In this paper we discuss a view of the Machine Learning technique called Explanation-Based Learning (EBL) or Explanation-Based Generalization (EBG) as a process for the interpretation of vague concepts in logic-based models of law.The open-textured nature of legal terms is a well-known open problem in the building of knowledge-based legal systems. EBG is a technique which creates generalizations of given examples on the basis of background domain knowledge. We relate these two topics by considering EBG''s domain knowledge as (...) corresponding to statute law rules, and EBG''s training example as corresponding to a precedent case. (shrink)

This paper builds a dialectical system of explanation with speech act rules that define the kinds of moves allowed, like requesting and offering an explanation. Pre and post-condition rules for the speech acts determine when a particular speech act can be put forward as a move in the dialogue, and what type of move or moves must follow it. A successful explanation has been achieved when there has been a transfer of understanding from the party giving the explanation to (...) the party asking for it. The dialogue has an opening stage, an explanation stage and a closing stage. Whether a transfer of understanding has taken place is tested by a dialectical shift to an examination dialogue. (shrink)

I find myself ambivalent with respect to the line of argument that Schonbein offers. I certainly want to acknowledge and emphasize at the outset that Schonbein’s discussion has brought to the fore a number of central, compelling and intriguing issues regarding the nature of the dynamical approach to cognition. Though there is much that seems right in this essay, perhaps my view is that the paper invites more questions than it answers. My remarks here then are in the spirit of (...) scouting some of the surrounding terrain in order to see just what Schonbein’s claim is and what arguments or options may be open to the dynamicist. (shrink)

‘If in this book harsh words are spoken about some of the greatest among the intellectual leaders of mankind, my motive is not, I hope, to belittle them. It springs rather from my conviction that, if our civilization is to survive, we must break with the habit of deference to great men.’ - Karl Popper, from the Preface Written in political exile during the Second World War and first published in two volumes in 1945, Karl Popper’s _The Open Society (...) and Its Enemies _is one of the most influential books of all time. Hailed by Bertrand Russell as a ‘vigorous and profound defence of democracy’, its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems and through underground editions become an inspiration to lovers of freedom living under communism in Eastern Europe. Popper’s highly accessible style, his erudite and lucid explanations of the thoughts of great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of _The Open Society and Its Enemies_ and why it demands to be read today and in years to come. (shrink)

In Robert West’s talk last week, dynamical systems theory (DST) was applied to a specific problem involving interacting symbolic systems, without much reference to how those systems are embodied or related to other types of systems. Despite this level of abstraction, DST can yield interesting results, though one might be left wondering if it really leads to understanding, or what it all means. In particular, Robert noted problems he has in convincing referees that the sort of explanation he gave can (...) give a useful understanding, and that it doesn’t invoke dubious notions with its references to emergence, holism, and mathematical openness. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's The Open Society and Its Enemiesis one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of great (...) philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies, and for why it demands to be read both today and in years to come. This is the second of two volumes of The Open Society and Its Enemies. (shrink)

Periodic tables (PTs) are the ‘ultimate paper tools’ of general and inorganic chemistry. There are three fields of open questions concerning the relation between PTs and physics: (i) the relation between the chemical facts and the concept of a periodic system (PS) of chemical elements (CEs) as represented by PTs; (ii) the internal structure of the PS; (iii)␣The relation between the PS and atomistic quantum chemistry. The main open questions refer to (i). The fuzziness of the concepts (...) of chemical properties and of chemical similarities of the CE and their compounds guarantees the autonomy of chemistry. We distinguish between CEs, Elemental Stuffs and Elemental Atoms. We comment on the basic properties of the basic elements. Concerning (ii), two sharp physical numbers (nuclear charge and number of valence electrons) and two coarse fuzzy ranges (ranges of energies and of spatial extensions of the atomic orbitals, AOs) characterize the atoms of the CEs and determine the two-dimensional structure of the PS. Concerning (iii), some relevant ‘facts’ about and from quantum chemistry are reviewed and compared with common ‘textbook facts’. What counts in chemistry is the whole set of nondiffuse orbitals in low-energy average configurations of chemically bonded atoms. Decisive for the periodicity are the energy gaps between the core and valence shells. Diffuse Rydberg orbitals and minute spin–orbit splittings are important in spectroscopy and for philosophers, but less so in chemical science and for the PS. (shrink)

