As a subspecies of the climate justice debate, a compelling moral case can be made that actors should receive their fair share of benefits and burdens, and more specifically, that those who benefit from the provision of public goods ought, under some circumstances, to share in the costs of their provision. The climate justice debate has paid relatively scant attention, however, to the possible adverse side-effects of climate mitigation mechanisms. The article reviews such global public goods-protecting techniques as compensation payments (...) for keeping rainforests intact, and climate engineering, for their adverse impact on human rights and biodiversity. Espousing a consequentialist ethical perspective, it calls for increased vigilance in institutionally designing and implementing climate change mitigation mechanisms, however well-intentioned these may be. (shrink)

Most syntacticians, no matter their theoretical persuasion, agree that features are the most important units of analysis. Within Chomskyan generative grammar, the importance of features has grown steadily and within minimalism, it can be said that everything depends on features. They are obstacles in any interdisciplinary investigation concerning the nature of language and it is hard to imagine a syntactic description that does not explore them. For the first time, this book turns grammar upside down and proposes a new model (...) of syntax that is better suited for interdisciplinary interactions, and shows how syntax can proceed free of lexical influence. The empirical domain examined is vast, and all the fundamental units and properties of syntax are rethought. Opening up new avenues of investigation, this book will be invaluable to researchers and students in syntactic theory, and linguistics more broadly. (shrink)

Although stakeholder theory is concerned with stakeholder engagement, substantive operational barometers of engagement are lacking in the literature. This theoretical paper attempts to strengthen the accountability aspect of normative stakeholder theory with a more robust notion of stakeholder engagement derived from the concept of good faith. Specifically, it draws from the labor relations field to argue that altered power dynamics are essential underpinnings of a viable stakeholder engagement mechanism. After describing the tenets of substantive engagement, the paper draws from the (...) labor relations and commercial law literatures to describe the characteristics of good faith as dialogue, negotiation, transparency, and totality of conduct; explains how they can be adapted and applied to the stakeholder context; and suggests the use of mediation and non-binding arbitration. The paper concludes by addressing anticipated objections and shortcomings and discussing implications for theory and research. (shrink)

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

We analyse the computational complexity of comparing informational structures. Intuitively, we study the complexity of deciding queries such as the following: Is Alice’s epistemic information strictly coarser than Bob’s? Do Alice and Bob have the same knowledge about each other’s knowledge? Is it possible to manipulate Alice in a way that she will have the same beliefs as Bob? The results show that these problems lie on both sides of the border between tractability (P) and intractability (NP-hard). In particular, we (...) investigate the impact of assuming information structures to be partition-based (rather than arbitrary relational structures) on the complexity of various problems. We focus on the tractability of concrete epistemic tasks and not on epistemic logics describing them. (shrink)

Researchers in the business and society area have yet to address corporations that receive special government subsidies (a.k.a. corporate welfare). This article makes the argument that given their subsidized status, the citizenship of those companieswarrants scrutiny, tests the common notion that large companies in particular industries derive the greatest benefit from corporate welfare, and determines what, if any, relationship corporate welfare has with corporate citizenship. Results show that large companies in particular industries are the most likely recipients of corporate welfare. (...) In addition, corporations that receive corporate welfare demonstrate levels of corporate citizenship, which, after controlling for size, are not significantly different from companies that receive no such subsidies. (shrink)

Cedric Boeckx focuses on two core components of grammar: phrase structure and locality.

