Kevin T. Kelly. Version Spaces, Structural Descriptions and NP-Completeness.

Restorativeness is defined as the potential of the environment to re-establish certain cognitive capacities related to human information processing. The most frequently used instrument for evaluating the restorativeness of places is the Perceived Restorativeness Scale, proposed by Hartig and colleagues (1991). Later on, shorter versions of the Perceived Restorativeness Scale were proposed. The aim of this work is to evaluate the discriminatory capacity of the original and of a shorter Spanish version of the PRS, considering urban settings previously selected (...) for having different level of restorativeness, according to expert’s criteria. The study involved 244 students and used a 3 x 2 mixed experimental design, with two independent variables: Restorativeness of a place (between-subjects), which was manipulated by showing pictures of settings selected with varying levels of restorativeness (high, medium, low), and length of the scale (within-subjects), which was manipulated by asking subjects to fill in both the original and a shorter version of the PRS. The order of presentation of the two scales was counterbalanced. Results show an appropriate reliability for both version of the scale. Items of being-away, fascination, and coherence of the shorter scale correlate more strongly with the corresponding factor of the original scale, compared to the others factors. Both scales produce similar values for the perceived restorativeness of the different places, except for places with low restorativeness. (shrink)

Branching space-time is a simple blend of relativity and indeterminism. Postulates and definitions rigorously describe the causal order relation between possible point events. The key postulate is a version of everything has a causal origin; key defined terms include history and choice point. Some elementary but helpful facts are proved. Application is made to the status of causal contemporaries of indeterministic events, to how splitting of histories happens, to indeterminism without choice, and to Einstein-Podolsky-Rosen distant correlations.

This chapter considers three substantivalist theories, namely, the theory of spatial qualities, spatial monism, and body‐space dualism, and two relationist theories, namely, Aristotelian relationism and modern relationism. Spatial Substantivalism comes in two forms, depending on whether places are properties or not. Assuming that places are properties amounts to the theory of spatial qualities; the alternative version of substantivalism is spatial particularism. Spatial particularism in turn comes in two forms, body‐space dualism and spatial monism. Spatial relationists also come (...) in two forms, Aristotelian and modern. modern relationists believe that the fundamental spatial relation is the distance between dimensionless point‐masses. Aristotelian Relationists take the fundamental spatial properties to be volume and shape, and the only fundamental spatial relation to be contiguity. A critical difference between spatial substantivalists and spatial relationists concerns their treatments of empty space. (shrink)

In his argument for the possibility of knowledge of spatial objects, in the Transcendental Deduction of the B-version of the Critique of Pure Reason, Kant makes a crucial distinction between space as “form of intuition” and space as “formal intuition.” The traditional interpretation regards the distinction between the two notions as reflecting a distinction between indeterminate space and determinations of space by the understanding, respectively. By contrast, a recent influential reading has argued that the two (...) notions can be fused into one and that space as such is first generated by the understanding through an act of synthesis of the imagination. Against this reading, this article argues that a key characteristic of space as a form of intuition is its nonconceptual unity, which defines the properties of space and is as such necessarily independent of determination by the understanding through the transcendental synthesis of the imagination. The conceptual unity that the understanding prescribes to the manifold in intuition, by means of the categories, defines the formal intuition. Furthermore, this article argues that it is the sui generis, nonconceptual unity of space, when takenas a unity for the understanding by means of conceptual determination, that first enables geometric knowledge and knowledge of spatially located particulars. (shrink)

Greenberger. Horne. Shimony, and Zeilinger gave a new version of the Bell theorem without using inequalities (probabilities). Mermin summarized it concisely; but Bohm and Hiley criticized Mermin's proof from contextualists' point of view. Using the branching space-time language, in this paper a proof will be given that is free of these difficulties. At the same time we will also clarify the limits of the validity of the theorem when it is taken as a proof that quantum mechanics is (...) not compatible with a deterministic world nor with a world that permits correlated space-related events without a common cause. (shrink)

