What is it for an object to be a physical object? Here I provisionally take up the idea that spatial extension is at least a necessary condition for being a physical object, whether or not it is also sufficient. I then argue for the following conditional proposition: if spatial extension is a necessary condition for being a physical object, then metaphysical naturalism is false. Given that all religious systems affirm the falsity of metaphysical naturalism, this conditional (...) carries obvious significance for philosophy of religion. And if it holds, two possible consequences ensue: for those committed to the idea that spatial extension is a necessary condition for being a physical object, a new disproof of metaphysical naturalism results. By contrast, for those committed to metaphysical naturalism, a new disproof of any extension-based account of the physical results. Either way, we obtain a significant conclusion. (shrink)

A critical re-examination of the history of the concepts of space (including spacetime of general relativity and relativistic quantum field theory) reveals a basic ontological elusiveness of spatial extension, while, at the same time, highlighting the fact that its epistemic primacy seems to be unavoidably imposed on us (as stated by A.Einstein “giving up the extensional continuum … is like to breathe in airless space”). On the other hand, Planck’s discovery of the atomization of action leads to the (...) fundamental recognition of an ontology of non-spatial, abstract entities (Quine) for the quantum level of reality (QT), as distinguished from the necessarily spatio-temporal, experimental revelations (measurements). The elementary quantum act (measured by Planck’s constant) has neither duration nor extension, and any genuinely quantum process literally does not belong in the Raum and time of our experience. As Heisenberg stresses: “Während also die klassische Physik ein objectives Geschehen in Raum and Zeit zum Gegenstand hat, für dessen Existenz seine Beobachtung völlig irrelevant war, behandelt die Quantentheorie Vorgänge, die sozusagen nur in den Momenten der Beobachtung als raumzeitliche Phänomene aufleuchten, und über die in der zwischenzeit anschaulische physikalische Aussagen sinloss sind”. An admittedly speculative, hazardous conjecture is then advanced concerning the relation of such quantum ontology with the role of the pre-phenomenal continuum (Husserl) in the perception of macroscopically distinguishable objects in the Raum and time of our experience. Although rather venturesome, it brings together important philosophical issues. Coherently with recent general results in works on the foundations of QT, it is assumed that the linearity of quantum dynamical evolution does not apply to the central nervous system of living beings at a certain level of the evolutionary ramification and at the pre-conscious stage of subjectivity. Accordingly, corresponding to the onset of a non-linear dynamic evolution, a ‘primary spatial’ reduction is ‘continually’ taking place, thereby constituting the neural precondition for the experience of distinguishable macroscopic objects in the continuous spatial extension. While preventing the theoretically possible quantum superpositions of macroscopic objects from being perceivable by living beings, the ‘primary reduction’ has no effect on the standard processes concerning quantum level entities involved in laboratory man-made experiments. In this connection, an experimental check which might falsify the conjecture is briefly discussed. The approach suggested here, if sound, leads to a naturalization of that part of Kant’s Transcendental Aesthetics than can survive the Euclidean catastrophe. According to such naturalized transcendentalism, “space can well be transcendental without the axioms being so”, in agreement with a well-known statement by Boltzman. Finally, as far as QT is concerned, the conjecture entails that a scheme for quantum measurement of the von Neumann type cannot even ‘leave the ground’, vindicating Bohr’s viewpoint. A quantum theory of measurement, in a proper sense, turns out to be unnecessary and in fact impossible. (shrink)

Practice, Spatiality and Embodied Emotions: An Outline of a Geography of Practice The paper outlines an approach to social analysis/human geography taking off from a social ontology of practice. This means a focus of attention to embodied or practical knowledges and their formation in people's everyday lives, to the world of experiences and emotions, and to the infinitude of encounters through which we make the world and are made by it in turn. The paper proceeds in three parts. First, considering (...) the way in which subjectivity and identity are created in and through practices sets the ground. The two following sections are extensions from that discussing "embodiment and spatiality" and "affectivity and emotion" respectively. The purpose is threefold; to develop the sensuous character of practice, to consider the spatialities involved in that character, and to discuss possible developments including power and the social differentiation of bodies. The paper is concluded by a short discussion of the geographies following from the suggested account. (shrink)

Recent advances in spatially resolved transcriptomics have greatly expanded the knowledge of complex multicellular biological systems. The field has quickly expanded in recent years, and several new technologies have been developed that all aim to combine gene expression data with spatial information. The vast array of methodologies displays fundamental differences in their approach to obtain this information, and thus, demonstrate method‐specific advantages and shortcomings. While the field is moving forward at a rapid pace, there are still multiple challenges presented (...) to be addressed, including sensitivity, labor extensiveness, tissue‐type dependence, and limited capacity to obtain detailed single‐cell information. No single method can currently address all these key parameters. In this review, available spatial transcriptomics methods are described and their applications as well as their strengths and weaknesses are discussed. Future developments are explored and where the field is heading to is deliberated upon. (shrink)

