This paper reviews debates related to the social cost of carbon (SCC) and the challenge of pricing uncertain damages that will occur only in the future. They often revolve around the pure time preference rate, which reflects how much one favors present over future well-being. The SCC measures the marginal cost of the impact on economic growth caused by the emission of a quantity of greenhouse gases equivalent to an additional ton of carbon dioxide (tCO2eq). There is significant variance among (...) estimates of the SCC; one of the reasons for it is a disagreement on how to bring future damages to present values, especially over the so-called "delta parameter" – the pure time preference rate – of the corresponding discount function. On the one hand, the descriptive approach, associated with William Nordhaus, proposes to use the time preference empirically observed among individuals, which would result in a significant limitation of the present value attributed to the distant future. On the other hand, the normative approach, associated with Nicholas Stern, proposes to treat everyone impartially, in every generation, and so implies transferring more resources to future generations. In the limit, assuming exponential population growth, it would lead to a philosophical stance akin to the so-called "longtermism" (as defended by William MacAskill in What we owe the future). In addition, the analysis points out obstacles to using the SCC to price carbon for climate policies. These include aspects related to economic methodology (such as ecological economics critiques of welfarist accounts of intergenerational allocations) as well as political philosophy. Thus, challenges related to uncertainty about socioeconomic development trajectories, intergenerational justice, and public reason become key. Finally, we present the target-consistent pricing approach, where one calculates a carbon price compatible with specific mitigation targets – an alternative to SCC methodologies. This approach is advocated as a way to avoid the uncertainty and the disagreements associated with the SCC, emphasizing the importance of meeting goals set by binding political decisions – such as the Paris Agreement. (shrink)

Translation into Portuguese of SEP entries on Philosophy of Economics.

O Judiciário moderno constitui um sistema hierarquizado e centralizado, em que cortes superiores, com um número pequeno de membros, têm a função de “dar a última palavra” para resolver desacordos doutrinários entre instâncias inferiores – e inclusive rever decisões das demais autoridades. Essa estrutura hierárquica implica uma fonte peculiar de instabilidade: o tribunal superior se torna como que um “ponto único de falha” suscetível à captura, à pressão indevida, à sobrecarga, e até a súbitas mudanças doutrinárias – pondo em risco (...) seu alegado papel de estabilizador do regime democrático. Isso é salientado quando tais cortes sofrem pressão, ou quando há reviravoltas decorrentes de uma maioria frágil no tribunal – a exemplo do debate sobre a prisão em segunda instância no Brasil. Analiso como o desenvolvimento tecnologias de informação e comunicação (TICs) poderia mitigar este problema por meio de um sistema que agregue decisões judiciais de instâncias inferiores a fim de resolver conflitos de jurisprudência numa determinada jurisdição; isso equivaleria a um sistema de votação que substituiria a atuação da corte de última instância na unificação de jurisprudência – como se a última instância fosse, na realidade, composta pelo judiciário como um todo. Isso alteraria a estrutura de decisão hierarquizada do judiciário, no que diz respeito a divergências entre magistrados, aumentando a descentralização do sistema – associada ao ideal da tradição de common law. Embora original, a proposta é modesta, e poderia ser atingida por meio de mudanças incrementais, sem ruptura institucional, a partir de práticas e tecnologias já existentes – e uso como exemplo ferramentas de legal analytics e o sistema de “repercussão geral de recursos extraordinários” do Brasil, no qual se utiliza processamento de linguagem natural para filtrar e classificar processos de acordo com o tema. Ao final, discutem-se possíveis vantagens e desvantagens dessa proposta, como características epistêmicas da descentralização e o risco de “rigidez” na evolução da doutrina jurídica – em especial no que se refere aos longos mandatos de membros de tribunais superiores. Concluímos que a descentralização da unificação da jurisprudência pode contribuir para mitigar o risco de, com o desenvolvimento da tecnologia, maior concentração de poder. (shrink)

This dialogue between Achilles and the Tortoise – in the spirit of those of Carroll and Hofstadter – argues against the idea, identified with the “traditional” interpretation of Aristotle’s “sea battle argument”, that future contingents are an exception to the Principle of Bivalence. It presents examples of correct everyday predictions, without which one would not be able to decide and to act; however, doing this is incompatible with the belief that the content of these predictions lacks a truth-value. The cost (...) of using a non-classical logic to cope with that may be too high for Stagirite’s defenders, and they would still need to explain why our ordinary predictions seem to have a binary truth-value. In the end, the paper suggests that the problem of future contingents – and of free will – is not a logical problem at all, but rather a limit on what an agent can believe before taking a decision. (shrink)