‘If in this book harsh words are spoken about some of the greatest among the intellectual leaders of mankind, my motive is not, I hope, to belittle them. It springs rather from my conviction that, if our civilization is to survive, we must break with the habit of deference to great men.’ - Karl Popper, from the Preface Written in political exile during the Second World War and first published in two volumes in 1945, Karl Popper’s The Open Society (...) and Its Enemies is one of the most influential books of all time. Hailed by Bertrand Russell as a ‘vigorous and profound defence of democracy’, its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems and through underground editions become an inspiration to lovers of freedom living under communism in Eastern Europe. Popper’s highly accessible style, his erudite and lucid explanations of the thoughts of great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies and why it demands to be read today and in years to come. (shrink)

It is an open question whether we ever successfully explain earlier states by appealing to later ones, and, further, whether this is even possible. Typically, these two questions are answered in the same way: if we give and accept ‘backwards explanations,’ they must be possible; if they are impossible, we are right to reject them. I argue that backwards explanations are brittle—they fail if the future event does not occur—and this is part of the reason they are (...) not accepted about the actual world. This does not mean, however, that they must be rejected entirely. I argue that backwards explanations are possible for certain systems. This shields unificationism about scientific explanation from some recent criticisms. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's The Open Society and Its Enemies is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies , and for why it demands to be read both today and in years to come. This is the first of two volumes of The Open Society and Its Enemies. (shrink)

Both Aristotle and Ernst Mayr present theories of dual explanation in biology, with proximal, clearly physical explanations and more distal, biology-specific explanations. Aristotle’s presentation of final cause explanations in Posterior Analytics relates final causes to the necessary material, formal, and efficient causes that mediate them. Johnson and Leunissen demonstrate the problematic nature of historical and recent interpretations and open the door for a new interpretation consistent with modern evolutionary theory. Mayr’s differentiation of proximate and ultimate/evolutionary causes (...) provides a key to appropriating Aristotle for modern use, if care is taken to differentiate Mayr’s proximate/distal and mechanical/evolutionary distinctions from his intentional/non-intentional distinction. Building on Mayr, and noting his appropriation of ancient and recent commentary, a strong case can be made for nested explanation, wherein evolutionary explanations are instantiated in systems of mechanical explanations. Biological concepts of organism, gene, function, etc., are etiologically prior to mechanical explanations of function, but temporally posterior to mechanical explanations of historical adaptation. Such an analysis sheds light on recent arguments within evolutionary biology while highlighting the importance of epistemology in contemporary science. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's _The Open Society and Its Enemies_ is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of_The Open Society and Its Enemies_, and for why it demands to be read both today and in years to come. This is the first of two volumes of _The Open Society and Its Enemies_. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's _The Open Society and Its Enemies_ is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of _The Open Society and Its Enemies_, and for why it demands to be read both today and in years to come. This is the second of two volumes of _The Open Society and Its Enemies_. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's The Open Society and Its Enemies is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies , and for why it demands to be read both today and in years to come. This is the second of two volumes of The Open Society and Its Enemies. (shrink)

In the last couple of years, a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the questions what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e., explanations that don’t cite causes in the explanans) sometimes take a form of the question of what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and in (...) virtue of what they are explanatory. These questions raise further issues about counterfactuals, modality, and explanatory asymmetries: i.e., do mathematical and non-causal explanations support counterfactuals, and how ought we to understand explanatory asymmetries in non-causal explanations? Even though these are very common issues in the philosophy of physics and mathematics, they can be found in different guises in the philosophy of biology where there is the statistical interpretation of the Modern Synthesis theory of evolution, according to which the post-Darwinian theory of natural selection explains evolutionary change by citing statistical properties of populations and not the causes of changes. These questions also arise in philosophy of ecology or neuroscience in regard to the nature of topological explanations. The question here is can the mathematical (or more precisely topological) properties in network models in biology, ecology, neuroscience, and computer science be explanatory of physical phenomena, or are they just different ways to represent causal structures. The aim of this special issue is to unify all these debates around several overlapping questions. These questions are: are there genuinely or distinctively mathematical and non-causal explanations?; are all distinctively mathematical explanations also non-causal; in virtue of what they are explanatory; does the instantiation, implementation, or in general, applicability of mathematical structures to a variety of phenomena and systems play any explanatory role? This special issue provides a platform for unifying the debates around several key issues and thus opens up avenues for better understanding of mathematical and non-causal explanations in general, but also, it will enable even better understanding of key issues within each of the debates. (shrink)