A spatial modal logic is introduced as an extension of the modal logic S4 with the addition of certain spatial operators. A sound and complete Kripke semantics with a natural space interpretation is obtained for SML. The finite model property with respect to the semantics for SML and the cut-elimination theorem for a modified subsystem of SML are also presented.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Spatializing Culture: The Ethnography of Space and Place by Setha LowCarlos J. L. BalsasSpatializing Culture: The Ethnography of Space and Placeby setha low London: Routledge, 2017Spatializing Culture: The Ethnography of Space and Place adds clarity to our understanding of the value of ethnographic scholarship in the study of socio-economic, cultural, and developmental transformations. The book is a thorough review of two established conceptual frames of analysis—the social production (...) of space and the social construction of space—coupled with an in-depth discussion of four newer ways to make sense of the world around us: embodied space, language and discourse, emotion and affect, and translocal space. As the world is transformed by a myriad of forces and events occurring simultaneously, its complexity intensifies insurmountably and we require clear and robust concepts, theories, methods, and tools to not only interpret it, but above all to attempt to change it in ways that are more beneficial to our collective co-existence while enabling the flourishing of those most at risk.Readers of Spatializing Culture will find plentiful theoretical constructs, lineages, diverse viewpoints, examples, and overall opportunities for reflecting on how the (built) environment, spaces, and places have been changing mostly due to our behavior. Inspired by Foucault’s take on genealogy, in chapter 2, Setha Low traces the history of space and place according to distinct interpretative schools of thought ranging from philosophical and mathematical, French social theory, geographical, architectural, environmental psychology, to anthropological, and even archeological. Five Venn diagrams are utilized to illustrate the main conceptual relationships between space and place. Most of the book’s in-depth case studies were researched by the author with only a small number investigated and written up by fellow scholars, which Low utilizes in the book with gratitude. The interrelated thematic and distinct geographical scope of the cases is one of the book’s hallmarks. The illustrative case studies come from such faraway places as Latin America (San José, Costa Rica), Asia (Taipei, Taiwan), North America (New York City; Washington, D.C.; Philadelphia, Pennsylvania; and San [End Page 151] Antonio, Texas), Southern Europe (Smederevska Palanka, Serbia), and the Middle East (Beirut, Lebanon; Cairo, Egypt; and Tel Aviv, Israel).Spatializing Culture was first mentioned to me years ago by a former colleague at the University at Albany, SUNY. His ongoing work in Latin America, coupled with his ethnographic training and prior work in a region of the world also extensively examined by Low in other scholarly works, was likely the reason for bringing it up in a conversation about the latest developments in the field and potential research opportunities. I acquired the book when I was teaching Global Urbanism and Culture and International Urban Planning. I was pleasantly surprised with the book’s thorough conceptual lineage, historic characterizations, attention to detail, comprehensive ethnographic investigations, and implications for transforming reality as well as institutional processes. Spatializing Culture is a welcome addition to urban planning textbooks, which tend to be relatively less critical, are often covered with normative constructs and statistics, and are more institutional in their characterization of problems and recommendations for further action.For the most part, the ethnographic method is qualitative, participa-tory, detailed, and quite comprehensive in characterizing key variables as the researcher found them on the ground. This differs slightly from urban planning’s preoccupation with public policy, policy analysis, rules and regulations, institutionalized procedures, the public good, and overall positivist and rationalist concerns with documenting reality and helping to lead transformative planning processes, whether in the realm of land use, transportation, housing, economic development, infrastructure, or the environment. Although International Urban Planning was to be taught in a rather orthodox manner with recourse to understanding planning cultures, best practices, lessons learned, and implications for similar situations, the Global Urbanism and Culture course was slightly more aligned with the discussions put forward by Low. These included attention to postmodern ideals, the use of creativity in community planning, distinctions between popular and highbrow culture, and the building of iconic structures in contexts of urban regeneration and mega-event planning. As such, my students were somewhat already exposed to issues of embodied spaces and to ideas of... (shrink)

This study has two goals. First, we present much‐needed empirical linguistic data and systematic analyses on the spatial semantic systems in English and Korean, two languages that have been extensively compared to date in the debate on spatial language and spatial cognition. We conduct our linguistic investigation comprehensively, encompassing the domains of tight‐ and loose‐fit as well as containment and support relations. The current analysis reveals both cross‐linguistic commonalities and differences: From a common set of spatial (...) features, each language highlights a subset of those features for its principal categorization, and those primary features are importantly different between English and Korean: English speakers categorize events predominantly by containment and support relations (and do so with prepositions), whereas Korean speakers categorize them by tight‐fit and loose‐fit relations (and do so with verbs), with a further distinction of containment and support within the loose‐fit relation. The analysis also shows that the tight‐fit domain is more cross‐linguistically diverse in categorization than is the loose‐fit domain. Second, we test the language data against the nonlinguistic categorization results reported in Choi and Hattrup (2012). The results show a remarkable degree of convergence between the patterns predicted from the current linguistic analysis and those found in C&H's nonlinguistic study and thus provide empirical and strong evidence for an influence of language on nonlinguistic spatial cognition. At the same time, the study reveals areas where the two systems closely interact with each other as well as those where one is independent from the other. Taking both parts of the study together, we identify the specific roles that language and spatial perception/cognition play in spatial categorization. (shrink)

