Let M = 〈M, +, <, 0, {λ}λ∈D〉 be an ordered vector space over an ordered division ring D, and G = 〈G, ⊕, eG〉 an n-dimensional group definable in M. We show that if G is definably compact and definably connected with respect to the t-topology, then it is definably isomorphic to a 'definable quotient group' U/L, for some convex V-definable subgroup U of 〈Mⁿ, +〉 and a lattice L of rank n. As two consequences, we derive Pillay's conjecture (...) for a saturated M as above and we show that the o-minimal fundamental group of G is isomorphic to L. (shrink)

We prove that in an arbitrary o-minimal structure, every interpretable group is definably isomorphic to a definable one. We also prove that every definable group lives in a cartesian product of one-dimensional definable group-intervals. We discuss the general open question of elimination of imaginaries in an o-minimal structure.

We prove the Compact Domination Conjecture for groups definable in linear o-minimal structures. Namely, we show that every definably compact group G definable in a saturated linear o-minimal expansion of an ordered group is compactly dominated by (G/G 00, m, π), where m is the Haar measure on G/G 00 and π : G → G/G 00 is the canonical group homomorphism.

In this short note we provide an example of a semi-linear group G which does not admit a semi-linear affine embedding; in other words, there is no semi-linear isomorphism between topological groups f:G→G′Mm, such that the group topology on G′ coincides with the subspace topology induced by Mm.

We prove the following instance of a conjecture stated in [P. E. Eleftheriou and Y. Peterzil, Definable quotients of locally definable groups, Selecta Math. 18 885–903]. Let [Formula: see text] be an abelian semialgebraic group over a real closed field [Formula: see text] and let [Formula: see text] be a semialgebraic subset of [Formula: see text]. Then the group generated by [Formula: see text] contains a generic set and, if connected, it is divisible. More generally, the same result holds (...) when [Formula: see text] is definable in any o-minimal expansion of [Formula: see text] which is elementarily equivalent to [Formula: see text]. We observe that the above statement is equivalent to saying: there exists an [Formula: see text] such that [Formula: see text] is an approximate subgroup of [Formula: see text]. (shrink)

Let $\mathcal{M}$ be an o-minimal expansion of a real closed field $R$. We define the notion of a lattice in a locally definable group and then prove that every connected, definably generated subgroup of $\langle R^{n},+\rangle$ contains a definable generic set and therefore admits a lattice.

Let $\scr{M}=\langle M,+,<,0,S\rangle $ be a linear o-minimal expansion of an ordered group, and $G=\langle G,\oplus ,e_{G}\rangle $ an n-dimensional group definable in $\scr{M}$ . We show that if G is definably connected with respect to the t-topology, then it is definably isomorphic to a definable quotient group U/L, for some convex ${\ssf V}\text{-definable}$ subgroup U of $\langle M^{n},+\rangle $ and a lattice L of rank equal to the dimension of the 'compact part' of G.

We describe a recent program from the study of definable groups in certain o-minimal structures. A central notion of this program is that of a lattice. We propose a definition of a lattice in an arbitrary first-order structure. We then use it to describe, uniformly, various structure theorems for o-minimal groups, each time recovering a lattice that captures some significant invariant of the group at hand. The analysis first goes through a local level, where a pertinent notion of pregeometry and (...) generic elements is each time introduced. (shrink)

Let \ be an expansion of a real closed field \ by a dense subgroup G of \ with the Mann property. We prove that the induced structure on G by \ eliminates imaginaries. As a consequence, every small set X definable in \ can be definably embedded into some \, uniformly in parameters. These results are proved in a more general setting, where \ is an expansion of an o-minimal structure \ by a dense set \, satisfying three tameness (...) conditions. (shrink)

In this paper we define and examine frame constructions for the family of manyvalued modal logics introduced by M. Fitting in the '90s. Every language of this family is built on an underlying space of truth values, a Heyting algebra H. We generalize Fitting's original work by considering complete Heyting algebras as truth spaces and proceed to define a suitable notion of H-indexed families of generated subframes, disjoint unions and bounded morphisms. Then, we provide an algebraic generalization of the canonical (...) extension of a frame and model, and prove a preservation result inspired from Fitting's canonical model argument in [FIT 92a]. The analog of a complex algebra and of a principal ultrafilter is defined and the embedding of a frame into its canonical extension is presented. (shrink)

Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism equation image: equation image→ G is a locally definable covering homomorphism and π1 is isomorphic to the o-minimal fundamental group π of G defined using locally definable covering homomorphisms.

In this note we show: Let R = 〈R, <, +, 0, …〉 be a semi-bounded o-minimal expansion of an ordered group, and G a group definable in R of linear dimension m . Then G is a definable extension of a bounded definable group B by 〈Rm, +〉.

We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.