In this paper I argue for the superiority of a critical realist understanding of interdisciplinarity over a mainstream understanding of it. I begin by exploring the reasons for the failure of mainstream researchers to achieve interdisciplinarity. My main argument is that mainstream interdisciplinary researchers tend to hypostatize facts, fetishize constant conjunctions of events and apply to open systems an epistemology designed for closed systems. I also explain how mainstream interdisciplinarity supports oppression and gross inequality. I argue that mainstream interdisciplinarity (...) is not true interdisciplinarity and refer to it accordingly as ‘condisciplinarity’. By way of example, I examine the condisciplinarity of the World Health Organization’s ecological model applied to the issue of men’s violence against women. Specifically, I argue that critical realist interdisciplinarity is preferable because it acknowledges inter alia the empirical, actual and real layers of reality, which allows it to develop depth-explanations of phenomena. In practice, this means that critical realist interdisciplinarity can potentially provide explanations that, compared to condisciplinarity, are broader (include more of the human and non-human context) and deeper (include for example individuals’ conscious and unconscious psychological motivations). In the World Health Organization’s example of the causes of men’s violence against women, condisciplinarity resulted in the absence of historical, global and unconscious aspects of the problem. It is also restricted the analysis to reductive, constant-conjunction based theories of the causes of the problem, specifically ‘risk factors’, thereby providing a relatively shallow explanation for the problem. (shrink)

Since the constructibility quantifiers, used in the mathematical system to be developed, will all assert the constructibility of open sentences, an explanation is given of the kinds of open sentences that will be asserted to be constructible. Each of these open sentences will be assigned to a specific ‘level’, depending on the kind of objects or open sentences that can satisfy it, thus providing the basis for the Simple Type Theoretical characteristic of the system (...) to be developed. The satisfaction relation under discussion will be taken to be a primitive of the system. The relevance of Quine's objections to modality for this system is taken up. (shrink)

There is a deeply entrenched view in philosophy and physics, the closed systems view, according to which isolated systems are conceived of as fundamental. On this view, when a system is under the influence of its environment this is described in terms of a coupling between it and a separate system which taken together are isolated. We argue against this view, and in favor of the alternative open systems view, for which systems interacting with their environment are (...) conceived of as fundamental, and the environment's influence is represented via the dynamical equations that govern the system's evolution. Taking quantum theories of closed and open systems as our case study, and considering three alternative notions of fundamentality: (i) ontic fundamentality, (ii) epistemic fundamentality, and (iii) explanatory fundamentality, we argue that the open systems view is fundamental, and that this has important implications for the philosophy of physics, the philosophy of science, and for metaphysics. (shrink)

It is argued that those who defend the Everett, or ‘many-worlds’, interpretation of quantum mechanics should embrace what we call the general quantum theory of open systems (GT) as the proper framework in which to conduct foundational and philosophical investigations in quantum physics. GT is a wider dynamical framework than its alternative, standard quantum theory (ST). This is true even though GT makes no modifications to the quantum formalism. GT rather takes a different view, what we call the (...) class='Hi'>open systems view, of the formalism; i.e., in GT, the dynamics of systems whose physical states are fundamentally represented by density operators are represented as fundamentally open as specified by an in general non-unitary dynamical map. This includes, in principle, the dynamics of the universe as a whole. We argue that the more general dynamics describable in GT can be physically motivated, that there is as much prima facie empirical support for GT as there is for ST, and that GT could be fully in the spirit of the Everett interpretation—that there might, in short, be little reason for an Everettian not to embrace the more general theoretical landscape that GT allows one to explore. (shrink)

