Vector spaces over fields are pseudofinite, and this remains true for vector spaces over division rings that are finite-dimensional over their center. We also construct a division ring such that the nontrivial vector spaces over it are not pseudofinite, using Richard Thompson's group F. The idea behind the construction comes from a first-order axiomatization of the class of division rings all whose nontrivial vector spaces are pseudofinite.

Let T be a complete o-minimal extension of the theory of real closed fields. We characterize the convex hulls of elementary substructures of models of T and show that the residue field of such a convex hull has a natural expansion to a model of T. We give a quantifier elimination relative to T for the theory of pairs (R, V) where $\mathscr{R} \models T$ and V ≠ R is the convex hull of an elementary substructure of R. We deduce (...) that the theory of such pairs is complete and weakly o-minimal. We also give a quantifier elimination relative to T for the theory of pairs (R, N) with R a model of T and N a proper elementary substructure that is Dedekind complete in R. We deduce that the theory of such "tame" pairs is complete. (shrink)

I solve here some problems left open in “T-convexity and Tame Extensions” [9]. Familiarity with [9] is assumed, and I will freely use its notations. In particular,Twill denote a completeo-minimal theory extending RCF, the theory of real closed fields. Let (,V) ⊨Tconvex, let=V/m(V)be the residue field, with residue class mapx↦:V↦, and let υ:→ Γ be the associated valuation. “Definable” will mean “definable with parameters”.The main goal of this article is to determine the structure induced by(,V)on its residue fieldand on its (...) value group Γ. In [9] we expanded the ordered fieldto a model ofTas follows. Take a tame elementary substructure′ ofsuch thatR′ ⊆VandR′maps bijectively ontounder the residue class map, and make this bijection into an isomorphism′ ≌ofT-models. (We showed such′ exists, and that this gives an expansion ofto aT-model that is independent of the choice of′.). (shrink)

I solve here some problems left open in “T-convexity and Tame Extensions” [9]. Familiarity with [9] is assumed, and I will freely use its notations. In particular,Twill denote a completeo-minimal theory extending RCF, the theory of real closed fields. Let (,V) ⊨Tconvex, let=V/m(V)be the residue field, with residue class mapx↦:V↦, and let υ:→ Γ be the associated valuation. “Definable” will mean “definable with parameters”.The main goal of this article is to determine the structure induced by(,V)on its residue fieldand on its (...) value group Γ. In [9] we expanded the ordered fieldto a model ofTas follows. Take a tame elementary substructure′ ofsuch thatR′ ⊆VandR′maps bijectively ontounder the residue class map, and make this bijection into an isomorphism′ ≌ofT-models. (We showed such′ exists, and that this gives an expansion ofto aT-model that is independent of the choice of′.). (shrink)

We extend the field of Laurent series over the reals in a canonical way to an ordered differential field of “logarithmic-exponential series” , which is equipped with a well behaved exponentiation. We show that the LE-series with derivative 0 are exactly the real constants, and we invert operators to show that each LE-series has a formal integral. We give evidence for the conjecture that the field of LE-series is a universal domain for ordered differential algebra in Hardy fields. We define (...) composition of LE-series and establish its basic properties, including the existence of compositional inverses. Various interesting subfields of the field of LE-series are also considered. (shrink)

The Euclidean algorithm on the natural numbers ℕ = {0,1,…} can be specified succinctly by the recursive programwhere rem is the remainder in the division of a by b, the unique natural number r such that for some natural number q,It is an algorithm from the remainder function rem, meaning that in computing its time complexity function cε, we assume that the values rem are provided on demand by some “oracle” in one “time unit”. It is easy to prove thatMuch (...) more is known about cε, but this simple-to-prove upper bound suggests the proper formulation of the Euclidean's optimality among its peers—algorithms from rem:Conjecture. If an algorithm α computes gcd from rem with time complexity cα, then there is a rational number r > 0 such that for infinitely many pairs a > b > 1, cα > r log2a. (shrink)

Van den Dries, L. and J. Holly, Quantifier elimination for modules with scalar variables, Annals of Pure and Applied Logic 57 161–179. We consider modules as two-sorted structures with scalar variables ranging over the ring. We show that each formula in which all scalar variables are free is equivalent to a formula of a very simple form, uniformly and effectively for all torsion-free modules over gcd domains . For the case of Presburger arithmetic with scalar variables the result takes a (...) still simpler form, and we derive in this way the polynomial-time decidability of the sets defined by such formulas. (shrink)

Related Works: Original Paper: Lou Van Den Dries. $T$-Convexity and Tame Extensions II. J. Symbolic Logic, Volume 62, Issue 1 , 14--34. Project Euclid: euclid.jsl/1183745182.