The Minimalist Program for linguistic theory is Noam Chomsky's boldest and most radical version of his naturalistic approach to language. Cedric Boeckz examines its foundations, explains its underlying philosophy, exemplifies its methods, and considers the significance of its empirical results. He explores the roots and antecedents of the Program and shows how its methodologies parallel those of sciences such as physics and biology. He disentangles and clarifies current debates and issues around the nature of minimalist research in linguistics and (...) shows how the aims and ambitions of the Minimalist Program lie at the centre of the enterprise to understand how the human language faculty operates in the mind and is manifested in the world's languages.Professor Boeckx writes for advanced and graduate students of linguistics and for all those, in fields such as cognitive science and evolutionary biology, who want to know more about current developments in theoretical linguistics. (shrink)

Figurative drawing is a skill that takes time to learn, and it evolves during different childhood phases that begin with scribbling and end with representational drawing. Between these phases, it is difficult to assess when and how children demonstrate intentions and representativeness in their drawings. The marks produced are increasingly goal-oriented and efficient as the child’s skills progress from scribbles to figurative drawings. Pre-figurative activities provide an opportunity to focus on drawing processes. We applied fourteen metrics to two different datasets (...) (_N_ = 65 and _N_ = 344) to better understand the intentional and representational processes behind drawing, and combined these metrics using principal component analysis (PCA) in different biologically significant dimensions. Three dimensions were identified: efficiency based on spatial metrics, diversity with color metrics, and temporal sequentiality. The metrics at play in each dimension are similar for both datasets, and PCA explains 77% of the variance in both datasets. Gender had no effect, but age influenced all three dimensions differently. These analyses for instance differentiate scribbles by children from those drawn by adults. The three dimensions highlighted by this study provide a better understanding of the emergence of intentions and representativeness in drawings. We discussed the perspectives of such findings in comparative psychology and evolutionary anthropology. (shrink)

This article argues that the concept of deliberation is construed too narrowly in political corporate social responsibility (CSR) and that a concept of deliberation for political CSR should err toward useful speech acts rather than reciprocity and charity. It draws from the political philosophy, labor relations, and business ethics literatures to outline a framework for an extended notion of deliberative engagement. The characters of deliberative behavior and deliberative environment are held to generate four modes of engagement: strategic deliberation, unitarist deliberation, (...) pluralist deliberation, and deliberative activism. The article concludes by arguing that political CSR will be better positioned to realize its potential by moving away from primarily consensus-centered objectives to a more responsive range of deliberative goals and practice. (shrink)

Paleoneuranatomy is an emerging subfield of paleontological research with great potential for the study of evolution. However, the interpretation of fossilized nervous tissues is a difficult task and presently lacks a rigorous methodology. We critically review here cases of neural tissue preservation reported in Cambrian arthropods, following a set of fundamental paleontological criteria for their recognition. These criteria are based on a variety of taphonomic parameters and account for morphoanatomical complexity. Application of these criteria shows that firm evidence for fossilized (...) nervous tissues is less abundant and detailed than previously reported, and we synthesize here evidence that has stronger support. We argue that the vascular system, and in particular its lacunae, may be central to the understanding of many of the fossilized peri‐intestinal features known across Cambrian arthropods. In conclusion, our results suggest the need for caution in the interpretation of evidence for fossilized neural tissue, which will increase the accuracy of evolutionary scenarios. Also see the video abstract here: https://youtu.be/2_JlQepRTb0. (shrink)

The authors present the preliminary publication of seven hitherto unpublished inscriptions from the Roman colony at Philippi in the province of Macedonia. These inscriptions make known a number of new notables who were active in the colony during the 1st and 2nd centuries AD. Amongst them is a soldier from Philippi who had pursued a career in the cohortes vigilae in Rome, as well as several municipal magistrates and seviri augusti from Philippi. All the inscriptions connected with the institutions of (...) the colony, and also those mentioning members of the senatorial and equestrian orders and soldiers, will shortly be included in the first volume of the Corpus of Greek and Latin Inscriptions of Philippi. The assembling of the epigraphic material relating to the municipal and imperial administration of Philippi, enriched by numerous unpublished inscriptions, will enable us to renew our acquaintance with the social and political structures of the colony. (shrink)

Although the popular referendum is part of Italy's 1948 constitution, the political parties in power delayed for more than 20 years putting it info practice. It was finally institutionalized in 1970 and has met on various occasions with caution or hostility from the political parties.Succeeding in mobilizing public opinion, shaking the political parties and speeding up the legislative process, the referendum disappointed in several respects. Especially the permanent conflict with parliament through the action of the radical party led to negativism (...) on its behalf. (shrink)

