Prior work shows that the possibility of action to an object facilitates attentional deployment. We sought to investigate the neural mechanisms underlying this modulation of attention by examining ERPs to target objects that were either congruently or incongruently gripped for their use in the presence of a congruently or incongruently gripped distractor. Participants responded to the presence or absence of a target object matching a preceding action word with a distractor object presented in the opposite location. Participants were faster in (...) responding to congruently gripped targets compared to incongruently gripped targets. There was a reduced N2pc potential when the target was congruently gripped, and the distractor was incongruently gripped compared to the conditions where targets were incongruently gripped or when the distractor, as well as target, was congruently gripped. The N2pc results indicate that target selection is easier when action information is congruent with an object’s use. (shrink)

For some thirteen years now, the World Bank (‘the Bank’) has regularly reported the number of people living below an international poverty line, colloquially known as ‘$1/day’.3 Reports for the most recent year, 1998, put this number at 1,175.14 million.4 The Bank’s estimates of severe income poverty — its global extent, geographical distribution, and trend over time — are widely cited in official publications by governments and international organizations and in popular media, often in support of the view that liberalization (...) and globalization have helped to reduce poverty worldwide. For instance, the President of the World Bank recently declared: “Over the past few years, these better policies have contributed to more rapid growth in developing countries’ per capita incomes than at any point since the mid-1970s. And faster growth has meant poverty reduction: the proportion of people worldwide living in absolute poverty has dropped steadily in recent decades, from 29% in 1990 to a record low of 23% in 1998. After increasing steadily over the past two centuries, since 1980 the total number of people living in poverty worldwide has fallen by an estimated 200 million — even as the world’s population grew by 1.6 billion.”. (shrink)

The field of Neuro-Engineering seems to be on the fast track towards accomplishing its ultimate goal of potentially replacing the nervous system in the face of disease. Meanwhile, the patients and professionals involved are continuously dealing with human bodily experience and especially how neuro-engineering devices could become part of a user’s body schema: the domain of ‘embodied phenomenology’. This focus on embodiment, however, is not sufficiently reflected in the current literature on ethical and philosophical issues in neuro-engineering. In this article (...) we will focus on this lacuna by explaining existing data on neuro-engineering user’s experiences by using phenomenological concepts such as transparency and the concepts that may facilitate this: functionality, sensorimotor feedback and affective tolerance. By introducing and applying these concepts to four real life case examples, we will discuss practical implications and guidelines which can contribute to the actual success of incorporation of the device by the patient. First, we will discuss the importance of a ‘Patient Preference Diagnosis’, which can serve as a way to prepare the patient for the existential reorientation involved in the process. In addition, a Patient Transparency Diagnosis during and after such a process is also relevant when wanting to provide the medical field in general with feedback, and the patient in particular with possibilities to fine-tune the device. From these practical guidelines we will conclude that the phenomenological approach can be very valuable when applied to the field of neuro-engineering. (shrink)

The field of Neuro-Engineering seems to be on the fast track towards accomplishing its ultimate goal of potentially replacing the nervous system in the face of disease. Meanwhile, the patients and professionals involved are continuously dealing with human bodily experience and especially how neuro-engineering devices could become part of a user’s body schema: the domain of ‘embodied phenomenology’. This focus on embodiment, however, is not sufficiently reflected in the current literature on ethical and philosophical issues in neuro-engineering. In this article (...) we will focus on this lacuna by explaining existing data on neuro-engineering user’s experiences by using phenomenological concepts such as transparency and the concepts that may facilitate this: functionality, sensorimotor feedback and affective tolerance. By introducing and applying these concepts to four real life case examples, we will discuss practical implications and guidelines which can contribute to the actual success of incorporation of the device by the patient. First, we will discuss the importance of a ‘Patient Preference Diagnosis’, which can serve as a way to prepare the patient for the existential reorientation involved in the process. In addition, a Patient Transparency Diagnosis during and after such a process is also relevant when wanting to provide the medical field in general with feedback, and the patient in particular with possibilities to fine-tune the device. From these practical guidelines we will conclude that the phenomenological approach can be very valuable when applied to the field of neuro-engineering. (shrink)

A testable model of the origin of money is outlined. Based on the notion of epistemic structures, the account integrates the tool and drug views using a common underlying model, and addresses the two puzzles presented by Lea & Webley (L&W) – money's biological roots and the adaptive significance of our tendency to acquire money. (Published Online April 5 2006).

