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)

Winner of the 1975 National Book Award, this brilliant and widely acclaimed book is a powerful philosophical challenge to the most widely held political and social positions of our age--liberal, socialist, and conservative.

Robert Stern investigates how scepticism can be countered by using transcendental arguments concerning the necessary conditions for the possibility of experience, language, or thought. He shows that the most damaging sceptical questions concern neither the certainty of our beliefs nor the reliability of our belief-forming methods, but rather how we can justify our beliefs.

This is a paradigmatic work of contemporary philosophy.

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.

Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the connections between them. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defense of Kant's theory (...) of analytic and synthetic necessary truth, making this compelling reading for all who are interested in these fundamental philosophical issues. (shrink)

One of our great behavioral scientists, the bestselling author of Behave, plumbs the depths of the science and philosophy of decision-making to mount a devastating case against free will, an argument with profound consequences Robert Sapolsky's Behave, his now classic account of why humans do good and why they do bad, pointed toward an unsettling conclusion: We may not grasp the precise marriage of nature and nurture that creates the physics and chemistry at the base of human behavior, but (...) that doesn't mean it doesn't exist. Now, in Determined, Sapolsky takes his argument all the way, mounting a brilliant (and in his inimitable way, delightful) full-frontal assault on the pleasant fantasy that there is some separate self telling our biology what to do. Determined offers a marvelous synthesis of what we know about how consciousness works-the tight weave between reason and emotion and between stimulus and response in the moment and over a life. One by one, Sapolsky tackles all the major arguments for free will and takes them out, cutting a path through the thickets of chaos and complexity science and quantum physics, as well as touching ground on some of the wilder shores of philosophy. He shows us that the history of medicine is in no small part the history of learning that fewer and fewer things are somebody's "fault"; for example, for centuries we thought seizures were a sign of demonic possession. Yet, as he acknowledges, it's very hard, and at times impossible, to uncouple from our zeal to judge others and to judge ourselves. Sapolsky applies the new understanding of life beyond free will to some of our most essential questions around punishment, morality, and living well together. By the end, Sapolsky argues that while living our daily lives recognizing that we have no free will is going to be monumentally difficult, doing so is not going to result in anarchy, pointlessness, and existential malaise. Instead, it will make for a much more humane world. (shrink)

Classical American pragmatism: the pragmatist -- Enlightenment-and its problematic semantics -- Analyzing pragmatism: pragmatics and pragmatisms -- A Kantian rationalist pragmatism: pragmatism -- Inferentialism, and modality in Sellars's arguments against -- Empiricism -- Linguistic pragmatism and pragmatism about norms: an arc of -- Thought from Rorty's eliminative materialism to his pragmatism -- Vocabularies of pragmatism: synthesizing naturalism and -- Historicism -- Towards an analytic pragmatism: meaning-use analysis -- Pragmatism, expressivism, and anti-representationalism: -- Local and global possibilities.

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.

The Joy of Philosophy is a return to some of the perennial questions of philosophy--questions about the meaning of life; about death and tragedy; about the respective roles of rationality and passion in the good life; about love, compassion, and revenge; about honesty, deception, and betrayal; and about who we are and how we think about who we are. Recapturing the heart-felt confusion and excitement that originally brings us all to philosophy, internationally renowned teacher and lecturer Robert C. Solomon (...) offers both a critique of contemporary philosophy and an invitation to engage in philosophy in a different way. He attempts to save philosophy from itself and its self-imposed diet of thin arguments and logical analysis to recover the richness and complexity of life in thought. Solomon defends the passionate life in contrast to the life of thoughtful contemplation idealized by so many philosophers, attempting to recapture the kind of philosophy that Nietzsche celebrated as a "joyful wisdom.". (shrink)

Comprehensie collection of historical and contemporary philosophies of technology, including Plato, Aristotle, St. Simon, Comte, Marx, Heidegger, Mumford, Foucault.

