It is shown that a fundamental question of revealed preference theory, namely whether the weak axiom of revealed preference (WARP) implies the strong axiom of revealed preference (SARP), can be reduced to a Hamiltonian cycle problem: A set of bundles allows a preference cycle of irreducible length if and only if the convex monotonic hull of these bundles admits a Hamiltonian cycle. This leads to a new proof to show that preference cycles can be of arbitrary length (...) for more than two but not for two commodities. For this, it is shown that a set of bundles satisfying the given condition exists if and only if the dimension of the commodity space is at least three. Preference cycles can be constructed by embedding a cyclic $(L-1)$ -polytope into a facet of a convex monotonic hull in $L$ -space, because cyclic polytopes always admit Hamiltonian cycles. An immediate corollary is that WARP only implies SARP for two commodities. The proof is intuitively appealing as this gives a geometric interpretation of preference cycles. (shrink)

By means of the averaging method of the first order, we introduce the maximum number of limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system. Besides, the perturbation has been used for a particular class of the polynomial differential systems.

In our previous work we proved the conjecture NP = PSPACE by advanced proof theoretic methods that combined Hudelmaier’s cut-free sequent calculus for minimal logic with the horizontal compressing in the corresponding minimal Prawitz-style natural deduction. In this Addendum we show how to prove a weaker result NP = coNP without referring to HSC. The underlying idea is to omit full minimal logic and compress only “naive” normal tree-like ND refutations of the existence of Hamiltonian cycles in given (...) non-Hamiltonian graphs, since the Hamiltonian graph problem in NPcomplete. Thus, loosely speaking, the proof of NP = coNP can be obtained by HSC-elimination from our proof of NP = PSPACE. (shrink)

We argue that Hamiltonian mechanics is more fundamental than Lagrangian mechanics. Our argument provides a non-metaphysical strategy for privileging one formulation of a theory over another: ceteris paribus, a more general formulation is more fundamental. We illustrate this criterion through a novel interpretation of classical mechanics, based on three physical conditions. Two of these conditions suffice for recovering Hamiltonian mechanics. A third condition is necessary for Lagrangian mechanics. Hence, Lagrangian systems are a proper subset of Hamiltonian systems. (...) Finally, we provide a geometric interpretation of the principle of stationary action and rebut arguments for privileging Lagrangian mechanics. (shrink)

I show how Sir William Rowan Hamilton’s philosophical commitments led him to a causal interpretation of classical mechanics. I argue that Hamilton’s metaphysics of causation was injected into his dynamics by way of a causal interpretation of force. I then detail how forces are indispensable to both Hamilton’s formulation of classical mechanics and what we now call Hamiltonian mechanics (i.e., the modern formulation). On this point, my efforts primarily consist of showing that the contemporary orthodox interpretation of potential energy (...) is the interpretation found in Hamilton’s work. Hamilton called the potential energy function the “force-function” because he believed that it represents forces at work in the world. Various non-historical arguments for this orthodox interpretation of potential energy are provided, and matters are concluded by showing that in classical Hamiltonian mechanics, facts about the potential energies of systems are grounded in facts about forces. Thus, if one can tolerate the view that forces are causes of motion, then Hamilton provides one with a road map for transporting causation into one of the most mathematically sophisticated formulations of classical mechanics, viz., Hamiltonian mechanics. (shrink)

The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system describing in terms of ray trajectories, for a stationary refractive medium, a very wide family of wave-like phenomena (including diffraction and interference) going much beyond the limits of the geometrical optics (“eikonal”) approximation, which is contained as a simple limiting case. Due to the fact, moreover, that the time independent Schrödinger equation is itself a Helmholtz-like equation, the same mathematics holding for a classical optical (...) beam turns out to apply to a quantum particle beam moving in a stationary force field, and leads to a system of Hamiltonian equations providing exact and deterministic particle trajectories and dynamical laws, and containing the laws of Classical Mechanics in the eikonal limit. (shrink)

Dissipative systems are described by a Hamiltonian, combined with a “dynamical matrix” which generalizes the simplectic form of the equations of motion. Criteria for dissipation are given and the examples of a particle with friction and of the Lotka-Volterra model are presented. Quantization is first introduced by translating generalized Poisson brackets into commutators and anticommutators. Then a generalized Schrödinger equation expressed by a dynamical matrix is constructed and discussed.