One of the explanations for the Great Crisis of 2007-2008 was that financial authorities should have issued stricter regulations to prevent the housing bubble. However, according to Alan Greenspan, President of the Federal Reserve System (FED) from 1987 to 2006, this is to judge with hindsight. No one can guess when a “bubble” begins, nor when it ends; they happen because of the “irrational exuberance” in investors’ behavior, which causes boom and bust cycles. Regulators are not in a better situation (...) for assessing risks, though: since market participants supposedly know their own risks better than the regulator (a kind of informational asymmetry), an intervention (except to ensure law-enforcement) would imply unjustified paternalism. However, a regulator does not have to be conceived as a paternalistic authority. We sketch an objection to Greenspan's argument, arguing that crises don’t require a defective reasoning such as the “irrational exuberance” – our usual bounded rationality might be enough to provide the kind of “self-fulfilling prophecy” observed in the rise and fall of bubble assets value. Given the possibility of grave externalities, authorities are justified in adopting measures to ensure investors behave in a prudent way, even if they supposedly know better their own risks. (shrink)

Abstract: Using a critical review of the literature, we study a challenge from philosophical anarchism to J. Raz's theory of legal authority: it would be irrational to follow an order with which one disagrees, since it would mean acting against what is considered more justified. Through references from decision theory and epistemology, and deploying examples about tools for assisting in routine decision-making, we sketch two possible answers: first, it may be justifiable to put yourself in a situation that leads to (...) irrationally acting; second, according to the “blindspots” theory, we outline some restrictions from a theory of rationality to the authority. (shrink)

This paper argues, through conceptual analysis, against an objection to the disapproval of banks for the 2007-8 crisis: the idea that they could not have acted otherwise (at least not rationally) and that no one should be blamed for a fact one could not have avoided. If true, it would threaten the justification of corporate social responsibility and the legal liability of managers. Identified as the ‘inevitability thesis’, this objection is illustrated by an analysis of the film Margin Call (2011) (...) and associated with other investigations on ethics and responsibility. The target thesis stems from a confusion between different notions of responsibility (for a task, for a decision, for causing an event and for repairing it) and leads to an incoherent form of fatalism. Finally, it is suggested that the invocation of ‘inevitability’ may be a way of rationalizing the decision, obscuring reasons to the contrary. (shrink)

From a critical review of the literature, we analyze the incompatibility between the possibility of incorporating moral principles to the law and its authoritative nature, as argued by exclusive positivists, such as J. Raz. After presenting his argument in second section, we argue in the third section that it is incompatible with commonly accepted (even by Raz) premises of the theory of legal interpretation, or else it would lead to contradiction - unless one presupposes, within the premises, a strong version (...) of the sources thesis (which is what Raz intends to prove). In conclusion, we return to the arguments presented, concluding with a possible difficulty for the adoption of exclusive positivism by people inside a legal practice. (shrink)

This essay argues, through conceptual analysis, against an objection to reproaches addressed to financiers after the Crisis of 2007-8: the idea that they could not have acted otherwise (at least, not rationally) and that no one should be blamed for a fact one could not have avoided. If correct, this would threaten the justifiability of corporate social responsibility and legal responsibility of directors. Identified as the “thesis of inevitability”, this objection is illustrated by an analysis of the film Margin Call (...) (2011) and associated with other investigations on ethics and responsibility. This target-thesis follows from a confusion between different notions of responsibility (for an assignment, for a judgment, and causal and liability responsibility) and leads to an inconsistent form of fatalism. It is suggested, finally, that invoking the “inevitability” can be a way to rationalize the decision, obscuring reasons against it. (shrink)

