From nineteenth-century abolitionism to Black Lives Matter today, progressive social movements have been at the forefront of social change. Yet it is seldom recognized that such movements have not only engaged in political action but also posed crucial philosophical questions about the meaning of justice and about how the demands of justice can be met. -/- Michele Moody-Adams argues that anyone who is concerned with the theory or the practice of justice—or both—must ask what can be learned from social movements. (...) Drawing on a range of compelling examples, she explores what they have shown about the nature of justice as well as what it takes to create space for justice in the world. Moody-Adams considers progressive social movements as wellsprings of moral inquiry and as agents of social change, drawing out key philosophical and practical principles. Social justice demands humane regard for others, combining compassionate concern and robust respect. Successful movements have drawn on the transformative power of imagination, strengthening the motivation to pursue justice and to create the political institutions and social policies that can sustain it by inspiring political hope. -/- Making Space for Justice contends that the insights arising from social movements are critical to bridging the gap between discerning theory and effective practice—and should be transformative for political thought as well as for political activism. (shrink)

Henri Lefebvre has considerable claims to be the greatest living philosopher. His work spans some sixty years and includes original work on a diverse range of subjects, from dialectical materialism to architecture, urbanism and the experience of everyday life. The Production of Space is his major philosophical work and its translation has been long awaited by scholars in many different fields. The book is a search for a reconciliation between mental space and real space. In the course (...) of his exploration, Henri Lefebvre moves from metaphysical and ideological considerations of the meaning of space to its experience in the everyday life of home and city. He seeks, in other words, to bridge the gap between the realms of theory and practice, between the mental and the social, and between philosophy and reality. In doing so, he ranges through art, literature, architecture and economics, and further provides a powerful antidote to the sterile and obfuscatory methods and theories characteristic of much recent continental philosophy. This is a work of great vision and incisiveness. It is also characterized by its author's wit and by anecdote, as well as by a deftness of style which Donald Nicholson-Smith's sensitive translation precisely captures. (shrink)

Life, but not as we know it -- Still life in nearly present time -- Driving and the city -- Movement-space -- Afterwords -- From born to made -- Spatialities of feeling -- But malice aforethought -- Turbulent passions.

This paper investigates the significance of T-duality in string theory: the indistinguisha- bility with respect to all observables, of models attributing radically different radii to space – larger than the observable universe, or far smaller than the Planck length, say. Two interpretational branch points are identified and discussed. First, whether duals are physically equivalent or not: by considering a duality of the familiar simple harmonic oscillator, I argue that they are. Unlike the oscillator, there are no measurements ‘outside’ string (...) theory that could distinguish the duals. Second, whether duals agree or disagree on the radius of ‘target space’, the space in which strings evolve according to string theory. I argue for the latter position, because the alternative leaves it unknown what the radius is. Since duals are physically equivalent yet disagree on the radius of target space, it follows that the radius is indeterminate between them. Using an analysis of Brandenberger and Vafa (1989), I explain why – even so – space is observed to have a determinate, large radius. The conclusion is that observed, ‘phenomenal’ space is not target space, since a space cannot have both a determinate and indeterminate radius: instead phenomenal space must be a higher-level phenomenon, not fundamental. (shrink)

It is argued that Minkowski space-time cannot serve as the deep structure within a ``constructive'' version of the special theory of relativity, contrary to widespread opinion in the philosophical community.

INTRODUCTION The philosophy of action and the philosophy of space and time may well seem to be unconnected areas. I will argue that in each of these areas ...

This article investigates the specific cultural and collaborative nature of China’s public spaces and how they are formed through performative appropriations. Collective cultural practices as political participation were encouraged during the Mao era when cultural activities played a key role in workers’ education and participation. Since the opening-up period, performance in public space has become widespread in China and creates alternative community spaces that constitute alternatives to capitalist spaces of consumption. Using Habermas’s theory of communicative action, we argue that (...) cultural practices performed in public space create a proletariat public sphere that plays a wider role in governance and China’s democratization. Further, the article examines performative practices in public space. It traces the popular activity of public square dancing through history and counters this research with a parallel study of a much younger skateboarding practice. The two practices are very differently rooted. Yet both practices appear to move through cycles of disruption and appropriation, followed by an affirmation of governmental rule. The studies reveal that western ideas of citizenship and individual leisure are less applicable. Public spaces are largely managed through collaborative practices, whereas contemporary scholarship reaffirms Fei Xiaotong’s description of Chinese society as individuals positioned within a complex network of concentric circles. (shrink)