PREFACE: - BY his theory of relativity Albert Einstein has provoked a revolution of thought in physical science. The achievement consists essentially in this Einstein has succeeded in separating far more completely than hitherto the share of the observer and the share of external nature in the things we see happen. The perception of an object by an observer depends on his own situation and circumstances for example, distance will make it appear smaller and dimmer. We make allowance for this (...) almost unconsciously in interpreting what we see. But it now appears that the allowance made for the motion of the observer has hitherto been too crude a fact overlooked because in practice all observers share nearly the same motion, that of the earth. Physical space and time are found to be closely bound up with this motion of the observer and only an amorphous combination of the two is left inherent in the external world. When space and time are relegated to their proper source the observer the world of nature which remains appears strangely unfamiliar but it is in reality simplified, and the underlying unity of the principal phenomena is now clearly revealed. The deductions from this new outlook have, with one doubtful exception, been confirmed when tested by experiment. It is my aim to give an account of this work without intro ducing anything very technical in the way of mathematics, physics, or philosophy. The new view of space and time, so opposed to our habits of thought, must in any case demand unusual mental exercise. The results appear strange and the incongruity is not without a humorous side. For the first nine chapters the task is one of interpreting a clear-cut theory, accepted in all its essentials by a large and growing school of physicists although perhaps not everyone would accept the authors views of its meaning. Chapters x and xi deal with very recent advances, with regard to which opinion is more fluid. As for the last chapter, containing the authors specula tions on the meaning of nature, since it touches on the rudiments of a philosophical system, it is perhaps too sanguine to hope that it can ever be other than controversial. A non-mathematical presentation has necessary limitations and the reader who wishes to learn how certain exact result follow from Einsteins, or even Newtons, law of gravitation m bound to seek the reasons in a mathematical treatise. But thj limitation of range is perhaps less serious than the limitation of intrinsic truth. There is a relativity of truth, as there is a relativity of space. For is and IS-NOT though with Rule and Line And UP-AND-DOWK without, I could define, Alas It is not so simple. We abstract from the phenomena that which is peculiar to the position and motion of the observer but can we abstract that which is peculiar to the limited imagina tion of the human brain We think we can, but only in the symbolism of mathematics. As the language of a poet rings with a truth that eludes the clumsy explanations of his commentators, so the geometry of relativity in its perfect harmony expresses a truth of form and type in nature, which my bowdlerised version misses. But the mind is not content to leave scientific Truth in a dry husk of mathematical symbols, and demands that it shall be alloyed with familiar images. The mathematician, who handles x so lightly, may fairly be asked to state, not indeed the in scrutable meaning of a in nature, but the meaning which x conveys to him. Although primarily designed for readers without technical knowledge of the subject, it is hoped that the book may also appeal to those who have gone into the subject more deeply. A few notes have been added in the Appendix mainly to bridge the gap between this and more mathematical treatises, and to indicate the points of contact between the argument in the text and the parallel analytical investigation. It is impossible adequately to express my debt to con temporary literature and discussion... (shrink)

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)

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.

This paper, which has both a historical and a polemical aspect, investigates the view, dominant throughout the eighteenth and nineteenth centuries, that the sense of sight is, originally, not phenomenally three-dimensional in character, and that we must come to interpret its properly two-dimensional data by reference to the sense of 'touch'. The principal argument for this claim, due to Berkeley, is examined and found wanting. The supposedly confirming findings concerning 'Molyneux subjects' are also investigated and are shown to be either (...) irrelevant or disconfirming. Recent investigations on infant and neonatal perception are discussed and are also found to be disconfirming. An innatist version of the theory is then considered and is shown to be undermined by the largely 'Gibsonian' character of early space-perception. Finally three recent arguments in favour of the theory - two from psychologists, one from a philosopher - are considered and answered. (shrink)

Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.

We study the class of Sperner spaces, a generalized version of affine spaces, as defined in the language of pointline incidence and line parallelity. We show that, although the class of Sperner spaces is a pseudo-elementary class, it is not elementary nor even ℒ∞ω-axiomatizable. We also axiomatize the first-order theory of this class.