In the annals of Indian modernity, narratives of tricksters and counterfeiters have a long, popular, and cautionary history. The topographies of deception outlined by colonial and post-colonial police reports established both its history as an aspect of modern industrial life as well as the city as the ‘scene of the crime’. This article explores the meanings that attach to certain contemporary acts of deceiving and faking, and the ways in which they are both produced by being in the city as (...) well as producing certain kinds of relationships. The article focuses on the residents of a Delhi slum and their various acts of producing fake identity cards and a variety of other documents. It offers a discussion about simulation and dissimulation, feigning and duplicity, and passing and pretending as significant contexts for gaining security of livelihood and residence in the city as well as constituting specific senses of community. Faking and counterfeiting, the article suggests, are arenas where the state both constitutes itself and contributes to the making of imagined non-state sensibilities of community. (shrink)

In this book, Christian Barry and Sanjay G. Reddy propose ways in which the international trading system can support poor countries in promoting the well-being of their peoples.

This research explores the influence of religiosity on consumer perception of, and response toward, sexual appeals. The first study (survey, national sample; n = 423) examines the relationship between religiosity and consumer response toward sexual appeals using causal modeling. Study 1 finds that high intrinsic religiosity consumers exhibit more adverse ethical judgments toward the company’s use of sexual appeals and these judgments, in turn, result in inferior attitudes and purchase intent toward the advertised brand. To confirm and expand on these (...) findings, the second study (experiment, young adult sample; n = 216) examines the influence of intrinsic religiosity on consumer response toward both sexual and nonsexual appeals. The results show that sexual appeals elicit inferior (superior) ethical judgments, attitudes, and purchase intent among consumers high (low) in intrinsic religiosity. In contrast, nonsexual appeals elicit (un)favorable responses from consumers who are (low) high in intrinsic religiosity. (shrink)

Novel computational representations, such as simulation models of complex systems and video games for scientific discovery, are dramatically changing the way discoveries emerge in science and engineering. The cognitive roles played by such computational representations in discovery are not well understood. We present a theoretical analysis of the cognitive roles such representations play, based on an ethnographic study of the building of computational models in a systems biology laboratory. Specifically, we focus on a case of model-building by an engineer that (...) led to a remarkable discovery in basic bioscience. Accounting for such discoveries requires a distributed cognition analysis, as DC focuses on the roles played by external representations in cognitive processes. However, DC analyses by and large have not examined scientific discovery, and they mostly focus on memory offloading, particularly how the use of existing external representations changes the nature of cognitive tasks. In contrast, we study discovery processes and argue that discoveries emerge from the processes of building the computational representation. The building process integrates manipulations in imagination and in the representation, creating a coupled cognitive system of model and modeler, where the model is incorporated into the modeler's imagination. This account extends DC significantly, and we present some of the theoretical and application implications of this extended account. (shrink)

The well-established techniques of the professional storyteller not only have the potential to model complex “truth” but also to dig deeply into that complexity, thereby perhaps getting closer to that truth. This applies not only to fiction, but also to medicine and even science. Compelling storytelling ability may have conferred an evolutionary survival advantage and, if so, is likely represented in the neural circuitry of the human brain. Functional imaging will likely point to a neuroanatomical basis for compelling storytelling ability; (...) this will presumably reflect underlying cellular and molecular mechanisms. (shrink)

Modified rules for the accumulation and discharge of international sovereign debt can codify the moral and legal basis for existing ad hoc deviations and present a justifiable framework within which international lending and borrowing can take place.

I present a case study of scientific discovery, where building two functional and behavioral approximations of neurons, one physical and the other computational, led to conceptual and implementation breakthroughs in a neural engineering laboratory. Such building of external systems that mimic target phenomena, and the use of these external systems to generate novel concepts and control structures, is a standard strategy in the new engineering sciences. I develop a model of the cognitive mechanism that connects such built external systems with (...) internal models, and I examine how new discoveries, and consensus on discoveries, could arise from this external‐internal coupling and the building process. The model is based on the emerging framework of common coding, which proposes a shared representation in the brain between the execution, perception, and imagination of movement. (shrink)