Identifying genomic homology within and between genomes is essential when studying genome evolution. In the past years, different computational techniques have been developed to detect homology even when the actual similarity between homologous segments is low. Depending on the strategy used, these methods search for pairs of chromosomal segments between which either both gene content and order are conserved or gene content only. However, due to fact that, after their divergence, homologous segments can lose a different set of genes, these (...) methods still often fail to detect genomic homology. Recently, more advanced approaches have been developed that can combine gene order and content information of multiple genomic segments. BioEssays 26:1225–1235, 2004. © 2004 Wiley Periodicals, Inc. (shrink)

La 4e de couverture indique: "Une synthèse paradoxale s'opère en France, au tournant du XXe siècle, entre les notions de liberté et de convention, de création et d'accord. En partant de la tension critique qui accompagne l'introduction du concept poincaréen de convention en mathématiques et en physique, Cédric Chandelier montre comment se forme un nouveau positivisme. La crise de la conscience née des transformations de la science a le caractère structurel d'un état qui se prolonge à travers la philosophie bachelardienne, (...) et jusqu'à la récente tentative de conciliation entre l'épistémologie historique et la tradition analytique. La thèse défendue est que le positivisme a survécu à sa remise en cause au nom de la liberté. En revenant aux origines du conventionnalisme, l'auteur soutient qu'il est cependant possible de mesurer la dimension cosmique de l'action réflexive de la conscience.". (shrink)

In 2013, Bennett proposed a mereological theory in which the parthood relation is defined on the basis of two primitive relations: a is a part of b iff a fills a slot owned by b. However, this theory has issues counting how many parts an entity has. We explore the various counting problems and propose a new theory to solve them. Keeping the core idea of Bennett’s slots, this theory introduces mereological relations between slots. This theory enables us to solve (...) all known counting problems and to go beyond the limits of Bennett’s theory by theorising expected features of mereological theories: supplementation principles and mereological sum and fusion. The theory is illustrated on ontological issues on the nature of structural universals and informational entities. (shrink)

ABSTRACT:This paper argues that, although stakeholder engagement occurs within the context of power, neither market-centered CSR nor the deliberative model of political CSR adequately addresses the specter of power asymmetries and the inevitability of conflict in stakeholder relations, particularly for powerless stakeholders. Noting that the objective of stakeholder engagement should not be benevolence toward stakeholders, but mechanisms that address power asymmetries such that stakeholders are able to protect their own interests, I present a framework of stakeholder engagement based on agonistic (...) pluralism that seeks to structure and utilize discord rather than reduce or eliminate it. I then propose arbitration as an agonistic mechanism to address power asymmetries in stakeholder engagement and explore its implications. (shrink)

Major depression is associated with a decrease of 1st person visual perspective in autobiographical memory, even after full remission. This study aimed to examine visual perspective in healthy never-depressed subjects presenting with either genetic or psychological vulnerability for depression. Sixty healthy participants performed the Autobiographical Memory Test with an assessment of visual perspective. Genetic vulnerability was defined by the presence of at least one S or LG allele of the polymorphism of the serotonin-transporter-linked promoter region . Psychological vulnerability was defined (...) by high scores of harm avoidance measured by the Temperament and Character Inventory. Life stress exposure, depressive mood, rumination, and familial history of depression were assessed through standardized procedures. Visual perspective for positive memories was independently predicted by both harm avoidance and a gene by environment interaction between the 5-HTTLPR polymorphism and life stress exposure. Visual perspective and vulnerability for depression may share some biological bases. (shrink)

