This article deals with a set-theoretic interpretation of the Talmudic rules of General and Specific, known as Klal and Prat (KP), Prat and Klal (PK), Klal and Prat and Klal (KPK) and Prat and Klal and Prat (PKP).

In recent philosophy of mathematics avariety of writers have presented ``structuralist''views and arguments. There are, however, a number ofsubstantive differences in what their proponents take``structuralism'' to be. In this paper we make explicitthese differences, as well as some underlyingsimilarities and common roots. We thus identifysystematically and in detail, several main variants ofstructuralism, including some not often recognized assuch. As a result the relations between thesevariants, and between the respective problems theyface, become manifest. Throughout our focus is onsemantic and metaphysical issues, (...) including what is orcould be meant by ``structure'' in this connection. (shrink)

The effort to align MathML 3 and OpenMath has led to a realisation that (pragmatic) MathML’s condition and domainofapplication elements, when used with quantifiers, do not have a neat expression in OpenMath. This paper analyzes the situation focusing on quantifiers and proposes a solution, via six new symbols. Two of them fit completely within the existing OpenMath structure, and we place them in the associated quant3 CD. The others require a generalization of OMBIND. We also propose, logically separately but in (...) the same area, a quant2 CD with existsuniquely, commonly written ∃!, and the ‘fusion’ symbol existsuniquelyin. In a second step we generalize the solution to the phenomenon of big operators that MathML 2 implicitly provides but which do not have a direct counterpart in the OpenMath CDs. (shrink)

One of the fundamental and seemingly simple aims of mathematical knowledge management (MKM) is to develop and standardize formats that allow to “represent the meaning of the objects of mathematics”. The open formats OpenMath and MathML address this, but differ subtly in syntax, rigor, and structural viewpoints (notably over calculus). To avoid fragmentation and smooth out interoperability obstacles, effort is under way to align them into a joint format OpenMath/MathML 3. We illustrate the issues that come up in such an (...) alignment by looking at three main areas: bound variables and conditions, calculus (which relates to the previous) and “lifted” n-ary operators. (shrink)

Is Leo Strauss truly an intellectual forebear of neoconservatism and a powerful force in shaping Bush administration foreign policy? _The Truth about Leo Strauss_ puts this question to rest, revealing for the first time how the popular media came to perpetuate such an oversimplified view of such a complex and wide-ranging philosopher. More important, it corrects our perception of Strauss, providing the best general introduction available to the political thought of this misunderstood figure. Catherine and Michael Zuckert—both former students (...) of Strauss—guide readers here to a nuanced understanding of how Strauss’s political thought fits into his broader philosophy. Challenging the ideas that Strauss was an inflexible conservative who followed in the footsteps of Nietzsche, Heidegger, and Carl Schmitt, the Zuckerts contend that Strauss’s signature idea was the need for a return to the ancients. This idea, they show, stemmed from Strauss’s belief that modern thought, with its relativism and nihilism, undermines healthy politics and even the possibility of real philosophy. Identifying this view as one of Strauss’s three core propositions—America is modern, modernity is bad, and America is good—they conclude that Strauss was a sober defender of liberal democracy, aware of both its strengths and its weaknesses. The Zuckerts finish, appropriately, by examining the varied work of Strauss’s numerous students and followers, revealing the origins—rooted in the tensions within his own thought—oftheir split into opposing camps. Balanced and accessible, _The Truth about Leo Strauss_ is a must-read for anyone who wants to more fully comprehend this enigmatic philosopher and his much-disputed legacy. (shrink)

Is Leo Strauss truly an intellectual forebear of neoconservatism and a powerful force in shaping Bush administration foreign policy? _The Truth about Leo Strauss_ puts this question to rest, revealing for the first time how the popular media came to perpetuate an oversimplified view of a complex and wide-ranging philosopher. In doing so, it corrects our perception of Strauss, providing the best general introduction available to the political thought of this misunderstood figure. Catherine and Michael Zuckert—both former students of (...) Strauss—guide readers here to a nuanced understanding of how Strauss’s political thought fits into his broader philosophy. Challenging the ideas that Strauss was an inflexible conservative who followed in the footsteps of Nietzsche, Heidegger, and Carl Schmitt, the Zuckerts contend that Strauss’s signature idea was the need for a return to the ancients. Through their work, they conclude that Strauss was a sober defender of liberal democracy, aware of both its strengths and its weaknesses. Balanced and accessible, _The Truth about Leo Strauss_ is a must-read for anyone who wants to more fully comprehend this enigmatic philosopher and his much-disputed legacy. “_The Truth about Leo Strauss_ is the most balanced and insightful book yet written about Strauss’s thought, students, and political influence. It dispels myths promulgated by both friends and foes and persuasively traces the conflicting paths that American thinkers indebted to Strauss have taken.”—William Galston, Brookings Institution. (shrink)