. Management scholars and practitioners often believe that individuals and organizations benefit by trusting their work contacts. (Husted, 1998; Sonnenberg, 1994) Trust is generally viewed as “good” and imperative to a modern functioning economy (Blau, 1964; Hosmer, 1995; Zucker, 1986) Consequently, scholars and practitioners have given scant attention to the “downside” of trust, despite the fact that trust involves taking risk under conditions of uncertainty (Rousseau et al., 1998) Recent corporate scandals show that people suffer when they misplace trust in (...) untrustworthy organizations and individuals. This paper develops a model of the causes and consequences of “over-trust,” which we define as a state where a trustor’s trust exceeds that which is warranted given the conditions. The antecedents of overtrust related to characteristics of the trustee, the trustor, and situational characteristics. We examine the role played by self-monitoring and perceived power base of the trustee as two key trustee characteristics. Among trustor characteristics, we examine the role (played by trustor’s core evaluation, core values). based on cultural affiliation), prior experiences with trustees, and use of habitual thinking behavior. Under characteristics of the situation, we examine the role played by uncertainty inherent in the situation, perceived threat from the context, degree of task interdependence, and organizational systems and routines. Next, we examine three consequences of over-trust – leniency in judging the trustee, delay in perceiving exploitation, and increased risk-taking. We conclude our paper by developing a set of guidelines that organizational members may employ to avoid over-trust. (shrink)

International monetary arrangements currently appear to have consequences that are incompatible with a global egalitarian conception of distributive justice. How can we create alternatives?

We outline three challenges involved in designing external representations that promote sustainable use of natural resources. First, the task environment of sustainable resource-use is highly unstructured, and involves many uncoordinated and asynchronous actions. Following from this complex nature of the task environment, more task constraints and task interactions are involved in designing representations promoting sustainability, compared to representations that seek to make tasks easier in structured task environments, such as aircraft cockpits and control rooms. Second, external representations promoting sustainable resource-use (...) need to motivate people to make decisions that sustain resources, and persist with this behavior, even though alternate behaviors are easier and commonplace. Third, external representations promoting sustainability also need to lower the cognitive load involved in sustainability decisions. This three-tiered function (meeting complex task constraints, providing motivation, lowering cognitive load) makes such representations challenging to design. However, some early prototype designs promoting sustainable resource-use have appeared recently, primarily addressing electricity use. Analyzing these digital prototypes, we outline three design principles they share, and show how these seek to address the complexities of the sustainability problem-space (complexity of task environments, goals, and representations). We then argue that at least two further cognitive scaffolds are required for effectively promoting sustainable resource use (action scripts, deconstruction). We close with some of the limitations of this approach to promoting sustainability, and outline future work. (shrink)

We outline three challenges involved in designing external representations that promote sustainable use of natural resources. First, the task environment of sustainable resource-use is highly unstructured, and involves many uncoordinated and asynchronous actions. Following from this complex nature of the task environment, more task constraints and task interactions are involved in designing representations promoting sustainability, compared to representations that seek to make tasks easier in structured task environments, such as aircraft cockpits and control rooms. Second, external representations promoting sustainable resource-use (...) need to motivate people to make decisions that sustain resources, and persist with this behavior, even though alternate behaviors are easier and commonplace. Third, external representations promoting sustainability also need to lower the cognitive load involved in sustainability decisions. This three-tiered function makes such representations challenging to design. However, some early prototype designs promoting sustainable resource-use have appeared recently, primarily addressing electricity use. Analyzing these digital prototypes, we outline three design principles they share, and show how these seek to address the complexities of the sustainability problem-space. We then argue that at least two further cognitive scaffolds are required for effectively promoting sustainable resource use. We close with some of the limitations of this approach to promoting sustainability, and outline future work. (shrink)

This article contains an abstract of Dr. Sanjay Patnaik’s dissertation as well as a commentary essay on the research process in the appendix. In his dissertation, Dr. Patnaik examines the importance of the non-market environment for firm strategy and performance within the context of newly introduced regulations for greenhouse gases in Europe. The dissertation abstract contains a description of each dissertation chapter, including research questions, methodologies, and results. The commentary essay describes the author’s perspective on conducting research as an (...) emerging scholar. (shrink)