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)

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)

ArgumentAt the turn of the twentieth century the Norwegian market flourished with milk products intended for infants. But medical doctors argued in favor of “going back to nature”: Women ought to breastfeed their children. This paper explores how a re-naturalization of mother's milk emerged within experimental medicine. The prescribed “natural way” did not develop within medicine alone. The paper demonstrates how the natural developed within a relational space of different versions of milk: the free-market milk, the dirty and decaying (...) milk, and the non-nutritional milk. But why did Norwegian mothers, in contrast to the development in for instance the US, continue to breastfeed their infants? Drawing on the work of the leading pediatrician Theodor Frølich, the paper suggests that this may in part be explained by the development of a distinct version of care: A matter-of-fact, pragmatic and flexible version of care that nevertheless came to enact mother's milk as the supreme form of nutrition to which there was hardly a competing or healthy alternative. “The natural way” became a thought style and was made integral to everyday culture. (shrink)

D. W. Winnicott is increasingly recognized as one of the most important psychoanalysts since Freud, but the relevance of his Independent version of object relations theory to psychoanalytic literary criticism has not been sufficiently appreciated. As Peter L. Rudnytsky notes, "There must be ten literary critics conversant with Lacan's ecrits for every one who has read Winnicott's Playing and Reality." Transitional Objects and Potential Spaces begins to redress this imbalance. The title and subtitle of this collection highlight three of (...) Winnicott's key concepts: transitional objects, potential space, and the use of an object. Because Winnicott is unique in respecting the integrity of art as an autonomous human activity while continuing to insist on its infantile origins, he may be said to offer the first adequate psychoanalytic account of aesthetics. This volume is organized into three sections: The Analytic Frame, Literary Objects, and Cultural Fields. Beginning with Winnicott's "The Location of Cultural Experience," it features essays by a distinguished group of contributors, including Marion Milner and two current leading members of the British Psycho-Analytical Society, Christopher Bollas and Patrick J. Casement, as well as such eminent critics as Richard Poirier, Murray M. Schwartz, Ellen Handler Spitz, and Madelon Sprengnether. Transitional Objects and Potential Spaces makes a timely and persuasive case for the power of Winnicott's ideas. In defining for the first time an independent tradition of psychoanalytic criticism, it will reorient future work in literary and cultural studies. (shrink)

Sociological theories of space have so far not provided an in-depth analysis of online spaces. The paper addresses this issue by means of Löw’s relational theory of space. As this theory mainly focuses on material spaces, it is necessary to embrace the phenomenological perspective in order to apply it to the virtual realm. More recent phenomenological research has highlighted the ongoing mediatization or virtualization of the life-world. These theories, and presence research more generally, are useful for examining the (...) layers of virtual presence. This paper focuses on two emblematic types of spaces: multiplayer online role-playing games and Skype video chats. The first represents an online version of a Schutzian finite province of meaning, while Skyping is an example of how the paramount reality of everyday life expands into the virtual realm. Albeit differently, actors in both cases constitute hybrid, virtual-material spaces with various forms and degrees of virtual presence. User experiences in these spaces are in line with contemporary sociological diagnoses indicating the vanishing experience of living in space and the general tendency of late modernity to question previous social forms of modernity. (shrink)

Is synaesthesia cognitively useful? Individuals with time–space synaesthesia experience time units as idiosyncratic spatial forms, and report that these forms aid them in mentally organising their time. In the present study, we hypothesised that time–space synaesthesia would facilitate performance on a time-related cognitive task. Synaesthetes were not specifically recruited for participation; instead, likelihood of time–space synaesthesia was assessed on a continuous scale based on participants’ responses during a semi-structured interview. Participants performed a month-manipulation task, which involved naming (...) every second month or every third month in reverse-chronological order, beginning and ending with a target month. Using hierarchical multiple regression, we found that time–space synaesthesia corresponded with faster performance on both versions of the task. We propose that time–space synaesthesia may expedite the cognitive manipulation of time-based information. Our results also indicate that synaesthesia is far less unusual than widely believed. (shrink)

