The dichotomy between the conceptual and the empirical is part of common sense, yet its organizing force also extends to intellectual life more generally, including the disciplinary life of science and technology studies. This article problematizes this dichotomy as it operates in contemporary STS discussions, arguing instead that the conceptual and the empirical form unstable hybrids. Beginning with a discussion of the “discontents” with which the dominant theory methods packages in STS are viewed, it is suggested that STS has entered (...) a phase resembling Kuhnian normal science. Based on a discussion of the making of cognitive dissonance theory, it is then argued conceptual–empirical mixtures are unavoidable in actual research practice. This situation can be taken as an encouragement for more sustained exploration of conceptual–empirical relations and their inventive potentials. Invoking Deleuze and Guattari’s notion of “continuous variation,” the article concludes that STS as a discipline is well served by promoting an ethos of empirical and conceptual experimentation. (shrink)

Let us say that a thing is gunky just in case every part of that thing has proper parts. The idea that all physical objects are gunky seems sufficiently sweeping, interesting, and plausible that it is worth examining. However, there is a difficulty. The features of an extended object can surely vary continuously. If an object is gunky then it cannot have point-sized parts which have no further parts. But how can one conceive of a continuous variation in (...) features other than as the obtaining of different features at different point sized locations? (shrink)

Both the traditional Aristotelian and modern symbolic approaches to logic have seen logic in terms of discrete symbol processing. Yet there are several kinds of argument whose validity depends on some topological notion of continuous variation, which is not well captured by discrete symbols. Examples include extrapolation and slippery slope arguments, sorites, fuzzy logic, and those involving closeness of possible worlds. It is argued that the natural first attempts to analyze these notions and explain their relation to reasoning (...) fail, so that ignorance of their nature is profound. (shrink)

We study the problem of minimizing $\int _\Omega F)\, dx \;$ over the functions $u\in W^{1,1}$ that assume given boundary values $\phi $ on $\Gamma := \partial \Omega $. The lagrangian $F$ and the domain $\Omega $ are assumed convex. A new type of hypothesis on the boundary function $\phi $ is introduced: the lower bounded slope condition. This condition, which is less restrictive than the familiar bounded slope condition of Hartman, Nirenberg and Stampacchia, allows us to extend the classical (...) Hilbert-Haar regularity theory to the case of semiconvex boundary data. We prove in particular that the solution is locally Lipschitz in $\Omega $. In certain cases, as when $\Gamma $ is a polyhedron or else of class $C^{1,1}$, we obtain in addition a global Hölder condition on $\,\overline{\!\,\Omega }$. (shrink)

The content of existence theorems in the calculus of variations has been explored and an effective treatment of semi-continuity has been achieved. An algorithm has been developed which captures the natural algorithmic content of the notion of a semi-continuous function and this is used to obtain an effective version of the “chattering lemma” of control theory and ordinary differential equations. This lemma reveals the main computational content of the theory of relaxed optimal control.

Hume? Yes, David Hume, that's who Jerry Fodor looks to for help in advancing our understanding of the mind. Fodor claims his Treatise of Human Nature as the foundational document of cognitive science: it launched the project of constructing an empirical psychology on the basis of a representational theory of mind. Going back to this work after more than 250 years we find that Hume is remarkably perceptive about the components and structure that a theory of mind requires. Careful study (...) of the Treatise helps us to see what's amiss with much twentieth-century philosophy of mind, and to get on the right track. Hume says in the Treatise that his main project is to construct a theory of human nature and, in particular, a theory of the mind. Hume Variations examines his account of cognition and how it is grounded in his 'theory of ideas'. Fodor discusses such key topics as the distinction between 'simple' and 'complex' ideas, the thesis that an idea is some kind of picture, and the roles that 'association' and 'imagination' play in cognitive processes. He argues that the theory of ideas, as Hume develops it, is both historically and ideologically continuous with the representational theory of mind as it is now widely endorsed by cognitive scientists. This view of Hume is explicitly opposed to recent discussions by critics who hold that the theory of ideas is the Achilles heel of his philosophy and that he would surely have abandoned it if only he had read Wittgenstein carefully.You don't have to know much about Hume to enjoy this inventively argued, provocative, and stimulating defence of the representational theory of mind--which is looking increasingly hard to resist.LINES OF THOUGHTPhilosophy books don't need to be hundreds of pages long to make a substantial contribution to the subject. This new series presents original works by leading philosophers at an affordable price and a readable length. Series EditorsPeter Ludlow Scott Sturgeon. (shrink)

Are they needed? To be sure. The Darwinian industry, industrious though it is, has failed to provide texts of more than a handful of Darwin's books. If you want to know what Darwin said about barnacles (still an essential reference to cirripedists, apart from any historical importance) you are forced to search shelves, or wait while someone does it for you; some have been in print for a century; various reprints have appeared and since vanished." -Eric Korn,Times Literary Supplement Charles (...) Robert Darwin (1880-1882) has been widely recognized since his own time as one of the most influential writers in the history of Western thought. His books were widely read by specialists and the general public, and his influence had been extended by almost continuous public debate over the last 130 years. New York University Press' edition makes it possible for the first time to review Darwin's public literary output as a whole, plus his scientific journal articles, his private notebooks, and his correspondence. This is the first complete edition containing all of Darwin's published books, featuring definitive texts recording original paginations with Darwin's indexes retained. All illustrations and plates are presented, inclucing 82 color plates of birds and mammals and several folding maps and plates. The set also features a general introduction and index, and textural introductions in each volume. (shrink)