What is ‘evil’? What are the ways of overcoming this destructive and morally recalcitrant phenomenon? To what extent is the use of punitive violence tenable? _Evil and the Philosophy of Retribution _compares the responses of three modern Indian commentators on the Bhagavad-Gita — Aurobindo Ghose, Bal Gangadhar Tilak and Mahatma Gandhi. The book reveals that some of the central themes in the Bhagavad-Gita were transformed by these intellectuals into categories of modern socio-political thought by reclaiming them from pre-modern debates on (...) ritual and renunciation. Based on canonical texts, this work presents a fascinating account of how the relationship between ‘good’, ‘evil’ and retribution is construed against the backdrop of militant nationalism and the development of modern Hinduism. Amid competing constructions of Indian tradition as well as contemporary concerns, it traces the emerging representations of modern Hindu self-consciousness under colonialism, and its very understanding of evil surrounding a textual ethos. Replete with Sanskrit, English, Marathi, and Gujarati sources, this will especially interest scholars of modern Indian history, philosophy, political science, history of religion, and those interested in the Bhagavad-Gita. (shrink)

Gandhi’s conception of non-violence was unique in having martial and maternal elements. He drew upon the mythological figure of the noble warrior but he also stressed maternal capacity for love and endurance. The virtuous self-suffering woman and the Kshatriya warrior were the ideals that Gandhi shared with his militant Hindu nationalist opponents. By bringing together these two ideals in the combative non-violent soldier, Gandhi tried to invert his opponents’ hierarchy of values. He proposed that dying without enmity towards the adversary (...) is more courageous than killing. The truth-force required to subdue the enmity of the adversary is generated from within oneself by overcoming fear, desires and attachments. Because of the male-centric nature of this overcoming, Gandhi’s break with the militant nationalists remained incomplete. The diverse elements drawn from various traditions did not blend in the figure of the non-violent soldier because Gandhi’s interpretations of these past ideas remained influenced by the masculinist anxieties of contemporary nationalism. (shrink)

We are at the dawn of something spectacular: cutting-edge discoveries are rewriting the boundaries between modern science and ancient spirituality. There is a clear convergence that demonstrates spiritual abilities and the divine are Real. Ancient teachers and yogis millennia ago taught us the art of living in the present moment; connecting with our higher selves; feeling the interconnectedness of the whole universe; bonding with all people; and developing stillness and mindfulness to heal our body and spirit. Today, all these skills (...) have proven beneficial to millions of people. Moreover, ancient philosophical parallels with modern discoveries in consciousness studies, quantum non-locality, and inseparability have been known since the seventies. Now, after two decades of pioneering discoveries in science, breathtaking and observable parallels with our world and universe are also emerging. This makes sense. If the ancients genuinely experienced the philosophy, they should also have known our world and universe, too. And here's the amazing evidence. An extraordinary new porthole into their ancient beliefs has opened. They are not generalized, stretched, or speculative. They are specific and objective. Anyone - theist, agnostic, skeptic, and atheist - all can easily verify. And you don't require a background in science to do so. The findings are meticulous and many have appeared in mainstream, peer-reviewed scientific journals. Also remarkable, new studies reveal a possible ancient connection between Yoga and the Bible. Genesis can be seen in a whole new light. Patel demonstrates how it leads to a magnificent, 100 percent solution to each of its Seven Days and Noah's Flood. The harmonious findings resolve many major criticisms of spiritual beliefs. They also nurture peace and mutual respect between science and the world's faiths. These amazing discoveries are yet more evidence that there is a path to harmony. A path to one. Consciousness is universal. Everything is intertwined. The Divine is Real. www.SanjayCPatel.com Reviews: "REALLY LIKED IT. AUTHENTIC." - Prof. P.S. Joshi. Scientific writer for the prestigious THE SCIENTIFIC AMERICAN Journal. Fields: general relativity, cosmology, stellar evolution, naked singularities, black holes. (shrink)

In this modern world, a massive amount of data is processed and broadcasted daily. This includes the use of high energy, massive use of memory space, and increased power use. In a few applications, for example, image processing, signal processing, and possession of data signals, etc., the signals included can be viewed as light in a few spaces. The compressive sensing theory could be an appropriate contender to manage these limitations. “Compressive Sensing theory” preserves extremely helpful while signals are sparse (...) or compressible. It very well may be utilized to recoup light or compressive signals with less estimation than customary strategies. Two issues must be addressed by CS: plan of the estimation framework and advancement of a proficient sparse recovery calculation. The essential intention of this work expects to audit a few ideas and utilizations of compressive sensing and to give an overview of the most significant sparse recovery calculations from every class. The exhibition of acquisition and reconstruction strategies is examined regarding the Compression Ratio, Reconstruction Accuracy, Mean Square Error, and so on. (shrink)