As an essential direction for developing inclusive finance, digital financial inclusion breaks through the time and space constraints of inclusive finance development and has extensive connections between different regions. However, no research has modelled the network connections and the role and position of different digital financial inclusion development regions. This study constructed the spatial association network of China’s digital financial inclusion development and used the network analysis method and the quadratic assignment procedure method to study the structural and locational (...) properties and the influencing factors of the network. We found that although the network had a relatively low density, its connectivity and stability were excellent, and the network structure is not hierarchical; the centrality of some rapidly developing central and western provinces was greater than that of some developed eastern provinces; developed eastern provinces played a net spillover role, driving the development of digital financial inclusion in central and western provinces; and the spatial association was affected by the development level of the PC Internet and economy, the industrial structure, and the spatial adjacency. This study enriches the research on digital financial inclusion and provides a scientific basis for the formulation and implementation of policies to promote the further development of digital financial inclusion. (shrink)

During the past decade, the so-called “hypothesis of cognitive extension,” according to which the material vehicles of some cognitive processes are spatially distributed over the brain and the extracranial parts of the body and the world, has received lots of attention, both favourable and unfavourable. The debate has largely focussed on three related issues: (1) the role of parity considerations, (2) the role of functionalism, and (3) the importance of a mark of the cognitive. This paper critically assesses these (...) issues and their interconnections. Section 1 provides a brief introduction. Section 2 argues that some of the most prominent objections against the appeal to parity considerations fail. Section 3 shows that such considerations are nevertheless unsuitable as an argument for cognitive extension. First, the actual argumentative burden is carried by an underlying commitment to functionalism, not by the parity considerations themselves. Second, in the absence of an independently motivated mark of the cognitive, the argument based on parity considerations does not get off the ground, but given such a mark, it is superfluous. Section 4 argues that a similar dilemma arises for the attempt to defend cognitive extension by a general appeal to functionalism. Unless it can be independently settled what it is for a process to be cognitive, functionalism itself will be undermined by the possibility of cognitive extension. Like parity considerations, functionalism is thus either unable to support cognitive extension or superfluous. Hence, nothing short of the specification of an appropriate mark of the cognitive that can be fulfilled not only by intracranial but also by extended processes will do as an argument for cognitive extension. (shrink)

This paper examines the spatial spillover effects of public transportation infrastructure on regional economy in Northeast China, the “rust belt” region in China. The dataset consists of socioeconomic data from 47 cities in the area during the period of year 2005 through 2015. Accessibility is used as an explanatory variable to reflect the influence of infrastructure on economic development. In order to avoid the endogenous, queen contiguity matrix is used to define the spatial weight matrix. In the paper, (...) the dynamic panel data model is also used to explore the effects of high-speed railways in the whole study area and attempted to confirm the spatial differences among Heilongjiang Province, Jilin Province, and Liaoning Province. The results show that the high-speed railways increase the cities’ connection in terms of accessibility, and a significant positive spillover effect exists after the construction of high-speed railways, indicating the extensive economic benefits of HSR construction, despite of the overall economic difficulty experienced by this region. (shrink)

Very encouraging results have been obtained from a new program that derives a dense three-dimensional evidence grid representation of a robot's surroundings from wide-angle stereoscopic images. The pro gram adds several spatial rays of evidence to a grid for each of about 2,500 local image features chosen per stereo pair. It was used to construct a 256x256x64 grid, representing 6 by 6 by 2 meters, from a hand- collected test set of twenty stereo image pairs of an office scene. (...) Fifty nine stereo pairs of an 8 by 8 meter laboratory were also processed. The positive (probably occupied) cells of the grids, viewed in perspec tive, resemble dollhouse scenes. Details as small as the curvature of chair armrests are discernible. The processing time, on a 100 MIPS Sparc 20, is less than five seconds per stereo pair, and total memory is under 16 megabytes. The results seem abundantly adequate for very reliable navigation of freely roaming mobile robots, and plausibly adequate for shape identification of objects bigger than 10 centimeters. The program is a first proof of concept, and awaits optimizations, enhancements, variations, extensions and applications. (shrink)

With the popularity of location-based social networks, location prediction has become an important task and has gained significant attention in recent years. However, how to use massive trajectory data and spatial-temporal context information effectively to mine the user’s mobility pattern and predict the users’ next location is still unresolved. In this paper, we propose a novel network named STSAN, which can integrate spatial-temporal information with the self-attention for location prediction. In STSAN, we design a trajectory attention module to (...) learn users’ dynamic trajectory representation, which includes three modules: location attention, which captures the location sequential transitions with self-attention; spatial attention, which captures user’s preference for geographic location; and temporal attention, which captures the user temporal activity preference. Finally, extensive experiments on four real-world check-ins datasets are designed to verify the effectiveness of our proposed method. Experimental results show that spatial-temporal information can effectively improve the performance of the model. Our method STSAN gains about 39.8% Acc@1 and 4.4% APR improvements against the strongest baseline on New York City dataset. (shrink)