Maurice Blanchot, the eminent literary and cultural critic, has had a vast influence on contemporary French writers—among them Jean Paul Sartre and Jacques Derrida. From the 1930s through the present day, his writings have been shaping the international literary consciousness. The Space of Literature , first published in France in 1955, is central to the development of Blanchot's thought. In it he reflects on literature and the unique demand it makes upon our attention. Thus he explores the process of (...) reading as well as the nature of artistic creativity, all the while considering the relation of the literary work to time, to history, and to death. This book consists not so much in the application of a critical method or the demonstration of a theory of literature as in a patiently deliberate meditation upon the literary experience, informed most notably by studies of Mallarme;, Kafka, Rilke, and Hölderlin. Blanchot's discussions of those writers are among the finest in any language. (shrink)

How do engineers respond to ethical dilemmas that occur in practice? How do they view their individual and collective responsibilities? How do they make decisions before all the facts are in? Using the space shuttle programme as the framework, this book examines the role of ethical decision making in the practice of engineering. In particular, the book considers the design and development of the main engines of the space shuttle as a paradigm for how individual engineers perceive, articulate, (...) and resolve ethical dilemmas in a large, complex organisation. A series of in-depth case studies show engineers at work on various stages of the project as they balance budgets, deadlines and risks. By documenting the historical development of a single system, the book provides a unique opportunity to explore the complex interactions between political, organisational and technical pressures and engineering and management decisions. (shrink)

Many organisms possess multiple sensory systems, such as vision, hearing, touch, smell, and taste. The possession of multiple ways of sensing the world offers many benefits. However, combining information from different senses also poses many challenges for the nervous system. In recent years there has been dramatic progress in understanding how information from the different senses gets integrated in order to construct useful representations of external space. This volume brings together the leading researchers from a broad range of scientific (...) approaches to present the first overview of this central topic in cognitive neuroscience. (shrink)

This is a revised and updated edition of Graham Nerlich's classic book The Shape of Space. It develops a metaphysical account of space which treats it as a real and concrete entity. In particular, it shows that the shape of space plays a key explanatory role in space and spacetime theories. Arguing that geometrical explanation is very like causal explanation, Professor Nerlich prepares the ground for philosophical argument, and, using a number of novel examples, investigates how (...) different spaces would affect perception differently. This leads naturally to conventionalism as a non-realist metaphysics of space, an account which Professor Nerlich criticises, rejecting its Kantian and positivistic roots along with Reichenbach's famous claim that even the topology of space is conventional. He concludes that there is, in fact, no problem of underdetermination for this aspect of spacetime theories, and offers an extensive discussion of the relativity of motion. (shrink)

What if gravity satisfied the Klein-Gordon equation? Both particle physics from the 1920s-30s and the 1890s Neumann-Seeliger modification of Newtonian gravity with exponential decay suggest considering a "graviton mass term" for gravity, which is _algebraic_ in the potential. Unlike Nordström's "massless" theory, massive scalar gravity is strictly special relativistic in the sense of being invariant under the Poincaré group but not the 15-parameter Bateman-Cunningham conformal group. It therefore exhibits the whole of Minkowski space-time structure, albeit only indirectly concerning volumes. (...) Massive scalar gravity is plausible in terms of relativistic field theory, while violating most interesting versions of Einstein's principles of general covariance, general relativity, equivalence, and Mach. Geometry is a poor guide to understanding massive scalar gravity: matter sees a conformally flat metric due to universal coupling, but gravity also sees the rest of the flat metric in the mass term. What is the 'true' geometry, one might wonder, in line with Poincaré's modal conventionality argument? Infinitely many theories exhibit this bimetric 'geometry,' all with the total stress-energy's trace as source; thus geometry does not explain the field equations. The irrelevance of the Ehlers-Pirani-Schild construction to a critique of conventionalism becomes evident when multi-geometry theories are contemplated. Much as Seeliger envisaged, the smooth massless limit indicates underdetermination of theories by data between massless and massive scalar gravities---indeed an unconceived alternative. At least one version easily could have been developed before General Relativity; it then would have motivated thinking of Einstein's equations along the lines of Einstein's newly re-appreciated "physical strategy" and particle physics and would have suggested a rivalry from massive spin 2 variants of General Relativity. The Putnam-Grünbaum debate on conventionality is revisited with an emphasis on the broad modal scope of conventionalist views. Massive scalar gravity thus contributes to a historically plausible rational reconstruction of much of 20th-21st century space-time philosophy in the light of particle physics. An appendix reconsiders the Malament-Weatherall-Manchak conformal restriction of conventionality and constructs the 'universal force' influencing the causal structure. Subsequent works will discuss how massive gravity could have provided a template for a more Kant-friendly space-time theory that would have blocked Moritz Schlick's supposed refutation of synthetic _a priori_ knowledge, and how Einstein's false analogy between the Neumann-Seeliger-Einstein modification of Newtonian gravity and the cosmological constant \Lambda generated lasting confusion that obscured massive gravity as a conceptual possibility. (shrink)