The disciplinary enterprises engaged in the study of consciousness now extend beyond their original paradigms providing additional knowledge toward an overall understanding of the fundamental meaning and scope of consciousness. A new transdisciplinary domain has resulted from the syncretism of several approaches bringing about a new paradigm. The background for this overarching enterprise draws from a variety of traditions. In this paper however elaboration is restricted to the quantum-mechanical account in David Bohm’s theoretical work in relation to his ideas about (...) “active information”, “protointelligence”, and “non-locality”. This leads to an adapted version of Bohm’s thesis concerning the implicate order and explicate order of the Universe - the Impression Order and the Expression Order, respectively. On this view, the Universe is formed on an actual-material level, the apparent properties of things, and a potential-material level, a constant process of becoming that exerts an attractive force on the present. The central thesis emerges from a radical reformulation of certain core concepts that transforms many ontological assumptions about the material basis of consciousness. That is, the above platform inclusively connects to a hypothesis that the concepts of ‘space’, ‘time’, ‘event’, and ‘motion’ can be unified to capture the notion of simultaneous activity at reducing levels to the Impression order. This notion coheres with a physical-theoretical model of Signature-Energy-Frequency which has been well demonstrated in the atomic, chemical, and information fields. This study embraces a holistic and creative worldview based on a triadic model wherein consciousness itself is postulated as the most basic, primordial stratum. Importantly, both orders are constantly conjoined since the Impression Order exists as potential energy of the quantum vacuum. The physical realm is formed by the proposed Triangulate-Three conditions as a principle of animation and ‘being’: Consciousness, Body-of-Experience and Intellect-Reflective in the Expression Order, one aspect of which emerge as lifelike properties. This Triangulate-Three principle inheres in every particle and organism to which it guides its development, adaptation, and survival. The conscious being thus possesses all three conditions in Expression Order through STEM-interactions via SEF transmissions, as a self-organising organism. (shrink)

The logical theory of branching space-times, which is intended to provide a framework for studying objective indeterminism, remains at a certain distance from the discussion of space-time theories in the philosophy of physics. In a welcome attempt to clarify the connection, Earman has recently found fault with the branching approach and suggested ``pruning some branches from branching space-time''. The present note identifies the different---order theoretic vs. topological---points of view of both discussion as a reason for certain misunderstandings, (...) and tries to remove them. Most importantly, we give a novel, topological criterion of modal consistency that usefully generalizes the order-theoretic criterion of directedness, and we introduce a differential-geometrical version of BST based on the theory of non-Hausdorff manifolds. (shrink)

In the present version of these lecture notes only a number of typos and a few glaring mistakes have been corrected. Thanks to Paul Dekker for his help in this respect. No attempt has been been made to update the original text or to incorporate new insights and approaches. For a more recent overview, see our ‘Questions’ in the Handbook of Logic and Language (edited by Johan van Benthem and Alice ter Meulen, Elsevier, 1997).

This paper sets out a moderate version of metaphysical structural realism that stands in contrast to both the epistemic structural realism of Worrall and the—radical—ontic structural realism of French and Ladyman. According to moderate structural realism, objects and relations (structure) are on the same ontological footing, with the objects being characterized only by the relations in which they stand. We show how this position fares well as regards philosophical arguments, avoiding the objections against the other two versions of structural (...) realism. In particular, we set out how this position can be applied to space-time, providing for a convincing understanding of space-time points in the standard tensor formulation of general relativity as well as in the fibre bundle formulation. (shrink)

D. W. Winnicott is increasingly recognized as one of the most important psychoanalysts since Freud, but the relevance of his Independent version of object relations theory to psychoanalytic literary criticism has not been sufficiently appreciated. As Peter L. Rudnytsky notes, "There must be ten literary critics conversant with Lacan's ecrits for every one who has read Winnicott's Playing and Reality." Transitional Objects and Potential Spaces begins to redress this imbalance. The title and subtitle of this collection highlight three of (...) Winnicott's key concepts: transitional objects, potential space, and the use of an object. Because Winnicott is unique in respecting the integrity of art as an autonomous human activity while continuing to insist on its infantile origins, he may be said to offer the first adequate psychoanalytic account of aesthetics. This volume is organized into three sections: The Analytic Frame, Literary Objects, and Cultural Fields. Beginning with Winnicott's "The Location of Cultural Experience," it features essays by a distinguished group of contributors, including Marion Milner and two current leading members of the British Psycho-Analytical Society, Christopher Bollas and Patrick J. Casement, as well as such eminent critics as Richard Poirier, Murray M. Schwartz, Ellen Handler Spitz, and Madelon Sprengnether. Transitional Objects and Potential Spaces makes a timely and persuasive case for the power of Winnicott's ideas. In defining for the first time an independent tradition of psychoanalytic criticism, it will reorient future work in literary and cultural studies. (shrink)

