While there is considerable disagreement on the precise nature of material objecthood, it is standardly assumed that material objects must be spatial. In this paper, I provide two arguments against this assumption. The first argument is made from largely a priori considerations about modal plenitude. The possibility of non-spatial material objects follows from commitment to certain plausible principles governing material objecthood and plausible principles regarding modal plenitude. The second argument draws from current philosophical discussions regarding theories of quantum gravity and (...) the emergence of spacetime. When it is appreciated what possible worlds these current theories commit us to, the possibility of non-spatial material objects will follow. Thus, either route will lead us to the possibility of non-spatial material objects. The significance of this result is that we need to revise our accounts of material objecthood to both accommodate these possibilities and the theories that lead to them. (shrink)

A single-blind experiment was conducted on free-responsive spatially non-local perception of free-selective simple photographic targets. One author (the tasker) chose a photographic target not subjected to a priori compiling, and the other author (the perceiver) attempted to unconventionally perceive the target. Feedback was expected prior to a new target being selected. A hundred trials were completed over 11 months. Thirteen judges offered gradings that collectively projected an apparent information requisition yield (AIRY). The AIRY refers to two aspects of the matching (...) of a taskette (a target’s counterpart) with respect to the target based on fuzzy scales from 0% to 100%, graded with an increment of 10%. The type-I or “tangibility” aspect of matching assessed the extent of the resemblance of a taskette to the target in terms of the shape or structural details of the primary physical entity/event. The type-II or “intangibility” aspect of the matching assessed the degree of the reconstruction of a taskette to the target in terms of the feature or functionality of the predominant physical entity/event. A total of 6 taskettes received >50% grades in both type-I and type-II aspects of matching with their respective targets. This outcome may correspond to an effect size of 1.47 if the chance-expectation may give a benchmark proportion of 3 out of 100 trials producing >50% grades in both type-I and type-II aspects of matching. Patterns indicating target interference associated with two trials entail further investigation. The approaches offer new insights to quantifying the band-limited information throughputs of spatially non-local perception. (shrink)

I argue that relations between non-collocated spatial entities, between non-identical topological spaces, and between non-identical basic building blocks of space, do not exist. If any spatially located entities are not at the same spatial location, or if any topological spaces or basic building blocks of space are non-identical, I will argue that there are no relations between or among them. The arguments I present are arguments that I have not seen in the literature.

This paper examines Helmholtz's attempt to use empirical psychology to refute certain of Kant's epistemological positions. Particularly, Helmholtz believed that his work in the psychology of visual perception showed Kant's doctrine of the a priori character of spatial intuition to be in error. Some of Helmholtz's arguments are effective, but this effectiveness derives from his arguments to show the possibility of obtaining evidence that the structure of physical space is non-Euclidean, and these arguments do not depend on his theory of (...) vision. Helmholtz's general attempt to provide an empirical account of the "inferences" of perception is regarded as a failure. (shrink)

The diversity of multicultural, multi-religious, and multi-ethnic groups and communities within Britain has created cohesion and integration challenges for different community groups and authorities to adapt to the current diverse society. More recently, there has been an increased focus on Muslim segregation in Britain in official reports and reviews. Those documents mentioned the Muslims’ segregation (directly or indirectly) for various reasons, and some recommendations have aimed to improve “community cohesion” in general and Muslims’ “integration” in particular. However, community participation in (...) the design or planning of regeneration and development projects has yet to be focused on, although these documents recommended promoting community cohesion and integration through these projects. Community participation in architecture—in its broader sense—is a crucial aspect that contributes towards fulfilling the tasks of serving communities with different religious and ethnic backgrounds. Muslims’ religious and cultural practices have been problematised in urban spaces and perceived as leading to social and spatial segregation. This paper intends to explore how secular urban spaces are used and perceived by Muslims through their religious and cultural practices. Therefore, the article aspires to inform the community participation in urban projects and demonstrates the role that Muslims’ inclusion in designing urban projects has in promoting cohesion and integration. The Ellesmere Green project in Burngreave, Sheffield, UK, is an empirical example of exploring this locally through semi-structured interviews with community members, leaders, and local authorities’ officials. The findings demonstrate that sacred and secular spaces are interconnected in Muslims’ everyday lives, and the boundaries between them are blurry. The data also show that having the ability to manifest their religious and cultural practices in secular urban spaces does not suggest the desire for segregation, nor does it reduce Muslims’ willingness to have social and spatial interactions with non-Muslims. (shrink)