This document provides a vision of the communications-related aspects of the Smart Grid in the year 2030, and lays out the technology roadmap that will lead us to the vision. This document starts with some basic knowledge of the power grid and follows up with fundamental building blocks for the communication infrastructure that will accompany the Smart Grid. Subsequently, network architectures, including overlays, are discussed at length. Also discussed, are important issues such as standards, regulations, security, and disruptive technologies. The (...) last part of this document discusses emerging technologies such as the solid state transformer, wireless beamed power, and quantum key distribution. Throughout the document, a careful distinction is made between communications capabilities and the specific technologies that are required to support those capabilities. (shrink)

The assumptions that are made about the features of the world that are relatively changeable by agents and those that are not (constraints) play a central role in determining normative conclusions. In this way, normative reasoning is deeply dependent on accounts of the empirical world. Successful normative reasoning must avoid the naturalization of constraints and seek to attribute correctly to agents what is and is not in their power to change. Recent discourse on global justice has often come to unjustified (...) conclusions about agents obligations due to a narrow view of what is changeable and by whom. (shrink)

ABSTRACT BACKGROUND: The objective of this study was to identify factors motivating women to take part in endometriosis research and to determine if these factors differ for women participating in clinical versus basic science studies. METHODS: A consecutive series of 24 women volunteering for participation in endometriosis‐related research were asked to indicate, in their own words, why they chose to volunteer. In addition, the women were asked to rate, on a scale of 0 to 10, sixteen potentially motivating factors. The (...) information was gathered in the form of an anonymous self‐administered questionnaire. RESULTS: Strong motivating factors (mean score >8) included potential benefit to other women's health, improvement to one's own condition, and participation in scientific advancement. Weak motivating factors (mean score <3) included financial compensation, making one's doctor happy, and use of ‘natural’ products. No difference was detected between clinical and basic science study participants. CONCLUSION: This study is the first study to specifically investigate the factors that motivate women to take part in endometriosis research. Understanding why women choose to take part in such research is important to the integrity of the informed consent process. The factors most strongly motivating women to participate in endometriosis research related to improving personal or public health; the weakest, to financial compensation and pleasing the doctor. (shrink)

This aricle discusses the similarity between the propagation of pathogens (viruses and worms) on computer networks and the proliferation of pathogens in cellular organisms (organisms with genetic material contained within a membrane-encased nucleus). It introduces several biological mechanisms which are used in these organisms to protect against such pathogens and presents security models for networked computers inspired by several biological paradigms, including genomics (RNA interference), proteomics (pathway mapping), and physiology (immune system). In addition, the study of epidemiological models for disease (...) control can inspire methods for controlling the spread of pathogens across multiple nodes of a network. It also presents results based on the authors’ research in immune system modeling. (shrink)

The behaviour of autonomous agents may deviate from that deemed to be for the good of the societal systems of which they are a part. Norms have therefore been proposed as a means to regulate agent behaviours in open and dynamic systems, where these norms specify the obliged, permitted and prohibited behaviours of agents. Regulation can effectively be achieved through use of enforcement mechanisms that result in a net loss of utility for an agent in cases where the agent’s behaviour (...) fails to comply with the norms. Recognition of compliance is thus crucial for achieving regulation. In this paper, we propose a general framework for observation of agents’ behaviour, and recognition of this behaviour as constituting, or counting as, compliance or violation. The framework deploys monitors that receive inputs from trusted observers, and processes these inputs together with transition network representations of individual norms. In this way, monitors determine the fulfillment or violation status of norms. The paper also describes a proof of concept implementation of the framework, and its deployment in electronic contracting environments. (shrink)