Are sagging pants cool? Are cows food? Are women more submissive than men? Are blacks more criminal than whites? Taking the social world at face value, many people would be tempted to answer these questions in the affirmative. And if challenged, they can point to facts that support their answers. But there is something wrong about the affirmative answers. In this chapter, I draw on recent ideas in the philosophy of language and metaphysics to show how the assertion of a (...) generic claim of the sort in question ordinarily permits one to infer that the fact in question obtains by virtue of something specifically about the subject so described, i.e., about women, or blacks, or sagging pants. In the examples I’ve offered, however, this implication inference is unwarranted. The facts in question obtain by virtue of broad system of social relations within which the subjects are situated, and are not grounded in intrinsic or dispositional features of the subjects themselves. The background relations are obscured, however, and as a result, the assertion is at least systematically misleading; a denial functions to block the problematic implication. Revealing such implications or presuppositions and blocking them is a crucial part of ideology critique. (shrink)

Though Jana Mohr Lone refers to children’s striving to wonder, to question, to figure out how the world works and where they fit as the “philosophical self,” like its parent discipline, it could be argued that the philosophical self is actually the “parent self,”—the wellspring of all the other aspects of personhood that we traditionally parse out, e.g., the intellectual, moral, social, and emotional selves. If that is the case, then to be blind to “The Philosophical Child,” the latter being (...) the title of Jana Mohr Lone’s book, is, in a sense then, to be blind to the child. Thus, though Mohr Lone says that the subject of her book is to assist parents in supporting the development of children’s philosophical selves, that claim may mask the gift that this lovely book can bring to the parent-child relationship if it is interpreted as helping children to become “smarty pants” in the sense of acquiring esoteric skills to excel in the ivory-tower discipline of academic philosophy. This is not the focus of this book. This is not an invitation to learn about the history of philosophy— about what some wise, usually white, usually men said about the fundamental questions that intrigue all humans. This is not an invitation to memorize and thus to sit in awe of what others think —as is too often the case in university classrooms. This book, rather, is a guide to how to actually philosophize—how to use questions to energetically and courageously make progress toward finding answers that one, through reflection, comes to believe are the best, given the reasons and evidence available. And to the degree that we and our children are successful, we give ourselves and our children the gift of continuously learning to become ever wiser. (shrink)

The present studies examined whether implied tactile properties during language comprehension influence subsequent direct tactile perception, and the specificity of any such effects. Participants read sentences that implicitly conveyed information regarding tactile properties (e.g., Grace tried on a pair of thick corduroy pants while shopping) that were either related or unrelated to fabrics and varied in implied texture (smooth, medium, rough). After reading each sentence, participants then performed an unrelated rating task during which they felt and rated the texture of (...) a presented fabric. Results demonstrated that the texture properties implied in sentences influence direct tactile perception. Specifically, after reading about a smooth or rough texture, subsequent fabric ratings became notably smoother or rougher, respectively. However, we also show that there was some specificity to these effects: Fabric-related sentences elicited more specific and interactive effects on subsequent ratings. Together, we demonstrate that under certain circumstances, language comprehension can prime tactile representations and affect direct tactile perception. Results are discussed with regard to the nature and scope of multimodal mental simulation during reading. (shrink)

In The Form of Truth: Hegel’s Philosophical Logic, Elena Ficara offers a reappraisal of G.W.F. Hegel’s logic within the history of logic and in relation to the logics of today. She brings together...

O argumento da subdeterminação constitui um dos principais argumentos contra o realismo científico. Analiso diversas versões do argumento, e defendo que ele se torna mais plausível quando entendido como um argumento indireto contra o realismo. Tal proposta requer distinguir entre três maneiras principais de formular o argumento da subdeterminação. Na formulação tradicional, o argumento baseia-se na formulação de teorias rivais que sejam empiricamente adequadas à evidência disponível. Na formulação kuhniana, o argumento baseia-se na inexistência de um algoritmo neutro de normas (...) epistêmicas que seja suficiente para determinar a escolha de teorias. Tais formulações do problema da subdeterminação são amplamente rejeitadas enquanto ameaças globais ao realismo científico. Proponho que, alternativamente, a relevância de fatores não epistêmicos poderá ser mais bem apreciada pelo realismo se focarmos no impacto indireto que tais fatores possuem na escolha de teorias, em vez de focarmos no fato de as normas epistêmicas não serem neutras. Com isso, o foco do argumento da subdeterminação deverá ser o de problematizar como fatores do contexto de descoberta influenciam indiretamente a objetividade do processo de justificação das teorias científicas, na medida em que modificam a evidência e hipóteses disponíveis aos cientistas em seu ambiente epistêmico. (shrink)

Is God's foreknowledge compatible with human freedom? One of the most attractive attempts to reconcile the two is the Ockhamistic view, which subscribes not only to human freedom and divine omniscience, but retains our most fundamental intuitions concerning God and time: that the past is immutable, that God exists and acts in time, and that there is no backward causation. In order to achieve all that, Ockhamists distinguish ‘hard facts’ about the past which cannot possibly be altered from ‘soft facts’ (...) about the past which are alterable, and argue that God's prior beliefs about human actions are soft facts about the past. (shrink)

In Greek Late Antiquity philosophy defined itself above all through the interpretation of authoritative texts such as Plato's dialogues or the treatises of Aristotle. This work looks at the last Late Antique commentaries on Aristotle's Physics, the pagan Simplicius and the Christian Philoponus. Golitsis demonstrates how differently the two contemporaries interpreted the philosophical tradition and how this led them to deducedifferent routes to finding the truth.

