A Boolean algebra B that has a well-founded sublattice L which generates B is called a well-generated Boolean algebra. If in addition, L is generated by a complete set of representatives for B , then B is said to be canonically well-generated .Every WG Boolean algebra is superatomic. We construct two basic examples of superatomic non well-generated Boolean algebras. Their cardinal sequences are 1,0,1,1 and 0,0,20,1.Assuming MA , we show that every algebra with one of the cardinal sequences , α<1, (...) λ<20, or 0,20,1,1 is CWG.Assuming CH, or alternatively assuming MA , we determine which cardinal sequences admit only WG Boolean algebras.We find a necessary and sufficient condition for the canonical well-generatedness of algebras whose cardinal sequence has the form , α<1. We conclude that if such an algebra is CWG, then all of its quotients are CWG. We show that the above is not true for general Boolean algebras. We also conclude that if the cardinality of such an algebra is less than the cardinal defined below, then it is CWG. The cardinal is the least cardinality of an unbounded subset of {f f : ω → ω}.We investigate questions concerning embeddability, quotients and subalgebras of WG and CWG Boolean algebras, and construct various counter-examples. (shrink)

Balancing Change and Tradition in Global Education Reform is an invaluable resource for policymakers, faculty, students, and anyone interested in how decisions made about the education system ultimately affect the quality of education, educational access, and social justice.

For a complete theory of Boolean algebras T, let MT denote the class of countable models of T. For B1, B2 ∈ MT, let B1 ≤ B2 mean that B1 is elementarily embeddable in B2. Theorem 1. For every complete theory of Boolean algebras T, if T ≠ Tω, then $\langle M_T, \leq\rangle$ is well-quasi-ordered. ■ We define Tω. For a Boolean algebra B, let I(B) be the ideal of all elements of the form a + s such that $B\upharpoonright (...) a$ is an atomic Boolean algebra and $B\upharpoonright s$ is an atomless Boolean algebra. The Tarski derivative of B is defined as follows: B(0) = B and B(n + 1) = B(n)/I(B(n)). Define Tω to be the theory of all Boolean algebras such that for every n ∈ ω, B(n) ≠ {0}. By Tarski [1949], Tω is complete. Recall that $\langle A, \leq\rangle$ is a partial well-quasi-ordering, if it is a partial quasi-ordering and for every $\{a_i\mid i \in \omega\} \subseteq A$ , there are $i < j < \omega$ such that ai ≤ aj. Theorem 2. $\langle M_{T_\omega}, \leq\rangle$ contains a subset M such that the partial orderings $\langle M, \leq \upharpoonright M \rangle$ and $\langle\mathscr{P}(\omega), \subseteq\rangle$ are isomorphic. ■ Let M'0 denote the class of all countable Boolean algebras. For B1, B2 ∈ M'0, let B1 ≤' B2 mean that B1 is embeddable in B2. Remark. $\langle M'_0, \leq'\rangle$ is well-quasi-ordered. ■ This follows from Laver's theorem [1971] that the class of countable linear orderings with the embeddability relation is well-quasi-ordered and the fact that every countable Boolean algebra is isomorphic to a Boolean algebra of a linear ordering. (shrink)

Let B be a superatomic Boolean algebra (BA). The rank of B (rk(B)), is defined to be the Cantor Bendixon rank of the Stone space of B. If a ∈ B - {0}, then the rank of a in B (rk(a)), is defined to be the rank of the Boolean algebra $B b \upharpoonright a \overset{\mathrm{def}}{=} \{b \in B: b \leq a\}$ . The rank of 0 B is defined to be -1. An element a ∈ B - {0} is (...) a generalized atom $(a \in \widehat{At}(B))$ , if the last nonzero cardinal in the cardinal sequence of B $\upharpoonright$ a is 1. Let a,b $\in\widehat{At}$ (B). We denote a ∼ b, if rk(a) = rk(b) = rk(a · b). A subset H $\subseteq \widehat{At}$ (B) is a complete set of representatives (CSR) for B, if for every a $\in \widehat{At}$ (B) there is a unique h ∈ H such that h ∼ a. Any CSR for B generates B. We say that B is canonically well-generated (CWG), if it has a CSR H such that the sublattice of B generated by H is well-founded. We say that B is well-generated, if it has a well-founded sublattice L such that L generates B. THEOREM 1. Let B be a Boolean algebra with cardinal sequence $\langle\aleph_0: i . If B is CWG, then every subalgebra of B is CWG. A superatomic Boolean algebra B is essentially low (ESL), if it has a countable ideal I such that rk(B/I) ≤ 1. Theorem 1 follows from Theorem 2.9, which is the main result of this work. For an ESL BA B we define a set F B of partial functions from a certain countably infinite set to ω (Definition 2.8). Theorem 2.9 says that if B is an ESL Boolean algebra, then the following are equivalent. (1) Every subalgebra of B is CWG; and (2) F B is bounded. THEOREM 2. If an ESL Boolean algebra is not CWG, then it has a subalgebra which is not well-generated. (shrink)

We prove that the poset algebra of every scattered poset with finite width is embeddable in the poset algebra of a well ordered poset.