This article argues against the concept of integration as the main mechanism allowing various sociocultural groups to live together and instead proposes ‘radical inclusivity’ as a better, less oppressive model of a pluralistic society. Through analytical and reflective research on the non-cohesion-based approach to integration or inclusion, this article is devoted to examining the affordances and limitations of integration through various forms of spatial interventions. As an example, we will discuss the Ellesmere Green Project in Sheffield (UK) as a typical (...) small urban regeneration executed in a highly diverse part of Sheffield. This piece aims to bring forward the significance of moving beyond the community-as-cohesion model in urban politics and planning for integration. (shrink)

In this paper, we explore numerical methods for simulating scalar field con-figurations in non-commutative two-dimensional spaces. We focus on the finite difference techniques employed to compute mixed partial derivatives and the action functional in the presence of non-commutative corrections. The methods presented address the challenges posed by non-commutative geometry, specifically in computing the mixed derivative terms that arise due to the deformation of spatial coordinates. We introduce semi-implicit time-stepping schemes to en-sure numerical stability when dealing with stiff nonlinear terms. The (...) approaches discussed here provide a framework for simulating and analyzing physical systems influenced by non-commutativity, which are not extensively documented in existing literature. (shrink)

Almost any mainstream reading about the nature of Kant's 'content of cognition' in both non-conceptualist and conceptualist camps agree that 'singular representations' (sensible intuitions) are, at least in some weak sense, objectdependent because they supervene on a manifold of sensations that are given through the disposition of our sensibility and parallel thus the real and physical components of the world (cf. McDowell 1996, Allison 1983, Ginsborg 2008, Allais 2009). The relevant class of sensible intuitions should refer, as they argue, only (...) to empirical and not to pure ones. Kant's transcendental argument creates, however, no implications as to the metaphysics of properties. Neither does he consider the world to be consisted of sensory content simpliciter nor do sensations refer to objects per se. Instead, he provides an all-encompassing pattern for sensible intuitions of any kind through the representation of space as a cognitive map in that an object can be represented if spatial properties are attributed to it. Sensible intuitions of any kind could be referring, that is to say, and can be conceptualized if they are spatial. Consequently and unlike the contemporary philosophy of perception, Kant contrasts sensible intuitions and pure concepts of understanding 'altogether' against one single experience, from which the justification of objects should proceed. In other words, what stands at the core of exposing the content of cognition concerns not the phenomenological status and actuality of sensible intuitions in the sense of 'bits of experiential intake', but the logical structure of possibility of sensible intuitions of any (external or internal) causal background. The aim of this discussion is to clarify that Kant's transcendental idealism mutatis mutandis reviews multiple and diverse kinds of 'data of mind' and cognition in the background, without reducing the content of cognition to metaphysically determined referents as 'matters of fact' and to pure concepts of understanding. Sensible intuitions in the sense of content of cognition vary, most importantly, from unstructured and unjustifiable data of mind including (physical) contents of perception and stuff of mind and also from reflective and intellectual intuitions that are the cognates of the structured complex singular representations. Put it in simple terms, Kant advocates the thesis that 'facts' are objects for concepts if they are already well-founded trough the cognitive map of the representation of space. -/- . (shrink)

In a recent paper, Yoaav Isaacs, Alan Hájek, and John Hawthorne argue for the rational permissibility of "credal imprecision" by appealing to certain propositions associated with non-measurable spatial regions: for example, the proposition that the pointer of a spinner will come to rest within a certain non-measurable set of points on its circumference. This paper rebuts their argument by showing that its premises lead to implausible consequences in cases where one is trying to learn, by making multiple observations, whether a (...) certain outcome is associated with a non-measurable region or a measurable one. (shrink)

The standard, foundationalist reading of Our Knowledge of the External World requires Russell to have a view of perceptual acquaintance that he demonstrably does not have. Russell’s actual purpose in “constructing” physical bodies out of sense-data is instead to show that psychology and physics are consistent. But how seriously engaged was Russell with actual psychology? I show that OKEW makes some non-trivial assumptions about the character of visual space, and I argue that he drew those assumptions from William James’s Principles. (...) This point helps us take a fresh look at the complex relationship between the two men. In light of this surprising background of agreement, I highlight ways their more general approaches to perception finally diverged in ways that put the two at epistemological odds. (shrink)

