Countable homogeneous relational structures have been studied by many people. One area of focus is the Ramsey theory of such structures. After a review of background material, a partition theorem of Laflamme, Sauer, and Vuksanovic for countable homogeneous binary relational structures is discussed with a focus on the size of the set of unavoidable colors.

S. Ulam asked about the number of nonisomorphic projective algebras with k generators. This paper answers his question for projective algebras of finite dimension at least three and shows that there are the maximum possible number, continuum many, of nonisomorphic one-generated structures of finite dimension n, where n is at least three, of the following kinds: projective set algebras, projective algebras, diagonal-free cylindric set algebras, diagonal-free cylindric algebras, cylindric set algebras, and cylindric algebras. The results of this paper extend earlier (...) results to the collection of cylindric set algebras and provide a uniform proof for all the results. Extensions of these results for dimension two are discussed where some modifications on the hypotheses are needed. Furthermore for α |geq 2, the number of isomorphism classes of regular locally finite cylindric set algebras of dimension α of the following two kinds are computed: ones of power κ for infinite $\kappa \geq|\alpha|$ , and ones with a single generator. (shrink)

The goal of this short note is to interest set theorists in the order type ω*ω1, and to encourage them to work on the question of whether or not the Continuum Hypothesis decides the partition relation τ→2, for τ=ω*ω1 and for τ=ω1ω+2.

Suppose that α = γ + δ where $\gamma \geq \delta > 0$ . Then there is a graph G = (ω ω α ,E) which has no independent set of order type ω ω α and has no pentagram (a pentagram is a set of five points with all pairs joined by edges). In the notation of Erdos and Rado, who generalized Ramsey's Theorem to this setting, $\omega^{\omega^\alpha} \nrightarrow (\omega^{\omega^\alpha},5)^2.$.

Mentoring Away the Glass Ceiling in Academia: A Cultured Critique describes how women of diverse backgrounds perceive their mentoring experiences or the lack of mentoring experiences in the academy. This book provides a space for envisioning strategies and practices to improve mentoring practices and the collegiate environment.

Faculty in a large, urban school of engineering designed a longitudinal study to assess the critical thinking skills of undergraduate students as they progressed through the engineering program. The Paul-Elder critical thinking framework was used to design course assignments and develop a holistic assessment rubric. This paper presents the analysis of the freshman course artifacts (baseline and course critical thinking assignments) and associated faculty scoring sessions for all three cohorts. A total of 649 first semester freshman students at least 18 (...) years old agreed to participate in the study. The majority were white males with a mean high school grade point average of 3.73, ACT composite score of 28.33, and final freshman engineering course grade of 3.57. There was a statistically significant positive relationship between the freshman course artifacts and the faculty scores. Data from the study are being used to enhance the critical thinking experiences for undergraduate engineering students. (shrink)

In this paper, we study some new examples of ideals on $$\omega $$ with maximal Tukey type (that is, maximal among partial orders of size continuum). This discussion segues into an examination of a refinement of the Tukey order—known as the weak Rudin–Keisler order—and its structure when restricted to these ideals of maximal Tukey type. Mirroring a result of Fremlin (Note Mat 11:177–214, 1991) on the Tukey order, we also show that there is an analytic P-ideal above all other analytic (...) P-ideals in the weak Rudin–Keisler order. (shrink)

The aim of this essay is to examine the long-term evolution of the material reproductive vehicles of society. The fairly continuous trend of economic integration and progressive enfranchisement of the world’s people is indicated, ascertainable even with the emergence from general slavery of ancient times, through feudalism to the modern stage of industrialism and widespread national sovereignties. With greater political expression has come higher degrees and penetration of economic prosperity. Both vicious and virtuous tendencies of automation are considered. The necessary (...) foundation of living labor is recognized. (shrink)

Global stewardship explores the perspective of caring for the entire globe—all its peoples and life. The interconnectedness of the basic elementary systems—air and water, which are both necessary for terrestrial and aquatic life—is acknowledged. The concomitant threats of their toxification from immoderate employments of substances and techniques justify the need for global respect and cooperation as well as effective world economic systems as the means to sustain this life.

This essay presents what is enduring and still powerful in Marx’s analysis of capital, viewed synthetically as the resulting moral imperative to fairness in the social relationships of production.