Traversing philosophy and the human sciences, literature, cinema, and the visual arts, this book maps out a history where all is chaos, maelstrom, and fog. If perception and language objectivate the world, if imagination structures it, if knowledge orders it, then how can we describe, name, or even apprehend that which comes to pass when language is absent, when perception vacillates, and when knowledge eludes us? How can we say, show, or make known that which undermines and refutes the order (...) of things, the supposedly immutable real, and the administration of the sensible? This book takes us on a quest that traverses philosophy and the human sciences, but also literature, cinema, and the visual arts. Not content with analysing the ordering power of our representations, in The Infra-World François J. Bonnet also interrogates the works of artists who have experienced and experimented with those moments when they crack open, giving way to anguish and vertigo. If perception is a sieve, what can be said of that which slips through its net, how does one speak of what escapes? What remains of unqualified perceptions, of vanishing sensations? Where do the indescribable, nocturnal fears hide, the horrors lurking behind closed eyes? What of the world beneath language and objectivated sensation? What of the infra-world? (shrink)

La raison d'État de la Renaissance émerge à partir de la transformation de l'ordre juridique médiéval. Sur les ruines du droit naturel, s'affirme une première raison d'État qui se revendique comme un droit fondé dans la nécessité. À l'opposé, le traité Della Ragione di Stato de Giovanni Botero refonde l'ordre juridique pour maîtriser cette nécessité. La raison d'État botérienne se rattache ainsi à un mouvement général de reconstruction de l'ordre juridique, auquel participent Machiavel ou Bodin.

Theories of discourse bring to realism new ideas about how knowledge develops and how representations of reality are influenced. We gain an understanding of the conceptual aspect of social life and the processes by which meaning is produced. This collection reflects the growing interest realist critics have shown towards forms of discourse theory and deconstruction. The diverse range of contributions address such issues as the work of Derrida and deconstruction, discourse theory, Eurocentrism and poststructuralism. What unites all of the contributions (...) is a sense that it is essential to provide a realist alternative to the hitherto dominance of social constructionism, hermeneutics and postmodernism, over many of the issues discussed. By developing a realist perspective the different authors attempt to embed discourse within the structured nature of the reality of the world. Realism can situate language, discourse and ideology within context specific, or 'causally efficacious' circumstances. Realism can help to uncover issues of power, representation, and subjectivity and how discursive and other social practices produce real effects. This can help us understand the manner in which social structures are reproduced through various forms of ideology and discourse. And by knowing this, we can start to address questions concerning human emancipation and how the world is to be transformed. (shrink)

Professeur à Iéna, berceau historique de l'idéalisme allemand, Fries (1773-1843) y incarne une autre postérité du kantisme. Il tient la voie dans laquelle la philosophie s'est engagée après Kant pour un néodogmatisme et entreprend une critique psychologique - ou anthropologique - de la raison.

A sourcebook for developing and facilitating collaborative groups capable of continuously adapting to anticipate the evolving learning needs of students. Based on a theoretical foundation of schools as complex systems in which linear management models are no longer sufficient.

Develops a theory of culture based on a metaphysics that elaborates on the Platonic and Confucian traditions. In Metaphysics of Goodness, Robert Cummings Neville extends Alfred North Whitehead’s project of cultural studies, which was based on a new metaphysics that Whitehead developed in Adventures of Ideas. Neville’s focus is value or goodness in many modes. The metaphysics treated in this book derive from the Platonic and Confucian traditions, with significant modifications of Whitehead, Peirce, Dewey, Confucius, Xunzi, and Zhou Dunyi. (...) Part one develops a theory of form based on a metaphysics of harmony. Part two elaborates a theory of art based on a metaphysics of beauty. Part three sketches a theory of personhood based on a metaphysics of obligation. Part four discusses civilization in a systematic way based on a metaphysics of flourishing. Throughout the book, Neville elaborates a theory of interpretation that is inspired by Peirce, Dewey, and Xunzi but is not limited to their ideas. While the reasoning of the book is concise, it employs methodologies from many kinds of philosophy, art criticism, ethics, and cultural studies, and sees philosophy as needing to learn from all these disciplines. “Neville’s work is informed by a lifelong engagement with the most important philosophers in history, including Plato, Aristotle, Whitehead, and Dewey. Here, he offers an important argument that there is beauty not only in how people see the world, but also in the world itself.” — Kevin Schilbrack, Appalachian State University. (shrink)