In this article, I present a novel approach to the scientific understanding of consciousness. It is based on the hypothesis that the full range of phenomenal qualities is built into the frequency spectrum of a ubiquitous background field and proceeds on the assumption that conscious systems employ a universal mechanism by means of which they are able to extract phenomenal nuances selectively from this field. I set forth that in the form of the zero-point field (ZPF) physics can offer a (...) promising candidate that is qualified for playing the dual role as both the carrier of energy and consciousness. The appropriate mechanism, which rests upon the principle of dynamical coupling of ZPF modes, is a unique feature of quantum systems, suggesting that the dividing line between conscious and non-conscious systems is defined by the differentiation between quantum systems and classical systems. The presence of this mechanism in the brain is supported by the neurophysiological body of evidence, leading to a consistent explanation of the dynamical properties of the neural correlates of consciousness. Building on these findings, I lay the foundations for the conceptually coherent integration of consciousness into the physical worldview, derive an indicator for the quantity of consciousness of a given system, and outline the further steps toward a theory of consciousness. (shrink)

A naturalistic theory of rationalization is defended against a fundamental objection. The theory claims that: The rationalizing relation can be fully analysed in causal explanatory terms. However, is rendered problematic by the fact that: Rationalizations exhibit a higher degree of intensionality than ordinary physical causal explanations. To show that can be maintained in the face of , I develop an account of on which and may be reconciled. ;The opening chapter gives an account of the intensionality of ordinary physical (...) causal explanations by developing a counterfactual analysis of causal relevance. Chapter II examines the nature and intensionality of rationalizations. It is argued that despite , a rationalization partly involves a causal relevance relation between its explanans and explanandum. ;In Chapter III, I consider an argument which implies that is false: Davidson's argument that there can be no psychophysical laws. An attempt is made to give a clear and compelling representation of this argument. As I interpret it, the argument depends on the alleged insolubility of the problem of causal deviance in action. ;Chapter IV develops a general theory of deviance according to which any functional system may produce output in a deviant way, and applies this theory to agents. A negative consequence of the theory is that an action may be performed in a deviant way even if the agent's intention causally explains the action . A positive consequence of the theory is that an action is performed in a non-deviant way just in case there is an appropriate causal explanation of why the agent's intention causes him to act. My specific suggestion is that an agent performs an action in a non-deviant way when and only when his intention causes him to act because he "knows how" to act in that way. ;In the last chapter, it is argued that our solution to the problem of deviance can be adapted to account for in causal explanatory terms. In this way and are reconciled. (shrink)

Data-sharing is a desired default in the field of public health and a source of much ethical deliberation. Sharing data potentially contributes the largest, most efficient source of scientific data, but is fraught with contextual challenges which make stakeholders, particularly those in under-resourced contexts hesitant or slow to share. Relatively little empirical research has engaged stakeholders in discussing the issue. This study sought to explore relevant experiences, contextual, and subjective explanations around the topic to provide a rich and detailed (...) presentation of what it means to different stakeholders and contexts to share data and how that can guide practice and ethical guidance. A qualitative design involving interviews was undertaken with professionals working in public health institutions endowed with data, ethics committees, and advisory agencies which help shape health research in Africa. A descriptive form of thematic analysis was used to summarize results into six key themes: The role of HDSSs in research using public health data and data-sharing; Ownership and funding are critical factors influencing data-sharing; Other factors discourage data-sharing; Promoting and sustaining data-sharing; Ethical guidance structures; and Establishing effective guidance. The themes reveal factors regarding the willingness or not to share and an intricate ethical system that current discourse could reflect. Many of the concerns resonate with the literature, but a whole other gamut of people and process issues; commitments, investments, careers, and the right ethical guidance are needed to realize a sustainable goal of reaching ‘share’ as a default. (shrink)

This thesis describes a method to control rare events in non-equilibrium systems by applying physical forces to those systems but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring to this specific structure as the "phenomenological structure for the large deviation principle", the author subsequently extends it to time-series statistics that (...) can be used to describe non-equilibrium physics. The book features pedagogical explanations and also shows many open problems to which the proposed method can be applied only to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics. (shrink)

