During evolution, the genomes of eukaryotic cells have undergone major restructuring to meet the new regulatory challenges associated with compartmentalization of the genetic material in the nucleus and the organelles acquired by endosymbiosis (mitochondria and plastids). Restructuring involved the loss of dispensable or redundant genes and the massive translocation of genes from the ancestral organelles to the nucleus. Genomics and bioinformatic data suggest that the process of DNA transfer from organelles to the nucleus still continues, providing raw material for evolutionary (...) tinkering in the nuclear genome. Recent reconstruction of these events in the laboratory has provided a unique tool to observe genome evolution in real time and to study the molecular mechanisms by which plastid genes are converted into functional nuclear genes. Here, we summarize current knowledge about plastid‐to‐nuclear gene transfer in the context of genome evolution and discuss new insights gained from experiments that recapitulate endosymbiotic gene transfer in the laboratory. BioEssays 30:556–566, 2008. © 2008 Wiley Periodicals, Inc. (shrink)

Many psychological studies of categorization and reasoning use undergraduates to make claims about human conceptualization. Generalizability of findings to other populations is often assumed but rarely tested. Even when comparative studies are conducted, it may be challenging to interpret differences. As a partial remedy, in the present studies we adopt a 'triangulation strategy' to evaluate the ways expertise and culturally different belief systems can lead to different ways of conceptualizing the biological world. We use three groups (US bird experts, US (...) undergraduates, and ordinary Itza' Maya) and two sets of birds (North American and Central American). Categorization tasks show considerable similarity among the three groups' taxonomic sorts, but also systematic differences. Notably, US expert categorization is more similar to Itza' than to US novice categorization. The differences are magnified on inductive reasoning tasks where only undergraduates show patterns of judgment that are largely consistent with current models of category-based taxonomic inference. The Maya commonly employ causal and ecological reasoning rather than taxonomic reasoning. Experts use a mixture of strategies (including causal and ecological reasoning), only some of which current models explain. US and Itza' informants differed markedly when reasoning about passerines (songbirds), reflecting the somewhat different role that songbirds play in the two cultures. The results call into question the importance of similarity-based notions of typicality and central tendency in natural categorization and reasoning. These findings also show that relative expertise leads to a convergence of thought that transcends cultural boundaries and shared experiences. (shrink)

give a proof of the existence of nonlocal influences acting on correlated spin-1/2 particles in the singlet state which does not require any particular interpretation of quantum mechanics (QM). (Except Stapp holds that the proof fails under a many-worlds interpretation of QM—a claim we analyse in 1.2.) Recently, in responding to Redhead's ([1987], pp. 90-6) criticism that the Stapp 1 proof fails under an indeterministic interpretation of QM, Stapp [1989] (henceforth Stapp 2), has revised the logical structure of his proof (...) including its crucial locality assumption. Our main aim is to show that this revision is a step in the wrong direction because it faces two difficulties which undermine the resulting proof's significance (3.1) and validity (3. 2). We also clarify and extend the Stapp 1 proof (1. 1) with the aid of Lewis' analysis of counterfactuals (1. 2) and causal dependence (2. 2 and 2. 3). In so doing, we are able to identify two new defects in the Stapp 1 proof (1. 3 and 2. 1) in addition to corroborating Redhead's criticism (2. 2). Also, the additional assumptions which save the Stapp 1 proof's validity are detailed (2. 3) and some new difficulties for the determinist are pointed out by exploiting a slightly extended version of the proof (2. 4). In providing this full analysis of the Stapp 1 proof, we also construct the necessary framework within which to provide a critique of Stapp 2's proof (3). *Portions of this paper were presented by R. K. Clifton to the 1988 British Society for the Philosophy of Science Conference at the University of Southampton. R. K. Clifton wishes to thank the Natural Sciences and Engineering Research Council of Canada, the Royal Commission for the Exhibition of 1851, and the Governing Body of Peterhouse at Cambridge University for support during this work. (shrink)