Notable in cross-cultural comparisons is the variable span of time between when children become economically self-sufficient and when they initiate their own reproductive careers. That variation is of interest because it shapes the age range of children reliant on others for support and the age range of children available to help out, which in turn affects the competing demands on parents to support multiple dependents of different ages. The age at positive net production is used as a proxy to (...) estimate the close of juvenile economic dependence among a group of Maya subsistence agriculturalists. Maya children produce more than they consume by their early to mid teens but remain in their natal households for a number of years before leaving home and beginning families of their own. The Maya results contrast markedly with those from several groups of hunter-gatherers and horticulturalists for whom we have similar data. Even in the Maya case, where children are self-sufficient at a relatively young age, parents are unable to support their children without help from others. The production surplus of older children appears to help underwrite the cost of large Maya families and subsidize their parents’ continued reproduction. (shrink)

To remain financially viable and continue to accomplish their social missions, nonprofits are increasingly adopting a hybrid organizational form that combines commercial and social welfare logics. While studies recognize that individual organizations vary in how they incorporate and manage hybridity, variation at the level of the organizational form remains poorly understood. Existing studies tend to treat forms as either hybrid or not, limiting our understanding of the different ways a hybrid form may combine multiple logics and how such combinations (...) evolve over time. Analyzing 14 years of data from Canadian nonprofits seeking funding for social enterprise activities, we identify two novel dimensions along which a hybrid form may vary—the locus of integration and the scope of logics. We further find that as the commercial logic became more widespread within the nonprofit sector, variants of the hybrid form shifted from primarily emphasizing the commercial logic to more equally emphasizing both the commercial and social welfare logics and integrating the two logics in multiple ways. Drawing on these findings, we contribute a multi-dimensional conception of hybrid forms and theorize how form-level variation in hybridity can arise from organization-level cognitive challenges that actors face when combining seemingly incompatible logics. We then build on this theorizing to offer an alternative perspective on commercialization of the nonprofit sector as a contextually dependent rather than universal trend. (shrink)

Explains Aristotle's views on the possibility of continuous variation between biological species. While the Porphyrean/Linnean classification of species by a tree suggests species are distributed discretely, Aristotle admitted continuous variation between species among lower life forms.

Notable in cross-cultural comparisons is the variable span of time between when children become economically self-sufficient and when they initiate their own reproductive careers. That variation is of interest because it shapes the age range of children reliant on others for support and the age range of children available to help out, which in turn affects the competing demands on parents to support multiple dependents of different ages. The age at positive net production is used as a proxy to (...) estimate the close of juvenile economic dependence among a group of Maya subsistence agriculturalists. Maya children produce more than they consume by their early to mid teens but remain in their natal households for a number of years before leaving home and beginning families of their own. The Maya results contrast markedly with those from several groups of hunter-gatherers and horticulturalists for whom we have similar data. Even in the Maya case, where children are self-sufficient at a relatively young age, parents are unable to support their children without help from others. The production surplus of older children appears to help underwrite the cost of large Maya families and subsidize their parents’ continued reproduction. (shrink)

It is shown that in any model of constructive mathematics in which a certain omniscience principle is false, for strongly extensional functions on an interval the distinction between sequentially continuous and regulated disappears. It follows, without the use of Markov's Principle, that any recursive function of bounded variation on a bounded closed interval is recursively sequentially continuous.

Nous présentons une étude originale en cours visant la compréhension des relations entre variations sociolinguistiques et réseau social. Sa démarche empirique repose sur le recueil de données sociales et langagières massives et longitudinales au sein d’une école maternelle. Environ 200 individus (enfants et adultes) sont équipés une semaine par mois pendant 3 ans de capteurs qui enregistrent en continu à la fois leurs interactions verbales et leurs contacts sociaux. Dans cet article, à visée principalement méthodologique, nous exposons les dispositifs mis (...) en place pour le recueil et les procédures mises en œuvre pour la transcription et l’annotation de données orales massives. Enfin, nous présentons les potentialités offertes par ce type de recueil pour affiner, automatiser et systématiser l’analyse variationniste des relations entre réseau social et variations sociolinguistiques. (shrink)

'Modern History' views claim that in order for a trait X to have the proper function F, X must have been recently favored by natural selection for doing F (Griffiths 1992, 1993; Godfrey-Smith 1994). For many traits with prototypical proper functions, however, such recent selection may not have occurred, since traits may have been maintained owing to lack of variation or selection for other effects. I explore this flaw in Modern History accounts and offer an alternative etiological theory, which (...) I call the 'Continuing Usefulness' account. According to my view, a trait has the proper function F if and only if, first, the trait was favored by selection for doing F at some point (perhaps far in the past), and, secondly, the trait has recently contributed to survival and reproduction by doing F. This separates the requirement involving natural selection from the one involving the recent past, two issues that the Modern History account conflates. The clear separation allows a detailed analysis of the causal judgments and form of adaptationism that ground the etiological approach to function. (shrink)

Objectives: Machine learning (ML) has the potential to facilitate “continual learning” in medicine, in which an ML system continues to evolve in response to exposure to new data over time, even after being deployed in a clinical setting. In this article, we provide a tutorial on the range of ethical issues raised by the use of such “adaptive” ML systems in medicine that have, thus far, been neglected in the literature. -/- Target audience: The target audiences for this tutorial are (...) the developers of ML AI systems, healthcare regulators, the broader medical informatics community, and practicing clinicians. -/- Scope: Discussions of adaptive ML systems to date have overlooked the distinction between 2 sorts of variance that such systems may exhibit—diachronic evolution (change over time) and synchronic variation (difference between cotemporaneous instantiations of the algorithm at different sites)—and underestimated the significance of the latter. We highlight the challenges that diachronic evolution and synchronic variation present for the quality of patient care, informed consent, and equity, and discuss the complex ethical trade-offs involved in the design of such systems. (shrink)