Social norms have played a key role in the evolution of human cooperation, serving to stabilize prosocial and egalitarian behavior despite the self-serving motives of individuals. Young children’s behavior mostly conforms to social norms, as they follow adult behavioral directives and instructions. But it turns out that even preschool children also actively enforce social norms on others, often using generic normative language to do so. This behavior is not easily explained by individualistic motives; it is more likely a result of (...) children’s growing identification with their cultural group, which leads to prosocial motives for preserving its ways of doing things. (shrink)

The current essay introduces the guidance theory of representation, according to which the content and intentionality of representations can be accounted for in terms of the way they provide guidance for action. The guidance theory offers a way of fixing representational content that gives the causal and evolutionary history of the subject only an indirect role, and an account of representational error, based on failure of action, that does not rely on any such notions as proper functions, ideal conditions, or (...) normal circumstances. Moreover, because the notion of error is defined in terms of failure of action, the guidance theory meets the “meta-epistemological requirement” that representational error should be potentially detectable by the representing system itself. In this essay, we offer a brief account of the biological origins of representation, a formal characterization of the guidance theory, some examples of its use, and show how the guidance theory handles some traditional problem cases for representation: the representation of fictional and abstract entities. Being both representational and actiongrounded, the guidance theory may provide some common ground between embodied and cognitivist approaches to the study of the mind. (shrink)

We propose that a control system will address the causal dynamics of the neural network that Depue & Collins regard as underlying extraversion. We briefly describe a control system approach and articulate the notion of integration. The integration of goals and regards is achieved by subcortical assessment of reward in the nucleus accumbens and VTA (ventral tegmental area) transmission of this information largely by dopaminergic systems and representation of reward in the MOC (medial orbital cortex). Thus reward information is collected, (...) integrated, and evaluated in the MOC. Such control decisions rely on constraining processes, a functional property of the MOC mediated largely by serotonergic neurons. (shrink)

In the face of mounting criticism against advance directives, we describe how a novel, computer-based decision aid addresses some of these important concerns. This decision aid, Making Your Wishes Known: Planning Your Medical Future , translates an individual's values and goals into a meaningful advance directive that explicitly reflects their healthcare wishes and outlines a plan for how they wish to be treated. It does this by (1) educating users about advance care planning; (2) helping individuals identify, clarify, and prioritize (...) factors that influence their decision-making about future medical conditions; (3) explaining common end-of-life medical conditions and life-sustaining treatment; (4) helping users articulate a coherent set of wishes with regard to advance care planning—in the form of an advance directive readily interpretable by physicians; and (5) helping individuals both choose a spokesperson, and prepare to engage family, friends, and health care providers in discussions about advance care planning. (shrink)

Recent trends in the philosophy of mind and cognitive science can be fruitfully characterized as part of the ongoing attempt to come to grips with the very idea of homo sapiens--an intelligent, evolved, biological agent--and its signature contribution is the emergence of a philosophical anthropology which, contra Descartes and his thinking thing, instead puts doing at the center of human being. Applying this agency-oriented line of thinking to the problem of representation, this paper introduces the Guidance Theory, according to which (...) the content and intentionality of representations can be accounted for in terms of the way they provide guidance for action. We offer a brief account of the motivation for the theory, and a formal characterization. (shrink)

The last decade has experienced a vivid enthusiasm to unravel the mystery of consciousness believed to be one of the major puzzles of human kind. We share this enthusiasm. Still, we feel that current models are incomplete suffering from a problem that we call the “small network argument”.

Der private, sehr gefahrdete Bucherbestand Friedrich Nietzsches gilt als ein besonders interessantes Beispiel einer Schriftstellerbibliothek des 19. Jahrhunderts.

Ethics position theory (EPT) maintains that individuals’ personal moral philosophies influence their judgments, actions, and emotions in ethically intense situations. The theory, when describing these moral viewpoints, stresses two dimensions: idealism (concern for benign outcomes) and relativism (skepticism with regards to inviolate moral principles). Variations in idealism and relativism across countries were examined via a meta-analysis of studies that assessed these two aspects of moral thought using the ethics position questionnaire (EPQ; Forsyth, Journal of Personality and Social Psychology39, 175–184, 1980). (...) This review identified 139 samples drawn from 29 different countries, for a total sample of 30,230 respondents, and concluded that (a) levels of idealism and relativism vary across regions of the world in predictable ways; (b) an exceptionist ethic is more common in Western countries, subjectivism and situationism in Eastern countries, and absolutism and situationism in Middle Eastern countries; and (c) a nation’s ethics position predicted that country’s location on previously documented cultural dimensions, such as individualism and avoidance of uncertainty (Hofstede, Culture’s Consequences: International Differences in Work-Related Values, 1980). Limitations in these methods and concerns about the validity of these cross-cultural conclusions are noted, as are suggestions for further research using the EPQ. (shrink)

Main Response Topics ? Introduction ? Open display and public evaluation ? Publicity versus patient privacy ? Facial tissue donation ? Validity of Louisville Instrument for Risk Acceptance ? Patients' understanding of risk ? Face versus hand transplantation ? Rejection rates/risks ? Patient compliance ? Exit strategy ? Functional recovery ? Societietal implications ? Psychological implications ? Conclusion: Uncertainty likely to persist.