O escritor A. J. Jacobs (2018) decidiu agradecer todas os envolvidas na preparação de seu cafezinho diário; isso o levou a uma jornada épica para contatar milhares de pessoas, desde a barista que lhe vendia o expresso matinal, passando por designers e inventores, até os agricultores que plantaram e colheram o grão em outro continente. Não existe um único indivíduo ou grupo responsável pelo seu café: é preciso um mundo para produzi-lo; é resultado de uma cadeia produtiva, uma rede decentralizada (...) que envolve diversos serviços espalhados internacionalmente – e todas essas pessoas, por sua vez, consomem outros produtos, com outras cadeias. Como este livro. Contraste esse exemplo com a anedota do diplomata soviético que, visitando Londres, fica maravilhado com as padarias – e então pergunta pelo encarregado da distribuição de pães na cidade (Harari, 2016, p. 372). Para seu espanto, os economistas ingleses respondem que ninguém tem esse cargo: o fornecimento de pães é resultado de um agregado de decisões individuais, em que cada fornecedor de matéria-prima (como farinha, sal, fermento) e serviços (transporte, padaria, limpeza) regula sua oferta a partir do que espera que os consumidores querem consumir – e o quanto estes estão dispostos a pagar. É o caso clássico do funcionamento de uma economia de mercado – em contraste com uma economia de comando, onde um grupo de pessoas, conscientemente, toma decisões sobre produção e distribuição. Esses exemplos ressaltam as “vantagens” dos mercados; pode ser tentador pensar, a partir deles, que todos os bens e serviços deveriam ser fornecidos dessa forma, porque isso maximiza a liberdade individual ou tende a 553 levar ao bem-estar coletivo, e que o melhor a fazer é evitar interferências nesse sistema – ideias associadas ao liberalismo econômico, uma teoria política e econômica que tem por patrono Adam Smith (o primeiro economista clássico). No entanto, mesmo economistas liberais reconhecem que há falhas de mercado (como bens públicos e monopólios129). Voltemos a A. J. Jacobs, o qual frisa seu agradecimento ao serviço de fornecimento de água, um “milagre moderno”: ao longo da história, a imensa maioria das pessoas não teve acesso a água encanada – mesmo hoje, 2 bilhões de pessoas ainda carecem de condições sanitárias adequadas (água e esgoto), o que causa doenças que matam 829 mil por ano (WHO, 2015). É um problema que não pode ser resolvido só por mercados, nem por associações filantrópicas; na maior parte do mundo, é um serviço público, geralmente fornecido ou regulado por estados – e sua ausência decorre de falhas de governo. (shrink)

Social decisions are often made under great uncertainty – in situations where political principles, and even standard subjective expected utility, do not apply smoothly. In the first section, we argue that the core of this problem lies in decision theory itself – it is about how to act when we do not have an adequate representation of the context of the action and of its possible consequences. Thus, we distinguish two criteria to complement decision theory under ignorance – Laplace’s principle (...) of insufficient reason and Wald’s maximin criterion. After that, we apply this analysis to political philosophy, by contrasting Harsanyi’s and Rawls’s theories of justice, respectively based on Laplace’s principle of insufficient reason and Wald’s maximin rule – and we end up highlighting the virtues of Rawls’s principle on practical grounds (it is intuitively attractive because of its computational simplicity, so providing a salient point for convergence) – and connect this argument to our moral intuitions and social norms requiring prudence in the case of decisions made for the sake of others. (shrink)

After the 2008 crisis, there were several debates on the bail-out and the lack of accountability of financial institutions; this supposedly affects politica l values such as equality and responsibility: it implies transferring resources from the public (for instance, poor people) to specific economic agents who have chosen to incur certain risks. On the other hand, it is arguable that it would not be up to the regulators to protect investors’ interests, and that there would be more efficient and less (...) burdensome instruments associated with prudential regulation. Our goal is to provide a justification for the bail-out and for holding bankers accountable. In section 2, we present a brief description of the problem in the context of the crisis, followed by a justification for the bail-out through the incentives argument, based on Rawls’s difference principle. In section 3, we provide an ethical discussion over the corresponding moral hazards, and investigate how to mitigate it through coercive measures. (shrink)

Abstract: We face objections against punishing financial firms and managers for producing risks for the financial system – that it’s either paternalistic or inefficient. Against the first: financial crises are so damaging that governments and deposit insurance funds have to intervene – an implicit guarantee to creditors. This is controversial from the perspective of political morality: it implies using resources from the public for the benefit of better-off people who willingly incur risks. So, we begin by studying a possible justification (...) for this arrangement from the ‘incentives argument’ derived from the Rawls difference principle, in the light of G. Cohen’s criticisms. Against the second: we cannot completely dispense with coercive instruments - mainly for the moral hazard entailed by the implicit guarantee. Therefore, we conclude the threat of liability must have a punitive and a preventive character, extending to non-compliance with norms on risk even before generating major economic effects. Keywords: Incentives, Responsibility, Moral Hazard, Justice, Finances JEL Classification: D63, G28, K42 -/- Resumo: Enfrentamos duas objeções à punição de instituições financeiras e gestores pela produção de riscos ao sistema financeiro – que seria paternalista e ineficiente. Contra a primeira: crises financeiras prejudicam tanto a economia que governos e fundos garantidores são obrigados a intervir – uma garantia implícita aos credores. Isso é polêmico da perspectiva da moralidade política: implica utilizar recursos do público em benefício de pessoas em melhor situação que voluntariamente incorrem em riscos. Na primeira seção, estudamos justificar esse arranjo a partir do “argumento do incentivo”, decorrente do princípio da diferença de Rawls, à luz das críticas de G. Cohen. Contra (b), arguimos que não podemos prescindir completamente de instrumentos coercitivos – mormente pelo risco moral decorrente da garantia implícita. Logo, é preciso que a ameaça de responsabilização tenha um caráter punitivo e preventivo, se estendendo ao descumprimento de normas sobre risco mesmo sem gerar efeitos econômicos maiores. Palavras-chave: Incentivos, Responsabilidade, Risco Moral, Justiça, Finanças JEL Classification: D63, G28, K42 -/- (This is a translation of the working paper "Equality and Responsibility"). (shrink)