Previous works usually report greater postural stability in precise visual tasks than in stationary-gaze tasks. However, existing cognitive models do not fully support these results as they assume that performing an attention-demanding task while standing would alter postural stability because of the competition of attention between the tasks. Contrary to these cognitive models, attentional resources may increase to create a synergy between visual and postural brain processes to perform precise oculomotor behaviors. To test this hypothesis, we investigated a difficult searching (...) task and a control free-viewing task. The precise visual task required the 16 young participants to find a target in densely furnished images. The free-viewing task consisted of looking at similar images without searching anything. As expected, the participants exhibited significantly lower body displacements and a significantly higher cognitive workload in the precise visual task than in the free-viewing task. Most important, our exploration showed functional synergies between visual and postural processes in the searching task, that is, significant negative relationships showing lower head and neck displacements to reach more expended zones of fixation. These functional synergies seemed to involve a greater attentional demand because they were not significant anymore when the cognitive workload was controlled. In the free-viewing task, only significant positive relationships were found and they did not involve any change in cognitive workload. An alternative cognitive model and its potential subtended neuroscientific circuit are proposed to explain the supposedly cognitively grounded functional nature of vision–posture synergies in precise visual tasks. (shrink)

As the official UK COVID Inquiry is investigating the response by the government to the 2020 global pandemic, revealing the difficulties that the Johnson administration had to face and the overall lack of adequate preparedness at the top of the UK executive, people are becoming growingly aware of the many challenges that such situations pose in terms of crisis management and public governance. Beyond the somewhat sterile blame game played by leading political actors, this formal accountability forum has also revealed (...) competing narratives about the crisis that might have hampered any coherent political solution. This article proposes to focus on the ‘official’ narratives by the UK government and to analyse critically the way Boris Johnson narrativised his political response to the pandemic in order to examine how his unconventional style of leadership was deployed during a global crisis. Using a typology of crisis management inspired by crisis expert and leadership scholar Arjen Boin, the objective is to examine how ‘crisis narratives’ framed the way the UK government responded to the crisis. (shrink)

Looks at accounts by Locke, Fodor, Dretske, and Millikan concerning the nature of mental representation, and discusses connectionism and representation.

Selfish, dishonest or malicious agents may find an interest in manipulating others. While many works deal with designing robust systems or manipulative strategies, few works are interested in defining in a broad sense what is a manipulation and how we can reason with such a notion. In this article, based on a social science literature, we give a general definition of manipulation for multi-agent systems. A manipulation is a deliberate effect of an agent – called manipulator – to instrumentalize another (...) agent – called victim – while making sure to conceal that effect. We present then a logical framework, called KBE, to express and reason about manipulations. Since manipulation relies on deliberate effects, KBE introduces a deliberate BIAT operator which abstracts deliberate consequences of actions. We prove that this logic is sound and complete. Furthermore,we express related notions such as coercion, persuasion, or deception. (shrink)

Robert Batterman examines a form of scientific reasoning called asymptotic reasoning, arguing that it has important consequences for our understanding of the scientific process as a whole. He maintains that asymptotic reasoning is essential for explaining what physicists call universal behavior. With clarity and rigor, he simplifies complex questions about universal behavior, demonstrating a profound understanding of the underlying structures that ground them. This book introduces a valuable new method that is certain to fill explanatory gaps across disciplines.

Jakob Friedrich Fries estime que Kant a fait de funestes concessions au dogmatisme philosophique, dont il avait pourtant mieux que quiconque mis au jour les contradictions. Ainsi n’a-t-il pas distingué de façon suffisamment rigoureuse la connaissance transcendantale (qui est une connaissance de connaissances) de son objet (à savoir la connaissance a priori à laquelle elle se rapporte). Il en a conclu que la connaissance transcendantale était elle aussi a priori et a cherché à fonder les jugements synthétiques a priori sur (...) des connaissances elles-mêmes a priori. Kant a ainsi été victime d’un « préjugé de la preuve » auquel il a donné la forme spécifique d’un « préjugé du transcendantal » : dans la mesure où la « déduction transcendantale » cherche à donner une « preuve transcendantale » de la validité de nos connaissances, la théorie kantienne de la connaissance est donc menacée par un cercle logique. Aussi la déduction transcendantale bien comprise ne peut-elle être, selon Fries, qu’une déduction subjective, psychologique ou anthropologique, ce qui ne signifie pas pour autant que Fries entende réduire la philosophie à la psychologie, contrairement à ce que lui reprocheront les contempteurs de son psychologisme. (shrink)