Chance has been a focus of attention ever since the beginning of population genetics, but neutrality has not, as natural selection once appeared to be the only worthwhile issue. Neutral change became a major source of interest during the neutralist–selectionist debate, 1970–1980. It retained interest beyond this period for two reasons that contributed to its becoming foundational for evolutionary reasoning. On the one hand, neutral evolution was the first mathematical prediction to emerge from Mendelian inheritance: until then evolution by natural (...) selection was considered the alternative to the fixity of species; now it appears to be the alternative to continuous change. Second, neutral change generated a set of clear predictions on standing variation. These could be used as a reference for detecting more elusive alternative mechanisms of evolution including natural selection. In the wake of the transition from Mendelism to genomics, the combination of coalescent theory, DNA sequence variation, and numerical analysis made it possible to integrate contingent aspects of the history of species into a new null model, thus opening a new dimension in the concept of population that the Modern Synthesis formerly considered as a mere gene pool. (shrink)

The process of antigenic variation in parasitic African trypanosomes is a remarkable mechanism for outwitting the immune system of the mammalian host, but it requires a delicate balancing act for the monoallelic expression, folding and transport of a single variant surface glycoprotein (VSG). Only one of hundreds of VSG genes is expressed at time, and this from just one of ≈15 dedicated expression sites. By switching expression of VSGs the parasite presents a continuously shifting antigenic facade leading to prolonged (...) chronic infections lasting months to years. The basics of VSG structure and switching have been known for several decades, but recent studies have brought higher resolution to many aspects this process. New VSG structures, in silico modeling of infections, studies of VSG codon usage, and experimental ablation of VSG expression provide insights that inform how this remarkable system may have evolved. (shrink)

August Weismann is famous for having argued against the inheritance of acquired characters. However, an analysis of his work indicates that Weismann always held that changes in external conditions, acting during development, were the necessary causes of variation in the hereditary material. For much of his career he held that acquired germ-plasm variation was inherited. An irony, which is in tension with much of the standard twentieth-century history of biology, thus exists – Weismann was not a Weismannian. I (...) distinguish three claims regarding the germ-plasm: (1) its continuity, (2) its morphological sequestration, and (3) its variational sequestration. With respect to changes in Weismann’s views on the cause of variation, I divide his career into four stages. For each stage I analyze his beliefs on the relative importance of changes in external conditions and sexual reproduction as causes of variation in the hereditary material. Weismann believed, and Weismannism denies, that variation, heredity, and development were deeply intertwined processes. This article is part of a larger project comparing commitments regarding variation during the latter half of the nineteenth century. (shrink)

Most characters that distinguish one individual from another, like height or weight, vary continuously in populations. Continuous variation of these ‘quantitative’ traits is due to the simultaneous segregation of multiple quantitative trait loci (QTLs) as well as environmental influences. A major challenge in human medicine, animal and plant breeding and evolutionary genetics is to identify QTLs and determine their genetic properties. Studies of the classic quantitative traits, abdominal and sternopleural bristle numbers of Drosophila, have shown that: (1) many (...) loci have small effects on bristle number, but a few have large effects and cause most of the genetic variation; (2) ‘candidate’ loci involved in bristle development often have large quantitative effects on bristle number; and (3) alleles at QTLs affecting bristle number have variable degrees of dominance, interact with each other, and affect other quantitative traits, including fitness. Lessons learned from this model system will be applicable to studies of the genetic basis of quantitative variation in other species. (shrink)

In his new book, Husserl’s Missing Technologies, Don Ihde provides yet another, and highly enriching, iteration of postphenomenology. My comments here concern a couple of observations that he makes along the way with regard to the “scientific” status of philosophy and the question of whether philosophies, like technologies, have “use-lifes.” These remarks actually pierce through to the core of the postphenomenological theoretical corpus. In particular, there are consequences for the concept of multistability that need to be discussed: Are some stabilities (...) better than others? In asking that question, which deserves the most emphasis: actuality or potentiality? And to what extent is there a continuity between “ideas” (i.e., theories) and technologies? (shrink)

Graham Priest has frequently employed a construction in which a classical first-order model \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {A}$$\end{document} may be collapsed into a three-valued model \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {A}^{\sim }$$\end{document} suitable for interpretations in Priest’s logic of paradox. The source of this construction’s utility is Priest’s Collapsing Lemma, which guarantees that a formula true in the model \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {A}$$\end{document} (...) will continue to be true in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {A}^{\sim }$$\end{document}. In light of the utility and elegance of the Collapsing Lemma, extending variations of the lemma to other deductive calculi becomes very attractive. The aim of this paper is to map out some of the frontiers of the Collapsing Lemma by describing the types of expansions or revisions to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {LP}$$\end{document} for which the Collapsing Lemma continues to hold and a number of cases in which the lemma cannot be salvaged. Among what is shown is that the lemma holds for a strictly more expressive form of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {LP}$$\end{document} including nullary truth and falsity constants, that any conditional connective that can be added to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {LP}$$\end{document} without inhibiting the lemma must be theoremhood-preserving, and that the Collapsing Lemma extends to the paraconsistent weak Kleene logic \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {PWK}$$\end{document} as well. (shrink)