Pere Alberch played a pivotal role in shaping the field of evolutionary developmental biology during the 1980s and 1990s. Whereas initially his contributions were sidelined by the empirical advancements of the molecular revolution in developmental and evolutionary biology, his theoretical insights have left a lasting impact on the discipline. This article provides a comprehensive review of the legacy and evolvability of Alberch's ideas in contemporary evo-devo, which included the study of morphogenesis as the proper level of developmental causation, the (...) interplay between developmental constraints and natural selection, the epistemic role of teratologies, the origin of evolutionary novelties and the concept of evolvability. (shrink)

VAN PRAAG (Paul), Introduction : le Père Henri Bosmans, histo­rien des mathématiques (pp. 7-16). SAUVAGE (Pierre), Notice biographique du Père Henri Bosmans (pp. 17-25). HERMANS (Michel), Henri Bosmans : sa formation et ses réseaux de rela­tions (pp. 27-72). DELANGHE (Richard), Quelques aspects de la vie et de l’œuvre de Paul Mansion (1844-1919) (pp. 73-82). BRIGAGLIA (Aldo), Saccheri vu par Corrado Segre en Italie et par Mansion et Bosmans en Belgique / traduit de l’italien par Bruna GAINO et Patricia RADELET-DE GRAVE (...) (pp. 83-104). MAWHIN (Jean), La tentative belge d’édition des œuvres complètes d’Euler vue par Henri Bos­mans (pp. 105-133). GOLVERS (Noël), Henri Bosmans, s.j., et la mission jésuite en Chine / traduit du néerlandais par Anne-Sophie MEURICE (pp. 135-152). ROMANO (Antonella), Henri Bosmans, jésuite et historien des mathéma­tiques dans la Belgique du premier XXe siècle (pp. 153-168). SAUVAGE (Pierre), Le Père Henri Bosmans et l’historiographie au tournant du XXe siècle (pp. 169-187). RADELET-DE GRAVE (Patricia), Le fonds Henri Bos­mans / avec un ajout de Michel HERMANS (pp. 189-215). MANSION (Paul), Correspondance de Paul Mansion adres­sée à Henri Bosmans / introduction, trans­cription et annotation par Michel HERMANS (pp. 217-251). HEEFFER (Albrecht) – HERMANS (Michel) – STOFFEL (Jean-François), Bibliographie d’Henri Bosmans (pp. 253-298). (shrink)

L'exemple le plus connu de l'impossibilité de voyager dans le temps est le paradoxe du grand-père ou l'argument de l'auto-infanticide: une personne qui voyage dans le passé et tue son propre grand-père, empêchant ainsi l'existence d'un de ses parents et donc sa propre existence. Une réponse philosophique à ce paradoxe serait l'impossibilité de changer le passé, (à l'instar du principe de cohérence de Novikov. Le paradoxe du grand-père implique toute action qui change le passé. Il se présente sous de nombreuses (...) variantes. DOI: 10.13140/RG.2.2.14587.26409. (shrink)

Preface for Festschrift for Asher Peres's 70th Birthday, Foundations of Physics, issues 35(11), 35(12), and 36(1). -/- “All my friends!” These were nearly the first words I ever heard come from Asher Peres’s mouth. It was at a conference in Maryland in 1994 honoring the 83rd birthday of John Wheeler. The first morning of the meeting I spied Asher walk out of the lecture hall and into a long hallway where, in the distance, he saw a group of old colleagues. (...) His words came out so spontaneously and so lovingly it left a mark on me. I thought, “What a wonderful way to lead a life!—to have results that effect the world over, to travel the world reporting them, to see each conference as a family reunion.” Asher was a man of family—his blood family in Israel and his family of physicist colleagues throughout the world. He nurtured all of us, and we are what we are in large part because of him. (shrink)