The nature/nurture debate is not dead. Dichotomous views of development still underlie many fundamental debates in the biological and social sciences. Developmental systems theory offers a new conceptual framework with which to resolve such debates. DST views ontogeny as contingent cycles of interaction among a varied set of developmental resources, no one of which controls the process. These factors include DNA, cellular and organismic structure, and social and ecological interactions. DST has excited interest from a wide range of researchers, (...) from molecular biologists to anthropologists, because of its ability to integrate evolutionary theory and other disciplines without falling into traditional oppositions. The book provides historical background to DST, recent theoretical findings on the mechanisms of heredity, applications of the DST framework to behavioral development, implications of DST for the philosophy of biology, and critical reactions to DST. (shrink)

With many Hamiltonians one can naturally associate a |Ψ|2-distributed Markov process. For nonrelativistic quantum mechanics, this process is in fact deterministic, and is known as Bohmian mechanics. For the Hamiltonian of a quantum field theory, it is typically a jump process on the configuration space of a variable number of particles. We define these processes for regularized quantum field theories, thereby generalizing previous work of John S. Bell [3] and of ourselves [11]. We introduce a formula expressing the jump (...) rates in terms of the interaction Hamiltonian, and establish a condition for finiteness of the rates. (shrink)

We consider a quadratic Lagrangian, in both curvature and torsion, with the aim of exploring the possibility that torsion and curvature behave as conjugate variables satisfying the commutation relations. For that proposal we first show that torsion represents a quantum correction to the classical equations of motion. We then observe that we have to introduce the spin in the Einstein theory with two spaces: a real space-time where we describe the curvature with tensors; and a complex space-time, where we describe (...) torsion with spinors. This is not satisfactory, and to overcome this contradiction we describe both mass and spin in a unique manifold, the real space-time, with the use of geometric algebra and geometric product. In that manner we are able to introduce a torsion trivector and curvature trivector that satisfy the commutation relations, opening the road for a quantum description of gravity theory. (shrink)

The connection between quantum mechanics and classical statistical mechanics has motivated in the past the representation of the Schrödinger quantum-wave equation in terms of “projections” onto the quantum configuration space of suitable phase-space asymptotic kinetic models. This feature has suggested the search of a possible exact super-dimensional classical dynamical system, denoted as Schrödinger CDS, which uniquely determines the time-evolution of the underlying quantum state describing a set of N like and mutually interacting quantum particles. In this paper the realization of (...) the same CDS in terms of a coupled set of Hamiltonian systems is established. These are respectively associated with a quantum-hydrodynamic CDS advancing in time the quantum fluid velocity and a further one the RD-CDS, describing the relative dynamics with respect to the quantum fluid. (shrink)

The Hamiltonian for the Einstein equations is constructed on an outgoing null cone with the help of the usual null tetrad used in the study of the asymptotical gravitational radiation field.

The article aims to define the management mechanism of complex, open dynamic systems with human participation. The following parts of the system life-cycle were identified and unified in the theoretical scope: general and specific compositional elements of repeating changes, marginal index boundaries, the dynamics of the compositional elements of the lifecycle, the key points of the change in the character of the index dynamics. In the practical scope, two common trends of socio-economical system life-cycle management are considered. The first trend (...) is the regulation of the comprising element ratio, which provides the increase in the duration of the maximally effective performance of a functioning system. The second trend is the regulation of the reproduction time of a new system. The systems life cycle aspects are investigated in almost all sciences and studied within many disciplines in the field of higher education. Therefore, deepening the mastery of scientific and methodological foundations of the life cycle of a complex open dynamic system is useful for any subject in everyday and practical activities. A human being – in the formation of own human capital. Families – when it is formed, the birth of children, the distribution of income and expenses. Companies – for efficient business activities. As well as local communities, local self-government bodies, public authorities and global entities within their profile activities. The results of the research provide the possibility of the development of applicable mechanisms for effectiveness and stability enhancement of managerial and entrepreneurial operation in business projects. (shrink)

Covering interesting and varied philosophical terrain, _Cycling - Philosophy for Everyone_ explores in a fun but critical way the rich philosophical, cultural, and existential experiences that arise when two wheels are propelled by human energy. Incorporates or reflects the views of high-profile and notable past-professional cyclists and insiders such as Lennard Zinn, Scott Tinley, and Lance Armstrong Features contributions from the areas of cultural studies, kinesiology, literature, and political science as well as from philosophers Includes enlightening essays on the varieties (...) of the cycling experience, ranging from the ethical issues of success, women and cycling, environmental issues of commuting and the transformative potential of cycling for personal growth Shows how bicycling and philosophy create the perfect tandem Includes a foreword by Lennard Zinn, author and owner of Zinn Cycles Inc. (shrink)

Representation of quantum states by statistical ensembles on the quantum phase space in the Hamiltonian form of quantum mechanics is analyzed. Various mathematical properties and some physical interpretations of the equivalence classes of ensembles representing a mixed quantum state in the Hamiltonian formulation are examined. In particular, non-uniqueness of the quantum phase space probability density associated with the quantum mixed state, Liouville dynamics of the probability densities and the possibility to represent the reduced states of bipartite systems by (...) marginal distributions are discussed in detail. These considerations are used to study ensembles of hybrid quantum-classical systems. In particular, nonlinear evolution of a single hybrid system in a pure state and unequal evolutions of initially equivalent ensembles are discussed in the context of coupled hybrid systems. (shrink)