In the past two decades, individual explanations of scientific misconduct have increasingly given way to systemic explanations. Where did this interest in systemic factors come from? Given that research ethicists often present their interventions as responses to scientific misconduct, this article tests the hypothesis that these systemic explanations were triggered by high-visibility cases of scientific norm violation. It does so by examining why Dutch scientists in 2011 explained Diederik Stapel’s grand-scale data fabrication largely in systemic terms, whereas (...) only fifteen years earlier, in the René Diekstra affair, such explanations had been close to absent. Drawing on a wealth of historical sources, the article suggests that cases like Stapel’s as such do not explain why early 21st-century commentators exchanged individual explanations for systemic ones. Only against the background of an existing discourse of criticism of the science system, developed in the 1990s and 2000s in response to rapidly increasing competition for research funding, could the Stapel affair achieve notoriety as an example of how systemic factors provoke bad conduct. (shrink)

Symmetry-based explanations using symmetry breaking as the key explanatory tool have complemented and replaced traditional causal explanations in various domains of physics. The process of spontaneous SB is now a mainstay of contemporary explanatory accounts of large chunks of condensed-matter physics, quantum field theory, nonlinear dynamics, cosmology, and other disciplines. A wide range of empirical research into various phenomena related to symmetries and SB across biological scales has accumulated as well. Led by these results, we identify and explain (...) some common features of the emergence, propagation, and cascading of SB-induced layers across the biosphere. These features are predicated on the thermodynamic openness and intrinsic functional incompleteness of the systems at stake and have not been systematically analyzed from a general philosophical and methodological perspective. We also consider possible continuity of SB across the physical and biological world and discuss the connection between Darwinism and SB-based analysis of the biosphere and its history. (shrink)

Examples involving infinite suspended chains or infinite trains are sometimes used to defend perceived weaknesses in traditional cosmological arguments. In this article, we distinguish two versions of the cosmological argument, suggest that such examples can only be relevant if it is one specific type of cosmological argument that is being considered, and then criticize the use of such examples in this particular type of cosmological argument. Our criticism revolves around a discussion of what it means to call a system (...) closed, and what it means to call an explanation complete. Our analysis makes no suppositions about the nature of the infinite, and is therefore independent of many of the issues around which contemporary discussions of the cosmological argument have tended to revolve. (shrink)

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling (...) model between these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett–Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method. (shrink)