On the Genealogy of Morality has become the most common point of entry into Nietzsche's thought. It offers relatively straightforward, sustained explanatory narratives addressing many of the main ideas of Nietzsche's mature thought, such as 'will to power', 'nihilism', 'perspectivism' and the 'value of truth'. It also directs its attention to what is widely taken to be Nietzsche's important philosophical contribution, the critique of morality. Yet it is challenging to understand because Nietzsche intended it as an expansion and elaboration of (...) his ideas developed elsewhere. Presupposing no prior knowledge of Nietzsche or the text, Robert Guay provides the interpretive and philosophical context to make Nietzsche's thought more accessible and shows how Nietzsche's narratives engage with philosophical issues about agency, self-knowledge, historical explanation and the critique of morality"-- Back cover. (shrink)

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)

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

Abstract:This paper is a preliminary attempt to better understand the concept of legitimacy in stakeholder theory. The normative component of stakeholder theory plays a central role in the concept of legitimacy. Though the elaboration of legitimacy contained herein applies generally to all “normative cores” this paper relies on Phillips’s principle of stakeholder fairness and therefore begins with a brief description of this work. This is followed by a discussion of the importance of legitimacy to stakeholder theory as well as the (...) general ambiguity of the term. A distinction is then drawn between normative and derivative legitimacy. Reference to this distinction helps distinguish between a relationship with the organization based on direct moral obligation and one based on the power to help or harm the organization. It is concluded that stakeholders who retain the ability to affect the organization arelegitimate(derivatively), but that this legitimacy is derived from the moral obligation owed other (normative) stakeholders and that the two sorts of legitimacy are importantly different from one another. An example of the normative/derivative distinction at work in managerial decision making is elaborated upon and managerial and research implications are then suggested. (shrink)

The volume concludes by examining a critique of Hegel's metaphysical position from the perspective of the "continental" tradition, and in particular Gilles ...

Abstract:Should the responsibilities of business managers be understood independently of the social circumstances and “market forces” that surround them, or (in accord with empiricism and the social sciences) are agents and their choices shaped by their circumstances, free only insofar as they act in accordance with antecedently established dispositions, their “character”? Virtue ethics, of which I consider myself a proponent, shares with empiricism this emphasis on character as well as an affinity with the social sciences. But recent criticisms of both (...) empiricist and virtue ethical accounts of character deny even this apparent compromise between agency and environment. Here is an account of character that emphasizes dynamic interaction both in the formation and in the interplay between personal agency and responsibility on the one hand and social pressures and the environment on the other. (shrink)

The literature on theoretical reason has been dominated by epistemological concerns, treatments of practical reason by ethical concerns. This book overcomes the limitations of dealing with each separately. It sets out a comprehensive theory of rationality applicable to both practical and theoretical reason. In both domains, Audi explains how experience grounds rationality, delineates the structure of central elements, and attacks the egocentric conception of rationality. He establishes the rationality of altruism and thereby supports major moral principles. The concluding part describes (...) the pluralism and relativity his conception of rationality accommodates and, taking the unified account of theoretical and practical rationality in that light, constructs a theory of global rationality--the overall rationality of persons. Rich in narrative examples, intriguing analogies, and intuitively appealing arguments, this beautifully crafted book will spur advances in ethics and epistemology as well in philosophy of mind and action and the theory of rationality itself. (shrink)

This is the most important book on Hegel to have appeared in the past ten years. Robert Pippin offers a completely new interpretation of Hegel's idealism, which focuses on Hegel's appropriation and development of kant's theoretical project. Hegel is presented neither as a precritical metaphysician nor as a social theorist, but as a critical philosopher whose disagreements with Kant, especially on the issue of intuitions, enrich the idealist arguments against empiricism, realism and naturalism. In the face of the dismissal (...) of absolute idealism as either unintelligible or implausible, Pippin explains and defends an original account of the philosophical basis for Hegel's claims about the historical and social nature of selfconsciousness, and so of knowledge itself. (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)

In this paper, we develop an analysis of the structure and content of loneliness. We argue that this is an emotion of absence-an affective state in which certain social goods are regarded as out of reach for the subject of experience. By surveying the range of social goods that appear to be missing from the lonely person's perspective, we see what it is that can make this emotional condition so subjectively awful for those who undergo it, including the profound sense (...) of being unable to realise oneself, in collaboration with others. (shrink)

A subtle and distinguished work by a philosopher renowned for his groundbreaking analysis of human emotions, About Love.

In “The Sources of Knowledge,” Robert Audi distinguishes what he calls the “four standard basic sources” by which we acquire knowledge or justified belief: perception, memory, consciousness, and reason. With the exception of memory, he distinguishes each of the above as a basic source of knowledge. Audi contrasts basic sources with nonbasic sources, concentrating on testimony. After clarifying the relationship between a source and a ground, or “what it is in virtue of which one knows or justifiedly believes,” Audi (...) evaluates the basic sources’ individual and collective autonomy as well as their vulnerability to defeasibility. He also examines the relationship of coherence to knowledge and justification, noting the distinction between a negative dependence on incoherence and a positive dependence on coherence. (shrink)