This paper is a continuation of [27], where we provide the background and the basic tools for studying the structural properties of classes of models over languages without equality. In the context of such languages, it is natural to make distinction between two kinds of classes, the so-called abstract classes, which correspond to those closed under isomorphic copies in the presence of equality, and the reduced classes, i.e., those obtained by factoring structures by their largest congruences. The generic problem described (...) in [27] is to investigate under what conditions this reduction process does not alter the metatheory of a class. Here we focus our attention on a concrete aspect of this generic problem that we import from universal algebra, namely the existence and description of free models. As in [27], we can find here again the basic notion of protoalgebraicity, which was originally introduced in [7] as the weakest condition to guarantee that the reduction process behaves reasonably well from an algebraic point of view. Our concern, however, takes us to handle a further notion, that of semialgebraicity, which corresponds to the notion of equivalential logic of [18]; semialgebraicity turns out to be the property which ensures that freeness is fully preserved by the reduction process. (shrink)

The essence of religious alienation may be identified by the use of Marx's method as we study the relationship of human beings to inimical natural and social forces dominant over them and give primary attention to the internal structure of socioeconomic alienation. In this connection it is necessary to take into consideration that the category alienation does not reveal its historical quality directly. Therefore, Marx and Engels did not confine their analysis to identifying the major features of alienation, but sought (...) to uncover the specifics of particular historically concrete forms of alienation. But the category alienation is a wholly meaningful abstraction, for it expresses a characteristic feature of the "prehistory" of humanity: realities created by human beings present themselves as dominant inimical, spontaneous forces not subordinate to the action of human beings. The Marxist analysis of the economic basis of alienation is the key to understanding all alienation. (shrink)

In this paper I prove the following theorems which are the converses of some results of Judah and Laver (1983) and of Judah and Marshall (1993).-IfKM+ATW is not an extension by definition ofKM (and the model involved is well founded), then the existence of two inaccessible cardinals is consistent with ZF.-IfKM+ATW is not a conservative extension ofKM (and the model involved is well founded), then the existence of an inaccessible number of inaccessible cardinals is consistent with ZF.whereKM is Kelley Morse (...) theory andKM+ATW isKM with types of well-orders. (shrink)

When a professor from Middle Europe teaches Computer Ethics in the Middle East using a textbook from the US, cultural differences become apparent. A main challenge lies in avoiding cultural imperialism during teaching. In order to meet this challenge, personal portfolios have been used for course work. The course design as well as portfolio tasks are presented and experiences are discussed. Based on our experiences we recommend applying this approach to equally overcome effects of group dynamics in similar courses as (...) well as to bridge the generational gap that normally exists between students and professors. (shrink)

The books The Mythology of Management by Peter Fleming and The Dark Side of Management by Gerard Hanlon are reviewed. Both books foreground the practices and ideologies of management as core elements of neoliberalism and provide both historical analysis as well as contemporary observation of management as a persistent form of de-skilling workers that leaves them utterly dependent on an antagonistic class of managers.

Early in 2008 I published Hate in the Classroom: Free Expression, Holocaust Denial, and Liberal Education. A rejoinder was published, and this is my reply to the rejoinder. It is about education and the role of the teacher in the classroom. I argue that teachers should keep their hateful views to themselves and not pronounce them publicly if they wish to serve as educators. Students should not be subjected to teachers who are unable to appreciate difference and pluralism, who interpret (...) liberty as a tool for hate, who abhor violence, and who exemplify the opposite of humanistic education. One cannot be a hate monger and an educator. When one opts to be the former, one should stay out of the classroom. (shrink)

(2007). A Rview Of “Asian Americans in Class: Charting the Achievement Gap Among Korean American Youth”. Educational Studies: Vol. 42, No. 1, pp. 68-71.

In this article we investigate similarities between the role that ineffability of Absolute Infinity plays in class theory and in theology.