This unique volume is a comprehensive,well-illustrated study of the organization of the white matter pathways of the brain. Schmahmann and Pandya have analyzed and synthesized the corticocortical and corticosubcortical connections of the major areas of the cerebral cortex of the rhesus monkey. The result is a detailed understanding of the constituents of the cerebral white matter and the organization of the fiber tracts. The findings from the 36 cases studied are presented on a single template brain, facilitating comparison of the (...) locations of the different fiber pathways. The summary diagrams provide a comprehensive atlas of the cerebral white matter. The text is enriched by close attention to functional aspects of the anatomical observations. The clinical relevance of the pathways is addressed throughout the text and a chapter is devoted to human white matter diseases. The introductory account gives a detailed historical background. Translations of seminal original observations by early investigators are presented, and when these are considered in the light of the authors' new observations, many longstanding conflicts and debates are resolved. This scholarly book is an important addition to systems and cognitive neuroscience that will be of lasting value to neurobiologists, anatomists, neurologists, neurosurgeons, neuroradiologists, psychiatrists, psychologists, and to their students and trainees. (shrink)

We discuss some aspects of the relation between dualities and gauge symmetries. Both of these ideas are of course multi-faceted, and we confine ourselves to making two points. Both points are about dualities in string theory, and both have the ‘flavour’ that two dual theories are ‘closer in content’ than you might think. For both points, we adopt a simple conception of a duality as an ‘isomorphism’ between theories: more precisely, as appropriate bijections between the two theories’ sets of states (...) and sets of quantities. The first point is that this conception of duality meshes with two dual theories being ‘gauge related’ in the general philosophical sense of being physically equivalent. For a string duality, such as T-duality and gauge/gravity duality, this means taking such features as the radius of a compact dimension, and the dimensionality of spacetime, to be ‘gauge’. The second point is much more specific. We give a result about gauge/gravity duality that shows its relation to gauge symmetries to be subtler than you might expect. For gauge theories, you might expect that the duality bijections relate only gauge-invariant quantities and states, in the sense that gauge symmetries in one theory will be unrelated to any symmetries in the other theory. This may be so in general; and indeed, it is suggested by discussions of Polchinski and Horowitz. But we show that in gauge/gravity duality, each of a certain class of gauge symmetries in the gravity/bulk theory, viz. diffeomorphisms, is related by the duality to a position-dependent symmetry of the gauge/boundary theory. (shrink)

We give an introductory review of gauge/gravity duality, and associated ideas of holography, emphasising the conceptual aspects. The opening sections gather the ingredients, viz. anti-de Sitter spacetime, conformal field theory and string theory, that we need for presenting, in Sect. 5, the central and original example: Maldacena’s AdS/CFT correspondence. Sections 6 and 7 develop the ideas of this example, also in applications to condensed matter systems, QCD, and hydrodynamics. Sections 8 and 9 discuss the possible extensions of holographic ideas to (...) de Sitter spacetime and to black holes. Section 10 discusses the bearing of gauge/gravity duality on two philosophical topics: the equivalence of physical theories, and the idea that spacetime, or some features of it, are emergent. (shrink)

We further develop a recent new proof (by Greenberger, Horne, and Zeilinger—GHZ) that local deterministic hidden-variable theories are inconsistent with certain strict correlations predicted by quantum mechanics. First, we generalize GHZ's proof so that it applies to factorable stochastic theories, theories in which apparatus hidden variables are causally relevant to measurement results, and theories in which the hidden variables evolve indeterministically prior to the particle-apparatus interactions. Then we adopt a more general measure-theoretic approach which requires that GHZ's argument be modified (...) in order to produce a valid proof. Finally, we motivate our more general proof's assumptions in a somewhat different way from previous authors in order to strengthen the implications of our proof as much as possible. After developing GHZ's proof along these lines, we then consider the analogue, for our proof, of Bohr's reply to the EPR argument, and conclude (pace GHZ) that in at least one respect (viz. that of most concern to Bohr) the proof is no more powerful than Bell's. Nevertheless, we point out some new advantages of our proof over Bell's, and over other algebraic proofs of nonlocality. And we conclude by giving a modified version of our proof that, like Bell's, does not rely on experimentally unrealizable strict correlations, but still leads to a testable “quasi-algebraic” locality inequality.“... to admit things not visible to the gross creatures that we are is, in my opinion, to show a decent humility, and not just a lamentable addiction to metaphysics.”J. S. Bell. (shrink)