Jaegwon Kim’s exclusion argument is a general ontological argument, applicable to any properties deemed supervenient on a microproperty basis, including biological properties. It implies that the causal power of any higher-level property must be reducible to the subset of the causal powers of its lower-level properties. Moreover, as Kim’s recent version of the argument indicates, a higher-level property can be causally efficient only to the extent of the efficiency of its micro-basis. In response, I argue that the ontology that aims (...) to capture experimentally based explanations of metabolic control systems and morphogenetic systems must involve causally relevant contextual properties. Such an ontology challenges the exclusiveness of micro-based causal efficiency that grounds Kim’s reductionism, since configurations themselves are inherently causally efficient constituents. I anticipate and respond to the reductionist’s objection that the nonreductionist ontology’s account of causes and inter-level causal relations is incoherent. I also argue that such an ontology is not open to Kim’s overdetermination objection. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 38.1 (2004) 12-22 [Access article in PDF] Art of a Child with Autism:Drawing Systems and Proto Mathematics Julia Kellman Sung, a five year old girl with autism, was enrolled by her mother in the university Saturday art program with the hope that Sung's favorite church school teacher, a graduate student in art education, would be able to tutor her daughter during the weekly classes. (...) Though hesitant because of her inexperience with autistic children and because of Sung's frequently angry tantrums on Sundays and the little girl's inability to speak, the young teacher, nonetheless, agreed to the plan. Her concerns proved unfounded, for Sung was able to work in the midst of the churning mass of noisy pre-K classmates without any signs of the fury that drove her to screaming, biting fits in church school. Additionally, and to everyone's delight, Sung's ability to develop as an image-maker was itself confirmed within the first few weeks of art class, dispelling any remaining doubts of her art aptitude or the value of art classes for the little girl.Additional questions and considerations arose about Sung and her art during the classes. How might one understand Sung's changing imagery? What might such explanations and images suggest about Sung herself and her activities? What might her art indicate about her similarity to other children and their art making? The possible answers to these and related queriespresented themselves during the semester, suggesting new avenues for inquiry surrounding both the wordless little girl and her Saturday morning creations.What follows is the story of Sung and her graphic development as it unfolded during the art class. Further, it is an attempt to uncover what Sung's drawings suggest about methods that are useful in the examination of the art of an autistic child. Documentation was carried out with a 35 mm. camera and color copier throughout the semester. Ethnographic methods including participant observation and interviews were employed to gather contextual data. Alfred Schutz's phenomenological sociology allowed for [End Page 12] consideration of nonverbal and verbal social interactions and behaviors. 1 A search of the literature of early mathematical development and drawing systems provided the underpinnings for early insights and later hypotheses. Here is Sung's story. Sung Sung, thick black hair swung forward to hide her face, lies prone in the middle of the busy classroom oblivious to the surging, chattering children around her, so intent is she on the sketchbook in which she draws. Next to her left elbow teeters a stack of a half dozen boxes of thick craypas from which she snatches colors, never looking at the hue she grabs. Her drawing behavior has a pattern; it looks like this. Shuffle through the identical boxes. Choose a box. Open it. Snatch out a bright waxy craypa. Hold it close to the eyes. Sniff it. Lick it. If the craypa passes muster, scribble with it in rich heavy lines — banana-like arcs, large solid dots the size of cherries, rectangular patches, and a variety of forms that come and go from one drawing to the next, like heat lightening on a summer evening. Her less frequent forms include: an enclosed yellow irregular shape with a dark dot in the middle suggesting a fried egg; a two-sided zig-zag; X forms; and solid and empty trapezoids made sail-like with superimposed crosses serving as mast and boom.Unlike the chosen craypas, however, those that do not pass Sung's inspection suffer a terrible fate; they are broken in two and their pieces tossed without ceremony to opposite sides of the room to be trodden into flat, bright smears by the other children in the class, pathetic traces of Sung's art. The craypas boxes themselves also play a role. For when they are closed they are used as blocks or toys, objects to be neatly stacked and restacked or placed side by side on the floor. When they are open, however, they are mere receptacles, passively holding... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 38.1 (2004) 12-22 [Access article in PDF] Art of a Child with Autism:Drawing Systems and Proto Mathematics Julia Kellman Sung, a five year old girl with autism, was enrolled by her mother in the university Saturday art program with the hope that Sung's favorite church school teacher, a graduate student in art education, would be able to tutor her daughter during the weekly classes. (...) Though hesitant because of her inexperience with autistic children and because of Sung's frequently angry tantrums on Sundays and the little girl's inability to speak, the young teacher, nonetheless, agreed to the plan. Her concerns proved unfounded, for Sung was able to work in the midst of the churning mass of noisy pre-K classmates without any signs of the fury that drove her to screaming, biting fits in church school. Additionally, and to everyone's delight, Sung's ability to develop as an image-maker was itself confirmed within the first few weeks of art class, dispelling any remaining doubts of her art aptitude or the value of art classes for the little girl.Additional questions and considerations arose about Sung and her art during the classes. How might one understand Sung's changing imagery? What might such explanations and images suggest about Sung herself and her activities? What might her art indicate about her similarity to other children and their art making? The possible answers to these and related queriespresented themselves during the semester, suggesting new avenues for inquiry surrounding both the wordless little girl and her Saturday morning creations.What follows is the story of Sung and her graphic development as it unfolded during the art class. Further, it is an attempt to uncover what Sung's drawings suggest about methods that are useful in the examination of the art of an autistic child. Documentation was carried out with a 35 mm. camera and color copier throughout the semester. Ethnographic methods including participant observation and interviews were employed to gather contextual data. Alfred Schutz's phenomenological sociology allowed for [End Page 12] consideration of nonverbal and verbal social interactions and behaviors. 1 A search of the literature of early mathematical development and drawing systems provided the underpinnings for early insights and later hypotheses. Here is Sung's story. Sung Sung, thick black hair swung forward to hide her face, lies prone in the middle of the busy classroom oblivious to the surging, chattering children around her, so intent is she on the sketchbook in which she draws. Next to her left elbow teeters a stack of a half dozen boxes of thick craypas from which she snatches colors, never looking at the hue she grabs. Her drawing behavior has a pattern; it looks like this. Shuffle through the identical boxes. Choose a box. Open it. Snatch out a bright waxy craypa. Hold it close to the eyes. Sniff it. Lick it. If the craypa passes muster, scribble with it in rich heavy lines — banana-like arcs, large solid dots the size of cherries, rectangular patches, and a variety of forms that come and go from one drawing to the next, like heat lightening on a summer evening. Her less frequent forms include: an enclosed yellow irregular shape with a dark dot in the middle suggesting a fried egg; a two-sided zig-zag; X forms; and solid and empty trapezoids made sail-like with superimposed crosses serving as mast and boom.Unlike the chosen craypas, however, those that do not pass Sung's inspection suffer a terrible fate; they are broken in two and their pieces tossed without ceremony to opposite sides of the room to be trodden into flat, bright smears by the other children in the class, pathetic traces of Sung's art. The craypas boxes themselves also play a role. For when they are closed they are used as blocks or toys, objects to be neatly stacked and restacked or placed side by side on the floor. When they are open, however, they are mere receptacles, passively holding... (shrink)