In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question whether or (...) not space-time is discrete, I then turn to some possible empirical evidence, which we do not yet have. This evidence is based on some slight differences between commonly occurring differential equations and their discrete analogs. (shrink)

This article attempts to develop the abandoned occasionalist model of causation into a credible present-day theory. If objects can never exhaust one another through their relations, it is hard to know how they can ever interact at all. This article handles the problem by dividing objects into two kinds: the real objects that emerge from Heidegger’s tool-analysis and the intentional objects of Husserl’s phenomenology. Each of these objects turns out to be split by an additional rift between the object as (...) an enduring unit and its plurality of traits. This explains Heidegger’s notorious ‘fourfold’ model of the thing. This article shows that Heidegger’s Geviert must be reinterpreted as a system of four tensions that can be identified as time, space, essence, and eidos. Time and space can no longer be left as peerless dimensions of the cosmos. Instead, they are shown to arise from the tensions between things and their qualities. And for this reason they are joined by essence (in the classical sense of the term) and eidos (in Husserl’s sense, not Plato’s) as two out of four basic features of the fabric of the world. (shrink)

It is argued that Minkowski space-time cannot serve as the deep structure within a ``constructive'' version of the special theory of relativity, contrary to widespread opinion in the philosophical community.

In this paper I challenge the usual interpretations of Newton's and Leibniz's views on the nature of space and the relativity of motion. Newton's ‘relative space’ is not a reference frame; and Leibniz did not regard space as defined with respect to actual enduring bodies. Newton did not subscribe to the relativity of intertial motions; whereas Leibniz believed no body to be at rest, and Newton's absolute motion to be a useful fiction. A more accurate rendering of (...) the opposition between them, I argue, leads to a wholly different understanding of Leibniz's theory of space, one which is not susceptible to the objections Newton had raised against Descartes regarding the representation of motion. This in turn suggests a new approach for contemporary theory of space, one which neither hypostatizes space nor tries to reduce it to relations among actual things. * This work was generously supported by the National Endowment for the Humanities, with a Fellowship for College Teachers and Independent Scholars (FB-26897-89), and also by a sabbatical leave from my institution, Middlebury College. Iam very grateful to various members of faculty of York University for their appreciative reception of an earlier one-week-old version of this paper. ‘Relative Space in Newton and Leibniz’, read to the Department of Philosophy there in January 1990, and to Robert Rynasiewicz for criticisms of an extract read at the 1991 History of Science meeting. (shrink)

Textbooks present classical particle and field physics as theories of physical systems situated in Newtonian absolute space. This absolute space has an influence on the evolution of physical processes, and can therefore be seen as a physical system itself; it is substantival. It turns out to be possible, however, to interpret the classical theories in another way. According to this rival interpretation, spatiotemporal position is a property of physical systems, and there is no substantival spacetime. The traditional objection (...) that such a relationist view could not cope with the existence of inertial effects and other manifestations of the causal efficacy of spacetime can be answered successfully. According to the new point of view, the spacetime manifold of classical physics is a purely representational device. It represents possible locations of physical objects or events; but these locations are physical properties inherent in the physical objects or events themselves and having no existence independently of them. In relativistic quantum field theory the physical meaning of the spacetime manifold becomes even less tangible. Not only does the manifold lose its status as a substantival container, but also its function as a representation of spacetime properties possessed by physical systems becomes problematic. 'Space and time' become ordering parameters in the web of properties of physical systems. They seem to regain their traditional meaning only in the non-relativistic limit in which the classical particle concept becomes approximately applicable. (shrink)