The current study investigated the adaptations which occur in visual search behaviour as a function of expertise in rugby union players when completing attacking scenarios. Ten experienced players and ten novice players completed 2 vs. 1 attacking game scenarios. Starting with the ball in hand and wearing a mobile eye tracker throughout, participants were required to score a try against a defender. The scenarios allowed for a pass to their supporting player or trying to run past the defender. No between (...) group differences were found in fixating on the supporting attacking player. However, EP increased the length and frequency looking at the area immediately ahead of the supporting player, particularly when executing a spin pass. NP fixated longer and more frequently at the defender, whilst EP fixated more frequently in the space the supporting player would run into in Switch and Dummy Switch scenarios. More successful passes were completed and tries scored by EP compared to NP. Differences in visual search behaviour between experienced and NP suggest that the experts extract information from areas directly related to guiding the motor action; the space immediately ahead of the support player to pass the ball in. Contrastingly, novices use a more allocentric perspective where the actions from the defender are used to guide their motor actions. (shrink)

Recent legislation, such as the Patient Self-Determination Act, establishes advance directives as an acceptable procedural means of incorporating patients’ preferences for life-sustaining treatments into their medical care. Advance directives can enhance medical decision making since they provide patients with an opportunity to communicate their preferences before suffering from an acute illness that may preclude their ability to do so.Although patients expect discussions about life-sustaining therapies to be initiated by their physicians, very little is known about what prompts physicians to discuss (...) advance directives with their patients. As in other areas of clinical decision making, there is evidence that patients’ sociodemographic factors influence whether discussions about advance directives occur between patients and their physicians. In one study of persons with the acquired immunodeficiency syndrome, those who had not had discussions about advance directives with their physicians tended to be non-white, have no prior hospitalization, and were more likely to have been cared for in a health maintenance organization than in a teaching hospital. (shrink)

Recent legislation, such as the Patient Self-Determination Act, establishes advance directives as an acceptable procedural means of incorporating patients’ preferences for life-sustaining treatments into their medical care. Advance directives can enhance medical decision making since they provide patients with an opportunity to communicate their preferences before suffering from an acute illness that may preclude their ability to do so.Although patients expect discussions about life-sustaining therapies to be initiated by their physicians, very little is known about what prompts physicians to discuss (...) advance directives with their patients. As in other areas of clinical decision making, there is evidence that patients’ sociodemographic factors influence whether discussions about advance directives occur between patients and their physicians. In one study of persons with the acquired immunodeficiency syndrome, those who had not had discussions about advance directives with their physicians tended to be non-white, have no prior hospitalization, and were more likely to have been cared for in a health maintenance organization than in a teaching hospital. (shrink)

Engineering Dynamics spans the full range of mechanics problems, from one-dimensional particle kinematics to three-dimensional rigid-body dynamics, including an introduction to Lagrange's and Kane's methods. It skillfully blends an easy-to-read, conversational style with careful attention to the physics and mathematics of engineering dynamics, and emphasizes the formal systematic notation students need to solve problems correctly and succeed in more advanced courses.