For any group satisfying a suitable chain condition, we construct a finitely additive measure on it that is invariant under certain actions.

The differential field of transseries extends the field of real Laurent series and occurs in various contexts: asymptotic expansions, analytic vector fields, and o-minimal structures, to name a few. We give an overview of the algebraic and model-theoretic aspects of this differential field and report on our efforts to understand its elementary theory.

We defend in this essay Paul Ricœur’s hermeneutics of suspicion against Toril Moi’s debunking of it as a misguided interpretation of the practice of critical inquiry, and we relate the practice of a rigorous and critical empathy to the hermeneutics of suspicion. For Ricœur, empathy would not be a mere psychological mechanism by which one subject transiently identifies with another, but the ontological presence of the self with the Other as a way of being —listening as a human action that (...) is a fundamental way of being with the Other in which “hermeneutics can stand on the authority of the resources of past ontologies.” In a rational reconstruction of what a Ricœur-friendly approach to empathy would entail, a logical space can be made for empathy to avoid the epistemological paradoxes of Husserl and the ethical enthusiasms of Levinas. How this reconstruction of empathy would apply to empathic understanding, empathic responsiveness, empathic interpretation, and empathic receptivity is elaborated from a Ricœurian perspective. (shrink)

ABSTRACT‘Sports and politics don’t mix’. This platitude has been a pervasive part of U.S. professional sport culture, but it is vague and most of the versions are untrue since politics have been, and must be, a part of professional sports. Its only plausible meaning is that professional players should not make political statements while they are on-the-job. Players have a constitutional right to make political statements outside the workplace, but this right does not apply in privately owned sport associations. I (...) argue that player political protest has ultimately been moral, not political, in nature and that players’ on-the-job political expression can be justified based on the priority of the moral-legal concept of personhood. I propose player political expression policies that U.S. professional associations should adopt. (shrink)

This study examines public health nurses’ perceptions and concerns about the implications of Japan’s new long-term care insurance law concerning care provision for elderly people and their families. Respondents voiced their primary concern about this law as access to services for all elderly people needing care, and defined their major responsibility as strengthening health promotion and illness prevention programmes. Although wanting to expand their roles to meet the health care, social and public policy advocacy needs of elderly persons and their (...) families, respondents also stated their concern for the possible lack of enough resources for this expansion to support family caregivers adequately. They viewed their first function as developing collaborative relationships with local government officials to help to assure sufficient resources to provide the necessary foundation for long-term care programmes to deliver services to all those in need. These concerns fall within the larger ethical issue of distributive justice in a society based on the obligations of the state to citizens and the family to its members, especially elderly relatives, who, according to traditional Japanese values, retain respect. (shrink)

Life of Philo -- Philo and his time -- The Bible at Alexandria -- Philo's exegesis -- Philo's theology -- Philo's spirituality -- Philo and the New Testament.

Research with Children is a unique resource book on the methodology of childhood research. Leading and new researchers within the social studies of childhood discuss central questions of epistemology and methodology, demonstrating the links between theory and practice. The theoretical and practical questions are set out in a clear and well-argued fashion and will therefore appeal both to the newcomer to childhood studies and to experienced researchers in the field.

This article takes Heidegger's design distinctions for human being [Dasein] including affectivity, understanding, and speech, and, using these distinctions, generates a Heideggerian definition of empathy [Einfuehlung]. This article distinguishes empathic receptivity, empathic understanding, empathic interpretation, and empathic speech (or responsiveness). It also looks at characteristic breakdowns.

本书共十章。主要章目:形式美在思想教育中的功能,用美的形态陶冶军人情操,建立思想政治工作和谐的审美关系、美学与两个文明建设。.

Conversation 1: waking up to our inner strength -- Conversation 2: family education and parental recollections -- Conversation 3: philosophy and the will to encourage -- Conversation 4: a life of robust optimism -- Conversation 5: start from our shared humanity -- Conversation 6: like the light of the sun -- Conversation 7: healing as the restoration of wholeness -- Conversation 8: healing individual and social wounds -- Conversation 9: the healing power of dialogue -- Conversation 10: dialogue of peace (...) and humanism -- Conversation 11: philosophic wisdom; humanity's great treasure -- Conversation 12: epoch-creating philosophy -- Conversation 13: the quest of art and the mentor-disciple bond -- Conversation 14: views of life and death -- Conversation 15: women, builders of the peace culture -- Conversation 16: the human revolution: the philosophy of global citizenry. (shrink)