The role intellectual virtues play in scientific inquiry has raised significant discussions in the recent literature. A number of authors have recently explored the link between virtue epistemology and philosophy of science with the aim to show whether epistemic virtues can contribute to the resolution of the problem of theory choice. This paper analyses how intellectual virtues can be beneficial for successful resolution of theory choice. We explore the role of virtues as well as vices in scientific inquiry and their (...) beneficial effects in the context of theory choice. We argue that vices can play a role in widening the set of potential candidate theories and support our claim with historical examples and normative arguments from formal social epistemology. We argue that even though virtues appear to be neither necessary nor sufficient for scientific success, they have a positive effect because they accelerate successful convergence amongst scientists in theory choice situations. (shrink)

Racial injustice in employment demands the attention of business organizations because it profoundly shapes our life prospects. While comparing the ideal of perfectly equal opportunity with its invariably imperfect alternatives can impede reform, the true challenge lies in addressing persistent inequities as we strive for equality. This article introduces “shared inequity” as a frame of reference for assessing workplace racial disparities and emphasizing a collective responsibility to remedy systemic issues. In critiquing an exaggerated notion of meritocracy, I emphasize that structural (...) racism, rather than just individual acts, facilitates collective advantages, especially for White males. Hence, it is morally fitting to frame racial justice in employment, not only in terms of perfect equality, but also in terms of justly sharing an imbalance that cannot be corrected without counterbalance. The “shared inequity” lens offers a more realistic and just approach to pursuing racial justice in the workplace. (shrink)

This paper introduces Agreement Theorems to dynamic-epistemic logic. We show first that common belief of posteriors is sufficient for agreement in epistemic-plausibility models, under common and well-founded priors. We do not restrict ourselves to the finite case, showing that in countable structures the results hold if and only if the underlying plausibility ordering is well-founded. We then show that neither well-foundedness nor common priors are expressible in the language commonly used to describe and reason about epistemic-plausibility models. The static agreement (...) result is, however, finitely derivable in an extended modal logic. We provide the full derivation. We finally consider dynamic agreement results. We show they have a counterpart in epistemic-plausibility models, and provide a new form of agreements via public announcements. (shrink)

This article revisits an historic exchange between two black ex-communists, Harold Cruse and Harry Haywood, a debate that prefigured many of the central contradictions of the black-power era. Their exchange followed Cruse’s influential 1962 essay forStudies on the Left, ‘Revolutionary Nationalism and the Afro-American’, which declared that the American Negro was a ‘subject of domestic colonialism’. Written against the prevailing liberal integrationist commitments of the civil-rights movement, his essay called for black economic and political independence, and inspired many of the (...) younger activists who would give birth to the black-power movement. In a series of essays for the Bay Area black radical journalSoulbook, Haywood criticised Cruse’s mishandling of class politics among blacks, and his retreat from anti-capitalism. This forgotten episode is important on its own terms, for what it says about the character and limitations of left-political thinking during the sixties, and equally for understanding and contesting those commonsensical notions of African-American public life in our times which too often remain rooted in the vanished social context and political realities of the twentieth-century racial ghetto. (shrink)

A theory of planned behavior framework was employed to investigate the impact of corporate social responsibility perceptions on the job choice intentions of American, Chinese, and Lebanese college students. Attitudes toward CSR, subjective norm, and perceived behavioral control explained moderate levels of the variance in job choice intention in all three countries. Attitudes toward CSR, which entailed individual evaluations of CSR, were positively related to job choice intentions among Lebanese and American respondents, but not Chinese respondents. Subjective norm, the importance (...) accorded the views of significant others, was most strongly related to job choice intentions among Chinese respondents. Perceived behavioral control, the perceived degree of control over one’s actions and outcomes, had the strongest relationship to job choice intentions among American respondents. The authors concluded that respondents in the three countries did not differ in the extent to which they intend to work for socially responsible firms but tended to derive their intentions in different ways. Implications for tailoring CSR and recruitment efforts across countries are derived based on the findings. (shrink)