ABSTRACTCurrent discourse about higher education focuses on issues like government funding, student debt, and admissions diversity; however, increasing attention is being paid to issues of speech and politics in the university. Alongside a series of events at several institutions, calls for ‘safe space’ on campus have grown familiar. Yet the appropriateness of such spaces on campus is debated. In this article the notion of safety implied in calls for ‘safe space’ is clarified, and three reasons are suggested for (...) supporting such safety pedagogically. A public reason is proposed, which relies on a normative interpretation of publicness as conjoint action. This substantive version of ‘public’ could be considered when assessing the institution’s publicness, rather than typical elements of the university’s nominal publicness. By embracing and ensuring safe space, universities could become sites of public full participation, thus fostering a re-recognition of higher education as a public good. (shrink)

We investigate the set theoretical strength of some properties of normality, including Urysohn's Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions of normal spaces, and normality of Fσ subsets of normal spaces.

This paper attempts to resolve the puzzle associated with the non-spatiality of monads by investigating the possibility that Leibniz employed a version of the extension of power doctrine, a Scholastic concept that explains the relationship between immaterial and material beings. As will be demonstrated, not only does the extension of power doctrine lead to a better understanding of Leibniz’ reasons for claiming that monads are non-spatial, but it also supports those interpretations of Leibniz’ metaphysics that accepts the real extension (...) of bodies. (shrink)

In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998) criticized by Imamura were never utilized since they were improved shortly after but he omits to tell their development, and that in real world applications we need to convert/approximate the NonStandard Analysis hyperreals, monads and binads to tiny intervals with the desired accuracy – otherwise (...) they would be inapplicable. We point out several errors and false statements by Imamura [21] with respect to the inf/sup of nonstandard subsets, also Imamura’s “rigorous definition of neutrosophic logic” is wrong and the same for his definition of nonstandard unit interval, and we prove that there is not a total order on the set of hyperreals (because of the newly introduced Neutrosophic Hyperreals that are indeterminate), whence the Transfer Principle from R to R* is questionable. After his criticism, several response publications on theoretical nonstandard neutrosophics followed in the period 2018-2022. As such, I extended the NonStandard Analysis by adding the left monad closed to the right, right monad closed to the left, pierced binad (we introduced in 1998), and unpierced binad - all these in order to close the newly extended nonstandard space (R*) under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations [23, 24]. Improved definitions of NonStandard Unit Interval and NonStandard Neutrosophic Logic, together with NonStandard Neutrosophic Operators are presented. (shrink)

In "The Epistemology of Geometry" Glymour proposed a necessary structural condition for the synonymy of two space-time theories. David Zaret has recently challenged this proposal, by arguing that Newtonian gravitational theory with a flat, non-dynamic connection (FNGT) is intuitively synonymous with versions of the theory using a curved dynamical connection (CNGT), even though these two theories fail to satisfy Glymour's proposed necessary condition for synonymy. Zaret allowed that if FNGT and CNGT were not equally well (bootstrap) tested by the (...) relevant phenomena, the two theories would in fact not be synonymous. He argued, however, that when electrodynamic phenomena are considered, the two theories are equally well tested. We show that it is not FNGT and CNGT which are equally well tested when the electrodynamic phenomena are considered, but only suitable extensions of FNGT and CNGT. Thus, there is good reason to consider FNGT and CNGT to be non-synonymous. We further show that the two extensions of FNGT and CNGT which are equally well tested when electrodynamic phenomena are considered (and which could be considered intuitively synonymous) not only satisfy Glymour's original proposed necessary condition for the synonymy of space-time theories, they satisfy a plausible stronger condition as well. (shrink)

Interpretations that follow Everett's idea that the universal wave function contains a multiplicity of coexisting realities, usually claim to give a completely local account of quantum mechanics. That is, they claim to give an account that avoids both a non-local collapse of the wave function, and the action at a distance needed in hidden variable theories in order to reproduce the quantum mechanical violation of the Bell inequalities. In this paper, I sketch how these claims can be substantiated in two (...) renderings of Everett's ideas, namely the many-minds interpretation of Albert and Loewer, and versions of many-worlds interpretations that rely on the concepts of the theory of decoherence. (shrink)

