Lettered selves and beyond -- The alphabetic body -- Gesture and non-alphabetic writing -- Technologized mathematics -- Parallel selves -- Ghost effects.

This article conceptualizes power in the context of long-term process of structural change. First, it discusses the field of transition studies, which deals with processes of structural change in societal systems on the basis of certain presumptions about power relations, but still lacks an explicit conceptualization of power. Then the article discusses some prevailing points of contestation in debates on power. It is argued that for the context of transition studies, it is necessary to develop an interdisciplinary framework in which (...) power is explicitly conceptualized in relation to change. Subsequently, such a framework is presented, with reference to existing literature on power. Starting with a philosophical and operational definition of power, a typology is developed of the different ways in which power can be exercised, explicitly including innovative power and transformative power. Finally, the presented power framework is applied to transition studies, redefining pivotal transition concepts in terms of power and formulating hypotheses on the role of power in transitions. By doing so, the article not only offers an interdisciplinary framework to study power in the context of transition studies, but also contributes to power debates more generally by including innovation and transformation as acts of power, and thereby proposes a re-conceptualization of the relation between power and structural change. (shrink)

An examination of how debates originating in the Quarrel of the Ancients and the Moderns informed a broader exploration of the relation between past and present in various realms of eighteenth-century thought.

Ataxia‐telangiectasia (A‐T) is a pleiotropic recessive disorder characterized cerebellar ataxia, immunodeficiency, specific developmental defects, profound predisposition to cancer and acute radiosensitivity. Functional inactivation of single gene product, ATM, accounts for this compound phenotype. We suggest that ATM acts as a sensor of reactive oxygen species and/or oxidative damage cellular macromolecules, including DNA. In turn, ATM induces signalling through multiple pathways, thereby coordinating acute phase stress responses with cell cycle checkpoint control and repair of oxidative damage. Absence of ATM is proposed (...) to limit the repair of insidious oxidative damage that can occur under normal physiological conditions, ultimately leading to apoptosis of particularly sensitive cells, such as neurons and thymocytes. (shrink)

Starting from Poincaré’s assignment of an algebraic object to a topological manifold, namely the fundamental group, this article introduces the concept of categories and their language of arrows that has, since their mid-20th-century inception, altered how large areas of mathematics, from algebra to abstract logic and computer programming, are conceptualized. The assignment of the fundamental group is an example of a functor, an arrow construction central to the notion of a category. The exposition of category theory’s arrows, which operate at (...) three distinct but deeply interconnected levels, is framed by a comparison with the language and outlook of set theory founded on the concept of membership; sets and their theorization having provided, famously through the Bourbaki initiative, the basic ontological and epistemological vocabulary for defining and handling all mathematical entities. The comparison with sets emphasizes how categories offer a form of diagrammatic argument and thought against set theory’s fidelity to syntax-based proofs; how categories invert set theory’s priority of objects and their attributes over relations by making the relations of an object to others of its kin primary; and how categories replace identity, that is, equality, between objects, by the weaker notion of isomorphism, restricting equality to identity between arrows. The article concludes with a return to topology and some remarks about the question of its possible use in articulating/characterizing cultural dynamics. (shrink)

This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical, interpretation of whole numbers held by mathematicians and scientists, and replaces it with an original and radical alternative--what the author calls non-Euclidean arithmetic. The author's entry point is an attack on the notion of the mathematical infinite in both its potential and actual forms, an attack organized (...) around his claim that any interpretation of "endless" or "unlimited" iteration is ineradicably theological. Going further than critique of the overt metaphysics enshrined in the prevailing Platonist description of mathematics, he uncovers a covert theism, an appeal to a disembodied ghost, deep inside the mathematical community's understanding of counting. (shrink)

Existing work on the ultimate limits of computation has urged that the apparatus of real numbers should be eschewed as an investigative tool and replaced by discrete mathematics. The present paper argues for a radical extension of this viewpoint: not only the continuum but all infinitary constructs including the rationals and the potential infinite sequence of whole numbers need to be eliminated if a self-consistent investigative framework is to be achieved.