In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspects of spatial reasoning and therefore has to be enhanced by further non-mereological concepts to overcome its congenital limitations. The allegedly unmereological concept of (...) boundary is treated in detail and shown to be essentially affected by mereological considerations. More precisely, the concept of boundary turns out to be realizable in a variety of different mereologically grounded versions. In particular, every part K of a Heyting algebra H gives rise to a well-behaved K-relative boundary operator. (shrink)

The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry. Similarly, advancements in algebra challenged the view that temporal intuition provides a foundation for both it and arithmetic. Mathematics seemed increasingly detached from experience as well as its form; moreover, with advances in symbolic logic, mathematical inference also seemed independent of intuition. This paper considers various philosophical responses to (...) these changes, focusing on the idea of modifying Kant’s conception of intuition in order to accommodate the increasing abstractness of mathematics. It is argued that far from clinging to an outdated paradigm, programs based on new conceptions of intuition should be seen as motivated by important philosophical desiderata, such as the truth, apriority, distinctiveness and autonomy of mathematics. (shrink)

Can we maintain that purple seems composed of red and blue without giving up the impenetrability of the red and blue parts that compose it? Brentano thinks we can. Purple, according to him, is a chessboard of red and blue tiles which, although individually too small to be perceived, are together indistinctly perceived within the purple. After a presentation of Brentano’s solution, we raise two objections to it. First, Brentano’s solution commits him to unperceivable intentional objects (the chessboard’s tiles). Second, (...) his chessboard account fails in the end to explain the phenomenal spatial continuity of compound colours. We then sketch an alternative account, which, while holding fast to the phenomenal compoundedness of the purple and to the impenetrability of component colours, avoids introducing inaccessible intentional objects and compromising on the continuity of the purple. According to our proposal, instead of being indistinctly perceived spatial parts of the purple, red and blue are distinctly perceived non- spatial parts of it. (shrink)

In this chapter, Pautz raises a puzzle about spatial experience for phenomenal internalists like Ned Block. If an accidental, lifelong brain-in-the-void (BIV) should have all the same experiences as you, it would have an experience as of items having various shapes, and be able to acquire concepts of those shapes, despite being cut off from real things with the shapes. Internalists cannot explain this by saying that BIV is presented with Peacocke-style visual field regions having various shapes, because these would (...) have to be non-physical sense data. They might instead explain this by saying that BIV “phenomenally represents” various shape properties. But since BIV lacks any interesting physical relations to shapes, this would imply that phenomenally representation is an irreducible relation. (shrink)

This paper examines the adequacy of causal graph theory as a tool for modeling biological phenomena and formalizing biological explanations. I point out that the causal graph approach reaches it limits when it comes to modeling biological phenomena that involve complex spatial and structural relations. Using a case study from molecular biology, DNA-binding and -recognition of proteins, I argue that causal graph models fail to adequately represent and explain causal phenomena in this field. The inadequacy of these models is due (...) to their failure to include relevant spatial and structural information in a way that does not render the model non-explanatory, unmanageable, or inconsistent with basic assumptions of causal graph theory. (shrink)

Perception is riddled with cases of reliable misperception. These are cases in which a perceptual state is tokened inaccurately any time it is tokened under normal conditions. On the face of it, this fact causes trouble for theories that provide an analysis of perceptual content in non-semantic, non-intentional, and non-phenomenal terms, such as those found in Millikan (1984), Fodor (1990), Neander (2017), and Schellenberg (2018). I show how such theories can be extended so that they cover such cases without giving (...) up their core commitments. (shrink)