Globally, family firms are the dominant organizational form. Family involvement in business and unique family dynamics impacts organizational strategy and performance. However, family control of business has rarely been adopted as a discriminating variable in the organizations and the natural environment (ONE) research field. Drawing on the theory of planned behavior we develop a conceptual framework of the drivers of proactive environmental strategy (PES) in family firms. We argue that family involvement in business influences the attitudes, subjective norms, and perceived (...) behavioral control of a firm’s dominant coalition. Together these factors determine the extent of the dominant coalition’s intentions to undertake PES. Further, family firms with lower levels of relationship conflict within the controlling family will be more successful in translating the dominant coalition’s intentions to allocate resources for the pursuit of PES. Research implications of the theory are discussed. (shrink)

There is an increasing need for norms to be embedded in technology as the widespread deployment of applications such as autonomous driving, warfare and big data analysis for crime fighting and counter-terrorism becomes ever closer. Current approaches to norms in multi-agent systems tend either to simply make prohibited actions unavailable, or to provide a set of rules which the agent is obliged to follow, either as part of its design or to avoid sanctions and punishments. In this paper we argue (...) for the position that agents should be equipped with the ability to reason about a system’s norms, by reasoning about the social and moral values that norms are designed to serve; that is, perform the sort of moral reasoning we expect of humans. In particular we highlight the need for such reasoning when circumstances are such that the rules should arguably be broken, so that the reasoning can guide agents in deciding whether to comply with the norms and, if violation is desirable, how best to violate them. One approach to enabling this is to make use of an argumentation scheme based on values and designed for practical reasoning: arguments for and against actions are generated using this scheme and agents choose between actions based on their preferences over these values. Moral reasoning then requires that agents have an acceptable set of values and an acceptable ordering on their values. We first discuss how this approach can be used to think about and justify norms in general, and then discuss how this reasoning can be used to think about when norms should be violated, and the form this violation should take. We illustrate how value based reasoning can be used to decide when and how to violate a norm using a road traffic example. We also briefly consider what makes an ordering on values acceptable, and how such an ordering might be determined. (shrink)

Identification of programs for computable functions from their graphs and identification of grammars for recursively enumerable languages from positive data are two extensively studied problems in the recursion theoretic framework of inductive inference.In the context of function identification, Freivalds et al. have shown that only those collections of functions, , are identifiable in the limit for which there exists a 1-1 computable numbering ψ and a discrimination function d such that1. for each , the number of indices i such that (...) ψi = ƒ is exactly one and2. for each , there are only finitely many indices i such that ƒ and ψi agree on the first d arguments.A similar characterization for language identification in the limit has turned out to be difficult. A partial answer is provided in this paper. Several new techniques are introduced which have found use in other investigations on language identification. (shrink)

Acceptable programming systems have many nice properties like s-m-n-Theorem, Composition and Kleene Recursion Theorem. Those properties are sometimes called control structures, to emphasize that they yield tools to implement programs in programming systems. It has been studied, among others by Riccardi and Royer, how these control structures influence or even characterize the notion of acceptable programming system. The following is an investigation, how these control structures behave in the more general setting of complete numberings as defined by Mal'cev and Eršov.

Acceptable programming systems have many nice properties like s-m-n-Theorem, Composition and Kleene Recursion Theorem. Those properties are sometimes called control structures, to emphasize that they yield tools to implement programs in programming systems. It has been studied, among others by Riccardi and Royer, how these control structures influence or even characterize the notion of acceptable programming system. The following is an investigation, how these control structures behave in the more general setting of complete numberings as defined by Mal'cev and Eršov.

Limiting identification of r.e. indexes for r.e. languages (from a presentation of elements of the language) and limiting identification of programs for computable functions (from a graph of the function) have served as models for investigating the boundaries of learnability. Recently, a new approach to the study of "intrinsic" complexity of identification in the limit has been proposed. This approach, instead of dealing with the resource requirements of the learning algorithm, uses the notion of reducibility from recursion theory to compare (...) and to capture the intuitive difficulty of learning various classes of concepts. Freivalds, Kinber, and Smith have studied this approach for function identification and Jain and Sharma have studied it for language identification. The present paper explores the structure of these reducibilities in the context of language identification. It is shown that there is an infinite hierarchy of language classes that represent learning problems of increasing difficulty. It is also shown that the language classes in this hierarchy are incomparable, under the reductions introduced, to the collection of pattern languages. Richness of the structure of intrinsic complexity is demonstrated by proving that any finite, acyclic, directed graph can be embedded in the reducibility structure. However, it is also established that this structure is not dense. The question of embedding any infinite, acyclic, directed graph is open. (shrink)