Reasonning in naive set theory (with unlimited comprehension), we derive a paradox (a formal contradiction) which can be seen as a variant of the Burali-Forti paradox.
We introduce a notion of syntactical truth predicate (s.t.p.) for the second order arithmetic PA 2 . An s.t.p. is a set T of closed formulas such that: (i) T(t = u) if and only if the closed first order terms t and u are convertible, i.e., have the same value in the standard interpretation (ii) T(A → B) if and only if (T(A) $\Longrightarrow$ T(B)) (iii) T(∀ x A) if and only if (T(A[x ← t]) for any closed first (...) order term t) (iv) T(∀ X A) if and only if (T(A[X ←▵]) for any closed set definition $\triangle = \{x \mid D(x)\}$ ). S.t.p.'s can be seen as a counterpart to Tarski's notion of (model-theoretical) validity and have main model properties. In particular, their existence is equivalent to the existence of an ω-model of PA 2 , this fact being provable in PA 2 with arithmetical comprehension only. (shrink)
Charles W. Colson (2006). Foreword. In Stephen Smallman (ed.), Spiritual Birthline: Understanding How We Experience the New Birth. Crossway Books.score: 30.0
The following interview was conducted on July 13, 2009 at the JFK Institute for Graduate Studies, Freie Universität in Berlin, shortly after a conference, entitled “Class in Crisis: Das Prekariat zwischen Krise und Bewegung,” at which Harvey delivered a keynote address. The conference, organized by the Rosa Luxemburg Foundation, engaged the political, socio-economic, and conceptual dimensions of the so-called precariat class. The precariat (das Prekariat or la précarité) is typically defined by short-term employment, persistent marginalization, and social insecurity—something of a (...) fragmented urban underclass whose precariousness is increasingly evident in traditionally middle-class economic life. While the concept of the precariat has yet to take root in English-language social theory, the work of Loïc Wacquant (who also delivered a keynote at the Berlin conference), for example, has been popularizing it. (shrink)
Increasingly the body is a possession that does not belong to us. It is bought and sold, bartered and stolen, marketed wholesale or in parts. The professions - especially reproductive medicine, transplant surgery, and bioethics but also journalism and other cultural specialists - have been pliant partners in this accelerating commodification of live and dead human organisms. Under the guise of healing or research, they have contributed to a new 'ethic of parts' for which the divisible body is severed from (...) the self, torn from the social fabric, and thrust into commercial transactions -- as organs, secretions, reproductive capacities, and tissues -- responding to the dictates of an incipiently global marketplace. Breaking with established approaches which prioritize the body as 'text', the chapters in this book examine not only images of the body-turned-merchandise but actually existing organisms considered at once as material entities, semi-magical tokens, symbolic vectors and founts of lived experience. The topics covered range from the cultural disposal and media treatment of corpses, the biopolitics of cells, sperm banks and eugenics, to the international trafficking of kidneys, the development of 'transplant tourism', to the idioms of corporeal exploitation among prizefighters as a limiting case of fleshly commodity. This insightful and arresting volume combines perspectives from anthropology, law, medicine, and sociology to offer compelling analyses of the concrete ways in which the body is made into a commodity and how its marketization in turn remakes social relations and cultural meanings. (shrink)
The agronomist who wants to study the nutrient and water uptake of roots needs a quantitative three-dimensional dynamic model of the structure of root systems.The model presented takes into account current knowledge about the morphogenesis of root systems. It describes the root system as a set of root axes, characterised by their orders. The morphogenetic properties of root axes differ according to their order. The axes of order 1 are directly inserted on the stem, the axes of order 2 are (...) inserted on axes of order 1, and so on. They tend to be more plagiotropec and to have less vascular bundles as the order increases. (shrink)