On assiste, depuis les années 70, à une interminable littérature sur la vie et la pensée de Nietzsche. Ce foisonnement d’études prend des proportions telles, que même des interprétations relativement récentes (Deleuze, Derrida, Klossowski, Sarah Kofman) se voient déjà élevées au rang des classiques. Les thèmes anciens, mêlés à d’autres plus actuels, sont repris, répétés, relus et réécrits dans des perspectives diverses. Ainsi se noue le dialogue d’une philosophie avec de larges pans de culture : Nietzsche et la métaphysique, Nietzsche (...) et la science, Nietzsche et la politique, Nietzsche et la musique, Nietzsche et la religion, Nietzsche et l’antisémitisme, Nietzsche et les Nazis, Nietzsche et le féminin, Nietzsche et la psychanalyse. (shrink)

Ressenya de l'edició i traducció de Pere Lluís Font de Blaise Pascal. Pensaments i opuscles. Original en català.

À propos de la possibilité de voyager dans le temps sur la base de plusieurs ouvrages spécialisés, notamment ceux de Nicholas J. J. Smith (« Time Travel »), William Grey (« Troubles with Time Travel »), Ulrich Meyer (« Explaining causal loops »), Simon Keller and Michael Nelson (« Presentists should believe in time-travel »), Frank Arntzenius and Tim Maudlin (« Time Travel and Modern Physics »), et David Lewis (« The Paradoxes of Time Travel »). L'article commence par une (...) Introduction dans laquelle je fais une brève présentation du voyage dans le temps et poursuit par une Histoire du concept de voyage dans le temps, les principaux aspects physiques du voyage dans le temps, y compris les voyages dans le temps dans le passé dans la relativité générale et la physique quantique , et les voyages dans le temps dans le futur, puis une présentation du Paradoxe du grand-père abordé dans presque toutes les œuvres spécialisées, suivie d’une section consacrée à la Philosophie du voyage dans le temps et d’une section dans laquelle j’analyse les Boucles causales pour le voyage dans le temps. Je termine mon travail avec Conclusions, dans laquelle je maintiens mes opinions personnelles sur le voyage dans le temps et la Bibliographie sur laquelle repose le travail. -/- TABLE: -/- Abstract Introducere Istoria conceptului de călătorie în timp Paradoxul bunicului Filosofía călătoriei în timp Buclele cauzale Concluzii Note Bibliografie -/- DOI: 10.13140/RG.2.2.27116.51841. (shrink)

Le Père Ignace Carbonnelle, l'un des principaux fondateurs de la Société scientifique de Bruxelles en 1875 et son secrétaire général depuis cette époque, décède inopinément en 1889 après une quin­zaine d'années durant lesquelles il fut «l'homme fort» de ladite Société. Aussitôt, la Revue des questions scienti­fiques annonce la triste nouvelle, promettant, pour un prochain numéro, une étude détaillée de sa vie et de son œuvre. Elle ne paraîtra jamais, de sorte que sa mort ne fut pas saluée avec l'ampleur qu'on (...) était en droit d'attendre. Et pour cause ! Au ter­me d'une enquête digne d'un roman policier, cette étude révèle que Rome, agacée par l'atomisme de Carbonnelle, profita de sa mort pour rappeler à l'ordre la Société en l'invitant à marcher dans les pas de l'Aquinate. En réponse à cette pressante invi­tation et par un excès de zèle non requis, la Société élut comme président le célèbre thomiste français Edmond Domet de Vor­ges, cependant que le mathématicien Paul Mansion s'attacha d'établir, à partir des publications de Pierre Duhem prônant un retour à une physique des qualités, que la Société se conformait bien, mais à sa manière, aux injonctions romaines. ––– Fr. Ignace Carbonnelle, who founded the Brussels Scientific Society in 1875 and was from this date onwards her Secretary General, passed away suddenly in 1889, after fifteen years during which he was the leading figure of the aforementioned Society. “La Revue des Question scientifique” announced the sad news but promised that their next publication would include a detailed article on the great man and his works. Sadly this article never appeared, meaning that the passing of Fr. Carbonnelle was not marked with the importance which we might have otherwise expected. For what reason, you may well ask? After a detailed investigation, worthy of Agatha Christie herself, it would appear that Rome had been rather alarmed by the “atomism” present in Fr. Carbonnelle's reflections, and had taken the opportunity of his death to invite the Scientific Society to opinions more in line with those of St Thomas. In response to this firmly worded invitation, and with overzealous spontaneity, the Society elected the celebrated French Thomiste Edmond Domet de Vorges as their new President. At the same time the mathematician Paul Mansion relied on the publications of Pierre Duhem, which advocated a stronger adhesion to a physics of an object's qualities, to establish that the Society was, in fact, well aligned with the desires of Rome. (shrink)