The electronic and muonic hydrogen energy levels are calculated very accurately [1] in Quantum Electrodynamics (QED) by coupling the Dirac Equation four vector (c ,mc2) current covariantly with the external electromagnetic (EM) field four vector in QED’s Interactive Representation (IR). The c -Non Exclusion Principle(c -NEP) states that, if one accepts c as the electron/muon velocity operator because of the very accurate hydrogen energy levels calculated, the one must also accept the resulting electron/muon internal spatial and time coordinate operators (ISaTCO) (...) derived directly from c without any assumptions. This paper does not change any of the accurate QED calculations of hydrogen’s energy levels, given the simplistic model of the proton used in these calculations [1]. The Proton Radius Puzzle [2, 3] may indicate that new physics is necessary beyond the Standard Model (SM), and this paper describes the bizarre, and very different, situation when the electron and muon are located “inside” the spatially extended proton with their Centers of Charge (CoCs) orbiting the proton at the speed of light in S energy states. The electron/muon center of charge (CoC) is a structureless point that vibrates rapidly in its inseparable, non-random vacuum whose geometry and time structure are defined by the electron/muon ISaTCO discrete geometry. The electron/muon self mass becomes finite in a natural way due to the ISaTCOs cutting off high virtual photon energies in the photon propagator. The Dirac-Maxwell-Wilson (DMW) Equations are derived from the ISaTCO for the EM fields of an electron/muon, and the electron/muon “look” like point particles in far field scattering experiments in the same way the electric field from a sphere with evenly distributed charge “e” “looks” like a point with the same charge in the far field (Gauss Law). The electron’s/muon’s three fluctuating CoC internal spatial coordinate operators have eight possible eigenvalues [4, 5, 6] that fall on a spherical shell centered on the electron’s CoM with radius in the rest frame. The electron/muon internal time operator is discrete, describes the rapid virtual electron/positron pair production and annihilation. The ISaTCO together create a current that produce spin and magnetic moment operators, and the electron and muon no longer have “intrinsic” properties since the ISaTCO kinematics define spin and magnetic moment properties. (shrink)

An operational approach to quantum mechanics has been developed in the past decades in our group in Brussels. A similar approach is taken in this work, making use of the extra operational depth offered by this approach, to show that the construction of spacetime is specific to each observer. What is usually referred to as the block universe then emerges by noting that parts of the past and future are also contained in the present, but without the limitations that a (...) four-dimensional block universe usually implies, of a reality in which change would be impossible. In our operational approach, reality remains dynamic, with free choice playing a central role in its conceptualization. We also show that, when operationally analyzed, the theory implies that objects move not only in space, but also and especially in time, and more generally in spacetime, with their rest mass being a measure of their kinetic time energy. We therefore claim that Einstein’s relativity revolution has not been fully realized, since most physicists are not ready to accept these consequences of the theory although the formula’s showing them, when operationally analyzed, are in every relativity textbook. In particular, when relativistic motion is revisited as a genuine four-dimensional motion, it becomes possible to reinterpret the parameter c associated with the coordinate speed of light, which becomes the magnitude of the four-velocity of all material entities. We observe that this four-dimensional motion in Minkowski space can also be better understood if placed in the broader perspective of quantum mechanics, provided that non-locality is interpreted as non-spatiality, thus indicating the existence of an underlying non-spatial reality, the nature of which could be conceptual, consistent with the conceptuality interpretation of quantum mechanics. This hypothesis is reinforced by noting that when observers, or experiencers, as they will be referred to in this article, are described by acknowledging their cognitive nature of entities moving in a semantic space, Minkowski metric emerges in a natural way. (shrink)

An overview of the way I picture the amorphous world we live in, built around my comments and responses to nine festschrift essays by A. Borghini (on the Fedro metaphor and the art of butchery), F. Calemi (on the predication principle and metalinguistic nominalism), C. Calosi (on the argument from mereological universalism to extensonality), E. Casetta (on the role of “monsters” in the realism/antirealism debate), V. Giardino (on inductive reasoning, spatial representation, and problem solving), P. Graziani (on mereological notation), P. (...) Pedrini (on the distinction between natural and artificial boundaries), D. Santoro (on causation by omission), and G. Torrengo (on absolute vs. relational space and the problem of incongruent counterparts). (shrink)

Purpose: Despite the prevalent use of the golden ratio in the environment design for autistic users, there is no experimental research that explains their desired space ratio. This study aims to find the desired ratio in the learning environment, like an occupational therapy room for autistic users, while considering effective variables on their choices. Methodology: Based on McAllister's (2012) study, a scale model inspired by a dollhouse has been chosen to work and play with autistic children directly and find their (...) desired space ratio. Meanwhile, the furniture configuration and the access type in the environment could also define the ratio for interviewees. Accordingly, the scale model was designed with six different scale rooms containing three ratios and two spatial access types represented by the furniture arrangement. 50 autistic children of different ages, genders, and disorders in the moderate and medium spectrum have been randomly sampled. Then, they were asked to choose their desired ratio by playing with the scale model and putting the doll in their preferred room. This study also included 50 non-autistic children as a control group with different genders and defined ages. Result: After interviewing both groups, the chi-square test with Cramer's V calculation analyzed the result to find the statistically significant correlation between control variables, among which two independent variables had a statistically significant correlation with the chosen ratio for all the interviewees. First, being autistic significantly impacted their desired ratio choice as autistic children went for a ratio of 2:5, and no autistic ones had a high tendency toward the golden ratio (1:1.6). The chi-square test also showed that the access type in the scale model was the effective variable for both groups when choosing their desired ratio. Conclusion: The access type of the room with its furniture configuration impacted how users perceived the room's ratio, as well as being autistic or non-autistic users. (shrink)