Hamilton’s Rule, named after the evolutionary biologist Bill Hamilton, and the related concepts of inclusive fitness and kin selection, have been the bedrock of the study of social evolution for the past half century. In ’The Philosophy of Social Evolution’, Jonathan Birch provides a comprehensive introduction to the conceptual foundations of the Hamiltonian view of social evolution, and a passionate defence of its enduring value in face of the recent high profile criticism. In this review essay, I first outline (...) the version of Hamilton’s Rule defended by Birch, dubbed Hamilton’s Rule General, and its derivation. With this in place, I then navigate through the fierce disagreements that Hamilton’s Rule generates among social evolution researchers and evaluate Birch’s central argument of the book that HRG serves as an organizing framework for social evolution research under which we can compare and interpret more detailed causal models. I then spend the remainder of the review discussing what I take to be three of the most exciting implications of Hamilton’s thinking raised by Birch: the extension of Hamilton’s Rule to mobile genetic elements, maximization of inclusive fitness models and the idea of adaptation as organism design, and the relationship between Hamilton’s approaches to social behaviour and the gene’s-eye view of evolution. (shrink)

Alexander Pho and Benjamin A. White respond to Nicolas Dixon’s critique of mixed martial arts (MMA) through a ‘companions in innocence’ argument. Taking up a counterexample that Dixon is quick to dismiss, the authors argue that MMA techniques are on a par with the ‘pain-leveraging’ tactics used by cyclists and that pressing for a moral distinction between cycling and MMA leads to absurd conclusions about other practices. So, because cycling is morally permissible, MMA is morally permissible. This companions in innocence (...) argument fails. But cycling can be used to develop a better, though only partial, defense of MMA. (shrink)

This paper undertakes a re-examination of Sir William Hamilton’s doctrine of the quantification of the predicate . Hamilton’s doctrine comprises two theses. First, the predicates of traditional syllogistic sentence-forms contain implicit existential quantifiers, so that, for example, All p is q is to be understood as All p is some q . Second, these implicit quantifiers can be meaningfully dualized to yield novel sentence-forms, such as, for example, All p is all q . Hamilton attempted to provide a deductive system (...) for his language, along the lines of the classical syllogisms. We show, using techniques unavailable to Hamilton, that such a system does exist, though with qualifications that distinguish it from its classical counterpart. (shrink)

The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription (...) rule by applying it to well-known physical situations. Moreover, we explain how this interpretation supplies a description of the elemental categories of the ontology referred to by the theory, where quantum systems turn out to be bundles of possible properties. (shrink)

Cet article s’inscrit dans la lignée de précédents travaux visant à rapprocher l’entrepreneur schumpétérien et le surhumain nietzschéen. Les deux partagent une créativité pouvant s’interpréter comme l’extériorisation d’un surcroît de force qui, dans l’optique nietzschéenne, s’assimile à la source extra-morale de l’accroissement de la vie. Reste à savoir si le cadre dans lequel ils évoluent est le même. Au-delà d’une approche historique du cycle de la conjoncture, notre hypothèse est que l’approche philosophique d’un cycle du devenir s’avère être féconde pour (...) une interprétation enrichie du cycle de la conjoncture, complétant et prolongeant ainsi notre interprétation du surhumain et de l’entrepreneur. (shrink)

The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription (...) rule by applying it to well-known physical situations. Moreover, we explain how this interpretation supplies a description of the elemental categories of the ontology referred to by the theory, where quantum systems turn out to be bundles of possible properties. (shrink)

Business cycle theory is a broad and disparate field. Different schools of thought offer alternative explanations for cycles, often using different mathematical methods. This book provides academics and graduate students of economics with a compact and accessible exposition of business cycle theory since Keynes. The author places the main theories -- Keynesian economics, monetarism, new classical economics, the real business cycles theory, and new Keynesian economics -- in an historical context by presenting them in the chronological order of (...) their appearance and highlighting their differences and commonalities. He minimizes the necessary mathematical prerequisites by using a unifying mathematical approach: stochastic second-order difference equations, which is explained in detail. Throughout the book, the international dimension of business cycles is acknowledged. The theoretical results obtained are set alongside empirical facts in separate boxes. Each chapter finishes with a set of problems designed to deepen the reader's understanding of the theories presented, and further reading sections which provide access to related material. (shrink)