Over a decade ago, I introduced a large-scale theory of the cognitive brain which explained for the first time how the human brain is able to create internal models of its intimate world and invent models of a wider universe. An essential part of the theoretical model is an organization of neuronal mechanisms which I have named the Retinoid Model (Trehub, 1977, 1991). This hypothesized brain system has structural and dynamic properties enabling it to register and appropriately integrate disparate foveal (...) stimuli into a perspectival, egocentric representation of an extended 3D world scene including a neuronally-tokened locus of the self which, in this theory, is the neuronal origin of retinoid space. As an integral part of the larger neuro-cognitive model, the retinoid system is able to perform many other useful perceptual and higher cognitive functions. In this paper, I draw on the hypothesized properties of this system to argue that neuronal activity within the retinoid structure constitutes the phenomenal content of consciousness and the unique sense of self that each of us experiences. -/- Trehub, A. (1977). Neuronal models for cognitive processes: Networks for learning, perception, and imagination. _Journal of Theoretical Biology_ 65: 141-169. -/- Trehub, A. (1991). _The Cognitive Brain_. MIT Press. -/- . (shrink)

이 논문의 목표는 『순수이성비판』제2판 「선험적 감성론」의 공간론과 통각의 종합적 통일의 관계를 규명하는 것이다. 논문의 내용은 다음 테제들의 정당화이다. 1. 「선험적 감성론」에서 전개된 공간론은 세 단계로 이루어진 하나의 논증이다. 첫 단계는 공간의 근원적 표상은 아프리오리한 순수 직관임(1)을 증명하고, 둘째 단계는 공간은 우리의 외감 일반의 형식 혹은 외적 직관의 형식임(2)을 증명하고, 셋째 단계는 공간은 사물 자체도 사물들 자체의 관계도 아니며 오직 외적 현상의 형식일 뿐임(3)을 증명한다. 이 공간론 전체 논증은‘(1)이다, 그러므로 (2)이다, 그러므로 (3)이다’라는 추론 형식의 증명 구조를 갖는다. 2. 공간론 전체 논증의 (...) 대전제인 (1)을 증명하는 첫 단계는 다시금 네 개의 논증으로 이루어져 있다. 이 중 첫째와 둘째 논증은 공간 표상의 아프리오리함을 대상 인식에서 공간 표상이 갖는 역할을 분석하여 증명하고, 셋째와 넷째 논증은 공간 표상의 직관임을 공간 자체의 본성을 분석하여 증명한다. 3. 이 셋째와 넷째 논증의 증명은 ‘공간은 유일하고 무한히 큰 전체로 표상됨’을 전제한다. 4. 이 전제는 최종적으로 통각의 종합적 통일에 근거해서만 가능하다. 왜냐하면 공간의 통일(유일성과 무한성)은 공간의 형식적 직관의 통일과 같은 것으로서 하나의 종합적 통일이고, 이 통일은 형상적 종합에 의해 가능하고, 이 종합은 다시금 통각의 종합적 통일에 따라서만 가능하기 때문이다. 5. 그러므로 통각의 종합적 통일은 공간론 전체 논증의 최종근거이다. 왜냐하면 공간론 논증 첫 단계의 네 가지 논증은 모두 다 유일하고 무한히 큰 전체로 표상(생각)된 공간을 다루기 때문이다. (shrink)

