of it into an increasing union of length cf. With a notion of satisfaction and -isomorphism such models give an infinitary logic largely mimicking first order logic. In this paper we associate to this logic a notion of a dynamic EF-game which gauges when two chain models are chain-isomorphic. To this game (...) is associated a tree which is a tree of size κ with no κ-branches -branches). The measure of how non-isomorphic the models are is reflected by a certain order on these trees, called reduction. We study the collection of trees of size κ with no κ-branches under this notion and prove that when cf = ω this collection is rather regular; in particular it has universality number exactly κ+. Such trees are then used to develop a descriptive set theory of the space cf κ. The main result of the paper gives in the case of κ strong limit singular an exact connection between the descriptive set-theoretic complexity of the chain isomorphism orbit of a model, the reduction order on the trees and winning strategies in the corresponding dynamic EF games. In particular we obtain a neat analog of the notion of Scott watershed from the Scott analysis of countable models. (shrink)

Partant de l'expérience politique commune, l'article examine trois caractéristiques des conflits politiques. Les conflits politiques ne concernent pas des individus mais des groupes de toute sorte. Directement ou indirectement, ils impliquent les institutions étatiques. Ils demandent une ' solution politique ', c'est-à-dire, une solution par la discussion et non par la violence. L'analyse de ces caractéristiques nous conduit à formuler quelques réflexions sur la politique et la signification du compromis.