This essay argues that a new technique of ordering and producing space emerged in the sixteenth century, whereby the Américas were taken as a heterotopic laboratory for the space of the grid. As the ordered grid of space lightened the physical fortification of heavy walls traditionally found in medieval Europe, it implanted new methods of ordering the behavior of the human body and soul. In this way, the grid gave rise to disciplinary techniques of controlling and producing human subjectivity. The (...) global problematic of space as it emerges after 1492 is a central thematic of decolonial philosophy and critiques of coloniality. Many accounts of decolonial philosophy emphasize the ontological nihilation of the periphery, the European production of the other as non-being in an empty space beyond the line. This article supplements this view by arguing that we need an account of the production and ordering of this space that goes beyond simple negation and emptiness. The coloniality of power, thus, has a disciplinary dimension that involves the ordering and production of subjects and spaces in the Américas, while Foucauldian disciplinary power is entangled with the coloniality of power. (shrink)

The sense of touch provides us knowledge of two kinds of events. Tactile sensation (T) makes us aware of events on or just below the skin; haptic perception (H) gives us knowledge of things outside the body with which we are in contact. This paper argues that T and H are distinct experiences, and not (as some have argued) different aspects of the same touch-experience. In other words, T ≠ H. Moreover, H does not supervene on T. Secondly: In T, (...) we are aware of immanent, phenomenal qualities; in H, we come to know of transcendent qualities in things that exist independently of ourselves. Finally: T is non-spatial; it is indexed by parts of the body, but not by position in space. H, by contrast, is spatial. This brings to mind Kant’s contention that things are presented as existing objectively when they are represented spatially. (shrink)

Husserl’s extensive analyses of image consciousness (Bildbewusstsein) and of the imagination (Phantasie) offer insightful and detailed structural explications. However, despite this careful work, Husserl’s discussions fail to overcome the need to rely on a most problematic concept: mental images. The epistemological conundrums triggered by the conceptual framework of mental images are well known—we have only to remember the questions regarding knowledge acquisition that plagued British empiricism. Beyond these problems, however, a plethora of important questions arise from claiming that mental images (...) are structural moments of imaging and imagining. Any attempt to clarify the structure and conditions for the possibility of aesthetic experience must first provide an unambiguous account of pictorial depiction—a task unattainable through the mental images discourse. Similarly, exposing the import of the imagination for theoretical scientific inquiries (be they positive or eidetic) requires an initial explication of the structure of this consciousness; this explication, however, must address our ability to imagine non-spatially determined objects—something the conceptual framework of mental images utterly fails to accomplish. In this paper I argue against Husserl’s reliance on mental images in his phenomenological analyses of imaging and imagining and propose an alternative structural account for both. This account is free of this reliance and able to steer clear of its insidious implications for epistemology, aesthetics, and methodological reflections. By closely following the development of Husserl’s account I suggest alternative descriptions while building on Husserl’s important work. (shrink)

A common way to understand memory structures in the cognitive sciences is as a cognitive map​. Cognitive maps are representational systems organized by dimensions shared with physical space. The appeal to these maps begins literally: as an account of how spatial information is represented and used to inform spatial navigation. Invocations of cognitive maps, however, are often more ambitious; cognitive maps are meant to scale up and provide the basis for our more sophisticated memory capacities. The extension is not meant (...) to be metaphorical, but the way in which these richer mental structures are supposed to remain map-like is rarely made explicit. Here we investigate this missing link, asking: how do cognitive maps represent non-spatial information?​ We begin with a survey of foundational work on spatial cognitive maps and then provide a comparative review of alternative, non-spatial representational structures. We then turn to several cutting-edge projects that are engaged in the task of scaling up cognitive maps so as to accommodate non-spatial information: first, on the spatial-isometric approach​ , encoding content that is non-spatial but in some sense isomorphic to spatial content; second, on the ​ abstraction approach​ , encoding content that is an abstraction over first-order spatial information; and third, on the ​ embedding approach​ , embedding non-spatial information within a spatial context, a prominent example being the Method-of-Loci. Putting these cases alongside one another reveals the variety of options available for building cognitive maps, and the distinctive limitations of each. We conclude by reflecting on where these results take us in terms of understanding the place of cognitive maps in memory. (shrink)