In this consensus report by a diverse group of academics who conduct and/or are concerned about social and behavioral genomics (SBG) research, the authors recount the often‐ugly history of scientific attempts to understand the genetic contributions to human behaviors and social outcomes. They then describe what the current science—including genomewide association studies and polygenic indexes—can and cannot tell us, as well as its risks and potential benefits. They conclude with a discussion of responsible behavior in the context of SBG research. (...) SBG research that compares individuals within a group according to a “sensitive” phenotype requires extra attention to responsible conduct and to responsible communication about the research and its findings. SBG research (1) on sensitive phenotypes that (2) compares two or more groups defined by (a) race, (b) ethnicity, or (c) genetic ancestry (where genetic ancestry could easily be misunderstood as race or ethnicity) requires a compelling justification to be conducted, funded, or published. All authors agree that this justification at least requires a convincing argument that a study's design could yield scientifically valid results; some authors would additionally require the study to have a socially favorable risk‐benefit profile. (shrink)

Corporate community involvement is often regarded as means of development in developing countries. However, CCI is often criticised for patronage and insensitivity both to context and local priorities. A key concern is the extent of 'community participation' in corporate social decision-making. Community participation in CCI offers an opportunity for these criticisms to be addressed. This paper presents findings of research examining community participation in CCI governance undertaken by Magadi Soda Company in Kenya. We draw on socio-political governance and interaction theories (...) to examine the institutionalisation of participatory decision-making and its impact on changing governing roles and social action in CCI over time. (shrink)

In spite of its success, Neo-Darwinism is faced with major conceptual barriers to further progress, deriving directly from its metaphysical foundations. Most importantly, neo-Darwinism fails to recognize a fundamental cause of evolutionary change, “niche construction”. This failure restricts the generality of evolutionary theory, and introduces inaccuracies. It also hinders the integration of evolutionary biology with neighbouring disciplines, including ecosystem ecology, developmental biology, and the human sciences. Ecology is forced to become a divided discipline, developmental biology is stubbornly difficult to reconcile (...) with evolutionary theory, and the majority of biologists and social scientists are still unhappy with evolutionary accounts of human behaviour. The incorporation of niche construction as both a cause and a product of evolution removes these disciplinary boundaries while greatly generalizing the explanatory power of evolutionary theory. (shrink)

Participants in clinical research sometimes view participation as therapy or exaggerate potential benefits, especially in phase I or phase II trials. We conducted this study to discover what methods might improve cancer patients’ understanding of early-phase clinical trials. We randomly assigned 130 cancer patients from three U.S. medical centers who were considering enrollment in a phase I or phase II cancer trial to receive either a multimedia intervention or a National Cancer Institute pamphlet explaining the trial and its purpose. Intervention (...) participants were 32 times more likely to believe that the trial’s purpose was to examine safety and 60 % less likely to believe they would experience long-term benefit or cure. There was no difference in enrollment decision. However, while patients’ understanding of the trial’s purpose improved and expectations of long-term benefit diminished, half the respondents still believed they would experience long-term benefit or cure from participation. Therefore, we conclude that multimedia interventions such as this one may help oncologists to explain the risks and benefits of early-phase cancer trials in a way that patients can more easily understand, helping them to make more informed decisions about participation. But further research into other factors that influence patients’ beliefs about the outcome of enrollment is needed, both to modify the interventions and to determine how malleable patient beliefs are. (shrink)