Vision consists of four essays: “Seeing distance,” “Size,” “Perceptual inference,” and “A Gibsonian alternative?” The continuous thread is the Berkeleian treatment of the perception of spatial properties, particularly in connection with what is and is not “immediately perceived.” The first two essays are closely connected with specific Berkeleian arguments and modern responses to them. The second two essays deal more generally with modern discussions by psychologists of whether visual perception is “direct” or “indirect.” The claims on the cover that (...) the book is “unique in its blend of philosophical and historical perspectives on contemporary issues in vision studies” and that it is “clearly written” and suitable “for an interdisciplinary readership in philosophy of mind, philosophy of science, cognitive psychology and history of science” are all entirely justified. (shrink)

In his new book, Husserl’s Missing Technologies, Don Ihde provides yet another, and highly enriching, iteration of postphenomenology. My comments here concern a couple of observations that he makes along the way with regard to the “scientific” status of philosophy and the question of whether philosophies, like technologies, have “use-lifes.” These remarks actually pierce through to the core of the postphenomenological theoretical corpus. In particular, there are consequences for the concept of multistability that need to be discussed: Are some stabilities (...) better than others? In asking that question, which deserves the most emphasis: actuality or potentiality? And to what extent is there a continuity between “ideas” (i.e., theories) and technologies? (shrink)

When you look at a circular plate at an angle, it looks circular. But there also is a certain sense in which its look can be described as oval. When you move, the plate’s look changes with your perspective on it—nevertheless, it continues to look circular. This chapter investigates whether these “constancy in variation” phenomena can be explained in terms of the representational content of visual experience, and whether constancy in variation provides special, phenomenological, reasons to construe experience (...) as having centered contents. Concentrating on shape, it argues that due to warring phenomenological demands, all views construing constancy in variation as representation of both objective and perspectival properties or features have limited explanatory powers, and that centering does not provide any advantage. By contrast, adopting the non-standard intentionalism called phenomenal intentionalism, we get rather natural explanations of the phenomenology of constancy in variation. (shrink)

While the rise of a ‘dictatorship of relativism’ was a longstanding concern for Joseph Ratzinger/Pope Benedict XVI, some commentators have suggested that—for better or for worse—the challenge posed by relativism appears to be less of a priority for Pope Francis. Indeed, Francis's remark, ‘Who am I to judge?’ appears to have become as much the defining soundbite for his papacy as the ‘dictatorship of relativism’ was for Benedict's. Contrary to these perceptions, this article argues that a critique of relativism is (...) in fact a central aspect of Pope Francis's magisterium. Francis exhibits continuity with Benedict by amplifying his concerns about the danger of attempting to reconstruct reality according to human desire, but Francis also develops his predecessor's teaching by introducing the category of ‘practical relativism’. With this development, relativism cannot be dismissed as a theoretical problem that only plagues those who refuse to assent to the truth intellectually. The willingness to set aside the truth to which one assents when it proves inconvenient represents a more pernicious—precisely because more subtle—form of relativism that Francis argues must be rooted out, not by argument, but through self‐examination and the practice of solidarity. (shrink)

A simple random walk model has been shown by Gaveauet al. to give rise to the Klein-Gordon equation under analytic continuation. This absolutely most probable path implies that the components of the Dirac wave function have a common phase; the influence of spin on the motion is neglected. There is a nonclassical path of relative maximum likelihood which satisfies the constraint that the probability density coincide with the quantum mechanical definition. In three space dimensions, and in the presence of electromagnetic (...) interaction, the Lagrangian for this optimal, nonclassical path coincides with the Lagrangian of the Dirac particle. The nonrelativistic, or diffusion, limit is shown to be a formal consequence of Einstein's dynamical equilibrium condition; the continuity equation reduces to the same diffusion equation derived from Schrödinger's equation. The relativistic, massless limit, which would describe a neutrino, is comparable (in the sense of analytic continuation) to a nonviscous liquid whose molecules possess internal degrees of freedom. (shrink)

The ability to reason about how things were made is a pervasive aspect of how humans make sense of physical objects. Such reasoning is useful for a range of everyday tasks, from assembling a piece of furniture to making a sandwich and knitting a sweater. What enables people to reason in this way even about novel objects, and how do people draw upon prior experience with an object to continually refine their understanding of how to create it? To explore these (...) questions, we developed a virtual task environment to investigate how people come up with step‐by‐step procedures for recreating block towers whose composition was not readily apparent, and analyzed how the procedures they used to build them changed across repeated attempts. Specifically, participants (N = 105) viewed 2D silhouettes of eight unique block towers in a virtual environment simulating rigid‐body physics, and aimed to reconstruct each one in less than 60 s. We found that people built each tower more accurately and quickly across repeated attempts, and that this improvement reflected both group‐level convergence upon a tiny fraction of all possible viable procedures, as well as error‐dependent updating across successive attempts by the same individual. Taken together, our study presents a scalable approach to measuring consistency and variation in how people infer solutions to physical assembly problems. (shrink)