This paper outlines an Husserlian, phenomenological account of the first stages of the acquisition of empirical knowledge in light of some aspects of Wilfrid Sellars’ critique of the myth of the given. The account offered accords with Sellars’ in the view that epistemic status is attributed to empirical episodes holistically and within a broader normative context, but disagrees that such holism and normativity are accomplished only within the linguistic and conceptual confines of the space of reasons, and rejects the (...) limitation of the relevant normativity to the cognitive domain. Attention to the phenomenological notion of motivations in our mapping of the structure and acquisition of empirical knowledge reveals a form of weak categoriality given in experience, one outside exclusive mediation by language and concepts but also not merely causal. Section 1 outlines some basic aspects of Sellars’ account of empirical knowledge in Empiricism and the Philosophy of Mind, including a regress objection that arises due to his claim that empirical knowledge presupposes knowledge of general facts about perception. Section 2 examines Sellars’ later revisiting of the objection, via his critique of Roderick Firth, in “The Lever of Archimedes,” focusing on his analysis of the “Myth of the Categorial Given” and his use of the notion of ur-concepts. Section 3 looks at Sellars’ psychological nominalism and his rejection of the explanatory primacy of experience in light of the strict dichotomy between the space of causes and the space of reasons, and shows how Firth’s account aligns with phenomenology in its advocating for an irreducible and non-inferential role for experience. It also raises an important objection to Sellars’ account concerning the categorial givenness of causality. Section 4 turns to Husserl, arguing that his conception of motivation in the Logical Investigations and Ideas II reveals a third explanatory or logical space “between” that of causes and that of reasons. Section 5 further develops this account with regard to the explanatory role of lived experience. Section 6 revisits the regress objection to Sellars from the phenomenological standpoint developed earlier in the paper, and argues that an Husserlian account of empirical knowledge offers a viable alternative to Sellars’ that overcomes the regress objection and gives proper explanatory weight to the evidence of lived experience vis-à-vis scientific presuppositions about causality. (shrink)

Roderich Tumulka’s GRWf theory offers a simple, realist and relativistic solution to the measurement problem of quantum mechanics. It is achieved by the introduction of a stochastic dynamical collapse of the wavefunction. An issue with dynamical collapse theories is that they involve an amendment to the Schrodinger equation; amending the dynamics of such a tried and tested theory is seen by some as problematic. This paper proposes an alteration to GRWf that avoids the need to amend the Schrodinger equation via (...) what might be seen as a primary set of solutions to the Schrodinger equation that satisfy a normalisation condition over space and time. The traditional Born-normalised solutions are shown to be conditionalisations of these primary solutions. (shrink)

`It is a safe bet that Key Thinkers will emerge as something of a 'hit' within the undergraduate community and will rise to prominance as a 'must buy' -Environment and Planning `Key Thinkers on Space and Place is an engagingly written, well-researched and very accessible book. It will surely prove an invaluable tool for students, whom I would strongly encourage to purchase this edited collection as one of the best guides to recent geographical thought' -Claudio Minca, University of Newcastle (...) `Key Thinkers is the best encyclopedic tool for human geographers since the Dictionary of Human Geography. It takes into its orbit discussions of the lives and work of the last three decades' major thinkers on space and place. It is hugely useful for students who want an easy way to access the roots of where some major themes and debates in contemporary geography. It is organized so that each chapter details the scholar's biography, their contribution to spatial and place-based theory and the controversies that arise through their work' - Stuart Aitken, San Diego State University Key Thinkers on Space and Place is a comprehensive guide to the latest work on space. Each entry is a short interpretative essay of 2,500 words, outlining the contributions made by the key theorists, and comprises: · a concise biography, indicating disciplinary background, career trajectory and collaboration with others · an outline of the key theoretical, conceptual and methodological ideas each has introduced to human geography · an explanation of the reaction to, and uptake of, how these ideas has changed and evolved over time · an explanation of how these theories have been used and critiqued by human geographers · a selective bibliography of each thinker's key publications (and key secondary publications) The text is introduced by a contextual essay which outlines in general terms the shifting ways in which space and place have been theorised and which explains how Key Thinkers on Space and Place can be used. A glossary that defines key traditions, with cross-links to key theorists and a timeline of key article/book publication date is also included. (shrink)