With the rising influence of digitalization and its immense penetration intoeven everyday life, the last decade of the 20th Century addressed to a critical threshold in the successive transformation process of the spatiality in its long-term run. The advanced digital technologies of ubiquitous computing and generative design, as well as the invention of smart materials in late 90’s have all provoked the fluid characteristics of spatiality, and strengthen the transformative capacities of the architectural space through the emergence of computer-augmented territories. (...) Additionally, while they are becoming as the body extensions, the advent of novel apparatuses and gadgets further enhanced the inte- gration of the corporal and incorporal bodies with the spatio-temporal multiplicities, where the hyperdimensionality of the space has been triggered to its outmost range, in relation to the “soft and smart technologically augmented immanent millieu”, in Spuybroek terms. Thus, like Spuybroek points out as the “haptonomist” presence of the body merges itself with these diverse bodily extensions on one hand; and on the other hand, as the rising influence of nomadic view of the world further stimulates the unboundedness and endless fluidity of space, so that the spatiality becomes a landscape of successive transformations, a topology of emergence or a plane of becoming, which is merely defined by lines of forces, and occures as an alive territory rather than a limited space of predefined boarders. Therefore, this evolvable territory which is affectable and being affected by the lines of forces –inner and outer forces–, emerges as an animated existence, an interactive organism. So, by interacting with the Deleuzian Philosophy and their notions like lines of forces, folding, becoming, smooth space, territory, spatium, this article aims to reveal the relevance of these notions in architectural discourse, as well as the emergence of the smooth space in the contemporary architectural practice, by magnifiying one of the very initial examples of its kind; in terms of unfolding the Fresh Water Pavilion of NOX Architecture by Lars Spuybroek into question to reveal the essences of thecontemporary transformable-evolvable architectural spatiality. (shrink)

This article describes how the spatiality of our existence determines the temporal relations that inform the contents of our consciousness. It argues that the extension of time—the fact the moments that compose it do not collapse into each other—can only be explained in terms of the dependence of time on space. Such dependence causes us to rethink the concept of subjectivity according to a multi-dimensional spatial paradigm, one that crosses the traditional divide between minds and bodies.

Children's overextensions of spatial language are often taken to reveal spatial biases. However, it is unclear whether extension patterns should be attributed to children's overly general spatial concepts or to a narrower notion of conceptual similarity allowing metaphor‐like extensions. We describe a previously unnoticed extension of spatial expressions and use a novel method to determine its origins. English‐ and Greek‐speaking 4‐ and 5‐year‐olds used containment expressions (e.g., English into, Greek mesa) for events where an (...) object moved into another object but extended such expressions to events where the object moved behind or under another object. The pattern emerged in adult speakers of both languages and also in speakers of 10 additional languages. We conclude that learners do not have an overly general concept of Containment. Nevertheless, children (and adults) perceive similarities across Containment and other types of spatial scenes, even when these similarities are obscured by the conventional forms of the language. (shrink)

As Adorno’s posthumous writings were released, a notable turn in his phi- losophy of music became noteworthy: by revealing an ambitious project on Beethoven, a quasi-axiomatic theory of musical time emerged, which seems to guide Adornian thought at very significant works and texts, as Philosophy of New Music. Sketched in three configuration types of musical time, this theory surprises with the so-called “ex- tensive type”. Adorno would then admit kinds of formal consistency (Stimmigkeit) that are not restricted to the ideal (...) of development (Entwicklung) and assumes the possibility of a non-regressive spatialization, which contrasts with his own ontological definition of the medium. This paper discusses the contradictions of extensive type by presenting an analysis of the Archduke Trio op. 97, in the light of the well-known originary affinity between Beethoven and Hegel. At last, the text presents by which means and for what reasons the extensive type would lead Adorno to the last and most decisive modality of musical time’s configuration, the late style. (shrink)

In this study, we explored the time and space relationship according to two different spatial codings, namely, the left/right extension and the reachability of stimulus along a near/far dimension. Four experiments were carried out in which healthy participants performed the time and spatial bisection tasks in near/far space, before and after short or long tool-use training. Stimuli were prebisected horizontal lines of different temporal durations in which the midpoint was manipulated according to the Muller-Lyer illusion. The perceptual (...) illusory effects emerged in spatial but not temporal judgments. We revealed that temporal and spatial representations dynamically change according to the action potentialities of an individual: temporal duration was perceived as shorter and the perceived line’s midpoint was shifted to the left in far than in near space. Crucially, this dissociation disappeared following a long but not short tool-use training. Finally, we observed age-related differences in spatial attention which may be crucial in building the memory temporal standard to categorize durations. (shrink)

Highly malignant neuroepithelial tumors are known for their extensive tissue invasion. Investigating the relationship between their spatial behavior and temporal patterns by employing detrended fluctuation analysis (DFA), we report here that faster glioma cell motility is accompanied by both greater predictability of the cells' migration velocity and concomitantly, more directionality in the cells' migration paths. Implications of this finding for both experimental and clinical cancer research are discussed.