In this article we show that Morse-Kelley class theory provides us with an adequate framework for class forcing. We give a rigorous definition of class forcing in a model \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$$$ \end{document} of MK, the main result being that the Definability Lemma can be proven without restricting the notion of forcing. Furthermore we show under which conditions the axioms are preserved. We conclude by proving that Laver’s Theorem does (...) not hold for class forcings. (shrink)

Objective Apeiron was founded in 1966 and has developed into one of the oldest and most distinguished journals dedicated to the study of ancient philosophy, ancient science, and, in particular, of problems that concern both fields. Apeiron is committed to publishing high-quality research papers in these areas of ancient Greco-Roman intellectual history; it also welcomes submission of articles dealing with the reception of ancient philosophical and scientific ideas in the later western tradition. The journal appears quarterly. Articles are peer-reviewed on (...) a double-blind basis. Topics ancient philosophy ancient science reception of ancient philosophical and scientific ideas in the later western tradition Article formats Original Articles. (shrink)

We prove the following main theorem: Let be an abstract elementary class satisfying the joint embedding and the amalgamation properties with no maximal models of cardinality μ. Let μ be a cardinal above the the Löwenheim‐Skolem number of the class. If is μ‐Galois‐stable, has no μ‐Vaughtian Pairs, does not have long splitting chains, and satisfies locality of splitting, then any two ‐limits over M, for, are isomorphic over M.

Teaching for social justice requires an ability to address sensitive issues such as racism and sexism so that students can gain critical consciousness of these pervasive social realities. However, the empirical literature thus far provides minimal exploration of the factors teachers consider in deciding how to address these issues. This study explores this question through ethnographic case studies of two urban, 11th grade U.S. History classrooms. Differing classroom racial demographics and teacher instructional goals resulted in two distinct pedagogical approaches to (...) social justice teaching. Despite differences in class makeup and teaching approach, students in both classrooms developed intellectual confidence and critical citizenship skills related to their growing sociopolitical awareness. (shrink)

The present "philological commentary" is directed at those who have decided to take time for reading the original text, at least in an English translation. The first volume "Textual Criticism" is intended to meet the difficulties caused by the fact that our text editions are based on manuscripts separated from the original by more than a millennium.

With the third volume, it is invited to enter the intellectual environment of Aristotle. The most relevant sources are given in full (with English translation), so that the commentary is also a reader documenting the disputationes metaphysicae of the 4th century BC. For the undeniable contradictions in the Metaphysics, a new genetic explanation is offered.

The question of the relationship between ontology and theology, the main problem of the interpretation in volume 3, is also the guiding question of our last volume. The history of metaphysics is a history of the efforts towards an outlook on the world and life, which are about the meaning and connection of fundamental concepts: being, life, intellect, unity, truth, goodness. From these, the concept of divinity is derived. As in the previous volumes, a rich material of original texts and (...) interpretations is spread out. (shrink)

Though since Werner Jaeger's famous Studien zur Entstehungsgeschichte der Metaphysik des Aristoteles of 1912 remarkable observations were made, the topic "Composition of the Metaphysics" almost disappeared from the agenda. As, however, neglect of this philological task results in either selective reading or anachronistic systematization, the author has resumed it, extending it to the internal structure of the singular books.

Der vorliegende "philologische" Kommentar beansprucht Kants Critik der reinen Vernunft aus ihren historischen Voraussetzungen zu erklären. Zu diesen gehört an erster Stelle Kants Sprache; sie ist nicht mehr die unsere, was den unvorbereiteten Leser von heute schon an der Semantik und Syntax vieler Sätze scheitern lässt. Neben einer Fülle von sprachlichen Erläuterungen und textkritischen Untersuchungen bringt der Kommentar reichliche Zitate aus den von Kant benutzten Logik- und Metaphysik-Lehrbüchern, die seine Rezeption der "dogmatischen" Philosophie Christian Wolffs und seiner Nachfolger belegen; lateinische (...) Texte werden dabei sowohl im Original als auch in deutscher Übersetzung geboten. Einzelne Motive werden ideengeschichtlich bis in die Antike zurückverfolgt; hieraus eröffnen sich Perspektiven für eine "Metakritik" von einem "vorkritischen" Standpunkt aus, die im Rahmen eines philologischen Kommentars nur angedeutet werden können. (shrink)