One of the epistemological results emerging from this initial study, is that the different forms of co-relational inference, known in the Islamic jurisprudence as qiyās represent an innovative and sophisticated form of reasoning that not only provide new epistemological insights of legal reasoning in general but they also furnish a fine-grained pattern for parallel reasoning that can be deployed in a wide range of problem-solving contexts and that does not seem to reduce to the standard forms of analogical argumentation studied (...) in contemporary philosophy of science. More specifically the main claim is that a dialectical framework provides the right instrument to stress two of the most salient features of this form of inference: (1) it's heuristic nature and (2) the dynamics underlying the meaning-explanation of the terms involved. Both display what we take to be the main epistemological idea behind the qiyās, namely: the open texture of the meaning of normative statements. To put it more generally, the notion of co-relational inference suggests that every form of parallel reasoning based on meaning presupposes that the concept of meaning involved is open to contextual changes. Moreover the latter indicates that the whole process deployed is intrinsically dialectic. (shrink)

This article attacks “open systems” arguments that because constant conjunctions are not generally observed in the real world of open systems we should be highly skeptical that universal laws exist. This work differs from other critiques of open system arguments against laws of nature by not focusing on laws themselves, but rather on the inference from open systems. We argue that open system arguments fail for two related reasons; 1) because they cannot account (...) for the “systems” central to their argument (nor the implied systems labeled “exogenous factors” in relation to the system of interest) and 2) they are nomocentric, fixated on laws while ignoring initial and antecedent conditions that are able to account for systems and exogenous factors within a fundamentalist framework. (shrink)

The purpose of this study is to examine how faith-led practices in family firms affect organizational stewardship. Current studies highlight the relevance of religious adherence for family businesses, yet provide limited understanding of how this shapes the key traits of these organizations. Drawing on six autobiographies of family business leaders who openly express their adherence to their faith, and adopting an open-systems analysis of these autobiographies, we demonstrate that faith-led values influence organizational and leadership practices. Overall, our study suggests (...) that the influence of religious beliefs in the organizational practices of family businesses have greater repercussions than previously thought. By introducing a faith-led approach to stewardship, we enrich the theoretical discussion around stewardship and the relevance of religion in family business. (shrink)

The purpose of this study is to examine how faith-led practices in family firms affect organizational stewardship. Current studies highlight the relevance of religious adherence for family businesses, yet provide limited understanding of how this shapes the key traits of these organizations. Drawing on six autobiographies of family business leaders who openly express their adherence to their faith, and adopting an open-systems analysis of these autobiographies, we demonstrate that faith-led values influence organizational and leadership practices. Overall, our study suggests (...) that the influence of religious beliefs in the organizational practices of family businesses have greater repercussions than previously thought. By introducing a faith-led approach to stewardship, we enrich the theoretical discussion around stewardship and the relevance of religion in family business. (shrink)