The articles in this volume present an important selection of Jao Tsung-i's research in the field of the early Chinese intellectual tradition, especially as concerns the question of the conditio humana. Whether his focus is on myth, religion, philosophy or morals, Jao constantly aims at describing the Chinese version of a series of developments that are broadly associated with the Axial Age in the study of the ancient world in general. He is particularly interested in showing how early China (...) had developed its own notion of transcendence as well as a system of prediction and morals that allowed man to act on his own account, without having to rely on divine providence. (shrink)

One's contemporaneous conscious mental states seem bound in a single, unified experience. Dainton argues, against what he calls the S-Thesis, that we cannot explain such co-consciousness in terms of states' being located in a single phenomenal space, a functional space posited to explain our ability to locate ourselves relative to perceived stimuli. But Dainton's argument rests on a conflation of egocentric and allocentric self-localizing, and thus fails to undermine the S-Thesis. Nevertheless, experiments on visual neglect suggest one can (...) have unconscious mental states that are located in the same phenomenal field, so the S-Thesis fails after all. I examine a modified version of the S-Thesis according to which mental states are co-conscious when one is aware of them via a higher-order sensation that represents them as located in the same phenomenal field. But among other problems, this view fails to explain the co-consciousness of intentional states, which aren't located in phenomenal fields. Finally, I argue that a higher-order-thought model of consciousness best explains the apparent unity of experience in terms of one's tacit assumption that all the first-person thoughts in virtue of which one is conscious of one's mental states refer to the same individual. (shrink)

This is a revised and shortened version of ‘Relational Space and Places of Value’, Logical Analysis and History of Philosophy, 14 (2011), 89-106.

This article turns towards the spatial life of ‘digital infrastructures’, i.e. code, protocols, standards, and data formats that are hidden from view in everyday applications of computational technologies. It does so by drawing on the version control system Git as a case study, and telling the story of its initial development in order to reconstruct the circumstances and technical considerations surrounding its conception. This account engages with computational infrastructures on their own terms by adopting the figure of the ‘stack’ (...) to frame a technically informed analysis, and exploring its implications for a different kind of geographic inquiry. Drawing on topology as employed by Law and Mol, attention is given to the multiplicity of spatialities and temporalities enrolled in digital infrastructures in general, and Git specifically. Along the lines of the case study and by reading it against other literatures, this notion of topology is expanded to include the material performation of fundamentally arbitrary, more-than-human topologies, as well as their nested articulation, translation and negotiation within digital infrastructures. (shrink)

This paper adopts a comparative approach in order to appreciate the distinct contributions of Arne Nass and Felix Guattari to ecosophy and their respective connections to semiotics. The foundational holistic worldview and dynamics ecosophy propounds show numerous connections with semiotics. The primary objective of this paper is to question the nature and value of these connections. Historically, the development of ecosophy was always faced with modelling and communication issues, which constitute an obvious common ground shared with semiotics. As a means (...) to an end, ecosophy settled to develop a thoughtful axiology based on ecological wisdom and promote it bottom-up. Political activism notwithstanding, semiotics also deals with value: sign value and meaning. In this respect, semiotics is inherently axiological, but most often this dimension is effaced or muted. Emphasizing the axiological dimension of semiotics helps understand how dominant significations, habits, and values are established, and enlighten the crucial part it could play in the humanities and beyond by partly coalescing with ecosophy. As the complementarity of both traditions is appreciated, the plausibility of a merger is assessed. Arguably, ecosophy is axiomatized semiotics. From this novel perspective, one can see human communities as dynamically partaking in signifying processes, in a space that is at once an ecosphere, a semiosphere, and a vast political territory. As there is growing evidence that environmental degradation lessens our quality of life and the sustainability of our communities, ecosophy might help reform values and practices. (shrink)

Some recently popular accounts of perception account for the phenomenal character of perceptual experience in terms of the qualities of objects. My concern in this paper is with naturalistic versions of such a phenomenal externalist view. Focusing on visual spatial perception, I argue that naturalistic phenomenal externalism conflicts with a number of scientific facts about the geometrical characteristics of visual spatial experience.

This paper considers the argument that we have a duty to colonise other planets because we owe it to future generations. It puts forward the view that formulations of this argument in the current literature are confused. It distinguishes (at least) four versions of the argument and shows that none of them are compelling. It draws the conclusion that, should people put forward these arguments, they ought to be more precise in their formulations and more rigorous in their defence.