Morphogenesis is a key process in developmental biology. An important issue is the understanding of the generation of shape and cellular organisation in tissues. Despite of their great diversity, morphogenetic processes share common features. This work is an attempt to describe this diversity using the same formalism based on a cellular description. Tissue is seen as a multi-cellular system whose behaviour is the result of all constitutive cells dynamics. Morphogenesis is then considered as a spatiotemporal organization of cells activities. We (...) show how this formalism relies on Reaction–Diffusion/Positional Information approach and how it permits to generalize its modelling possibilities. Three quite different applications for concrete morphogenetic processes are presented. The first one is a model for epithelial invagination, the second is a model of cellular differentiation by local cell–cell signalling. The last example is the secondary radial growth of conifer trees. From the mathematical point of view, different modelling tools are used according to the specificity of each process. (shrink)
Bernard E. Harcourt, Illusion of Order: The False Promise of Broken Windows Policing Cambridge, MA: Harvard University Press, 2001, x + 294 pp. David Garland, The Culture of Control: Crime and Social Order in Contemporary Society Chicago: University of Chicago Press, 2001, xiii + 307 pp. Andrea McArdle and Tanya Erzen (eds.), Zero Tolerance: Quality of Life and the New Police Brutality in New York City New York: New York University Press, 2001, xvi + 299 pp. Phillipe Bourgois, In Search (...) of Respect: Selling Crack in El Barrio New York: Cambridge University Press, 1995, xii + 392 pp. Loïc Wacquant, Les Prisons de la Misère Paris: Raisons D'Agir Éditions, 1999, 189 pp. (shrink)
The sudden growth and glorification of the penal state in the United States after the mid-1970s (and in Western Europe two decades later) is not a response to the evolution of crime, but a reaction to—and a diversion from—the social insecurity produced by the fragmentation of wage labor and the destabilization of ethnoracial hierarchies following the discarding of the Fordist-Keynesian compact. It partakes of a new government of poverty wedding restrictive “workfare” and expansive “prisonfare,” which ensnares the precarious fractions of (...) the postindustrial proletariat in a carceral-assistential net designed to steer them towards deregulated employment or to contain them in their dispossessed neighborhoods and in the booming prisons that have become their satellites. This policy of penalization of urban marginality guided by moral behaviorism partakes of a broader reengineering and remasculinizing of the state that has rendered obsolete the traditional scholarly and policy division between welfare and crime. It must be grasped, not under the narrow rubric of repression, but under the generative category of production, as it has spawned new state agencies, social types, knowledges and experts. It makes the study of incarceration an essential chapter in the sociology of the state and social stratification in the era of triumphant neoliberalism. (shrink)
The Dean-Colson list of enemies, a minor feature of the whole affair, is a revealing index of the miscalculations of Nixon's mafia and raises obvious questions about the general response. The list elicited varied reactions, ranging from flippancy to indignation. But suppose that there had been no Thomas Watson or James Reston or McGeorge Bundy on the White House hate list. Suppose that the list had been limited to political dissidents, antiwar activists, radicals. Then, it is safe to (...) assume, there would have been no frontpage story in the New York Times and little attention on the part of responsible political commentators. Rather the incident, if noted at all, would have been recognized as merely another step, inelegant perhaps, in the legitimate defense of order and responsible belief. (shrink)
Both the physiological and the pathological morphogenetic processes that we can meet in embryogenesis, neogenesis and degenerative dysgenesis present common features: they are ruled by three different kinds of mechanisms, one related to cell migration, the second to cell differentiation and the third to cell proliferation. We deal here with an application to the cambial growth which essentially involves the third type of mechanism.Woody plants produce secondary tissue (secondary xylem and phloem) from a meristematic tissue called vascular cambium, responsible for (...) the radial growth of a tree. This paper focuses on the formation of secondary xylem, considered in two dimensions in a cross-section framework. A new discrete modelling approach is used, based on the cellular scale, in order to attain a more accurate understanding of how the elementary microscopic behaviour of each cell takes part in the macroscopic morphogenesis. The mathematical model essentially uses an occurrence method simulating the main features of radial growth with simple geometric rules, such as Thom's division rule (Thom,1972)to account for the cell proliferation. The study applies to concrete instances in which the changes made in the geometrical cellular patterns of the vascular cambium clearly affect the shape of the tree, as in Pinus radiata (D. Don.). (shrink)