It is often argued that the indispensability of continuum models comes from their empirical adequacy despite their decoupling from the microscopic details of the modelled physical system. There is thus a commonly held misconception that temperature varying across a region of space or time can always be accurately represented as a continuous function. We discuss three inter-related cases of temperature modelling — in phase transitions, thermal boundary resistance and slip flows — and show that the continuum view is fallacious (...) on the ground that the microscopic details of a physical system are not necessarily decoupled from continuum models. We show how temperature discontinuities are present in both data (experiments and simulations) and phenomena (theory and models) and how discontinuum models of temperature variation may have greater empirical adequacy and explanatory power. The conclusions of our paper are: a) continuum idealisations are not indispensable to modelling physical phenomena and both continuous and discontinuous representations of phenomena work depending on the context; b) temperature is not necessarily a continuously defined function in our best scientific representations of the world; and c) that its continuity, where applicable, is a contingent matter. We also raise a question as to whether discontinuous representations should be considered truly de-idealised descriptions of physical phenomena. (shrink)

A new conceptual framework is proposed to situate and integrate the parallel theories of Turchin, Powers, Campbell and Simon. A system is defined as a constraint on variety. This entails a 2 × 2 × 2 classification scheme for “higher‐order” systems, using the dimensions of constraint, (static) variety, and (dynamic) variation. The scheme distinguishes two classes of metasystems from supersystems and other types of emergent phenomena. Metasystems are defined as constrained variations of constrained variety. Control is characterized as a (...) constraint exerted by a separate system. The emergence of hierarchical systems is motivated by evolutionary principles. The positive feedback between variety and constraint, which underlies the “branching growth of the penultimate level,” leads to the interpretation of metasystem transitions as phases of accelerated change in a continuous evolutionary progression toward increasing variety. The most important MSTs in the history of evolution are reinterpreted in this framework: mechanical motion, dissipative structuration, life, multicellular differentiation, sexuality, simple reflex, complex reflex, associating, thinking, metarationality and social interaction. (shrink)

If X is a locally compact Polish space, then LSC denotes the compact Polish space of lower semi-continuous real-valued functions on X equipped with the topology of epi-convergence.Our purpose in this article is to prove the following: if –∞ < α < β < ∞ and –∞ < a < b < ∞, while r ∈ ℕ \ {0}, then the set CV of all f ∈ LSC for which there is u ∈ Cr such that for any v (...) ∈ Cr we have that ∫αβf , v ′)dx ≥ ∫αβf , v )dx is not Borel. (shrink)

I SHOULD LIKE TO EXAMINE THE PLAUSIBILITY AND CONSEQUENCES of a particular view of the nature of metaphysics, especially in its relation to immediate human experience which it is designed to illuminate. In order to make the consideration concrete I shall apply this interpretation to a familiar controversy about the nature of time. One view, accepted by Whiteheadian process philosophers, is that time is actually episodic, atomic, epochal. The contrasting view, that of Henri Bergson among others, is that time is (...) continuous, even though it embodies temporal qualitative variations. (shrink)

This chapter examines whether space and extended bodies are ultimately composed of points (and point‐masses) or spatial regions (and voluminous bodies). It focuses on three positions: Pointillism, according to which only points and point‐sized bodies are fundamental; Voluminism, according to which the only fundamental things are regions and voluminous bodies; and Volume‐Boundary Dualism, according to which both points and regions really exist and are equally fundamental. The first prima facie problem for Voluminism concerns continuous variation. The chapter looks (...) at the idea of constructing points from regions and concerns whether points or regions are fundamental. It lays out three arguments against Pointillism, the thesis that points are the only fundamental entities, namely, the arguments from Finitism, from mathematical paradoxes, and from the nature of contact. Aristotelian Finitists can explain why some sets of points have measurable volume and why some do not. (shrink)

A special issue of_ New German Critique_ The posthumous publication of Theodor W. Adorno’s works on music continues to reveal the special relationship between music and philosophy in his thinking. These important works have not, however, received as much scholarly attention as they deserve. Contributors to this issue seek to provide insight into some of the key themes raised in these works, including the sociology of musical genre, the historical transformation of music from the "heroic" or high-bourgeois era to late (...) modernity, the meaning of both performance and listening in the era of mass communication, and the specific challenges or deformations of the radio on musical form, a theme that implicates many of the digital practices of our own age. There is much left to discover in these new publications, and they pose again, with renewed vigor, the question of Adorno’s _Aktualität_—his polyvalent, untranslatable term for, among other things, the intellectual relationship between the present and the past. Contributors Daniel K. L. Chua, Lydia Goehr, Peter E. Gordon, Martin Jay, Brian Kane, Max Paddison, Alexander Rehding, Fred Rush, Martin Scherzinger. (shrink)

This paper, part II of a two-part project, continues to explore the meaning of spontaneous symmetry breaking (SSB) by applying and expanding the general notion we obtained in part I to some more complex and, from the physics point of view, more important models (in condensed matter physics and in quantum field theories).

Since the idea of a canon seems so closely bound up with the idea of history, there should be something to be learned from the persistent efforts that have been going on for nearly two hundred years to extend the musical repertory back in time. What is involved here is nothing less than a continuous effort to endow music with a history. From the workings of this process in the nineteenth century, we learn that where the ideology is right (...) the past can indeed yield up a canon of works and even a canon of performance. Bach, to take the most weighty example, would appear to have entered the canon—Hoffman’s canon—before entering the repertory. The history of the nineteenth-century Bach revival begins as a triumph of ideology over practice. Only after J. N. Forkel, in his famous biography, canonized Bach as the archetypal German master was The Well-tempered Clavier published for the first time—and if any one work of music deserved to be called canonic, it would have to be The Well-tempered Clavier.14 Gradually other Bach works, works which fitted better into nineteenth-century concert life, did enter various nineteenth-century repertories; Mendelssohn’s revival of the St. Matthew Passion is a famous landmark, and various piano transcriptions and orchestral arrangements, not to speak of Gounod’s “Ave Maria,” followed in due course. Bach was made to sound like a premature Romantic. There was as yet no call for historical “authenticity.” But I do not think it was Bach that Hood was thinking of when he complained of musical traditions of the past whose “real identities are gone.” The skeleton may not have been bodied out with authentic flesh and blood, but it was made into a handsome waxwork which was quite real enough for the nineteenth century. 14. This point is made by Crocker, “Is There Really a ‘Written Tradition’?” Joseph Kerman, professor of music at the University of California, Berkeley, is the author of Opera as Drama, The Beethoven Quartets, The Masses and Motets of William Byrd, and The New Grove Beethoven. He is also coeditor of Beethoven Studies and Nineteenth-Century Music and is presently working on a concise study of modern musical scholarship. “How We Got into Analysis, and How to Get Out,” his previous contribution to Critical Inquiry, appeared in the Winter 1980 issue. (shrink)