This paper explores the ontology of Malebranche's notion of "intelligible extension", the archetypal divine idea of matter which he believed to be the immediate object of our own minds in all of our thoughts about corporeal things. Building on this account of its ontology, and through an examination of a form of isomorphism between intelligible extension and the created spatial world, the paper also attempts to explain the manner in which it could fulfill its epistemological role of (...) representing all possible bodies and supplying us with our abstract knowledge of geometry. (shrink)

This study focuses on the devices implemented in classical Indian texts on ritual and language in order to develop a structure of rules in an economic and systematic way. These devices presuppose a spatial approach to ritual and language, one which deals for instance with absences as substitutions within a pre-existing grid, and not as temporal disappearances. In this way, the study reveals a key feature of some among the most influential schools of Indian thought. The sources are Kalpasūtra, (...) Vyākaraṇa and Mīmāṃsā, three textual traditions which developed alongside each other, sharing - as the volume shows - common presuppositions and methodologies. The book will be of interest for Sanskritists, scholars of ritual exegesis and of the history of linguistics. - Cover. (shrink)

Husserl and Spatiality is an exploration of the phenomenology of space and embodiment, based on the work of Edmund Husserl. Little known in architecture, Husserl's phenomenology of embodied spatiality established the foundations for the works of later phenomenologists, including Maurice Merleau-Ponty's well-known phenomenology of perception. Through a detailed study of his posthumously published and unpublished manuscripts, DuFour examines the depth and scope of Husserl's phenomenology of space. The book investigates his analyses of corporeity and the 'lived body,' extending to questions (...) of intersubjective, intergenerational, and historical spatial experience, what DuFour terms the 'environmentality' of space. Combining in-depth architectural philosophical investigations of spatiality with a rich and intimate ethnography, Husserl and Spatiality speaks to themes in social and cultural anthropology from a theoretical perspective that addresses spatial practice and experience. Drawing on extensive fieldwork in Brazil, DuFour develops his analyses of Husserl's phenomenology through spatial accounts of ritual in the Afro-Brazilian religion of Candomblé. The result is a methodological innovation and unique mode of spatial description that DuFour terms a 'phenomenological ethnography of space.' The book's profoundly interdisciplinary approach makes an incisive contribution relevant to academics and students of architecture and architectural theory, anthropology and material culture, and philosophy and environmental aesthetics. (shrink)

The use of the axial vector representing a three-dimensional rotation makes the rotation representation much more compact by extending the trigonometric functions to vectorial arguments. Similarly, the pure Lorentz transformations are compactly treated by generalizing a scalar rapidity to a vector quantity in spatial three-dimensional cases and extending hyperbolic functions to vectorial arguments. A calculation of the Wigner rotation simplified by using the extended functions illustrates the fact that the rapidity vector space obeys hyperbolic geometry. New representations bring a (...) Lorentz-invariant fundamental equation of motion corresponding to the Galilei-invariant equation of Newtonian mechanics. (shrink)

I defend what I take to be a genuinely Kantian view on temporal extension: time is not an object but a human horizon of concrete particulars. As such, time depends on the existence of embodied human subjects. It does not, however, depend on those subjects determined as spatial objects. Starting with a realist notion of “apperception” as applied to indexical space, I proceed with the need for external criteria of temporal duration. In accordance with Kant’s Second Analogy of (...) Experience, these criteria are found in concepts and laws of motion and change. I then see what follows from this for a reasonable notion of transcendental idealism. Finally, in support of my Kantian conclusions, I argue for the transcendentally subjective nature of particular temporal extension. (shrink)

In this paper, we study the path based continuous spatial keyword queries, which find the answer set continuously when the query point moves on a given path. Under this setting, we explore two primitive spatial keyword queries, namely k nearest neighbor query and range query. The technical challenges lie in that: retrieving qualified vertices in large road networks efficiently, and issuing the query continuously for points on the path, which turns out to be inapplicable. To overcome the above (...) challenges, we first propose a backbone road network index structure, which supports the distance computation efficiently and offers a global insights of the whole road network. Motivated by the safe zone technique, we then transform our queries to the issue of finding event points, which capture the changes of answer set. By this transformation, our queries are to be simple and feasible. To answer the queries, we propose a Two-Phase Progressive computing framework, which first computes the answer sets for some crucial vertices on the path, and then identifies the event points by the retrieved answer sets. Extensive experiments on both real and synthetic data sets are conducted to evaluate the performance of our proposed algorithms, and the results show that our algorithms outperform competitors by several orders of magnitude. (shrink)