It is a long-standing view that global translation varies during the cell cycle and is much lower in mitosis than in other cell-cycle phases. However, the central papers in the literature are not in agreement about the extent of downregulation in mitosis, ranging from a dramatic decrease to only a marginal reduction. Herein, it is argued that the discrepancy derives from technical challenges. Cell-cycle-dependent variations are most conveniently studied in synchronized cells, but the synchronization methods by themselves often evoke stress (...) responses that, in turn, affect translation rates. Further, it is argued that previously reported cell-cycle-dependent changes in the global translation rate to a large extent reflect responses to the synchronization methods. Recent findings strongly suggest that the global translation rate is not regulated in a cell-cycle-dependent manner. Novel techniques allowing a genome-wide analysis of translational profiles suggest that the extent and importance of selective translational regulation associated with cell-cycle transitions have been underestimated. Therefore, the main question is which messenger RNAs (mRNAs) are translated, rather than whether the global translation rate is decreased. (shrink)

We invite systematic consideration of the metaphors of cycles and circulation as a long-term theme in the history of the life and environmental sciences and medicine. Ubiquitous in ancient religious and philosophical traditions, especially in representing the seasons and the motions of celestial bodies, circles once symbolized perfection. Over the centuries cyclic images in western medicine, natural philosophy, natural history and eventually biology gained independence from cosmology and theology and came to depend less on strictly circular forms. As potent (...) ‘canonical icons’, cycles also interacted with representations of linear and irreversible change, including arrows, arcs, scales, series and trees, as in theories of the Earth and of evolution. In modern times life cycles and reproductive cycles have often been held to characterize life, in some cases especially female life, while human efforts selectively to foster and disrupt these cycles have harnessed their productivity in medicine and agriculture. But strong cyclic metaphors have continued to link physiology and climatology, medicine and economics, and biology and manufacturing, notably through the relations between land, food and population. From the grand nineteenth-century transformations of matter to systems ecology, the circulation of molecules through organic and inorganic compartments has posed the problem of maintaining identity in the face of flux and highlights the seductive ability of cyclic schemes to imply closure where no original state was in fact restored. More concerted attention to cycles and circulation will enrich analyses of the power of metaphors to naturalize understandings of life and their shaping by practical interests and political imaginations. (shrink)

The article examines the reduction of architecture to the dimension of utility which results in placelessness. The modern redefinition of science as “knowing-making” is essential to this reduction, although it has fundamental and forgotten importance. Drawing upon Martin Heidegger’s and George Grant’s critique of technology, and the ideas of Alberto Pérez-Gómez and Charles-Francois Viel, the significance of the complex relations between theory and practice in architecture will be explored in the context of Kimberly Dovey’s notion of the cycle of lived-space. (...) A re-definition of modern “knowing-making” reveals a semioticlevel which contains new possibilities for meaningful and environmentally attuned architecture within the technological framework. I suggest “designing-building” as an alternative, understood as a process of poetic recreation of meaningful spaces. (shrink)

In General Relativity in Hamiltonian form, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best, because the Hamiltonian is a sum of first-class constraints and a boundary term and thus supposedly generates gauge transformations. Attention to the gauge generator G of Rosenfeld, Anderson, Bergmann, Castellani et al., a specially _tuned sum_ of first-class constraints, facilitates seeing that a solitary first-class constraint in fact generates not a gauge transformation, but a bad physical change in (...) electromagnetism or General Relativity. The change spoils the Lagrangian constraints, Gauss's law or the Gauss-Codazzi relations describing embedding of space into space-time, in terms of the physically relevant velocities rather than auxiliary canonical momenta. But the resemblance between the gauge generator G and the Hamiltonian H leaves still unclear where objective change is in GR. Insistence on Hamiltonian-Lagrangian equivalence, a theme emphasized by Castellani, Sugano, Pons, Salisbury, Shepley and Sundermeyer among others, holds the key. Taking objective change to be ineliminable time dependence, one recalls that there is change in vacuum GR just in case there is no time-like vector field xi^a satisfying Killing's equation L_xi g_mn=0, because then there exists no coordinate system such that everything is independent of time. Throwing away the spatial dependence of GR for convenience, one finds explicitly that the time evolution from Hamilton's equations is real change just when there is no time-like Killing vector. The inclusion of a massive scalar field is simple. No obstruction is expected in including spatial dependence and coupling more general matter fields. Hence change is real and local even in the Hamiltonian formalism. The considerations here resolve the Earman-Maudlin standoff over change in Hamiltonian General Relativity: the Hamiltonian formalism is helpful, and, suitably reformed, it does not have absurd consequences for change and observables. Hence the classical problem of time is resolved. The Lagrangian-equivalent Hamiltonian analysis of change in General Relativity is compared to Belot and Earman's treatment. The more serious quantum problem of time, however, is not automatically resolved due to issues of quantum constraint imposition. (shrink)