2500 years ago, Socrates wrestled with the question: Can virtue be taught? And I’m still at it. I recall my experience as an Ethical Culture Leader, the head of the Ethical Culture Fieldston Schools, and Board Chair of the Ethical Community Charter School in Jersey City. Once more, I reflect on a life-long vocation: the problem of knowing, judging, deciding, and acting ethically. Can virtue be taught? Socrates answered “yes” and “no.” Figuring out what that means remains a continuing puzzle, (...) which inspired this article. (shrink)

In the literature investigating the long history of appeals to ‘nature’, in its multiple meanings, for rules of conduct or justification of social order, little attention has been paid to a long-standing tradition in which medical and physiological arguments merged into moral and social ones. A host of medical authors, biologists, social writers and philosophers assumed that nature spoke its moral language not only in its general economy, but also within and through the body. This is why, for instance, many (...) critics of Malthus argued that physiological self-regulating mechanisms ensured a spontaneous adaptation of fertility to the circumstances. Beliefs in a beneficent economy of nature persisted when Providence was replaced by evolution. To some, they provided reasons for hope even when others worried about ‘unfit’ members of society increasing at a quicker rate than ‘fit’ ones. The nerves gradually replaced food and blood as moral mediators between society and the body. When faith in bio-social progress was shaken by degeneration theories, and fin de siècle anxiety concerned underpopulation rather than overpopulation, not an insignificant proportion of those who emphasised the bad effects of modern civilisation resorted to ideas and arguments based on a view of the body in which physiology and morality worked together. A common language and common assumptions linked the Kulturpessimisten to their optimistic eighteenth-century colleagues, in spite of their different forecasts. The present paper traces continuities and discontinuities in the operation of a persistent set of interrelated ideas and assumptions on the coalescence of the physiological and the moral across disciplines and contexts. (shrink)

In the literature investigating the long history of appeals to ‘nature’, in its multiple meanings, for rules of conduct or justification of social order, little attention has been paid to a long-standing tradition in which medical and physiological arguments merged into moral and social ones. A host of medical authors, biologists, social writers and philosophers assumed that nature spoke its moral language not only in its general economy, but also within and through the body. This is why, for instance, many (...) critics of Malthus argued that physiological self-regulating mechanisms ensured a spontaneous adaptation of fertility to the circumstances. Beliefs in a beneficent economy of nature persisted when Providence was replaced by evolution. To some, they provided reasons for hope even when others worried about ‘unfit’ members of society increasing at a quicker rate than ‘fit’ ones. The nerves gradually replaced food and blood as moral mediators between society and the body. When faith in bio-social progress was shaken by degeneration theories, and fin de siècle anxiety concerned underpopulation rather than overpopulation, not an insignificant proportion of those who emphasised the bad effects of modern civilisation resorted to ideas and arguments based on a view of the body in which physiology and morality worked together. A common language and common assumptions linked the Kulturpessimisten to their optimistic eighteenth-century colleagues, in spite of their different forecasts. The present paper traces continuities and discontinuities in the operation of a persistent set of interrelated ideas and assumptions on the coalescence of the physiological and the moral across disciplines and contexts. (shrink)

In the literature investigating the long history of appeals to ‘nature’, in its multiple meanings, for rules of conduct or justification of social order, little attention has been paid to a long-standing tradition in which medical and physiological arguments merged into moral and social ones. A host of medical authors, biologists, social writers and philosophers assumed that nature spoke its moral language not only in its general economy, but also within and through the body. This is why, for instance, many (...) critics of Malthus argued that physiological self-regulating mechanisms ensured a spontaneous adaptation of fertility to the circumstances. Beliefs in a beneficent economy of nature persisted when Providence was replaced by evolution. To some, they provided reasons for hope even when others worried about ‘unfit’ members of society increasing at a quicker rate than ‘fit’ ones. The nerves gradually replaced food and blood as moral mediators between society and the body. When faith in bio-social progress was shaken by degeneration theories, and fin de siècle anxiety concerned underpopulation rather than overpopulation, not an insignificant proportion of those who emphasised the bad effects of modern civilisation resorted to ideas and arguments based on a view of the body in which physiology and morality worked together. A common language and common assumptions linked the Kulturpessimisten to their optimistic eighteenth-century colleagues, in spite of their different forecasts. The present paper traces continuities and discontinuities in the operation of a persistent set of interrelated ideas and assumptions on the coalescence of the physiological and the moral across disciplines and contexts. (shrink)