Acceptance of elderly or marginal health individuals as kidney donors is debated, with practices varying between centres. Transplant recipients, live kidney donors and health-care professionals caring for patients with renal failure were surveyed regarding their views on live donor kidney transplantation (LDKT) of marginal health (diabetes, hypertension, atherosclerosis, obesity, etc.) and elderly donors. Participants were recruited within a tertiary renal and transplant centre and invited to participate in focus groups and structured interviews. They also completed an anonymous questionnaire. Of 464 (...) participants who completed the questionnaire (36% health-care professionals and 64% patients), 49% and 64%, respectively, stated that marginal and elderly donors should be accepted for LDKT. In the structured interviews, emphasis was given to presenting to donor, recipient and their respective families a calculated risk regarding the effect that either a nephrectomy or transplant has on long-term quality of life. Participants stated that an independent third party in addition to the transplant team should discuss involved risks. Issues of ‘how desperate’ the recipient's situation is should also be considered. Health-care professionals stated that regardless of the strength of will of an individual to donate a kidney (despite age, health problems or personal risk), they should always have the right to say ‘no’ if performing a specific LDKT was against their professional and ethical values. About half of those surveyed considered that marginal health and elderly donors were acceptable for LDKT. Emphasis was given to the explanation to donors and recipients of the risks involved in such transplantation. (shrink)

The evidence of high cognitive abilities in cetaceans does not stand up to close scrutiny under the standards established by laboratory researchers. This is likely to lead to a sterile debate between laboratory and field researchers unless fresh ways of taking the debate forward are found. A few suggestions as to how to do this are proposed.

Genetic determinism can be described as the attribution of the formation of traits to genes, where genes are ascribed more causal power than what scientific consensus suggests. Belief in genetic determinism is an educational problem because it contradicts scientific knowledge, and is a societal problem because it has the potential to foster intolerant attitudes such as racism and prejudice against sexual orientation. In this article, we begin by investigating the very nature of belief in genetic determinism. Then, we investigate whether (...) knowledge of genetics and genomics is associated with beliefs in genetic determinism. Finally, we explore the extent to which social factors such as gender, education, and religiosity are associated with genetic determinism. Methodologically, we gathered and analyzed data on beliefs in genetic determinism, knowledge of genetics and genomics, and social variables using the “Public Understanding and Attitudes towards Genetics and Genomics” instrument. Our analyses of PUGGS responses from a sample of Brazilian university freshmen undergraduates indicated that belief in genetic determinism was best characterized as a construct built up by two dimensions or belief systems: beliefs concerning social traits and beliefs concerning biological traits; levels of belief in genetic determination of social traits were low, which contradicts prior work; associations between knowledge of genetics and genomics and levels of belief in genetic determinism were low; and social factors such as age and religiosity had stronger associations with beliefs in genetic determinism than knowledge. Although our study design precludes causal inferences, our results raise questions about whether enhancing genetic literacy will decrease or prevent beliefs in genetic determinism. (shrink)

To what extent does perceptual language reflect universals of experience and cognition, and to what extent is it shaped by particular cultural preoccupations? This paper investigates the universality~relativity of perceptual language by examining the use of basic perception terms in spontaneous conversation across 13 diverse languages and cultures. We analyze the frequency of perception words to test two universalist hypotheses: that sight is always a dominant sense, and that the relative ranking of the senses will be the same across different (...) cultures. We find that references to sight outstrip references to the other senses, suggesting a pan-human preoccupation with visual phenomena. However, the relative frequency of the other senses was found to vary cross-linguistically. Cultural relativity was conspicuous as exemplified by the high ranking of smell in Semai, an Aslian language. Together these results suggest a place for both universal constraints and cultural shaping of the language of perception. (shrink)