In this paper, I analyze William Crathorn’s view on extension and compare it to William Ockham’s reductionist view, according to which extension is not really distinct from substance or quality. In my view, Crathorn elaborates a metaphysical machinery based on mereological and topological relationships in order to solve what he considers to be problems in Ockham’s account of quantity. In order to make my point, I reconstruct Crathorn’s main arguments in favor of his finitist atomism. Crathorn claims that (...) certain fundamental spatial structures are of a mereological nature and that the mereological properties of located entities perfectly match those of their locations. This idea lies at the core of his solution to the paradox of touching and the metrical paradox. It allows him to redefine contiguity in such a way that extensionless magnitudes can touch and succeed each other. Crathorn goes one step further and claims that indivisibles are extended in the sense that they occupy an extended incorporeal space, which is their dimension. In this sense, they can come together to form a continuous magnitude. Thus, Crathorn succeeds in defining a concept of continuity that is compatible with his finitist atomism and that addresses what he takes to be a major weakness in Ockham’s view on extension, namely a murky concept of impenetrability. (shrink)

In our everyday life, we have the genuine feeling that when something we use works very well, we forget that we are doing something that is mediated by something else. It happens when we read through our glasses, or when we drive home, or when we play guitar. In all those cases, it can be said that the device becomes an extension of our body, or that we have incorporated it. In this paper I want to discuss the (...) class='Hi'>extension/incorporation dichotomy as presented in contemporary cognitive sciences. I will present the state of the art in the debate in order to promote a methodological shift, namely to adopt two concept borrowed from Material Engagement Theory developed by Lambros Malafouris. By advocating the concepts of temporality and metaplasticity, I will argue for two different but related things: 1) extension and incorporation don’t have to be conceived only spatially, but temporally. This shift leads to two distinctive implications: first, the sooner two entities establish a prosthetic contact, the higher the chances to reach incorporation; second, extension temporally precedes incorporation; the former being an early-staged phenomenon of – a condition of possibility for – the latter. 2) Such a temporal perspective is at the base of metaplasticity, which describes, in the context of MET, the constant, co-constitutive loop between humans and things: metaplasticity deflates the privileged role traditionally attributed to the subject in the making of phenomenal experience. Finally, I will discuss extension and incorporation in media theory, relying on the concept of radical mediation. (shrink)

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)

We propose in this paper to construct modal logics based on mathematical morphology. The contribution of this paper is twofold. First we show that mathematical morphology can be used to define modal operators in the context of normal modal logics. We propose definitions of modal operators as algebraic dilations and erosions, based on the notion of adjunction. We detail the particular case of morphological dilations and erosions, and of there compositions, as opening and closing. An extension to the fuzzy (...) case is also proposed. Then we show how this can be interpreted for spatial reasoning by using qualitative symbolic representations of spatial relationships (topological and metric ones) derived from mathematical morphology. This allows to establish some links between numerical and symbolic representations of spatial knowledge. (shrink)

Several logical operators are defined as dual pairs, in different types of logics. Such dual pairs of operators also occur in other algebraic theories, such as mathematical morphology. Based on this observation, this paper proposes to define, at the abstract level of institutions, a pair of abstract dual and logical operators as morphological erosion and dilation. Standard quantifiers and modalities are then derived from these two abstract logical operators. These operators are studied both on sets of states and sets of (...) models. To cope with the lack of explicit set of states in institutions, the proposed abstract logical dual operators are defined in an extension of institutions, the stratified institutions, which take into account the notion of open sentences, whose satisfaction is parametrised by sets of states. A hint on the potential interest of the proposed framework for spatial reasoning is also provided. (shrink)

In a recent volume of this journal, L. Angel ([2002]) proposed a collision mechanics leading to such strange results as the possibility that a particle may be in several places at the same time, or the existence of unprepared spatially-separated correlations. I will here show that neither of these results follows from his theory or, if it does, the theory, contrary to what Angel claims, is not a plausible extension of Newtonian collision dynamics. 1. No bilocation2. No quantum leap3. (...) No unprepared spatially-separated correlations. (shrink)

In a recent volume of this journal, L. Angel ([2002]) proposed a collision mechanics leading to such strange results as the possibility that a particle may be in several places at the same time, or the existence of unprepared spatially-separated correlations. I will here show that neither of these results follows from his theory or, if it does, the theory, contrary to what Angel claims, is not a plausible extension of Newtonian collision dynamics. No bilocation No quantum leap No (...) unprepared spatially-separated correlations. (shrink)

Relational, operator, and predicate systems are distinguished on the basis that they correspond to the three possible pair-wise bracketings into two constituents of the three parts of a proposition: relation, subject, and object. It is asserted that the verbal propositional modality (left hemisphere) uses a predicate grammar, while the spatial-image operational modality (right hemisphere) uses an operator grammar. Verbal propositional memory has the capacity for extensive propositional embedding while spatial operational memory does not.