Ordinary common knowledge is formally expressed by strong probabilistic common belief. How strong exactly? The question can be answered by drawing from the similar equivalence, recently explored, between plain and probabilistic individual beliefs. I argue that such a move entails that common knowledge displays a double fragility: as a description of a collective state and as a phenomenon, because it can respectively disappear as group size increases, or more worryingly as the epistemic context changes. I argue that despite this latter (...) fragility, the effects of common knowledge on action are robust. Unfortunately, this in turn leads to a third fragility, that of the concept of common knowledge, which threatens to collapse on probabilistic common belief. This also reveals a disanalogy between the individual and the collective cases. I finally pinpoint the subtle difference entailed by the two concepts, expressed in terms of the attitude towards contrary evidence or of the agents’ awareness. As a result, common knowledge can be defended as a concept, which refers to a fragile yet distinct collective attitude. (shrink)

Οι πρώτοι λογαριασμοί του ιερού τον Απόλλωνα στο Δήλων και οι πανβοιωτικοί αγώνες των Δηλίων Μια στήλη από ασβεστόλιθο, που φέρει τρεις επιγραφές και ανακαλύφθηκε το 1992 στο Δήλεσι της ανατολικής Βοιωτίας, περιέχει τους πρώτους λογαριασμούς του ιερού του Δηλίου Απόλλωνα, που βρίσκεται στην επικράτεια της πόλεως της Τανάγρας. Η κύρια και καλύτερα διατηρημένη επιγραφή, που χαράχθηκε στην πρόσθια όψη της πέτρας, είναι ένα αντίγραφο της απόδοσης των λογαριασμών στο τέλος της θητείας ενός αγωνοθέτη, ο οποίος ήταν υπεύθυνος για τη (...) διοργάνωση των Δηλίων, του καλλιτεχνικού και αθλητικού διαγωνισμού ολόκληρης της Βοιωτίας προς τιμήν του Απόλλωνα. Η επιγραφή αυτή, η οποία χρονολογείται στις τελευταίες δεκαετίες του 2ου αι. π.Χ., μας πληροφορεί επίσης για την κυκλοφορία των νομισμάτων στη Βοιωτία εκείνη την εποχή, καθώς και για τις σχέσεις μεταξύ των πόλεων της Βοιωτίας μετά τη διάλυση της πολιτικής και στρατιωτικής συμπολιτείας το 172/1 και την επανίδρυσή της με άλλη μορφή τη δεκαετία του 140 π.Χ. (shrink)

An intellectual biography of Don Isaac ben Judah Abravanel, a 15th century Portuguese rabbi, scholar, Bible commentator, philosopher, and statesman.

The United Kingdom case R v Lee EWCA Crim 1404 resulted in a pharmacist being convicted for an inadvertent dispensing error and paved way for the decriminalisation of such errors by way of a due diligence defence enacted in 2018. In relation to Hong Kong, what is its legal position for dispensing errors, and can it follow the decriminalising steps of UK? The primary objective of this paper is to explore whether and how HK can reach the normative position for (...) a dispensing error legal regime: I posit that the normative position for healthcare professional liability for dispensing errors should prioritise the public interest of minimisation of future dispensing errors over the retribution of past wrongs; I illustrate HK’s current position for the liabilities of HCPs on dispensing errors, focusing analysis on the relatively controversial aspects of HK’s criminal liability, referencing the landmark cases Hin Lin Yee v HKSAR 13 HKCFAR 142 and Kulemesin v HKSAR 16 HKCFAR 195 to assist my analysis of the requisite mental element for relevant statutory offences; through comparison with UK’s development post-R v Lee and application of Rule of Law principles, HK’s current position is critiqued, coming to the conclusion that while there are compelling reasons for the decriminalisation of dispensing errors in HK, the prerequisite for this to happen is an overhaul of regulatory frameworks by significantly increasing levels of accountability. (shrink)

Defined and formalized several decades ago, widely used in philosophy and game theory, the concept of common knowledge is still considered as problematic, although not always for the right reasons. I suggest that the epistemic status of a group of human agents in a state of common knowledge has not been thoroughly analyzed. In particular, every existing account of common knowledge, whether formal or not, is either too strong to fit cognitively limited individuals, or too weak to adequately describe their (...) state. I provide a realistic definition of common knowledge, based on a formalization of David Lewis’ seminal account and show that it is formally equivalent to probabilistic common belief. This leads to a philosophical analysis of common knowledge which answers several common criticisms and sheds light on its nature. (shrink)