La pensée du jurisconsulte anglais Jeremy Bentham (1748-1832) se prête particulièrement bien à une approche interdisciplinaire telle que celle qui est menée dans le présent ouvrage. Si Bentham, en effet, a consacré l'essentiel de ses travaux à des projets de réforme de la société anglaise de son temps par le biais de la codification des lois, il n'a cessé d'enrichir cette réflexion par des emprunts faits à d'autres disciplines, dans lesquelles il était également passé maître, telles la morale, la (...) psychologie, la logique, la théorie du langage, l'économie ou la politique. Cette pensée, à la fois plurielle et ambiguë (est-elle conservatrice, réformiste, révolutionnaire ou utopique? est-elle descriptive, explicative ou normative?), révèle aujourd'hui son étonnante actualité. Il est peu de thèmes juridiques contemporains qui ne trouvent en effet leur place dans l'œuvre de Bentham : ainsi les questions de l'utilité, de la balance des intérêts, de la constitution d'une science du droit et d'une logique déontique; ainsi les concepts de système juridique, de codification, de déontologie, de contrôle social, d'opinion publique et de majorité politique. L'intérêt de cette " relecture " de la pensée de Bentham réside dès lors sans doute moins dans l'exégèse de ses multiples détours que dans la mise en lumière de ses ambiguïtés et de ses limites qui, pour une large part, sont aussi les nôtres. Parmi celles-ci, l'oscillation constante, déjà inscrite dans les textes benthamiens, entre deux figures de l'État moderne (État libéral et État-providence), n'est sans doute pas la moins actuelle. (shrink)

Hastings Center Report, Volume 52, Issue 1, Page 51-58, January/February 2022.

In another paper, one of us argued that emergence and reduction are compatible, and presented four examples illustrating both. The main purpose of this paper is to develop this position for the example of phase transitions. We take it that emergence involves behaviour that is novel compared with what is expected: often, what is expected from a theory of the system's microscopic constituents. We take reduction as deduction, aided by appropriate definitions. Then the main idea of our reconciliation of emergence (...) and reduction is that one makes the deduction after taking a limit of an appropriate parameter $N$. Thus our first main claim will be that in some situations, one can deduce a novel behaviour, by taking a limit $N\to\infty$. Our main illustration of this will be Lee-Yang theory. But on the other hand, this does not show that the $N=\infty$ limit is physically real. For our second main claim will be that in such situations, there is a logically weaker, yet still vivid, novel behaviour that occurs before the limit, i.e. for finite $N$. And it is this weaker behaviour which is physically real. Our main illustration of this will be the renormalization group description of cross-over phenomena. (shrink)

Excerpt from Traites de Legislation Civile Et PenaleMais ce n'est pas un panegyrique que je fais. Il faut bien avouer que le soin d'arranger et de polir a peu d' attraits pour le genie de l'auteur. Tant qu'il est pousse par une force creatrice, il ne sent que le plaisir de la composition. S'agit-il de donner des formes, de rediger, de finir, il n'en sent plus que la fatigue. Que l'ouvrage soit interrompu, le mal est irreparable: le charme disparait, le (...) degout succede, et la passion eteinte ne se rallume que pour un objet nouveau.La meme disposition l'a eloigne de contribuer a la redaction que je donne au public; je n'ai pu Obtenir que rarement les eclaircissements et les secours dont j'avais besoin il lui en coutait tr0p de suspendre le cours actuel de ses idees pour revenir sur d'anciennes traces.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

Résumé L’ACTA (Accord Commercial Anti-Contrefaçon), bombe à retardement contre l’Internet ouvert et libre, a été rejeté à une très large majorité des votes par le Parlement européen le 4 juillet 2012, en particulier grâce à l’action pugnace d’une ribambelle d’associations européennes parmi lesquelles, en France, la Quadrature du Net. L’un des responsables de la Quadrature du Net, Jérémie Zimmermann, nous éclaire dans cette interview sur ACTA et sa logique répressive qui n’en finit pas de renaître dans bien des traités. Mais (...) il revient également sur la façon dont des organisations comme la sienne et beaucoup d’autres ont agi, avec des citoyens de l’Europe entière, pour obtenir le rejet de cet accord si fortement symbolique. (shrink)