Combining textual, visual, and ethnographic approaches to discourse, this article examines a variety of resources employed in the narrative construction of Washington, DC’s Chinatown in a billboard advertisement that de-ethnicizes the neighborhood. Analysis of the linguistic resources of narrative structure, comparative reference, and lexical cohesion reveals how the gentrification of Chinatown is constructed as a positive transformation driven by a corporation. Further, the visual juxtaposition of text with photos and graphics appropriates the community voice and infuses it with corporate identity. (...) This ideological multimodal construction of the transformation of Chinatown is finally actualized in its durable material form and strategic spatial emplacement. Incorporating ethnographic observation and an interview, this article illustrates how the symbolic power of narrative in place-making is interdependent on the economic power of its producer to propagate ideological discourse in the material world. (shrink)

The distinction between “empathy” and “sympathy” in the context of ethics is a dynamic and challenging one. The eighteenth century texts of David Hume and Adam Smith used the word "sympathy," but not "empathy," although the conceptual distinction marked by empathy was doing essential work in their writings. After discussing the early uses of these terms, this article is organized historically. Two traditions are distinguished. The first is the Anglo-American tradition, and it extends from Hume and Smith to the twenty-first (...) century work of Michael Slote. Stephen Darwall’s contribution is applied in engaging Hume and Smith. Finally, the interrelation of empathy, sympathy and altruism is explored in the work of John Rawls and Thomas Nagel. The second tradition is the Continental one. It extends from the spirituality of Johann Herder to the phenomenological movement of Edmund Husserl, Martin Heidegger, Max Scheler, and Edith Stein. The intentional analysis of empathy is directly relevant to the constitution of the social community in a broad, normative relationship with the "Other.". (shrink)

Heidegger famously said that the best treatment of the emotions in western history was Book 2 of Aristotle's RHETORIC. Heidegger then did an analysis of this material prior to the publication of Being and TIme (1927). This engages engages with Heidegger's treatment of Aristotle's treatment of the emotions in relation to Heidegger's design distinction of affectivity (Befindlichkeit), understanding, and discourse (Rede).

This work presents a conception of Hume's overall philosophical stance which is derived from a focus on his Dialogues Concerning Natural Religion and The Natural History of Religion. A broad context is provided by frequent references to A Treatise of Human Nature and to An Enquiry Concerning Human Understanding as well as to other relevant essays and letters written by Hume. Religious Naturalism is a complex tapestry woven of aesthetic, ethical, epistemological and metaphysical elements. The religious element in Hume's writings, (...) which some commentators see as a transcendent position, is interpreted as an immanentist religiosity akin to that of Spinoza and Einstein. Hume's three "strong natural beliefs" in "self", objects and causality, come together as a metaphysical faith in the ultimate reality of a shared cosmos. Hume's aesthetic response is expressed as a sense of the sublimity of the cosmos even in the midst of skeptical doubt. In Hume's religious naturalism his epistemological skepticism casts doubt on and tempers his metaphysical faith. It is shown that Hume's overriding ethical concern was to further the happiness of humanity by replacing the "pernicious superstition" of supernaturalism with an immanentist position which affirms the inexplicable presence of an eternal cosmos. This position is what is here termed Religious Naturalism. (shrink)

"My plan in this book," writes Father Danielou, the eminent French theologian, "is not to record what I say of God, but what God has said of Himselfà to place religions and philosophies, the Old Testament and the New, theology and mysticism, in their proper relationship with the knowledge of God." God and the Ways of Knowing is a classic work of theology and spirituality that presents a subtle and penetrating interpretation of the ways by which man comes to the (...) knowledge of Godùeach form of knowledge carrying him both higher and deeper. (shrink)

Comme un arbre refleurit, tout renouveau intellectuel ou spirituel puise sa sève dans les racines de son passé. C'est ce dont témoigne cet essai publié en 1957, à la veille du concile Vatican II. Philon est, en effet, un juif imprégné de philosophie grecque, bon représentant du milieu culturel si riche de la ville d'Alexandrie, au tournant de notre ère. Contemporain du Christ sans l'avoir connu, il appartient à un judaïsme très ouvert qui a déjà traduit la Bible en grec (...) deux siècles auparavant. Il a profondément influencé la littérature chrétienne des premiers siècles et reste un exemple et un espoir de rencontre entre ces deux cultures et ces deux religions. Nul plus que Jean Daniélou, lui-même si cultivé et si ouvert, ne pouvait mieux faire revivre cette personnalité attachante et exceptionnelle. (shrink)