Consider a sequence of outcomes of descending value, A > B > C >... > Z. According to Larry Temkin, there are reasons to deny the continuity axiom in certain ‘extreme’ cases, i.e. cases of triplets of outcomes A, B and Z, where A and B differ little in value, but B and Z differ greatly. But, Temkin argues, if we assume continuity for ‘easy’ cases, i.e. cases where the loss is small, we can derive continuity for the ‘extreme’ case (...) by applying the axiom of substitution and the axiom of transitivity. The rejection of continuity for ‘extreme’ cases therefore renders the triad of continuity in ‘easy’ cases, the axiom of substitution and the axiom of transitivity inconsistent.As shown by Arrhenius and Rabinowitz, Temkin's argument is flawed. I present a result which is stronger than their alternative proof of an inconsistency. However, this result is not quite what Temkin intends, because it only refers to an ordinal ranking of the outcomes in the sequence, whereas Temkin appeals to intuitions about the size of gains and losses. Against this background, it is argued that Temkin's trilemma never gets off the ground. This is because Temkin appeals to two mutually inconsistent conceptions of aggregation of value. Once these are clearly separated, it will transpire, in connection with each of them, that one of the principles to be rejected does not appear plausible. Hence, there is nothing surprising or challenging about the result; it is merely a corollary to Expected Utility Theory. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

In What is Philosophy?, Deleuze and Guattari define philosophy, famously, as an activity that consists in forming, inventing, and fabricating concepts.” But this definition of philosophy implies a somewhat singular “analytic of the concept,” to borrow Kant’s phrase. One of the problems it poses is the fact that concepts, from a Deleuzian perspective, have no identity but only a becoming. This paper examines the nature of this problem, arguing that the aim of Deleuze analytic is to introduce the form of (...) time into concepts in terms of what he calls “continuous variation” or “pure variability.” The aim is not to rediscover the eternal or the universal, but to find the conditions under which something new is produced (creativeness). (shrink)

The study of historiography is undergoing a revolution akin to that which took place in the history of political thought in the 1960s, and the work of J.G.A. Pocock is central to both. Pocock's continuing exploration, in Barbarism and Religion (1999-), of the intellectual contexts of Gibbon's History of the Decline and Fall of the Roman Empire, is central to this enterprise, and this essay situates the origins of his own work within a pre-‘Cambridge School’ Cambridge and its experience of (...) what might be called the Butterfieldian moment. That was marked by a desire to treat religion seriously as a driving force in history; and the same concern is applied here to further understanding an eighteenth-century controversy in which history and religion were dramatically involved, and which profoundly affected Gibbon's own historical and religious views. The work of Conyers Middleton and John Jortin is critically examined from this perspective. These preludes to Gibbon lead to a series of postludes examining the particular contexts in which Victorian and twentieth-century historians and writers, from Henry Hart Milman to Evelyn Waugh, variously appreciated and interpreted Gibbon. The whole is to be seen as a reflexive engagement with Pocock's vitally illuminating studies in eighteenth-century historiography. ☆ A slightly revised version of a lecture given at the University of Sussex on 22nd May 2008, on the occasion of a colloquium devoted to J.G.A. Pocock's Barbarism and Religion. It had originally acted as a prelude to a lecture by Pocock on the same occasion, subsequently published as ‘Gibbon and the invention of Gibbon: chapters 15 and 16 reconsidered’, History of European Ideas 35 (2009), 209–16. In this sense, therefore, the present essay has become a postlude. I am deeply grateful to Noël Sugimura for generously reading and commenting on the rescoring of a lecture into an essay. (shrink)

This paper describes the historical background and early formation of Wilhelm Johannsen's distinction between genotype and phenotype. It is argued that contrary to a widely accepted interpretation his concepts referred primarily to properties of individual organisms and not to statistical averages. Johannsen's concept of genotype was derived from the idea of species in the tradition of biological systematics from Linnaeus to de Vries: An individual belonged to a group - species, subspecies, elementary species - by representing a certain underlying type. (...) Johannsen sharpened this idea theoretically in the light of recent biological discoveries, not least those of cytology. He tested and confirmed it experimentally combining the methods of biometry, as developed by Francis Galton, with the individual selection method and pedigree analysis, as developed for instance by Louis Vilmorin. The term "genotype" was introduced in W. Johannsen's 1909 treatise, but the idea of a stable underlying biological "type" distinct from observable properties was the core idea of his classical bean selection experiment published 6 years earlier. The individual ontological foundation of population analysis was a self-evident presupposition in Johannsen's studies of heredity in populations from their start in the early 1890s till his death in 1927. The claim that there was a "substantial but cautious modification of Johannsen's phenotype-genotype distinction" from a statistical to an individual ontological perspective derives from a misreading of the 1903 and 1909 texts. The immediate purpose of this paper is to correct this reading of the 1903 monograph by showing how its problems and results grow out of Johannsen's earlier work in heredity and plant breeding. Johannsen presented his famous selection experiment as the culmination of a line of criticism of orthodox Darwinism by William Bateson, Hugo de Vries, and others. They had argued that evolution is based on stepwise rather than continuous change in heredity. Johannsen's paradigmatic experiment showed how stepwise variation in heredity could be operationally distinguished from the observable, continuous morphological variation. To test Galton's law of partial regression, Johannsen deliberately chose pure lines of self-fertilizing plants, a pure line being the descendants in successive generations of one single individual. Such a population could be assumed to be highly homogeneous with respect to hereditary type, and Johannsen found that selection produced no change in this type. Galton, he explained, had experimented with populations composed of a number of stable hereditary types. The partial regression which Galton found was simply an effect of selection between types, increasing the proportion of some types at the expense of others. (shrink)