The transcriptional profile of the entire Caulobacter crescentus genome over a synchronous cell cycle was recently described.(1) The analysis reveals a stunning 553 cell-cycle-regulated genes or orfs, nearly 19% of the genome, including putative functions in virtually all biological activities. Over a quarter of these genes/orfs respond to the Caulobacter master regulator, CtrA, most of them apparently indirectly. The analysis confirms and extends earlier observations showing that many proteins involved in cell cycle functions are expressed at the cell age when (...) they are needed. Conversely, the data suggest that proteins specifically expressed at a particular age may be involved in a process taking place then. BioEssays 23:563–565, 2001. © 2001 John Wiley & Sons, Inc. (shrink)

The construction of the quantum-mechanical Hamiltonian by canonical quantization is examined. The results are used to enlighten examples taken from slow nuclear collective motion. Hamiltonians, obtained by a thoroughly quantal method (generator-coordinate method) and by the canonical quantization of the semiclassical Hamiltonian, are compared. The resulting simplicity in the physics of a system constrained to lie in a curved space by the introduction of local Riemannian coordinates is emphasized. In conclusion, a parallel is established between the result for (...) various coordinates and a proposed procedure for quantizing the semiclassical Hamiltonian for a single coordinate. (shrink)

Cet ouvrage de référence est une vaste synthèse qui présente la doctrine traditionnelle des cycles développée et appliquée à notre temps. La cyclologie, ou théorie du temps cyclique, est une conception que l'on retrouve dans la plupart des sociétés archaïques. Selon cette vision, l'écoulement du temps n'est pas linéaire, l'histoire passant pour obéir éternellement à des cycles immuables amenant un retour périodique de l'humanité face aux mêmes situations, cycles dont la durée varie selon les traditions. La plus (...) répandue et la plus ancienne des conceptions cycliques est la mesure védique du temps en quatre âges, encore développée aujourd'hui dans l'hindouisme et le bouddhisme. Le cycle complet dure 12 000 ans environ et débute par un Age d'Or, période où l'homme possède la connaissance spirituelle et vit dans une harmonie parfaite. Puis continence le déclin (perte progressive de la connaissance) qui, en passant par l'Age d'Argent puis l'Age de Bronze, aboutit à l'Age de Fer (Kali Youga) où triomphent l'ignorance, l'égoïsme et le mal. Une conflagration (sous la forme d'un cataclysme cosmique, de guerres ou autre) purifie ensuite l'humanité pour permettre le commencement d'un nouveau cycle, donc d'un nouvel Age d'Or. Bien qu'elle soit en contradiction avec les doctrines judéo-chrétiennes qui véhiculent une vision linéaire du temps, de la Création et de la fin du inonde, la cyclologie s'est perpétuée jusqu'à nos jours, véhiculée par divers courants philosophiques. A l'aide de cette théorie, Jean Phaure a la vertu de nous faire comprendre que ce que nous vivons et la fin de cycle qui nous attend n'arrivent pas pour la première fois et ont déjà eu lieu avec des intensités différentes ; c'est un perpétuel recommencement. (shrink)

Recent high-profile corporate scandals are reminiscent of the corporate raider scandals of the 1980s, suggesting that ethical scandals may occur in waves. This article provides a framework for analysis of this question by suggesting that ethical attitudes may be cyclical about long-term secular trends. We provide some empirical evidence from previously published work for the existence of cycles as well as a potential mechanism for their propagation, namely widespread publicity about a particularly salient event, e.g., Enron. Further, we posit (...) that long-run secular trends would be affected through more deliberate, cognitive means, e.g., instruction in business ethics. We also discuss an important research implication, namely that traditional cross-sectional “book-end” studies surveying ethical attitudes at two different points in time may be unable to disentangle short-run cyclical movements from long-term secular trends. (shrink)

It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic flows on a manifold and an associated dual by means of a conformal map. This method can be applied to a four dimensional manifold of orbits in spacetime associated with a relativistic system. We show that a relativistic Hamiltonian which generates Einstein geodesics, with the addition of a world scalar field, can be put into correspondence in (...) this way with another Hamiltonian with conformally modified metric. Such a construction could account for part of the requirements of Bekenstein for achieving the MOND theory of Milgrom in the post-Newtonian limit. The constraints on the MOND theory imposed by the galactic rotation curves, through this correspondence, would then imply constraints on the structure of the world scalar field. We then use the fact that a Hamiltonian with vector gauge fields results, through such a conformal map, in a Kaluza-Klein type theory, and indicate how the TeVeS structure of Bekenstein and Saunders can be put into this framework. We exhibit a class of infinitesimal gauge transformations on the gauge fields ${\mathcal{U}}_{\mu}(x)$ which preserve the Bekenstein-Sanders condition ${\mathcal{U}}_{\mu}{\mathcal{U}}^{\mu}=-1$ . The underlying quantum structure giving rise to these gauge fields is a Hilbert bundle, and the gauge transformations induce a non-commutative behavior to the fields, i.e. they become of Yang-Mills type. Working in the infinitesimal gauge neighborhood of the initial Abelian theory we show that in the Abelian limit the Yang-Mills field equations provide residual nonlinear terms which may avoid the caustic singularity found by Contaldi et al. (shrink)