Purpose. The article suggested for consideration is aimed at clarifying the shift in human perception from the spatial turn announced by Michel Foucault, to a performative turn. The performative turn has an anthropological footing. It is based on the all-round investigation of the body’s principal role for cultural existence, as a result of a reverse reaction to artificial conceptual gap between space and body, which basically means ignoring the embodiment theme. An example of such theoretical deformation was Edmund Husserl’s (...) “anthropology phobia” revealed and thoroughly analysed by Hans Blumenberg in his critical works. Originality of the approach applied in this research, first and foremost, demonstrates not an abstract phenomenological conception as a theoretical construct, but a phenomenological activity itself, as well as practical work expressing antepredicative experience and solving the problems arising in this complicated process. Applying the Blumenberg’s analysis also allows to peep in the sideline notes of Edmund Husserl himself, which, for their part, acquire special meaning in relation to such a practical (performative) turn. Conclusions show the following state of affairs demonstrated by the anthropological and performative shift towards the body theme: 1) absolutisation of space without mentioning its relation to body experience is unreasonable and groundless, like in Husserl’s “anthropology phobia ”; 2) since the ground itself is a metaphorical anthropology basis, anthropology can reveal the structural conditions of perception due to thematic fronting of embodiment; 3) this gives anthropology some compensational features, to avoid false culture and nature dualism; 4) so, the space and body relationship is expressed by the Vehikel-phenomenon (transport phenomenon) of the body itself, by placing, arranging and depicting, and thus replacing something missing and unavailable for direct contemplation, by revealing the spatial infrastructure for object perception, creating the presence conditions and metaphorically marking the contemplation boundary; 5) the depicting arrangement (Darstellung) is at the same time a bodily performance, a play, staging and performing, which gives an aesthetic, poetic and emphatic impact on the use of philosophy language, in our case, on the way a phenomenology philosopher works with the language. (shrink)

In the late nineteenth and early twentieth centuries the need to rethink the status of space and time which Kant considered to be a priori forms of sensibility was prompted by the emergence of new approaches to the methodology of scientific cognition. In neo-Kantian interpretation these cognitive forms acquire a special epistemological status, manifesting themselves in theoretical research as “pre-given” foundations of knowledge. It seems necessary to conduct a comparative analysis of two interconnected neo-Kantian concepts, of Hermann Cohen and (...) Ivan Lapshin. Studying Kant’s philosophy since his student days, Lapshin gradually came to the conclusion that the need to clarify and develop Kant’s transcendental method was dictated by the development of scientific knowledge. Indeed, the works of the Russian neo-Kantian contain echoes and polemical adjustments of Cohen’s spatio-temporal ideas. Our study has revealed common epistemological attitudes in Cohen and Lapshin: the wish to improve elements of Kantian philosophy, adjusting them to prove the possibility of scientific-theoretical cognition and of overcoming psychologism and developing the logicistic approach to the critique of cognition. Each of the two authors developed their own “mechanism” of reducing space and time to a range of intellectual procedures for the construction of the object of knowledge. In Cohen’s account space and time pre-establish the language of observation and found all scientific-theoretical work. Lapshin, on the other hand, in discussing the formal and substantive features of these categories (the introduction of “axioms” of time, the need to specify the concepts of time and space through other categories), notes that their use in scientific judgment implies an epistemological givenness of the concept of the object. This I see as a variant of solving one and the same epistemological task. I submit that Lapshin worked out an independent concept of space and time as cognitive forms that are congruent with the spirit of European neo-Kantianism and contemporary science. (shrink)

In this paper I will outline a unified information processing framework whose goal is to explain how the nervous system represents space, time and objects. In the remainder of this introductory section I will first be more specific about the sort of spatial, temporal, and object representation at issue, and then outline the structure of this paper.

Discutir a potencialidade imagem em movimento no ensino de Filosofia e a compreensão do filme como discurso significante, conjugando as experiências desenvolvidas em pesquisas e sala de aula. Apresentar também recortes de disciplina ministrada que utilizou textos filosóficos e episódio de StarTrek Deep Space Nine. O filme é entendido como texto fílmico, um objeto em cuja materialidade estão inscritos diferentes códigos da linguagem cinematográfica, e como documento informacional, que comporta diferentes níveis de informações que necessitam ser reconhecidas e trabalhadas, (...) a fim de que o uso pedagógico seja satisfatório. Assim, para além do entretenimento, o texto fílmico tem a possibilidade de ser usado como recurso pedagógico e de análise social. Observa-se como constitutivos do universo Trek os filmes realizados para o cinema e as séries televisivas. (shrink)