This study investigates the differences in individuals'' ethical decision making between Canadian university business students and accounting professionals. We examine the differences in three measures known to be important in the ethical decision-making process: ethical awareness, ethical orientation, and intention to perform questionable acts. We tested for differences in these three measures in eight different questionable actions among three groups: students starting business studies, those in their final year of university, and professional accountants.The measures of awareness capture the extent to (...) which respondents felt that a particular action was unethical according to each of several ethical criteria. We found few differences between the two student groups on these measures, suggesting that their education had minimal effect on raising their awareness of the ethical issues in the vignettes. Indeed, overall, the graduating student''s scores were marginally lower than those of the entry-level students. However, the professionals viewed some actions as significantly less ethical than did the graduating students. (shrink)

Whether an individual doctoral study or a large-scale multidisciplinary project, researchers working across cultures face particular challenges around power, identity, and voice, as they encounter ethical dilemmas which extend beyond the micro-level of the researcher-researched relationship. In using a cross-cultural perspective on how to conceptualise research problems, collect data, and disseminate findings in an ethical manner, they also engage with the geopolitics of academic writing, language inequalities, and knowledge construction within a globalised economy. It is increasingly recognised that existing ethical (...) codes and paradigms either do not sufficiently address such issues or tend to be rather restrictive and insensitive to multiple and complex cultural and contextual differences. This book extends our understanding of the ethical issues and dilemmas faced by researchers in comparative and international education. It asks what the relevance of postcolonial theory is for understanding research ethics in comparative and international education; whether Western ethical practices in qualitative social research are incompatible with cultures outside the West; how a ‘situated’ approach can be developed for exploring research ethics across cultures and institutions; and how ‘informed consent’ can be negotiated when the process appears to contradict community values and practices. In sharing experiences from a wide range of cultural and institutional contexts, the authors offer both theoretical resources and practical guidance for conducting research ethically across cultures. This book was originally published as a special issue of _Compare: A Journal of Comparative and International Education. _. (shrink)

An important contribution to the foundations of probability theory, statistics and statistical physics has been made by E. T. Jaynes. The recent publication of his collected works provides an appropriate opportunity to attempt an assessment of this contribution.

Reidenbach and Robin (1988, 1990) proposed and refined a multidimensional ethics scale. This study replicates and extends their work by examining the generalizability of the scale beyond marketing to accounting, and to subjects from across the United States and other countries. Results indicate that, in general, the scale holds for this different sample and context. However, an additional utilitarian construct emerged in the current study as important for accounting academics in their ethical decision-making. We also found that when we refined (...) Reidenbach and Robin's measure of intention to make a particular choice, a social desirability bias or halo effect was identified. Methodological implications for business ethics research are also presented. (shrink)

Name der Zeitschrift: Archiv für Geschichte der Philosophie Jahrgang: 98 Heft: 4 Seiten: 458-473.

É bem conhecida a oposição estabelecida por Kant entre experiência possível e dialética, na medida em que esta última é caracterizada como a “lógica da ilusão”. Ao mesmo tempo, o modo de pensar metafísico, que ocorre dialeticamente, em sentido kantiano, é uma tendência inevitável da razão, expressa na exigência formal de completude das categorias. Como o pensar, enquanto exercício livre da razão, é em si mesmo mais amplo do que a atividade de conhecer, própria do entendimento, o pensar contém o (...) conhecimento, embora este se qualifique pelas regras e pelos limites determinantes da objetividade. A pergunta que tentaremos formular é se essa relação continente-conteúdo não poderia configurar também uma dependência da experiência em relação ao raciocínio dialético, que estaria de algum modo indicada na função reguladora das idéias da razão. Nesse caso, a oposição formal entre conhecer e pensar seria inseparável da inclusão estrutural (dependência) da experiência no âmbito da razão. Na raiz do problema estaria talvez a tensão (dialética) entre a aspiração subjetiva de totalidade e as exigências objetivas de limitação e segmentação da experiência e a forma da experiência teria de ser finalmente concebida a partir de um fundo de inteligibilidade problemática. Dialectics and experienceThe separation of possible experience as objective knowledge and dialetics as a non-objective or non-theoretical knowledge is one of the most important aspects of kantian critical philosophy. But Kant also says that the activity of reason, as a pure thinking, has more amplitude than understanding knowledge. So we could say that theoric knowledge would depend on rational ( and non-theoretical) knowledge, as something contained in it. If we accept that, the consequence would be a relation of dependence between the form of objective knowledge and the background of a problematic – even doubtful – inteligible knowledge. (shrink)