In the fifth version of our reply article [26] to Imamura's critique, we recall that Neutrosophic Non-Standard Logic was never used by the neutrosophic community in any application, that the quarter-century old (1995-1998) neutrosophic operators criticized by Imamura were never used as they were improved soon after, but omits to talk about their development, and that in real-world applications we need to convert/approximate the hyperreals, monads and bi-nads of Non-Standard Analysis to tiny intervals with the desired precision; otherwise they (...) would be inapplicable. We pointed out several errors and false statements by Imamura [21] regarding the inf/sup of nonstandard subsets, also Imamura's "rigorous definition of neutrosophic logic" is incorrect, as is his definition of nonstandard unit interval, and we showed that there is no total order in Neutrosophic Computing and Machine Learning , Vol. 23, 2022 Florentin Smarandache, Definición mejorada de la lógica neutrosófica no estándar e introducción a los hiperreales neutrosóficos (Quinta versión) 2 the set of hyperreals (due to the recently introduced Neutrosophic Hyperreals which are indeterminate), so the Transfer Principle from R to R* is questionable. After his critique, several reply posts on non-standard theoretical neutrosophy followed in 2018-2022. As such, I extended the Nonstandard Analysis by adding the right-closed left monad, the left-closed right monad, the punctured binad (which we introduced in 1998), and the nonpunctured binad - all in order to close the newly extended nonstandard space (R*) under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations [23, 24]. Improved definitions of the Nonstandard Unitary Interval and Nonstandard Neutrosophic Logic are presented, along with Nonstandard Neutrosophic Operators. (shrink)

In The Varieties of Reference, Gareth Evans argues that the content of perceptual experience is nonconceptual, in a sense I shall explain momentarily. More recently, in his book Mind and World, John McDowell has argued that the reasons Evans gives for this claim are not compelling and, moreover, that Evans’s view is a version of “the Myth of the Given”: More precisely, Evans’s view is alleged to suffer from the same sorts of problems that plague sense-datum theories of perception. (...) In particular, McDowell argues that perceptual experience must be within “the space of reasons,” that perception must be able to give us reasons for, that is, to justify, our beliefs about the world: And, according to him, no state that does not have conceptual content can be a reason for a belief. Now, there are many ways in which Evans’s basic idea, that perceptual content is nonconceptual, might be developed; some of these, I shall argue, would be vulnerable to the objections McDowell brings against him. But I shall also argue that there is a way of developing it that is not vulnerable to these objections. (shrink)

In the correspondence with Clarke, Leibniz proposes to construe physical theory in terms of physical (spatio-temporal) relations between physical objects, thus avoiding incorporation of infinite totalities of abstract entities (such as Newtonian space) in physical ontology. It has generally been felt that this proposal cannot be carried out. I demonstrate an equivalence between formulations postulating space-time as an infinite totality and formulations allowing only possible spatio-temporal relations of physical (point-) objects. The resulting rigorous formulations of physical theory may (...) be seen to follow Leibniz' suggestion quite closely. On the other hand, physical assumptions implicit in the postulation of space-time totalities are made explicit in the reconstruction of the space-time versions from the physical-relation versions. (shrink)

Given a program of a linear bounded and bijective operator T, does there exist a program for the inverse operator T−1? And if this is the case, does there exist a general algorithm to transfer a program of T into a program of T−1? This is the inversion problem for computable linear operators on Banach spaces in its non-uniform and uniform formulation, respectively. We study this problem from the point of view of computable analysis which is the Turing machine based (...) theory of computability on Euclidean space and other topological spaces. Using a computable version of Banach’s Inverse Mapping Theorem we can answer the first question positively. Hence, the non-uniform version of the inversion problem is solvable, while a topological argument shows that the uniform version is not. Thus, we are in the striking situation that any computable linear operator has a computable inverse while there exists no general algorithmic procedure to transfer a program of the operator into a program of its inverse. As a consequence, the computable version of Banach’s Inverse Mapping Theorem is a powerful tool which can be used to produce highly non-constructive existence proofs of algorithms. We apply this method to prove that a certain initial value problem admits a computable solution. As a preparation of Banach’s Inverse Mapping Theorem we also study the Open Mapping Theorem and we show that the uniform versions of both theorems are limit computable, which means that they are effectively -measurable with respect to the effective Borel hierarchy. (shrink)