This article reviews and corrects frequent misunderstandings of somaesthetics, the multidisciplinary field of study of the lived body conceived by Richard Shusterman. After responding to an article published in Contemporary Pragmatism, I extend the discussion to cover larger topics of discussion related to somaesthetics and misapprehensions by its critics, including the nature of somatic experience, the role of pleasure, and the relevance of culture. In rectifying mistakes of understanding, it is hoped the effort will foster better understanding and better critique.

"This is an important new Cummins work.

Selon Fries, il existe d’autres procédures de justification que celle de la preuve et la théorie de la justification doit dépasser le « préjugé de la preuve ». Kant a lui-même été la victime de ce préjugé faute d’avoir distingué entre la connaissance transcendantale et son objet (la connaissance a priori à laquelle elle se rapporte). Fries estime que la critique peut être empirique ou a posteriori sans que cela affecte le moins du monde le statut a priori de son (...) objet. La théorie friesienne de la justification comporte également une théorie originale de l’induction. (shrink)

From the ferment of recent debates about the intellectual virtues, Roberts and Wood develop an approach they call 'regulative epistemology', exploring the connection between knowledge and intellectual virtue. In the course of their argument they analyse particular virtues of intellectual life - such as courage, generosity, and humility - in detail.

Comme l’indique le sous-titre, ce livre n’est pas une biographie, mais une enquête sur la disparition dans la mémoire collective d’une grande résistante, une des six femmes Compagnons de la Libération, Laure Diebold-Mutschler. Engagée dès 1940 dans la Résistance, à l’âge de vingt-cinq ans, elle est notamment agent de liaison du réseau Mithridate avant d’entrer à Lyon dans les Forces Françaises libres et de devenir la secrétaire de Jean Moulin. Elle sera arrêtée le 24 septembre 1943 à Paris, a...

Par sa défense de l’esprit critique et de la tolérance, son refus de l’individualisme, sa conviction que la connaissance rationnelle peut contribuer à l’amélioration de la vie privée et sociale des individus et œuvrer au développement des possibilités de chacun, Carnap s’inscrit dans la tradition des Lumières. Loin de se préoccuper exclusivement de problèmes logiques ou épistémologiques, il tient la question philosophique des valeurs pour la plus importante de toutes et reconnaît la part essentielle de l’affectivité dans la vie humaine, (...) laquelle ne saurait être satisfaite par la seule pensée conceptuelle, comme en témoigne l’expression du « sentiment de la vie » par le poète ou le musicien. (shrink)

Tout travail, y compris le travail psychique, demande de l’énergie. Pour Freud, cette énergie est fournie par la libido, l’énergie sexuelle. Mais celle-ci s’exerce bien sûr de façon différente selon la forme de sexualité qu’elle anime. L’auteur envisage ces formes une à une pour montrer comment elles interviennent, leur rôle exact et surtout les problèmes qui surviennent à la suite de blocages, de surinvestissements ou de conflits internes. La sexualité génitale joue un rôle déterminant dans les deuils de personnes proches. (...) La sexualité pulsionnelle s’en prend aux objets mis en place dans la relation. L’amour idéal est également déterminant, dans la mesure où certains des objets intériorisés dans le contact avec les proches ont acquis un poids psychique particulier : ils sont indestructibles, et c’est finalement en trouvant à les remettre en place dans d’autres circuits relationnels qu’on parvient à retrouver un équivalent adéquat à la relation disparue. Il faut toutefois veiller à ce que les tendances pulsionnelles primaires issues du ça ne viennent pas tirer le mouvement du côté de la mort. (shrink)

La publication des lettres d’Isabelle de Bourbon-Parme à sa belle-sœur l’archiduchesse Marie-Christine est un événement important. Pas seulement parce que nous avons affaire à un écrit intime d’une « princesse philosophe », dont l’intelligence et l’ouverture d’esprit sont en soi dignes de notre intérêt. Mais parce qu’il s’agit de lettres d’amour à une femme, comme nous en avons peu d’exemples au xviiie siècle, et même après. Il se pourrait même que nous ayons affaire au premier écrit de cette...