While Gödel's (first) incompleteness theorem has been used to refute the main contentions of Hilbert's program, it does not seem to have been generally used to stress that a basic ingredient of that program, the concept of formal system as a closed system - as well as the underlying view, embodied in the axiomatic method, that mathematical theories are deductions from first principles must be abandoned. Indeed the logical community has generally failed to learn Gödel's lesson that Hilbert's (...) concept of formal system as a closed system is inadequate and continues to use it as if there were no incompleteness theorem. In this paper I will stress the role of Gödel's incompleteness theorem in showing the inadequacy of such a concept of formal system and the need for a more articulated view of mathematical theories. More generally I will argue that Gödel's result entails that, as an alternative to mathematical logic, a new concept of logic is required: logic as the theory of communicating inference processes. (shrink)

Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's ability to (...) perform operations on a field in one spacetime region that can disentangle its state from the state of the field in other spacelike-separated regions. These limitations show just how deeply entrenched entanglement is in relativistic quantum field theory, and yield a fresh perspective on the ways in which the theory differs conceptually from both standard non-relativistic quantum theory and classical relativistic field theory. (shrink)

This book brings together philosophical approaches to cooperation and collective agency with research into human-machine interaction and cooperation from engineering, robotics, computer science and AI. Bringing these so far largely unrelated fields of study together leads to a better understanding of collective agency in natural and artificial systems and will help to improve the design and performance of hybrid systems involving human and artificial agents. Modeling collective agency with the help of computer simulations promises also philosophical insights into the emergence (...) of collective agency. The volume consists of four sections. The first section is dedicated to the concept of agency. The second section of the book turns to human-machine cooperation. The focus of the third section is the transition from cooperation to collective agency. The last section concerns the explanatory value of social simulations of collective agency in the broader framework of cultural evolution. (shrink)

International Studies in the Philosophy of Science, Volume 27, Issue 3, Page 273-293, September 2013.

We often give culture a narrow definition, confining it to the sum of works of art or of science, and to institutions such as universities, middle schools, primary schools, and museums, and to language, civilized behavior, and the social superstructure. Under the influence of cultural anthropology, we have already come to accept a broader concept of culture, and that is that culture is the sum of the activity of humankind in accordance with a certain intention to transform nature or the (...) things of nature. In this sense, agriculture, dance, physical drills , education, the processes of economic activity, and ancient traditions all would belong to the category of culture. In life, even activities such as eating and sleeping are no longer considered purely natural behavior because they are different from the eating or sleeping of animals; rather, they have been transformed by culture, their shapes and states have been changed. For example, the way in which the Chinese people eat is different from the way that Europeans, or Americans, eat. The emphasis of this new and broader definition of culture is no longer on things; culture is no longer defined in reference to objects such as the products of a museum or a scientific product, but to an activity, such as a dance performance, or some form of cultural heritage in an ancient or a modern society. We can therefore draw a conclusion that the term "culture" is no longer a noun, referring to some kind of substance, but is a verb, and points to a process. (shrink)

It is widely believed that mathematics carries a substantial part of the explanatory burden in science. However, mathematics can also play important heuristic roles of a different kind, being a source of new ideas and approaches, allowing us to build toy models, enhancing expressive power and providing fruitful conceptualizations. In this paper, we focus on the application of dynamical systems theory (DST) within the extended cognition (EC) field of cognitive science, considering this case study to be a good illustration of (...) a general phenomenon. In the paper, we justify both a negative and a positive claim. The negative claim is that dynamical systems theory hardly plays any explanatory role in EC research. We justify our claim by analyzing several accounts of the explanatory role of mathematics and stressing the way mathematical arguments are used in explanations. Our positive claim is that even though, for now, DST has no explanatory power in many of the EC approaches, it still plays an important heuristic role there. In particular, using mathematical notions improves the expressive power of the language and gives a sense of understanding of the phenomena under investigation. The case study of EC allows us to identify and analyze this important role of mathematics, which seems to be neglected in contemporary discussions. (shrink)