Integral Science provides the empirical rigor needed to shift medicine's worldview. The shift in science will give rise to Integral Medicine, which will emerge from the integration and transformational change of biomedicine, psychosocial approaches, Complementary and Alternative Medicine, and other reform movements. The root metaphor of Integral Medicine is a healthy and sustainable ecosystem. At its heart are mind-body holism and collaborative learning. Healing and the creation of health will emphasize educational, self-care, and community support models. Implications are discussed for (...) practice, research, and education. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Gendered Community: Rousseau, Sex, and PoliticsJean A. PerkinsGendered Community: Rousseau, Sex, and Politics, by Penny A. Weiss; xvii & 189 pp. New York: New York University Press, 1993, $40.00.As Penny Weiss puts it herself: “The main argument of this book is that Rousseau’s defense of sexual differentiation is based on the contribution he perceives it can make to the establishment of community” (p. 7). She accomplishes this by (...) dividing the work into two parts, the first devoted to an analysis of Rousseau’s Emile and Du Contrat social, the second consisting of two feminist essays inspired by her findings.After an introduction Weiss moves directly to an analysis of Emile, showing quite conclusively that the education given to Emile and Sophie does not differ in principle although it does differ in practice since the aim in both cases is to produce sex differences that will make each of them useful members of society. Chapter Three argues that, whereas Rousseau uses much of the rhetoric of innate and natural differences between the sexes, he really does not believe in this thesis. To Rousseau human nature, either male or female, is infinitely malleable. Chapter Four outlines the political benefits that Rousseau saw in the creation of a sex-roled affectionate family. The next chapter attempts to show the consistency of Rousseau’s thought, briefly described as nonliberal, anti-feminist, and communitarian. Up to this point Weiss has remained within the tradition of textual exegesis, but in Chapter Six she moves to a feminist critique of Rousseau’s thought. The argument put forward here is that sex-differentiated roles undermine community since it denies equality to the sexes. The eventual result of such a community would be the rampant spread of domination and the inevitable abuses of power this entails.This reviewer finds many problems with the book. An annoying trait is that the arguments are not given in logical order. For instance, human beings are described as asocial, indolent, and malleable before the author refers to the state of nature where Rousseau develops this idea. At no point does Weiss refer to the so-called Golden Age that intervenes in Rousseau’s scheme between the state of nature and civilization. In many ways this was Rousseau’s real ideal and his construct of an alternative society was only developed because it is impossible to go back to a previous developmental stage. Another, more grievous omission is the total lack of reference to La Nouvelle Héloïse. As William Ray has put it in a recent article, “I consider Julie and Emile as two stages of a single pedagogical project.” Perhaps Weiss, as a political scientist, does not believe that fictional works should be studied in the same way as treatises. Finally, there is an almost complete lack of references to critical works by literary critics (the exception is Jean Starobinski). Had Weiss been aware of Lester Crocker’s important works on Rousseau, she would not have been so surprised at his antifeminism or his recourse to manipulation in both education and society. The tutor or legislator need to arrange things so that individuals can perceive themselves to be free. [End Page 184]Chapters Two, Three, and Four offer the reader a careful look at Rousseau’s aims and methods. Chapter Five gives possible replies that Rousseau might have given in the face of certain criticisms. Chapters Six, Seven, and Eight are interesting from a feminist perspective. Despite its limitations Weiss’s book contains much that is useful and thought-provoking.Jean A. PerkinsSwarthmore CollegeCopyright © 1995 The Johns Hopkins University Press... (shrink)

This book presents a collection of contemporary discourses that reconsider the relationship of democracy as a political ideology and American ideal and education as the foundation of preparing democratic citizens in America.

Le lecteur ne trouvera pas ici de melanges; classees en quatre chapitres, les articles et les traductions rassembles illustrent l'unite et la diversite du propos qui les a inspires: histoire des traditions scientifiques et textuelles (d'Euclide au Timee latin), logique et philosophie du langage (d'Abelard a Guillaume d'Ockham), psychologie et noetique (autour d'Aristote, d'Avicenne et d'Averroes), exegese et theologie (de Boece a Buridan).

Le lecteur ne trouvera pas ici de melanges; classees en quatre chapitres, les articles et les traductions rassembles illustrent l'unite et la diversite du propos qui les a inspires: histoire des traditions scientifiques et textuelles (d'Euclide au Timee latin), logique et philosophie du langage (d'Abelard a Guillaume d'Ockham), psychologie et noetique (autour d'Aristote, d'Avicenne et d'Averroes), exegese et theologie (de Boece a Buridan).