This article evaluates the centrality of class in the "social interpretation" of the French Revolution put forward by George Lefebvre, Albert Soboul, and others. The social interpreters introduce an admirable complexity into their explanations of the causes and dynamics of the Revolution, but this complexity stems from their use of loose, multiple, and often contradictory notions of class influenced partly by Joseph Barnave's "stage theory" of pre-Revolutionary France and by "vulgar Marxism." These notions contrast with the concept of (...) class - surplus-labor extraction - developed in the three volumes of Marx's Capital, and they also are the focus of criticisms advanced by revisionist historians such as Alfred Cobban and Franqois Furet. While the revisionists' criticisms are often justified and provide useful theoretical directions, the social interpreters' focus on class can be preserved by using this alternative concept. Using this concept can consistently convey the many class divisions in pre-Revolutionary France and the multiple class positions historical agents simultaneously occupied before, during, and after the Revolution. (shrink)

A theory T is tight if different deductively closed extensions of T (in the same language) cannot be bi-interpretable. Many well-studied foundational theories are tight, including $\mathsf {PA}$ [39], $\mathsf {ZF}$, $\mathsf {Z}_2$, and $\mathsf {KM}$ [6]. In this article we extend Enayat’s investigations to subsystems of these latter two theories. We prove that restricting the Comprehension schema of $\mathsf {Z}_2$ and $\mathsf {KM}$ gives non-tight theories. Specifically, we show that $\mathsf {GB}$ and $\mathsf {ACA}_0$ each admit different bi-interpretable extensions, (...) and the same holds for their extensions by adding $\Sigma ^1_k$ -Comprehension, for $k \ge 1$. These results provide evidence that tightness characterizes $\mathsf {Z}_2$ and $\mathsf {KM}$ in a minimal way. (shrink)

In an ongoing class action suit against large tobacco companies, including Philip Morris, Inc., and R.J. Reynolds Tobacco Co., Judge Jack B. Weinstein of the U.S. District Court for the Eastern District of New York issued an opinion on October 15, 2002 making statistical proof available to address plaintiffs’ common questions and prove required elements of consumer fraud.The dilemmas inherent in tobacco litigation as a mass tort action include overcoming the collective action problem, mobilizing appropriate and persuasive legal theories (...) for recovery, and meeting the standards of proof, all in a timely and cost-effective manner. While some tobacco cases have proceeded on products liability theories of defective or negligent design, many recent cases are grounded in consumer fraud laws. (shrink)

We prove the Decomposability Conjecture for functions of Baire class $2$ from a Polish space to a separable metrizable space. This partially answers an important open problem in descriptive set theory.

The reference class problem arises when we want to assign a probability to a proposition (or sentence, or event) X, which may be classified in various ways, yet its probability can change depending on how it is classified. The problem is usually regarded as one specifically for the frequentist interpretation of probability and is often considered fatal to it. I argue that versions of the classical, logical, propensity and subjectivist interpretations also fall prey to their own variants of the (...) reference class problem. Other versions of these interpretations apparently evade the problem. But I contend that they are all “no-theory” theories of probability - accounts that leave quite obscure why probability should function as a guide to life, a suitable basis for rational inference and action. The reference class problem besets those theories that are genuinely informative and that plausibly constrain our inductive reasonings and decisions. I distinguish a “metaphysical” and an “epistemological” reference class problem. I submit that we can dissolve the former problem by recognizing that probability is fundamentally a two-place notion: conditional probability is the proper primitive of probability theory. However, I concede that the epistemological problem remains. (shrink)

We consider the logics determined by the set of all natural implicative expansions of Kleene’s strong 3-valued matrix and select the class of all logics functionally equivalent to Łukasiewicz’s 3-valued logic Ł3. The concept of a “natural implicative matrix” is based upon the notion of a “natural conditional” defined in Tomova.