The next generation of Geographic Information Systems is anticipated to automate some of the reasoning required for spatial analysis. An important step in the development of such systems is to gain a better understanding and corresponding modeling practice of when to apply arithmetic operations to quantities. The concept of extensivity plays an essential role in determining when quantities can be aggregated by summing them, and when this is not possible. This is of particular importance to geographic information systems, which (...) serve to quantify phenomena across space and time. However, currently, multiple contrasting definitions of extensivity exist, and none of these suffice for handling the different practical cases occurring in geographic information. As a result, analysts predominantly rely on intuition and ad hoc reasoning to determine whether two quantities are additive. In this paper, we present a novel approach to formalizing the concept of extensivity. Though our notion as such is not restricted to quantifications occurring within geographic information, it is particularly useful for this purpose. Following the idea of spatio-temporal controls by Sinton, we define extensivity as a property of measurements of quantities with respect to a controlling quantity, such that a sum of the latter implies a sum of the former. In our algebraic definition of amounts and other quantities, we do away with some of the constraints that limit the usability of older approaches. By treating extensivity as a relation between amounts and other types of quantities, our definition offers the flexibility to relate a quantity to many domains of interest. We show how this new notion of extensivity can be used to classify the kinds of amounts in various examples of geographic information. (shrink)

With the rapid and unbalanced development of industry, a large amount of cultivated land is converted into industrial land with lower efficiency. The existing research is extensively concerned with industrial land use and industrial development in isolation, but little attention has been paid to the relationship between them. To help address this gap, the paper creates a new efficiency measure method for industrial land use combining Subvector Data Envelope Analysis with spatial analysis approach. The proposed model has been verified (...) by using the industrial land use data of 30 Chinese provinces from 2001 to 2013. The spatial autocorrelation relationship between industrial development and industrial land use efficiency is explored. Furthermore, this paper examines the effects of industrial development on industrial land use efficiency by spatial panel data model. The results indicate that the industrial land use efficiency and the industrial development level in the provinces of eastern region are higher than those of the western region. The spatial distribution of industrial land use efficiency shows remarkable positive spatial autocorrelation. However, the level of industrial development has obvious negative spatial autocorrelation since 2009. The improvement of industrial development has a significant positive impact on the industrial land use efficiency. (shrink)

In The Quantity of the Soul, Augustine puts forward the view that the soul is immaterial and that its quantity (quantitas) must be understood in terms of power rather than spatial extension. Against this view, his friend and interlocutor Evodius raises an important objection, The Objection from Touch, which argues that the soul’s exercise of tactile sensation requires that it be extended through the parts of the body. This paper examines Evodius’s objection and Augustine’s response to it. Particular (...) attention is given to certain features of Augustine’s theory of sensation that this exchange reveals, especially his view that the eyes undergo passion-at-a-distance or are acted on at a place where they are not present. (shrink)

ABSTRACT This essay will explore the constitution of a transcendental theory of space through an examination of the notion of spatial synthesis in the works of Husserl, Paliard, and Deleuze. First, we shall explore the constitution of the sensorial fields in Husserl’s phenomenology. In Husserlian terms, space is not originally an empty form that can eventually be filled with a certain empirical content. Accordingly, the philosopher claims that spatiality is a consequence of the immanent synthesis of sensations. Then, we (...) will move on to Jacques Paliard’s psychology of perception, where we will find both aesthetic and noetic synthesis as transcendental conditions for the perception of space. Lastly, we will explore Deleuze’s theory of intensive space, specifically the concept of depth developed in a dialogue with Paliard. This comparative analysis shows that purely intensive fields of individuation are a transcendental a priori for the perception of an extensive space. (shrink)

The main aim of this study is to explain passage 35b4-37a2 of Plato’s Timaeus which deals with three main topics: the mathematization of the world’s soul, its movement, and its binding to the world’s body. First, it is argued that the mathematical structure of the world-soul allows it to participate in and be sensitive to harmony, which is essential for the correct workings of its cognitive capacities. Second, the division of the world-soul to the circle of the same and the (...) circles of the different and its self-motion comes in. This allows it to ‘touch’ and cognize the forms and the material things, as well as rule the movement of the corporeal world and care for it. In this aspect, the world-soul continues the process that started with the original creative act of the demiurge. Third, it is argued that the description of the world-soul’s binding to the world-body entails its conception as a spatially extended entity, which, in turn, explains of the possibility of an interaction between the corporeal world and its soul. (shrink)

Assistive Device Art derives from the integration of Assistive Technology and Art, involving the mediation of sensorimotor functions and perception from both, psychophysical methods and conceptual mechanics of sensory embodiment. This paper describes the concept of ADA and its origins by observing the phenomena that surround the aesthetics of prosthesis-related art. It also analyzes one case study, the Echolocation Headphones, relating its provenience and performance to this new conceptual and psychophysical approach of tool design. This ADA tool is designed to (...) aid human echolocation. They facilitate the experience of sonic vision, as a way of reflecting and learning about the construct of our spatial perception. Echolocation Headphones are a pair of opaque goggles which disable the participant’s vision. This device emits a focused sound beam which activates the space with directional acoustic reflection, giving the user the ability to navigate and perceive space through audition. The directional properties of parametric sound provide the participant a focal echo, similar to the focal point of vision. This study analyzes the effectiveness of this wearable sensory extension for aiding auditory spatial location in three experiments; optimal sound type and distance for object location, perceptual resolution by just noticeable difference, and goal-directed spatial navigation for open pathway detection, all conducted at the Virtual Reality Lab of the University of Tsukuba, Japan. The Echolocation Headphones have been designed for a diverse participant base. They have both the potential to aid auditory spatial perception for the visually impaired and to train sighted individuals in gaining human echolocation abilities. Furthermore, this Assistive Device artwork instigates participants to contemplate on the plasticity of their sensorimotor architecture. (shrink)