RésuméCette analyse situe la théorie du soin d'Asha Bhandary, telle que définie dans Freedom to Care, dans l'histoire de la philosophie, note certaines caractéristiques distinctives de la théorie qui font clairement évoluer la tradition de la théorie du soin, et soulève des énigmes et des questions concernant des éléments spécifiques de la théorie. Mes remarques portent principalement sur la première partie du livre et sur les quatre sujets suivants : (1) les racines rawlsiennes de la théorie de Bhandary ; (2) (...) les échanges de Bhandary avec Eva Feder Kittay ; (3) le choix de Bhandary de prendre J.S. Mill et John Rawls comme principaux interlocuteurs historiques ; et enfin (4) le choix méthodologique de Bhandary de cibler les « hommes/pères », les « femmes/mères » et les « enfants/filles/garçons » dans une grande partie de son analyse. (shrink)

In the 17th century the dissemination of philosophical ideas relied also on the critical summaries and reviews published by the journals. The focus of this paper is the reactions of two of these journals – the Journal de Trévoux, edited by the Jesuits of the Parisian Collège Louis Le Grand, and the Journal des Sçavans – to Condillac’s works. The Jesuit journal, under the direction of pére Berthier – probably himself the author of the reviews – had a precise plan (...) in presenting Condillac’s philosophy as an anti-empiricist and anti-materialist doctrine, sometime giving a misrepresentation of the author’s thought, which is also criticized on some points. The decision of the Journal de Trévoux to review the main works of Condillac is anyway worthy of attention, and probably betrays a certain interest toward the more up to date philosophical enquiry. The Journal des Sçavans was on the other hand more faithful in presenting Condillac’s works. (shrink)

On peut inscrire les travaux de Engel dans le sillage rationaliste des Pères de la philosophie analytique, mais après le tournant naturaliste opéré par Quine. Ce sont les diverses bonnes raisons, exposées de manière non systématique par Engel, d’associer naturalisme et rationalisme que je souhaite présenter tout en cherchant à identifier la difficulté constitutive de ce programme qui ne reçoit pas de solution complète: la normativité épistémique ne semble ni éliminable, ni correctement intégrée à ce programme.