In many applications of information theory, information measures the reduction of uncertainty that results from the knowledge that an event has occurred. Even so, an item of information learned need not be the occurrence of an event but, rather, the change in probability distribution associated with an ensemble of events. This paper examines the basic account of information, which focuses on events, and reviews how it may be naturally generalized to probability distributions/measures. The resulting information measure is special case of (...) the Rényi information divergence (also known as the Rényi entropy). This information measure, herein dubbed the variational information, meaningfully assigns a numerical bit-value to arbitrary state transitions of physical systems. The information topology of these state transitions is characterized canonically by a right and left continuity spectrum defined in terms of the Kantorovich- Wasserstein metric. These continuity spectra provide a theoretical framework for characterizing the informational continuity of evolving systems and for rigorously assessing the degree to which such systems exhibit, or fail to exhibit, continuous change. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 25.2 (2001) 347-350 [Access article in PDF] Book Review The Sin of Knowledge: Ancient Themes and Modern Variations, The Sin of Knowledge: Ancient Themes and Modern Variations, by Theodore Ziolkowski; xvi & 222 pp. Princeton: Princeton University Press, $29.95. After thirty-five years of teaching and administrating at Princeton University, dozens of books, and innumerable articles, the eminent Germanist Theodore Ziolkowski has turned his attention to a (...) theme appropriate for someone so immersed in the intellectual life: the sorrow and grief that accompany human knowledge. Although Ziolkowski has made great contributions in standard studies of genre (notably the elegy and the twentieth-century novel) and authors (Mann, Hesse, and Broch), he became especially well known for his theorization and implementation of thematic studies, ranging from the sublime--fictionalizations of the life of Jesus--to the humorous--talking animals in literature. The figures whom Ziolkowski has selected for analysis of the sin of knowledge are Adam, Prometheus, and Faust, each of whom he views through both an ancient and a modern lens.All three of these mythic heroes violate "divine prohibitions against the new knowledge" (p. 69). Less heroically, all of these myths treat women misogynistically. Generally, Ziolkowski sees each of these stories as having emerged in a time of crisis, when new opportunities presented humanity with knowledge both alluring and disruptive. Because these are highly elastic myths, able to provide meaning in a variety of contexts, they have all mutated in modern times. Adam's Fall comes to represent the human transition from innocence to consciousness, Prometheus becomes a symbol for socialism's promise, and Faust turns into a representative of the American way of life.Looking at the ancient legend of Adam, Ziolkowski notes that sexuality and wisdom are linked in many of the oldest texts in humanity's recorded history. The emphasis on knowledge, however, is especially strong in the Hebrew myth. While many Near Eastern traditions have stories with similarities to the Biblical account of Adam and Eve, only Hebrew mythology has the Tree of Knowledge. For Ziolkowski, the fact that this story was probably set down during the reign of King Solomon explains this emphasis on knowledge. Because the Age of Solomon was a time of unparalleled wealth and power for the Hebrews, [End Page 347] Ziolkowski argues that the tale of Adam and Eve is the kind of myth "produced by cultures that have reached a certain level of sophistication... and look back with a degree of nostalgia at an imagined simpler, happier existence" (p. 23). According to Ziolkowski, knowledge becomes a sin for the Hebrews as they come to terms with the limitations of everything that their knowledge has brought them even at the height of their power and glory.In the modern era, Ziolkowski continues, the story of Adam has become secularized, representing the transition of humanity from a state of innocence to one of consciousness. He finds references to the Fall in Voltaire's Candide, Kleist's The Broken Pitcher, E. T. A. Hoffmann's The Golden Pot, Melville's Billy Budd, and Hesse's Demian. The overall trend of these representations of the rise of consciousness has been increasingly negative, culminating in sentiments like those expressed by the East German author Günter Kunter, who argues that "our whole present misery and all the problems of industrial civilization" can be linked to "the moment when man used the first firestone as a tool, the Fall" (p. 107). As Ziolkowski concludes: "Two centuries of secularization have brought the modern Adam to a depressing end" (p. 108).Citing Nietzsche, who compared Prometheus to Adam (and Pandora to Eve), Ziolkowski looks first at Hesiod's depiction of Prometheus as a trickster and then to Aeschylus' hero. Unlike the authors of the story of Adam and Eve, though, Aeschylus depicts Prometheus' claim to divine knowledge in a positive light: "Rather than a humankind declining from a glorious golden age to the present deplorable iron age, Aeschylus sees humanity progressing by means of knowledge--the crafts, arts, and sciences--from blindness and ignorance... (shrink)

Où trouver la force de continuer à vivre quand des épreuves terribles privent de l'énergie ou du désir nécessaires pour perpétuer une existence devenue en apparence absurde? Les récits de résilience sont nombreux. Mais il aura fallu attendre Nietzsche pour que la philosophie s'empare avec acuité de cette question. ± [...] je fis de ma volonté de santé, de vivre, ma philosophie? : accablé d'une maladie terriblement douloureuse, l'auteur du Gai Savoir fait d'une expérience vécue un terrain d'expérimentation pour la (...) pensée. La force de vivre est exclusive chez lui de toute recherche d'un quelconque salut dans une foi ou dans une cause. Non pas fuir la maladie, mais se l'approprier en l'explorant par la pensée. En découlent une leçon et une question. Une leçon : la souffrance ne prive pas la vie de son sens, ni ne préjuge de sa valeur. Une question, celle du philosophe qui se fait ± médecin de la civilisation? : le nihilisme peut-il être surmonté? (shrink)