There exist many competing philosophical definitions of joint action and no clear criteria to decide between them; so far the search for definitions has by and large been a semantical enterprise rather than an empirical one. This chapter describes and assesses several constraints that could help converge towards a set of necessary and sufficient conditions for joint action. The tightness constraint favours definitions that fit joint actions in which the links between agents are as relaxed as possible, so as to (...) better pinpoint the conceptual core of jointness. The developmental constraint asks for definitions based on realistic psychological states that could be entertained by agents less cognitively developed than ideal human beings. The motor constraint holds that definitions should refer to psychological mechanisms involved in actual human coordination. These first three constraints are discussed and dismissed, mainly because they manage to establish vague limits at best (for various reasons). I then introduce a fourth one, the efficiency constraint, based on the fact that most of our joint actions are generally successful, and according to which definitions should involve conditions that help justify this success. Finally, the rational and evolutionary versions of the efficiency constraint are examined and defended against objections. (shrink)

Institutional and resource dependency theories are used to develop a conceptual framework that describes how an “issue pacesetter” affects corporate issue management. The pacesetter model is developed in the following steps: changed stakeholder expectations, pacesetter emergence, heightened attention and pressure, decision making under pressure, and implementation and compliance. The model is then applied to analyze the confrontation between the mainline pharmaceutical industry and AIDS activists and stakeholders over access to AIDS medications in Africa. Analysis of this confrontation demonstrates that issue (...) pacesetters increased the effectiveness of stakeholders in placing institutional pressure on the pharmaceutical industry and contributed to the industry changing its regulations regarding access to AIDS drugs. (shrink)

The paper argues that an ethical firm has cause to realize and to respect, in good faith, the decision of workers regarding labor unions, and proceeds along the following lines. First, the employer is due appropriate deference the bounds of which should be determined in conjunction with employees, as they are the most closely affected party. Second, employee preferences for defining the employment relation and appropriate deference are best reflected through autonomous voice. Third, autonomous voice is assured by the right (...) to free association and generally achieved through labor unions. Fourth, because employment is so important to a dignified existence, an economically just system of employment requires respect for workers’ choice regarding labor unions. And fifth, there are concerns and contradictions that arise from labor union operations, but they do not justify impeding a morally valid prerogative. (shrink)

Over the last three decades, joint action has received various definitions, which for all their differences share many features. However, they cannot fit some perplexing cases of weak joint action, such as demonstrations, where agents rely on distinct epistemic sources, and as a result, have no first-hand knowledge about each other. I argue that one major reason why the definition of such collective actions is akin to the classical ones is that it crucially relies on the concept of common knowledge. (...) To this end, I first argue for the necessity of common knowledge for joint action in general due to the increased reliability of success it entails. I then defend the relevance of common knowledge against several criticisms, point at an adequate weakening, and discuss alternative approaches. Although structurally weaker, the common knowledge has a richer content in weak joint actions. As a result, even if the links between individuals are seriously stretched, much is still shared among them. Weak joint actions still require considerable cognitive abilities indeed. (shrink)

Some researchers have argued that firms with favorable environmental performance are more likely to provide voluntary environmental disclosure, while others have argued that firms with poor environmental performance are most likely to disclose. The authors propose a curvilinear relation between environmental performance and environmental disclosure that is moderated by visibility. Data were obtained from S&P 500 firms queried by the Ceres’ Climate Disclosure Project. Results show a U-shaped environmental performance–environmental disclosure relation and a main effect for visibility, but no moderating (...) effect for visibility on the U-shaped environmental performance–environmental disclosure rela- tion. The authors discussed the implications of these results for future research and practice. (shrink)