A uniform analysis is offered for the source of the locations specified by all references in English to spatial properties including location and movement. This source is argued to be the location of events and states of affairs. These locations are specified by sets showing spaces momentarily occupied. Descriptions of motion are accounted for through a variety of ways of referencing these sets. Some classes of simple clauses are identified as requiring semantic analysis involving multiple events and states of (...) affairs. This importantly allows spatial references to be associated with different events and states of affairs. Identification of object location is accounted for by use of extra inference rules or meaning postulates. A number of other explanations are suggested for more limited and derivative phenomena. The analysis is developed within a Case-like notation presented in the first-order predicate calculus. It is supported by an extensive analysis of spatial reference phenomena and by identification of ancillary benefits. (shrink)

The Central American migrant caravans of 2018 are best understood as having been precipitated by entangled multi-scalar geopolitical histories among the United States, Mexico, Guatemala, Honduras, and El Salvador. Unsurprisingly, the migrants traveling north to the United States garnered widespread attention on social media. So much so that the reaction to the caravan accelerated plans to deploy troops to the US southern border and deny Central Americans the opportunity to seek asylum. This example showcases how the digital world can have (...) exponential material effects. While coverage on border security and migration has been extensive, within political geography, such concerns have rarely been paired with social media. In this article, we take as our object of analysis the digitality or “digital life” of the migrant caravan. Mapping the patterns of migrant caravan-related tweeting paired with the exploration of Twitter’s networked dimensions reveals the platform to be a fundamentally spatial technology. Rather than reflect, refract or distort, Twitter produces and is in turn produced through spatial mechanisms. We present multiple cartographic visualizations in support of this claim and highlight the ways in which a contextual knowledge of the subject under study—the migrant caravan—can further inform analyses of Big Data. (shrink)

Body part terms (BPTs) are used extensively in Mesoamerican languages to name object parts. The process through which BPTs might be extended to refer to a part of an object and further serve as a relator in describing the relation between objects in space has often been attributed to metaphorical processes. This study proposes an alternative analysis following a Structure–Mapping Theory approach (Gentner, 1983, inter alia), based on data from Diidxazá (Isthmus Zapotec, Otomanguean) obtained through elicitation and experimental tasks. The (...) data show that structure mapping does not depend on a 1:1 match of attributes; frequency of use shed light on principles that constrain the semantic extension of most BPTs; a core set of six BPTs are extended by abstraction of the set of intersecting axes of the body. The detailed nature of this study enables an analysis of the mental representations underlying the semantic extension of BPTs. This in turn elucidates on aspects of the relation between spatial language and spatial cognition. In addition, this study allows us to address questions about the categorial status of BPTs in Diidxazá and their lexicographic representation. (shrink)

Contextual learning pervades our perception and cognition and plays a critical role in adjusting to aversive and stressful events. Our ability to memorise spatial context has been studied extensive...

We do not fully understand Hume’s account of space if we do not understand his view of determinations of extension, which is too much ignored a topic. In this paper, I argue for an interpretation that determinations of extension are unities in Hume’s view: single beings in addition to their components. This realist reading is reasonable on both textual and philosophical grounds. There is strong textual evidence for it and no textual reason to reject it. Realism makes perfect (...) sense of the metaphysics of determinations of extension along Humean lines and Hume’s view of spatial relations. (shrink)

This chapter explores to what extent some core ideas of predictive processing can be applied to the phenomenology of time consciousness. The focus is on the experienced continuity of consciously perceived, temporally extended phenomena (such as enduring processes and successions of events). The main claim is that the hierarchy of representations posited by hierarchical predictive processing models can contribute to a deepened understanding of the continuity of consciousness. Computationally, such models show that sequences of events can be represented as states (...) of a hierarchy of dynamical systems. Phenomenologically, they suggest a more fine-grained analysis of the perceptual contents of the specious present, in terms of a hierarchy of temporal wholes. Visual perception of static scenes not only contains perceived objects and regions but also spatial gist; similarly, auditory perception of temporal sequences, such as melodies, involves not only perceiving individual notes but also slightly more abstract features (temporal gist), which have longer temporal durations (e.g., emotional character or rhythm). Further investigations into these elusive contents of conscious perception may be facilitated by findings regarding its neural underpinnings. Predictive processing models suggest that sensorimotor areas may influence these contents. (shrink)

We show how mereotopological notions can be expressed by extending intuitionistic propositional logic with propositional quantification and a strong modal operator. We first prove completeness for the logics wrt Kripke models; then we trace the correspondence between Kripke models and topological spaces that have been enhanced with an explicit notion of expressible region. We show how some qualitative spatial notions can be expressed in topological terms. We use the semantical and topological results in order to show how in some (...) extensions of the logics it is possible to express connectedness, non-emptiness and a set of jointly exhaustive, pairwise disjoint, binary relations that play a significant role in qualitative spatial reasoning. (shrink)