Excerpt from Traites de Legislation Civile Et PenaleMais ce n'est pas un panegyrique que je fais. Il faut bien avouer que le soin d'arranger et de polir a peu d' attraits pour le genie de l'auteur. Tant qu'il est pousse par une force creatrice, il ne sent que le plaisir de la composition. S'agit-il de donner des formes, de rediger, de finir, il n'en sent plus que la fatigue. Que l'ouvrage soit interrompu, le mal est irreparable: le charme disparait, le (...) degout succede, et la passion eteinte ne se rallume que pour un objet nouveau.La meme disposition l'a eloigne de contribuer a la redaction que je donne au public; je n'ai pu Obtenir que rarement les eclaircissements et les secours dont j'avais besoin il lui en coutait tr0p de suspendre le cours actuel de ses idees pour revenir sur d'anciennes traces.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

Les juges créent-ils du droit ? Eros Roberto Grau, avocat, ancien professeur à la prestigieuse Faculté de droit de l’Université de São Paulo et ancien membre de la Cour suprême brésilienne de 2004 à 2010, aurait sans aucun doute pu faire un livre inaccessible sur cette question, tant son parcours, ses forts engagements et ses réflexions prolifiques l’y autorisent.Sa biographie est en particulier disponible en brésilien sur le site de la Cour suprême brésilienne et sur son site personnel . Mais (...) le présent ouvrage édité par Carlos Miguel Herrera, « texte de combat » selon son préfacier Antoine Jeammaud, est une invitation à mieux découvrir l’approche critique du droit défendue par l’auteur sous l’angle d’une théorie réaliste de l’interprétation aussi habile qu’originale. Classiquement, selon cette dernière, on ne le sait que trop bien, le droit n’est pas à considérer c .. (shrink)

This is a companion to another paper. Together they rebut two widespread philosophical doctrines about emergence. The first, and main, doctrine is that emergence is incompatible with reduction. The second is that emergence is supervenience; or more exactly, supervenience without reduction.In the other paper, I develop these rebuttals in general terms, emphasising the second rebuttal. Here I discuss the situation in physics, emphasising the first rebuttal. I focus on limiting relations between theories and illustrate my claims with four examples, each (...) of them a model or a framework for modelling, from well-established mathematics or physics.I take emergence as behaviour that is novel and robust relative to some comparison class. I take reduction as, essentially, deduction. The main idea of my first rebuttal will be to perform the deduction after taking a limit of some parameter. Thus my first main claim will be that in my four examples (and many others), we can deduce a novel and robust behaviour, by taking the limit N→∞ of a parameter N.But on the other hand, this does not show that the N=∞ limit is “physically real”, as some authors have alleged. For my second main claim is that in these same examples, there is a weaker, yet still vivid, novel and robust behaviour that occurs before we get to the limit, i.e. for finite N. And it is this weaker behaviour which is physically real.My examples are: the method of arbitrary functions (in probability theory); fractals (in geometry); superselection for infinite systems (in quantum theory); and phase transitions for infinite systems (in statistical mechanics). (shrink)

A seminal theorem due to Weyl [14] states that if $(a_n)$ is any sequence of distinct integers, then, for almost every $x \in \mathbb{R}$, the sequence $(a_n x)$ is uniformly distributed modulo one. In particular, for almost every $x$ in the unit interval, the sequence $(a_n x)$ is uniformly distributed modulo one for every computable sequence $(a_n)$ of distinct integers. Call such an $x$ UD random. Here it is shown that every Schnorr random real is UD random, but there are (...) Kurtz random reals that are not UD random. On the other hand, Weyl's theorem still holds relative to a particular effectively closed null set, so there are UD random reals that are not Kurtz random. (shrink)

"L'Introduction aux principes de morale et de législation de Jeremy Bentham, paru en 1789, est un ouvrage en tout point remarquable, quoique trop méconnu aujourd'hui. Il poursuit en effet trois objets distincts mais complémentaires : définir le principe d'utilité, ce principe dont la force critique reste sensible en toute réflexion morale ; quantifier les « ressorts de l'action » qui sont au fondement de la psychologie humaine, afin de permettre le calcul utilitariste, un calcul qui n'est jamais totalement absent (...) de la pensée éthique, économique ou sociologique ; poser les éléments nécessaires à l'établissement d'un code pénal, la classification des infractions et la théorie de la punition incitant à penser les conditions de possibilité d'une théorie générale du droit. Ce volume n'a d'une introduction que son titre, et il est de toute évidence la matrice de toute une partie de la pensée benthamienne. S'il est vrai, comme on a pu le dire, que notre époque traverse une réversion utilitariste, la traduction de cet ouvrage en français, pour la première fois intégrale, met à disposition du lecteur un texte lucide et clair."--Page 4 de la couverture. (shrink)