Before being considered as independent fields, business cycles and productivity growth had long been regarded as closely interrelated dynamics. Growth and cycles theories and models developed independently. On one side, the growth analysis developed analyzing the existence and stability of a long-run deterministic growth path. On the other side, business cycles theory focused on the understanding of detrended data movements considering growth as an exogenous trend, independent of the cycle. This dichotomy is still present in the modern (...) literature. _Business Cycles and Growth Theory_ examines the role of monetary and financial factors in growth cycles dynamics interaction. It offers new perspectives for modelling growth cycles dynamics underlining the possibility of building an 'incomplete business cycles theory', as well as highlighting the existence of a convergence between the last theoretical developments of both growth and business cycles literatures. A significant read, this book demonstrates that such a convergence can provide benchmarks for a new paradigm of models in which endogenous growth mechanism, because it offers a strong propagation for shocks, can be the core of a new business cycles dynamics. (shrink)

This chapter contains sections titled: Child's Play Adolescent Infatuation Flourishing Adulthood Midlife Crisis Pit Stop Unreflective Maturity Maturity Cycles to Sofia (No, Not the Bulgarian Capital) Old Age Re‐Cycling Notes.

Hormonal changes associated with the human menstrual cycle have been previously found to affect female mate preference, whereby women in the late follicular phase of their cycle (i.e., at higher risk of conception) prefer males displaying putative signals of underlying genetic fitness. Past research also suggests that romantic kissing is utilized in human mating contexts to assess potential mating partners. The current study examined whether women in their late follicular cycle phase place greater value on kissing at times when it (...) might help serve mate assessment functions. Using an international online questionnaire, results showed that women in the follicular phase of their menstrual cycle felt that kissing was more important at initial stages of a relationship than women in the luteal phase of their cycle. Furthermore, it was found that estimated progesterone levels were a significant negative predictor for these ratings. (shrink)

A range of extremely plausible moral principles turn out to generate “deontic cycling”: sets of actions wherein I have stronger reason to do B than A, C than B, and A than C. Indeed, just about anything recognizable as commonsense morality generates deontic cycling. This matters for two reasons. First, it creates a problem for the widely held view that agent-centered rankings can square consequentialism with commonsense morality. Second, it forces a choice between some deeply plausible views about rationality—wherein someone (...) cannot have stronger reason to do A than B, B than C, and C than A—and commonsense morality. (shrink)

Across the world, the lives of men and women who are otherwise similarly situated tend to differ from each other systematically. Although gender disparities varywidely within and among regions, women everywhere are disproportionately vulnerable to poverty, abuse and political marginalization. This article proposes thatglobal gender disparities are caused by a network of norms, practices, policies, and institutions that include transnational as well as national elements. These interlaced and interacting factors frequently modify and sometimes even reduce gendered vulnerabilities but their overall (...) effect is to maintain and often intensify them. Women’s vulnerabilities in different areas of life mutually reinforce each other and I follow other authors in referring to such causal feedback loops as cycles of gendered vulnerability. I argue that these cycles now operate on a transnational as well as national scale and I illustrate this by discussing the examples of domestic work and sex work. If global institutional arrangements do indeed contribute to maintaining or intensifying distinctively gendered vulnerabilities, these arrangements deserve criti cal scrutiny from philosophers concerned with global justice. (shrink)

All parts of Heraclitus’ cosmos are simultaneously living and dying. Its constituent stuffs (“biomasses”) cycle endlessly through physical changes in sweeping patterns (“biorhythms”) that are reflected in the dynamic rhythms of Heraclitus’ own thought and language. These natural processes are best examined at a more-than-human level that exceeds individuation, stable identity, rational comprehension, and linguistic capture. B62 (“mortals immortals”), one of Heraclitus’ most perplexing fragments, models these processes in a spectacular fashion: it describes the imbrication not only of humans and (...) gods but of cosmic masses more generally, and its language mimics the natural relations that it names, or rather intimates through its grammatical and syntactical indeterminacy. The remaining fragments amplify the uncertainties and the exhilarations of Heraclitus’ worldview along the same lines. His approach to nature raises urgent questions about how human beings fit into the cosmos, not least by challenging our intuitive conceptions of life and death, our material makeup, and our entanglements with our natural surroundings. In doing so, he provides vital lessons for contemporary ecological awareness, and proves to be an unexpected ally. (shrink)