본 연구는 연속체로서 공간의 형이상학적 기초를 논의한다. 공간의 특징인 연장성(extension)과 가분성(divisibility)에 따라 세 가지 공간 구성 후보가 있다: 포인트, 겅크, 청크. 포인트는 연장되지 않고 나뉘지 않는 것이다. 겅크는 그 반대로 연장성을 가지며 무한하게 나누어진다. 청크는 더 이상 나누어지지 않으면서도 연장되는 특징을 갖는다. 이 중에서 논리적으로 일관되면서 이론적으로 부담이 적은 양 극단의 두 개념, 포인트와 겅크를 분석한다. 이를 분석하는 도구로 공간 구조 분석의 기초인 위상구조(topology), 미레올로지(mereology), 측도론(measure theory)의 개념들을 사용한다.BR 고대 그리스부터 포인트는 영역 크기를 결정할 수 없게 만든다고 비판 받았다. 포인트 (...) 기반 위상구조 때문일 때도 있고, 포인트 기반 측도론 때문일 때도 있다. 본고에서는 그 중에서 두 퍼즐, 접촉 퍼즐과 나누기 퍼즐을 다룬다. 크기에 대한 문제는 포인트 관점에만 발생하지 않는다. 본고에서는 칸토어 구간(Cantor Interval)이라는 무한히 나뉠 수 있는 겅크 구조에서 발생하는 측도론 문제를 분석한다.BR 이 퍼즐들을 해소하기 위해 두 가지 방식의 전략을 논의한다. 하나는 토폴로지 개념인 경계 개념을 수정하는 방법이다. 다른 하나는 측도론의 원리인 가법성(additivity) 개념을 수정하는 방법이다. 본고는 전자의 문제점을 지적하고 후자의 접근법에서 기존의 공간 직관에 새로운 함축을 찾는다. 특히 미레올로지 구성과 일치하는 가법성과 집합 크기에 대응하는 가법성 구분을 공간 퍼즐들의 교훈으로 발견한다. (shrink)

In the famous Correspondence with Clarke, which took place during the last year of Leibniz's life, Leibniz advanced several arguments purporting to refute the absolute theory of space and time that was held by Newton and his followers. The main aim of this book is to reassess Leibniz's attack on the Newtonian theory in so far as he relied on the principle of the identity of indiscernibles. The theological side of the controversy is not ignored but isolated and discussed (...) in the last three chapters, which deal with problems connected with the notions of omnipotence and omniscience. (shrink)

This book is a record of my dialogues with Stephen Hawking, his graduate assistants and his nurses during a four city public lecture tour I organized for Hawking, including Portland, Eugene, Seattle, Vancouver, BC. We discussed 20th century science and philosophy of science. Since I was often the one being questioned, much of the contents reflect my PhD research at the University of London. My focus was on understanding the limits of science, as represented by quantum theory and relativity. My (...) mentors had been Paul Feyerabend and Imre Lakatos, and I was strongly influenced by Karl Popper and Thomas Kuhn. In one in depth presentation to Hawking I suggested that Newtonian space-time and Maxwellian space-time were complementary, were defined by complementary symmetry principles. I had opportunity to present the same arguments to Kip Thorne and Freeman Dyson. Hawking simply remarked that I 'may be right'. Thorne confirmed that practitioners of General Relativity use both depending on the problem at hand. Dyson was emphatic – "Yes. Definitely. Absolutely.". (shrink)

Mature representations of number are built on a core system of numerical representation that connects to spatial representations in the form of a ‘mental number line’. The core number system is functional in early infancy, but little is known about the origins of the mapping of numbers onto space. Here we show that preverbal infants transfer the discrimination of an ordered series of numerosities to the discrimination of an ordered series of line lengths. Moreover, infants construct relationships between individual (...) numbers and line lengths that vary positively, but not between numbers and lengths that vary inversely. These findings provide evidence for an early developing predisposition to relate representations of numerical magnitude and spatial length. A central foundation of mathematics, science and technology therefore emerges prior to experience with language, symbol systems, or measurement devices. (shrink)

I was born in the middle of the manned Apollo moon missions and still remember where I was as a teenager viewing Space Shuttle Challenger exploding. I also grew up with interstellar war crimes on t...

New discoveries about materials and solar energy raise the possibility of a long-tenn shift of mining, refining, and manufacturing from Earth’s surface to locations outside Earth’s ecosphere, allowing Earth to begin to relax back toward its natural state. A little-discussed ambivalence toward the potential of space exploration exists among environmentalists. One camp sees it as a human adventure that may allow a bold initiative to improve Earth; another camp shies away from “heavy technology” and thus distrusts efforts as massive (...) as space exploration or utilization. Due to impending resource depletion on Earth, we may have only until the mid-twenty-first century to pursue the promising potential of space exploration to alleviate environmental problems of Earth. Subsequently, there may be too litde industlial base to support vigorous exploration and exploitation of resources in space. (shrink)

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring at space-like separated points, which do not have an absolute time ordering. Some consequences of this definition are discussed.