In this work we study dimensional theoretical properties of some a±ne dynamical systems. By dimensional theoretical properties we mean Hausdor® dimension and box- counting dimension of invariant sets and ergodic measures on theses sets. Especially we are interested in two problems. First we ask whether the Hausdor® and box- counting dimension of invariant sets coincide. Second we ask whether there exists an ergodic measure of full Hausdor® dimension on these invariant sets. If this is not the case we ask the (...) question, whether at least the variational principle for Haus- dor® dimension holds, which means that there is a sequence of ergodic measures such that their Hausdor® dimension approximates the Hausdor® dimension of the invariant set. It seems to be well accepted by experts that these questions are of great importance in developing a dimension theory of dynamical systems (see the book of Pesin about dimension theory of dynamical systems [PE2]). Dimensional theoretical properties of conformal dynamical systems are fairly well understood today. For example there are general theorems about conformal repellers and hyperbolic sets for conformal di®eomorphisms (see chapter 7 of [PE2]). On the other hand the existence of two di®erent rates of expansion or contraction forces problems that are not captured by a general theory this days. At this stage of de- velopment of the dimension theory of dynamical systems it seems natural to study non conformal examples. This is the ¯rst step to understand the mechanisms that determine dimensional theoretical properties of non conformal dynamical systems. A±ne dynamical systems represent simple examples of non conformal systems. They are easy to de¯ne, but studying their dimensional theoretical properties does never- theless provide challenging mathematical problems and exemplify interesting phe- nomena. We consider here a special class of self-a±ne repellers in dimension two, depending on four parameters (see 2.1.). Furthermore we study a class of attractors of piecewise a±ne maps in dimension three depending on four parameters as well. The last object of our work are projections of these maps that are known as gener- alized Baker's transformations (see 2.2.). The contents of our work is the following: In chapter two we give an overview about some main results in the area of di- mension theory of a±ne dynamical systems and de¯ne the systems we study in this work. We will explain, what is known about the dimensional theoretical properties of these systems and describe what our new results are. In chapter three we then apply symbolic dynamics to our systems. We will introduce explicit shift codings 4 and ¯nd representations of all ergodic measures for our systems using these codings. From chapter four to chapter eight we study dimensional theoretical properties, which our systems generally or generically have. In chapter four we will prove a formula for the box-counting dimension of the repellers and the attractors (see the- orem 4.1.). Then in chapter ¯ve we apply general dimensional theoretical results for ergodic measures found by Ledrappier and Young [LY] and Barreira, Schmeling and Pesin [BPS] to our systems. These results relate the dimension of ergodic measures to metric entropy and Lyapunov exponents. Using this approach we will be able to reduce questions about the dimension of ergodic measures in our context to ques- tions about certain overlapping and especially overlapping self-similar measures on the line. These overlapping self-similar measures are studied in chapter six. Our main theorem extends a result of Peres and Solomyak [PS2] concerning the absolute continuity resp. singularity of symmetric self-similar measures to asymmetric ones (see theorem 6.1.3.). In chapter seven we bring our results together. We prove that we generically (in the sense of Lebesgue measure on a part of the parameter space) have the iden- tity of box-counting and Hausdor® dimension for the repellers and the attractors. (see theorem 7.1.1. and corollary 7.1.2.). This result suggest that one can expect that the identity of box-counting dimension and Hausdor® dimension holds at least generically in some natural classes of non conformal dynamical systems. Furthermore we will see in chapter seven that there generically exists an ergodic measure of full Hausdor® dimension for the repellers. On the other hand the vari- ational principle for Hausdor® dimension is not generic for the attractors. It holds only if we assume a certain symmetry (see theorem 7.1.1.). For generalized Baker's transformations we will ¯nd a part of the parameter space where there generically is an ergodic measure of full dimension and a part where the variational principle for Hausdor® dimension does not hold (see theorem 7.1.3.). Roughly speaking the reason why the variational principle does not hold here is, that if there exists both a stable and an unstable direction one can not generically maximize the dimension in the stable and in the unstable direction at the same time. In an other setting this phenomenon was observed before by Manning and McCluskey [MM]. In chapter eight we extend some results of the last section to invariant sets that correspond to special Markov chains instead of full shifts (see theorem 8.1.1.). In the last two chapters of our work we are interested in number theoretical excep- tions to our generic results. The starting point of our considerations in section nine are results of ErdÄos [ER1] and Alexander and Yorke [AY] that establish singularity and a decrease of dimension for in¯nite convolved Bernoulli measures under special conditions. Using a generalized notion of the Garsia entropy ([GA1/2]) we are able 5 to understand the consequences of number theoretical peculiarities in broader class of overlapping measures (see theorem 9.1.1.). In chapter ten we then analyze number theoretical peculiarities in the context of our dynamical systems. We restrict our attention to a symmetric situation where we generically have the existence of a Bernoulli measure of full dimension and the identity of Hausdor® and box-counting dimension for all of our systems. In the ¯rst section of chapter ten we ¯nd parameter values such that the variational principle for Hausdor® dimension does not hold for the attractors and for the Fat Baker's transformations (see theorem 10.1.1.). These are the ¯rst known examples of dynamical systems for which the variational principle for Hausdor® dimension does not hold because of number theoretical peculiarities of parameter values. For the repellers we have been able to show that under certain number theoretical conditions there is at least no Bernoulli measure of full Hausdor® dimension; the question if the variational principle for Hausdor® dimension holds remains open in this situation. In the second section of chapter ten we will show that the identity for Hausdor® and box-counting dimension can drops because there are number theoretical pecu- liarities. In the context of Weierstrass-like functions this phenomenon was observed by Przytycki and Urbanski [PU]. Our theorem extends this result to a larger class of sets, invariant under dynamical systems (see theorem 10.2.1). At the end of this work the reader will ¯nd two appendices, a list of notations and the list of references. In appendix A we introduce the notions of dimension we use in this work and collect some general facts in dimension theory. In appendix B we state the facts about Pisot-Vijayarghavan number, we need in our analysis of number theoretical peculiarities. The list of notations contains general notations and a table with a summary of notations we use to describe the dynamical systems that we study. Acknowledgments I wish to thank my supervisor JÄorg Schmeling for a lot of valuable discussion and all his help. Also thanks to Luis Barreira for his great hospitality in Lisboa and many interesting comments. This work was done while I was supported by "Promotionstipendium gem. NaFÄoG der Freien UniversitÄat Berlin". (shrink)