Given a sequence of sets An⊆{0,…,n−1}, the Furstenberg correspondence principle provides a shift-invariant measure on2N that encodes combinatorial information about infinitely many of the An's. Here it is shown that this process can be inverted, so that for any such measure, ergodic or not, there are finite sets whose combinatorial properties approximate it arbitarily well. The finite approximations are obtained from the measure by an explicit construction, with an explicit upper bound on how large n has to be to yield (...) a sufficiently good approximation. We draw conclusions for computable measure theory, and show, in particular, that given any computable shift-invariant measure on 2N, there is a computable element of 2N that is generic for the measure. We also consider a generalization of the correspondence principle to countable discrete amenable groups, and once again provide an effective inverse. (shrink)

For most of its history, mathematics was fairly constructive: • Euclidean geometry was based on geometric construction. • Algebra sought explicit solutions to equations. Analysis, probability, etc. were focused on calculations. Nineteenth century developments in analysis challenged this view. A sequence (an) in a metric space is said Cauchy if for every ε > 0, there is an m such that for every n, n ≥ m, d (a n , a n ) < ε.

Neo-Fregean logicists claim that Hume’s Principle (HP) may be taken as an implicit definition of cardinal number, true simply by fiat. A long-standing problem for neo-Fregean logicism is that HP is not deductively conservative over pure axiomatic second-order logic. This seems to preclude HP from being true by fiat. In this paper, we study Richard Kimberly Heck’s Two-Sorted Frege Arithmetic (2FA), a variation on HP which has been thought to be deductively conservative over second-order logic. We show that it isn’t. (...) In fact, 2FA is not conservative over n-th order logic, for all $n \geq 2$. It follows that in the usual one-sorted setting, HP is not deductively Field-conservative over second- or higher-order logic. (shrink)

V’yugin has shown that there are a computable shift-invariant measure on $2^{\mathbb{N}}$ and a simple function $f$ such that there is no computable bound on the rate of convergence of the ergodic averages $A_{n}f$ . Here it is shown that in fact one can construct an example with the property that there is no computable bound on the complexity of the limit; that is, there is no computable bound on how complex a simple function needs to be to approximate the (...) limit to within a given $\varepsilon$. (shrink)

RÉSUMÉ: En excluant le monopole juridictionnel de la souveraineté afin de préserver une autorité supérieure aux souverains, Leibniz réduit celle-ci au seul monopole de la coercition. Cependant, cette redéfinition de la souveraineté place la guerre au cœur des relations internationales. Elle est, en tant que faculté, la condition de participation pour les souverains au «droit des gens», droit qui lui-même doit éviter de tellesguerres. La paix n’est donc pour Leibniz qu’au prix de l’établissement d’un équilibre entre forces contraires qui, en (...) s’opposant et si elles sont de même intensité, annulent réciproquement leurs effets. C’est cette conception dynamique de l’ordre politique que cet article se propose de traiter.ABSTRACT: This article deals with Leibniz’s dynamic conception of political order. Leibniz reduces the sovereignty of States to the monopoly of coercion by setting apart jurisdictional monopoly and sovereignty. With this new definition of sovereignty however, war becomes the core of international relations. The sovereigns’ ability to make war is the condition to take part in law of nations, whose precise aim is to prevent wars. Peace can only exist if there is a balance between opposite forces of similar magnitude that cancel each other. (shrink)