Leopold Kronecker constructs in two articles published in 1869 and 1878, a theory which has its roots in Sturm’s work on the determination of the number of real solutions of an equation. The presentation of this theory of characteristics by Émile Picard will give rise to a controversy between the two mathematicians, who claimed the fame for a formula giving the number of solutions of certain systems of several equations. In this article, after an overview of the theory of characteristics, (...) we will show how, through this dispute, it is actually the way these two mathematicians approach mathematics that is at stake. (shrink)

The divest movement has focused attention on strategic and ethical differences in the practice of socially responsible investing and highlighted an unnecessary bifurcation of best-of-class engagement and divestment. Although best-of-class engagement is favored as a contemporary and pragmatic approach, this paper calls for a more pronounced recognition of absolute dealbreakers and divestment as an underpinning for best-of-class engagement. After linking divestment and best-of-class engagement to their foundations of absolutism and relativism, respectively, I critique best-of-class engagement and argue that without a (...) distinct and explicit role for divestment, best-of-class strategies are ethically and strategically fraught. Following a discussion of which types of issues suggest divestment or best-of-class engagement, I identify the Norway Government Pension Fund as a noteworthy example, and posit that divestment and engagement are best presented and employed in tandem, particularly for issues that have yet to be addressed by law and convention. (shrink)

Formal learning theory constitutes an attempt to describe and explain the phenomenon of learning, in particular of language acquisition. The considerations in this domain are also applicable in philosophy of science, where it can be interpreted as a description of the process of scientific inquiry. The theory focuses on various properties of the process of hypothesis change over time. Treating conjectures as informational states, we link the process of conjecture-change to epistemic update. We reconstruct and analyze the temporal aspect of (...) learning in the context of dynamic and temporal logics of epistemic change. We first introduce the basic formal notions of learning theory and basic epistemic logic. We provide a translation of the components of learning scenarios into the domain of epistemic logic. Then, we propose a characterization of finite identifiability in an epistemic temporal language. In the end we discuss consequences and possible extensions of our work. (shrink)

In [T. Brihaye, C. Michaux, C. Rivière, Cell decomposition and dimension function in the theory of closed ordered differential fields, Ann. Pure Appl. Logic .] the authors proved a cell decomposition theorem for the theory of closed ordered differential fields which generalizes the usual Cell Decomposition Theorem for o-minimal structures. As a consequence of this result, a well-behaving dimension function on definable sets in CODF was introduced. Here we continue the study of this cell decomposition in CODF by proving three (...) additional results. We first discuss the relation between the δ-cells introduced in the above-mentioned reference and the notion of Kolchin polynomial in differential algebra. We then prove two generalizations of classical decomposition theorems in o-minimal structures. More exactly we give a theorem of decomposition into definably d-connected components and a differential cell decomposition theorem for a particular class of definable functions in CODF. (shrink)

Seneca the Younger's tragedies are adaptations from the Greek. C. A. J. Littlewood emphasizes the place of these plays in the Latin literature and in the philosophical context of the reign of the emperor Nero. Stoics dismissed public reality as theatre, as illusion. The artificiality of Senecan tragedy, the consciousness that its own dramatic worlds are literary constructs, responds to this contemporary philosophical perception.

Wedderburn showed in 1905 that finite fields are commutative. As for infinite fields, we know that superstable (Cherlin, Shelah) and supersimple (Pillay, Scanlon, Wagner) ones are commutative. In their proof, Cherlin and Shelah use the fact that a superstable field is algebraically closed. Wagner showed that a small field is algebraically closed , and asked whether a small field should be commutative. We shall answer this question positively in non-zero characteristic.

In his Ph.D. thesis [7], L. van den Dries studied the model theory of fields with finitely many orderings and valuations where all open sets according to the topology defined by an order or a valuation is globally dense according with all other orderings and valuations. Van den Dries proved that the theory of these fields is companionable and that the theory of the companion is decidable .In this paper we study the case where the fields are expanded with finitely (...) many orderings and an independent derivation. We show that the theory of these fields still admits a model companion in the language Lequation image = {+, –, ·, D, <1, …, shrink)