We present a formal derivation of the Mino–Sasaki–Tanaka–Quinn–Wald (MSTQW) equation describing the self-force on a (semi-) classical relativistic point mass moving under the influence of quantized linear metric perturbations on a curved background space–time. The curvature of the space–time implies that the dynamics of the particle and the field is history-dependent and as such requires a non-equilibrium formalism to ensure the consistent evolution of both particle and field, viz., the worldline influence functional and the closed- time-path (CTP) coarse-grained (...) effective action. In the spirit of effective field theory, we regularize the formally divergent self-force by smearing the local part of the retarded Green’s function and employing a quasi-local expansion. We derive the MSTQW–Langevin equations describing the perturbations of the particle’s worldline about its semi-classical trajectory resulting from interactions with the quantum fluctuations of the linear metric perturbations. Finally, we demonstrate that the quantum fluctuations of the field could, in principle, leave imprints on gravitational waveforms expected to be observed by gravitational interferometers, thereby encoding information about tree-level perturbative quantum gravity. (shrink)

This introduction to one of the liveliest and most popular fields in philosophy is written specifically for a beginning readership with no background in philosophy or science. Step-by-step analyses of the key arguments are provided and the philosophical heart of the issues is revealed without recourse to jargon, maths, or logical formulas. The book introduces Einstein's revolutionary ideas in a clear and simple way, along with the concepts and arguments of philosophers, both ancient and modern that have proved of lasting (...) value. Specifically, the theories of the ancient Greek philosophers, Zeno, Euclid and Parmenides are considered alongside the ideas of Newton, Leibniz and Kant as well as the giants of twentieth-century physics, Einstein and Lorentz. The problems at the heart of the philosophy of space and time, such as change, motion, infinity, shape, and inflation, are examined and the seismic impact made by relativity theory and quantum theory is assessed in the light of the latest research. The writing is lucid and entertaining, allowing a beginning readership to grasp some difficult concepts while offering the more experienced reader a succinct and illuminating presentation of the state of the debate. "Space, Time and Einstein" shows the reader the excitement of scientific discovery and the beauty of theory in the search for answers to these fundamental questions. (shrink)

The value of a negatively defined private space is defended as important for the development of personal autonomy. It is argued that negative liberty is problematic when split off from its connection with this ideal. An ethical interpretation of personal autonomy is proposed according to which a private space is one of autonomy's preconditions. This leads to a conceptualization of privacy that is fruitful in two respects: it permits an account of privacy laws that avoids certain pitfalls, and (...) it serves as a basis for criticizing privacy-related failures of autonomy together with the social forces that produce them. Negative liberty is, furthermore, rejected as an adequate basis for modern law and democracy. Here, too, an ethically defined personal autonomy, of which negative liberty is a precondition, is held to be the most convincing normative foundation. A critical reading of Habermas' cooriginality thesis is offered in support of this argument. Key Words: cooriginality thesis • Jürgen Habermas • Herbert Marcuse • negative liberty • personal autonomy • positive liberty • privacy • Martin Walser. (shrink)

The question of the dimensionality of space has informed the development of physics since the beginning of the twentieth century in the quest for a unified picture of quantum processes and gravitation. Scientists have worked within various approaches to explain why the universe appears to have a certain number of spatial dimensions. The question of why space has three dimensions has a genuinely philosophical nature that can be shaped as a problem of justifying a contingent necessity of the (...) world. In contrast to explanations of three-dimensionality based on anthropic arguments, we support the search for a theory that provides a justification for the dimensionality of space based on a combination of deductive and inductive reasoning applied to science. In doing so, we argue that Kant correctly approached the question in “Thoughts on the true estimation of living forces” by connecting space dimensionality and the inverse square law. In expounding the strategy of Kant’s argument, we describe the main features of a general Kantian explanation of the dimensionality of space and discuss them with respect to current accounts of explanation in the philosophy of science, such as inference to the best explanation and the deductive-nomological model. (shrink)