Hippocrate de Cos, médecin et philosophe, est souvent considéré comme le père de la médecine. Si la représentation d’un Hippocrate comme « père de la médecine » relève de l’inflation mythique, elle est néanmoins révélatrice de l’importance de son héritage. L’objectif de cet article est de rendre compte des différentes versions du Serment d’Hippocrate, ainsi que des versions professionnelles subséquentes, afin de souligner certaines difficultés inhérentes à ce texte. Nous souhaitons également avancer l’idée selon laquelle les idéaux hippocratiques ne sont (...) pas à considérer comme un ensemble de principes aujourd’hui caduques, mais plutôt comme un cadre conceptuel pertinent pour comprendre certains des enjeux propres à la relation médecin-patient.e aujourd’hui. (shrink)

"Memory and Mimesis" commence par une réflexion sur la relation entre l'esprit et la mémoire invoqué par un scénario quotidien de la vie d'un père jouant avec sa fille âgée d'un an dans un bistrot et extrapole, a partir de cette relation, une parallèle relation entre psychologie de l'enfant et de l'évolution humaine en termes du «développement» des formes peu profondes de la mémoire au détriment d'une mémoire plus profonde et primale incorporée dans un esprit non- épiphenominal. -/- -/- L'étude (...) procède alors a le démonter par une exégèse de l'histoire de la création dans le livre de la Genèse avec une attention particulière à l'histoire de la tentation du serpent et le péché originel d'Eve comme une preuve — quand l'histoire est prise ( pas trop ) au sérieux — d’un support biblique pour l'évolution de concert avec des découverts dans la biologie évolutive. (shrink)

La sagesse dans l'hindouisme considère la connaissance de soi comme la vérité, la base de toute la Création, du Shristi. Il s'avère que le sage est une personne ayant la conscience de soi de toute la création sous toutes ses facettes et sous toutes ses formes. Il n'y a pas beaucoup d'études concernant l'intelligence émotionnelle du point de vue indien, bien que l'intelligence émotionnelle se trouve dans tous les textes de la littérature indienne ancienne. (Rig Veda, Yajur Veda, Ayurveda, etc.). (...) La tradition philosophique indienne met l'accent sur la nature forte des émotions, qui doivent être exploitées pour une vie harmonieuse. Patanjali, « le père de la psychologie indienne », a étudié l'esprit humain des milliers d'années avant les philosophes occidentaux. DOI: 10.13140/RG.2.2.36650.75202. (shrink)

Mayr’s proximate–ultimate distinction has received renewed interest in recent years. Here we discuss its role in arguments about the relevance of developmental to evolutionary biology. We show that two recent critiques of the proximate–ultimate distinction fail to explain why developmental processes in particular should be of interest to evolutionary biologists. We trace these failures to a common problem: both critiques take the proximate–ultimate distinction to neglect specific causal interactions in nature. We argue that this is implausible, and that the distinction (...) should instead be understood in the context of explanatory abstractions in complete causal models of evolutionary change. Once the debate is reframed in this way, the proximate–ultimate distinction’s role in arguments against the theoretical significance of evo-devo is seen to rely on a generally implicit premise: that the variation produced by development is abundant, small and undirected. We show that a “lean version” of the proximate–ultimate distinction can be maintained even when this isotropy assumption does not hold. Finally, we connect these considerations to biological practice. We show that the investigation of developmental constraints in evolutionary transitions has long relied on a methodology which foregrounds the explanatory role of developmental processes. It is, however, entirely compatible with the lean version of the proximate–ultimate distinction. (shrink)

Essential for the concept of the law of nature is not only spatio-temporal universality, but also functionality in the sense of the dependency on physical conditions of natural entities. In the following it is explained in detail that just the neglect of this functional property is to be understood as the real reason for the occurrence of the Goodman paradox – with the consequence, that the behavior of things seems to be completely at the mercy of change of unique unrepeatable (...) temporal points. It is exactly this (mis-)understanding that also generated the induction problem. From the intrinsic connection between universality and functionality, however, – that is my claim – the ontological consequence of a nature results, for which lawfulness is coupled to essentially functionally defined time sequences, thereby implying a potentiality dimension of nature, too. (shrink)