The ethical frameworks of consequentialism and formalism predict moral awareness and behavior in individuals, but current measures either do not treat these frameworks as independent or lack sufficient theoretical underpinnings and statistical dependability. This paper presents the development and validation of a new scale to measure consequentialism and formalism that is well grounded in prior research. The Ethical Standards of Judgement Questionnaire is validated via six studies. Measurement items are developed in the first three studies, which also confirm the need (...) to eliminate a unidimensional measure and evaluate these frameworks separately. The fourth study addresses discriminant validity and the two remaining studies provide insight into how consequentialism and formalism predict the degree to which behaviors are deemed acceptable by individuals in the context of consumer beliefs and religious beliefs. Suggested uses for the scale in both academia and organizations are presented. (shrink)

This research aims to understand how two basic schemas—vigilante and reparation—influence online public complaining. Drawing on two experiments, a longitudinal field study and content analysis of online complaints, the current research makes three core contributions. First, we show that for similar service failures, each schema is associated with different justice motivations, which have different moral implications for consumers. Second, vigilante and reparation complainers write complaints in a different manner and are drawn to different online platforms; this information is helpful to (...) identify complainers using each schema. Third, the schemas moderate the process leading to different post-complaint benefits. Specifically, perseverance has a greater effect on obtaining a resolution for reparation complainers compared to vigilantes. Additionally, whereas a recovery leads to an increase in positive affect for reparation complainers, vigilantes experience a high level of positive affect simply by posting their complaint. The theoretical, ethical, and managerial implications of these findings are discussed. (shrink)

The ethical frameworks of consequentialism and formalism predict moral awareness and behavior in individuals, but current measures either do not treat these frameworks as independent or lack sufficient theoretical underpinnings and statistical dependability. This paper presents the development and validation of a new scale to measure consequentialism and formalism that is well grounded in prior research. The Ethical Standards of Judgement Questionnaire is validated via six studies. Measurement items are developed in the first three studies, which also confirm the need (...) to eliminate a unidimensional measure and evaluate these frameworks separately. The fourth study addresses discriminant validity and the two remaining studies provide insight into how consequentialism and formalism predict the degree to which behaviors are deemed acceptable by individuals in the context of consumer beliefs and religious beliefs. Suggested uses for the scale in both academia and organizations are presented. (shrink)

Ethical theories grounded in utilitarianism suggest that social welfare is improved when agents seek to maximize others' welfare in addition to their own (i.e., are altruistic). However, I use a simple game-theoretic model to demonstrate two shortcomings of this argument. First, altruistic preferences can generate coordination problems where none exist for selfish agents. Second, when agents care somewhat about others' utility but weight their own more highly, total social welfare may be lower than with selfish agents even in the absence (...) of coordination problems. (Published Online April 18 2006) Correspondence:c1 105 St. George St., Toronto, Ontario M5S 3E6; kenneth.corts@rotman.utoronto.ca. Footnotes1 I thank Adam Brandenburger and Mara Lederman for helpful comments. (shrink)

Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for (...) example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, Mycielski’s approach). Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration. (shrink)

À travers l’ouvrage Le Successeur de pierre par Jean-Michel Truong et à la lumière des théories de Félix Guattari, de Mark B. N. Hansen et de Brian Rotman relatives aux multiples virtualités de l’être humain, cet article étudiera la narration romanesque de l’imbrication des nouvelles technologies de l’information et de la communication dans les processus de matérialisation et d’agentivité du posthumain. Dans son roman, Truong nous invite en effet à repenser la contextualité du corps et de l’identité humaine en (...) substituant un point de vue anthropocentrique et dualiste à une ontologie de l’émergence. This paper investigates Jean-Michel Truong’s book Le Successeur de pierre with Felix Guattari’s, Mark B. N. Hansen’s and Brian Rotman’s theories related to the multiple potentialities of human beings. It focuses more precisely on the fictional narrative of the new information and communication imbrication of technologies into the processes of posthuman’s materialisation and agency. In his novel, Truong indeed invites us to think over the contextuality of the body and the human identity by substituting an anthropocentric and dualistic point of view with an ontology of emergence. (shrink)

Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for (...) example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications. Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ad Infinitum: The Ghost in Turing’s Machine: Taking God Out of Mathematics and Putting the Body Back InTony E. JacksonAd Infinitum: The Ghost in Turing’s Machine: Taking God Out of Mathematics and Putting the Body Back In, by Brian Rotman; xii & 203 pp. Stanford: Stanford University Press, 1993, $39.50 cloth, $12.95 paper.Brian Rotman’s book attempts to pull mathematics—the last, most solid home of metaphysical thought—off (...) its absolutist foundations and into the roiling current of postmodernism. His argument works in what has by now become a rather standard manner. He shows how the grounding ideas of mathematics rest upon the insupportable assumption of a realm of absolute truth, “truth perfect, truth outside time, outside space, outside the material world of matter, energy, and entropy, truth somehow able to be discovered or apprehended but never invented” (p. 19). Rotman questions this Platonic grounding in a number of ways.First, with the help of linguistics (de Saussure, Benveniste, Wittgenstein, and Peirce) he provides a semiotic analysis of mathematical arguments as real-world linguistic events. Proof he looks at “not as a form of inference engaged in preserving eternal truths, but as an historically conditioned species of rhetoric” (p. 35). Secondly, Rotman argues that one idea has most secured the fortress-like solidity of mathematical Platonism: the idea of ad infinitum or infinite iteration. Mathematics takes off from the givenness of the natural numbers, our everyday 1, 2, 3 and so on to infinity. It is the “so on to infinity” that frames up the house of arithmetic as it has stood since Euclid. (Euclidean in this context is equivalent to Platonic in the context of philosophy.) But what is the referent of these numbers? Ultimately they are said to be the symbolic representation of the action of counting, which is the “mathematical ur-cognition” (p. 51). And yet we cannot imagine any material human situation in which counting could actually go on to infinity. Therefore, some impossible, supernatural agent (the ghost of the title) must be projected in order for this conception to exist. Similarly, Rotman argues against the assumption of “perfect repeatability” because this notion depends upon some purely imaginary, ideal identity of object or action that could possibly be repeated. Ad infinitum requires and assumes both a disembodied, metaphysical counter and a disembodied, metaphysical counted.So Rotman sets about putting the body back into this symbolic system by rejecting the idea of ad infinitum. Instead of assuming the existence of counting activities that run, in principle, out to infinity without changing their nature, Rotman posits what he calls “realizable iteration,” that is, counting that admits the necessary dissolution or change of whatever repetitive function you begin with. Put simply, he includes the fact that quantitative accumulation or repetition always eventually brings about a qualitative change: at some point in everyday life a difference of degree of the “same” thing or action inevitably becomes a difference of kind. The natural numbers and the ad infinitum [End Page 390] remain blissfully sheltered from this inescapable real world truth, but Rotman reformulates mathematics so as to include this truth in the very idea of numbering.In fact (and he acknowledges this) he theorizes counting after the model of chaos or complexity theory in the physical sciences. Realizable iteration, he says, will bring in the “qualitative differences” forgotten or repressed (the language of Nietzsche, Heidegger, and Freud runs throughout) in the metaphysical version of number, and “display [the qualitative differences] as the emergent effects of repetition” (p. 131). Even numerical addition, for instance, which had been the most linearly continuous of activities, now will be linear beginning from some initial point, but will become increasingly nonlinear as quantitative increase tends towards some point of qualitative discontinuity with what had come before. The point of discontinuity, though certain to appear, is by its nature not specifiable beyond a horizon of probability, and in this, Rotman aligns his arithmetic not only with chaos theory, but also with quantum mechanics. In an appendix, Rotman elaborates at least to a degree the “pre-elements” of his non-Euclidean arithmetic.As chaos theory does not destroy everyday cause... (shrink)