This volume is divided into three major parts, each of which symbolizes a new virtuous circle that is added to the previous one in order to foster the dissemination of humanistic management among corporations and social institutions. After an introductory chapter explaining the concept of humanistic management and the plan behind this research project, the first part of the book is devoted to education. The authors address pedagogical strategies that can be used in higher education to introduce students to HM. (...) In turn, the second part of the book focuses on the implementation of HM in corporations, while the third presents an approach for measuring and monetizing the social value generated by corporations through their economic activities. In the closing chapter, the editors illustrate how the three parts of the book can be combined to generate virtuous cycles in corporations. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Cycle of Violence and Feminist Constructions of Selfhood Jennifer L. Rike University ofDetroit Mercy Violence is the heart and secret soul ofthe sacred" (Girard 1977, 31). René Girard reaches this shocking conclusion by tracing the dynamics ofthe generation ofviolence in history, and the ingenious ways in which humanity has learned to funnel violence into ritual sacrifice to avoid apocalypse. His argument pivots upon his understanding ofhumanity as inherently (...) flawed, as fated to conflict in the struggle to survive. Ifthe sacred mechanism of ritual sacrifice is not deployed, violence takes on a power and personality all its own: "If left unappeased, violence will accumulate until it overflows its confines and floods the surrounding area. The role ofsacrifice is to stem this rising tide... and redirect violence into 'proper' channels" (10). Girard's theory about the violent origins ofthe sacred institutions of ritual sacrifice, law, and myth highlights perhaps the chief paradox of religion: it has been used to promote as much as to oppose violence. Today, as feminists explore how women in particular have been the objects ofsuch violence, they too have turned to Girard to understand this paradox, and yet most have ended up criticizing Girard for falsely universalizing typically Eurocentric and androcentric conceptions of humanity, violence, and religion (Shea, Kirk-Duggan, Nowak 24-6).' While they may be right on certain points, it is also possible that the rush offeminist scholars to charge 1 Nancy Jay has also criticized Girard for androcentrism, in particular because "he still grounds all community and culture on male control of male violence" (130). 22Jennifer L. Rike Girard with androcentrism reflects their own refusals to confront how the dark face of violence appears in women as well as in men. Rather than evaluating specific feminist criticisms ofGirard in this regard, I propose a more global approach—to delineate in greater detail how feminist constructions of selfhood need to be informed by Girard's theory of the violent origins ofthe sacred in order for feminism to achieve its own goals. In Girard's view, the ritual ofsacrifice and the law are generated out ofthe socio-psychological mechanisms ofacquisitive mimesis and scapegoating as the sacred's way of controlling violence. In ways he leaves largely implicit, these mechanisms reflect the devastating cyclical effects of violence upon its victims. Girard stops short of reflecting on the roles gender plays in the cyclical processes of violence, and yet, as my subsequent analyses shall demonstrate, there can be little doubt that women participate in these processes in ways both like and unlike men. Women have been scapegoated throughout history, but not all women end up as victims ofviolence and the rituals constructed to appease it. Nor do many women remain simply victims of the tides of violence: many repeat the cycle of victimization and themselves become perpetrators. Moreover, some escape the cycle ofviolence by a variety ofmeans whose patterns are well worth scrutinizing. My point is that women's modes of participation in the processes through which violence makes and remakes itself are far more complex than has been recognized, and merit our full attention. From the perspective of feminist constructions of selfhood, the question then becomes, how does gender affect one's experience of acquisitive mimesis and scapegoating, victimage and perpetration? To claim that only women are victims and only men—and the women they have co-opted—are perpetrators may be politically correct, but that claim ignores some hard but ultimately helpful truths about what women must do to bring about the changes necessary for revolutionizing our society by transforming its violent ways into peaceful ones. My plan, then, is to suggest how Girard might be used to advance the theory and praxis of feminism further by delving into the psychological mechanisms underlying acquisitive mimesis and scapegoating. I shall argue that using object relations theory to understand the ways in which violence splits the human psyche complements Girard's conception of acquisitive mimesis and scapegoating to disclose the complete dynamics ofthe cycle ofviolence. Such understanding is essential to feminist reconstructions of selfhood, because it makes the defeat of sexism and violence possible by exposing them at their roots. Feminist Constructions ofSelfhood23 My project has four steps... (shrink)