In this paper I argue that the analysis of natural properties as convex subsets of a metric space in which the distances are degrees of dissimilarity is incompatible with both the definition of degree of dissimilarity as number of natural properties not in common and the definition of degree of dissimilarity as proportion of natural properties not in common, since in combination with either of these definitions it entails that every property is a natural property, which is absurd. I suggest (...) it follows that we should think of the convex class analysis of natural properties as a variety of resemblance nominalism. (shrink)

I will discuss a variety of cases such that the subject's believing truly is somewhat of an accident, but less so than in a Gettier case. In each case, this is because her reasons are not ultimately undefeated full stop, but they are ultimately undefeated with certain qualifications. For example, the subject's reasons might be ultimately defeated considered in themselves but ultimately undefeated considered as a proper part of an inference to the best explanation that is undefeated without qualification. In (...) each section of the paper, I consider different qualifications and show how in each case we get an epistemic standing I call “coach-class knowledge”. First-class knowledge requires justifying reasons that are undefeated without qualification. Coach-class knowledge only requires qualified lack of defeat. I will use this distinction to bring debates over knowledge from falsehood and fake barns to an ecumenical resolution. In both cases, the subject enjoys coach-class rather than first-class knowledge. I will also show that the defeasible reasoning tradition can better account for graded accidental truth than safety theories. (shrink)

There are numerous interpretations of Plato's theory of justice as it relates to the ideal state, deeply intertwined with his political philosophy. This complexity makes understanding his interlocking ideas challenging, as he seeks to construct a theory of the ideal state. Plato's philosophy of justice, particularly in its political dimension, emphasizes integration as a fundamental factor in grasping his theory. This paper aims to elucidate the original concept of justice in Plato's state by delving into the roots of the Republic, (...) analyzing its historical context. Plato's predictions reflect values and truths connected to politics and philosophy, emphasizing integration as essential to understanding his theory of justice, which lies at the core of his philosophy. This essay compares the relationship between the functions and class structure of the state. Plato classifies human nature into three components: reason, courage, and appetite, which correspond to three major classes in the state. The ruling class, educated in philosophy, governs the state. The military class, characterized by courage and strength, defends the state, while the professional class manages the everyday affairs of governance. Plato's theory posits functional specialization across all classes as fundamental to his ideal state. In essence, while Plato's imagined city may lack historical existence, it holds significant relevance in the realm of speculative human thought. Keywords: Justice. State. Function. Class. Rulers. Guardians. Producers. (shrink)

We explain and explore class-theoretic potentialism—the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.

There is a gap between politicians and the general public. The current British political class is widely viewed as uniform in who they are, what they think, and how they behave. A more diverse pool of politicians would not only better reflect democratic principles of equality, but may even result in better political outcomes.

The TRIM/RBCC proteins are defined by the presence of the tripartite motif composed of a RING domain, one or two B‐box motifs and a coiled‐coil region. These proteins are involved in a plethora of cellular processes such as apoptosis, cell cycle regulation and viral response. Consistently, their alteration results in many diverse pathological conditions. The highly conserved modular structure of these proteins suggests that a common biochemical function may underlie their assorted cellular roles. Here, we review recent data indicating that (...) some TRIM/RBCC proteins are implicated in ubiquitination and propose that this large protein family represents a novel class of ‘single protein RING finger’ ubiquitin E3 ligases. BioEssays 27:1147–1157, 2005. © 2005 Wiley Periodicals, Inc. (shrink)

The aim of this study was to examine how Muslim Arab–Israeli teachers conceptualize the Israeli–Arab conflict with their students. The findings show that Arab schools are in a constant state of tension between opposing poles of identity and belonging. The teachers emphasize their students’ alienation from the Israeli establishment and their lack of identification with the Jewish state, while expressing deep identification with the Palestinian people. They are able to cope with this split by seeking contents and coping mechanisms of (...) a universal nature that are not in dispute, and which enable students to repress the dissonance in which they live. (shrink)