I introduce and compare Russian and Japanese notions of community and space. Some characteristic strains of thought that exist in both countries had similar points of departure, overcame similar problems and arrived at similar results. In general, in Japan and Russia, the nostalgia for the community has been strong because one felt that in society through modernization something of the particularity of one's culture had been lost. As a consequence, both in Japan and in Russia allusions to the German (...) sociologist Ferdinand Tönnies' book Gemeinschaft und Gesellschaft are frequent. In the end I associate the Japanese as well as the Russian ideas with neo-Darwinian versions of the theme of evolution as it has been developed by Henri Bergson, Gilles Deleuze, and Felix Guattari. (shrink)

Theories of face-to-face interaction employ a concept of spatial presence and view communication via digital technologies as an inferior version of interaction, often with pathological implications. Current studies of mediatized communication challenge this notion with empirical evidence of “telepresence”, suggesting that users of such technologies experience their interactions as immediate. We argue that the phenomenological concepts of the lived body and mediated immediacy (Helmuth Plessner) combined with the concept of embodied space (Hermann Schmitz) can help overcome the pathologizing (...) of digital communication in social theory and enable descriptions which are truer to the experience of using said technology. From this perspective it appears as an ethnocentric premise to restrict interaction to human actors being present in local space. This restricted understanding of interaction does not allow for an appropriate empirical analysis of the emerging structures of digital communication. (shrink)

There is fast-growing awareness of the role atmospheres play in architecture. Of equal interest to contemporary architectural practice as it is to aesthetic theory, this 'atmospheric turn' owes much to the work of the German philosopher Gernot Böhme. Atmospheric Architectures: The Aesthetics of Felt Spaces brings together Böhme's most seminal writings on the subject, through chapters selected from his classic books and articles, many of which have hitherto only been available in German. This is the only translated version authorised (...) by Böhme himself, and is the first coherent collection deploying a consistent terminology. It is a work which will provide rich references and a theoretical framework for ongoing discussions about atmospheres and their relations to architectural and urban spaces. Combining philosophy with architecture, design, landscape design, scenography, music, art criticism, and visual arts, the essays together provide a key to the concepts that motivate the work of some of the best contemporary architects, artists, and theorists: from Peter Zumthor, Herzog & de Meuron and Juhani Pallasmaa to Olafur Eliasson and James Turrell. With a foreword by Professor Mark Dorrian and an afterword by Professor David Leatherbarrow,, the volume also includes a general introduction to the topic, including coverage of it history, development, areas of application and conceptual apparatus. (shrink)

Published in 1973, Arthur C. Clarke’s Rendezvous with Rama won the Hugo, Nebula, and John W. Campbell Awards . Its im- pressive collection of awards, outstanding commercial success, and intrinsic interest make it one of the few truly iconic works of hard science fiction. It depicts the work of astronauts in space, and shows an obvious concern for scientific accuracy and logic. In all, Rendezvous with Rama seems like an unlikely candidate for a utopian novel, and that expression would, (...) indeed, misdescribe it. Yet, it contains strong mythic, satirical, and utopian elements, which give it much of its interest. Alas, many of those elements are discarded in the trilogy of novels that appeared much later as an extended sequel to the novel’s action. (shrink)

We give a partial answer to an important open problem in descriptive set theory, the Decomposability Conjecture for Borel functions on an analytic subset of a Polish space to a separable metrizable space. Our techniques employ deep results from effective descriptive set theory and recursion theory. In fact it is essential to extend several prominent results in recursion theory (e.g. the Shore-Slaman Join Theorem) to the setting of Polish spaces. As a by-product we give both positive and negative (...) results on the Martin Conjecture on the degree preserving Borel functions between Polish spaces. Additionally we prove results about the transfinite version as well as the computable version of the Decomposability Conjecture. (shrink)

Several difficulties, concerning the individuation and the variation of tropes, beset the initial classic version of trope theory. K. Campbell (Abstract particulars, Oxford, Basil Blackwell, 1990) presented a modified version that aims to avoid those difficulties. Unfortunately, the revised theory cannot make the case that one of the fundamental tropes, space-time, is a genuine particular.