Change and local spatial variation are missing in canonical General Relativity's observables as usually defined, an aspect of the problem of time. Definitions can be tested using equivalent formulations of a theory, non-gauge and gauge, because they must have equivalent observables and everything is observable in the non-gauge formulation. Taking an observable from the non-gauge formulation and finding the equivalent in the gauge formulation, one requires that the equivalent be an observable, thus constraining definitions. For massive photons, the de Broglie-Proca (...) non-gauge formulation observable A_{\mu} is equivalent to the Stueckelberg-Utiyama gauge formulation quantity A_{\mu} + \partial_{\mu} \phi, which must therefore be an observable. To achieve that result, observables must have 0 Poisson bracket not with each first-class constraint, but with the Rosenfeld-Anderson-Bergmann-Castellani gauge generator G, a tuned sum of first-class constraints, in accord with the Pons-Salisbury-Sundermeyer definition of observables. The definition for external gauge symmetries can be tested using massive gravity, where one can install gauge freedom by parametrization with clock fields X^A. The non-gauge observable g^{\mu\nu} has the gauge equivalent X^A,_{\mu} g^{\mu\nu} X^B,_{\nu}. The Poisson bracket of X^A,_{\mu} g^{\mu\nu} X^B,_{\nu} with G turns out to be not 0 but a Lie derivative. This non-zero Poisson bracket refines and systematizes Kuchař's proposal to relax the 0 Poisson bracket condition with the Hamiltonian constraint. Thus observables need covariance, not invariance, in relation to external gauge symmetries. The Lagrangian and Hamiltonian for massive gravity are those of General Relativity + \Lambda + 4 scalars, so the same definition of observables applies to General Relativity. Local fields such as g_{\mu\nu} are observables. Thus observables change. Requiring equivalent observables for equivalent theories also recovers Hamiltonian-Lagrangian equivalence. (shrink)

Is change missing in Hamiltonian Einstein–Maxwell theory? Given the most common definition of observables, observables are constants of the motion and nonlocal. Unfortunately this definition also implies that the observables for massive electromagnetism with gauge freedom are inequivalent to those of massive electromagnetism without gauge freedom. The alternative Pons–Salisbury–Sundermeyer definition of observables, aiming for Hamiltonian–Lagrangian equivalence, uses the gauge generator G, a tuned sum of first-class constraints, rather than each first-class constraint separately, and implies equivalent observables for equivalent (...) massive electromagnetisms. For General Relativity, G generates 4-dimensional Lie derivatives for solutions. The Lie derivative compares different space-time points with the same coordinate value in different coordinate systems, like 1 a.m. summer time versus 1 a.m. standard time, so a vanishing Lie derivative implies constancy rather than covariance. Requiring equivalent observables for equivalent formulations of massive gravity confirms that G must generate the 4-dimensional Lie derivative for observables. These separate results indicate that observables are invariant under internal gauge symmetries but covariant under external gauge symmetries, but can this bifurcated definition work for mixed theories such as Einstein–Maxwell theory? Pons, Salisbury and Shepley have studied G for Einstein–Yang–Mills. For Einstein–Maxwell, both \ and \ are invariant under electromagnetic gauge transformations and covariant under 4-dimensional coordinate transformations. Using the bifurcated definition, these quantities count as observables, as one would expect on non-Hamiltonian grounds. (shrink)

The emerging discipline of complexity science, applied to the social sciences, seeks to study the rise of human civilization as a part of a natural, evolving biological system that exploits energy resources to fuel its growth into a complex social system. In order to understand the whole system, the reductionist approach, typical to Western science, must be supplanted. The atomistic study of various scientific fields as separate mechanical parts of the system must be broadened, creating a more holistic view of (...) human culture as an integral part of larger universal process of evolution and creation. In this article I wish to integrate the various scientific fields, including physics, chronobiology, biology, evolutionary psychology, and the social sciences, to achieve a unified understanding of our cultural evolution. (shrink)

The graphs present the data in a fashion that will be clear to any audience, and the text is straightforward and persuasive. This book carries the study of historical dynamics to a whole new level.

Change and local spatial variation are missing in Hamiltonian general relativity according to the most common definition of observables as having 0 Poisson bracket with all first-class constraints. But other definitions of observables have been proposed. In pursuit of Hamiltonian–Lagrangian equivalence, Pons, Salisbury and Sundermeyer use the Anderson–Bergmann–Castellani gauge generator G, a tuned sum of first-class constraints. Kuchař waived the 0 Poisson bracket condition for the Hamiltonian constraint to achieve changing observables. A systematic combination of the two (...) reforms might use the gauge generator but permit non-zero Lie derivative Poisson brackets for the external gauge symmetry of General Relativity. Fortunately one can test definitions of observables by calculation using two formulations of a theory, one without gauge freedom and one with gauge freedom. The formulations, being empirically equivalent, must have equivalent observables. For de Broglie-Proca non-gauge massive electromagnetism, all constraints are second-class, so everything is observable. Demanding equivalent observables from gauge Stueckelberg–Utiyama electromagnetism, one finds that the usual definition fails while the Pons–Salisbury–Sundermeyer definition with G succeeds. This definition does not readily yield change in GR, however. Should GR’s external gauge freedom of general relativity share with internal gauge symmetries the 0 Poisson bracket, or is covariance sufficient? A graviton mass breaks the gauge symmetry, but it can be restored by parametrization with clock fields. By requiring equivalent observables, one can test whether observables should have 0 or the Lie derivative as the Poisson bracket with the gauge generator G. The latter definition is vindicated by calculation. While this conclusion has been reported previously, here the calculation is given in some detail. (shrink)