‘Space does not exist fundamentally: it emerges from a more fundamental non-spatial structure.’ This intriguing claim appears in various research programs in contemporary physics. Philosophers of physics tend to believe that this claim entails either that spacetime does not exist, or that it is derivatively real. In this article, I introduce and defend a third metaphysical interpretation of the claim: reductionism about space. I argue that, as a result, there is no need to subscribe to fundamentality, layers of reality and (...) emergence in order to analyse the constitution of space by non-spatial entities. It follows that space constitution, if borne out, does not provide empirical evidence in favour of a stratified, Aristotelian in spirit, metaphysics. The view will be described in relation to two particular research programs in contemporary physics: wave function realism and loop quantum gravity. (shrink)

A well-known trilemma faces the interpretation of Kant’s theory of affection, namely whether the objects that affect us are empirical, noumenal, or both. I argue that according to Kant, the things that affect us and cause representations in us are not empirical objects. I articulate what I call the Causal Power Argument, according to which empirical objects cannot affect us because they do not have the right kind of power to cause representations. All the causal powers that empirical objects have (...) are moving powers, and such powers can only have spatial effects. According to Kant, however, the representations that arise in us as a result of the affection of our sensibility are non-spatial. I show that this argument is put forward by Kant in a number of passages, and figures as a decisive reason for rejecting empirical affection and instead endorsing affection by the things in themselves. (shrink)

The technological virtual converges with our contemporary existence in a multitude of ways, which suggests a need to interrogate the question of the virtual existentially. Merleau-Ponty’s existential phenomenological account of embodiment is invaluable in this regard because the virtual is encountered from the basis of the facticity of the embodied individual – a facticity that is closely related to perception and motor intentionality. The current article argues that these characteristics of the body-subject should be taken into consideration in order to (...) develop a clearer description of the virtual. However, beyond an embodied account that relates to early technologies, Merleau-Ponty also presents through his concept of the flesh a novel avenue for the ontological investigation of the virtual. The flesh describes the intertwining of the body-subject and the world, which is suggestive of a new account of the individual’s sensibility in relation to the virtual. An original concept is suggested to describe the existential-ontological structure of the virtual: The embodied screen. The embodied screen as neologism presents an alternative conceptualisation of the coincidence of the body-subject (who understands the world spatially) with the virtual (as non-spatial). By tracing imaginative signification and embodied habitude in terms of the virtual, this article suggests certain existential implications of the virtual for contemporary being. (shrink)

I argue that, for Kant, there is a point at which the notions of self-consciousness and self-limitation become one. I proceed by spelling out a logical progression of forms of self-consciousness in Kant’s philosophy, where at each stage we locate the limits of the capacity in question and ask what it takes to know those limits. After briefly sketching a notion of self-consciousness available even to the animal, we look at whether there could be a notion of self-consciousness available to (...) the capacity of human sensibility. At this stage I argue that Kant and Heidegger (or Heidegger’s Kant) share a conception of what it is to be self-limiting through self-consciousness. I then critically examine this conception, and, specifically, the way in which it fails to account for the most essential form of self-limitation in Kant’s critical philosophy—namely, the form of self-limitation which rejects spatial and temporal articulation. The conclusion we reach is that Kant’s theory of transcendental self-consciousness is a theory of the activity of thinking as determining itself (including its limits) non-spatially and non-temporally. (shrink)

The Renaissance architect, moral philosopher, cryptographer, mathematician, Papal adviser, painter, city planner and land surveyor Leon Battista Alberti provided the theoretical foundations of modern perspective geometry. Alberti’s work on perspective exerted a powerful influence on painters of the stature of Albrecht Dürer, Leonardo da Vinci and Piero della Francesca. But his Della pittura of 1435–36 contains also a hitherto unrecognized ontology of pictorial projection. We sketch this ontology, and show how it can be generalized to apply to representative devices in (...) general, including maps and spatial and non-spatial databases. (shrink)

The aim of this paper is to give a description of the objects of the sense of touch. Those objects, it is argued, are forces, rather than flesh deformation, solidity or weight. Tangible forces, basically tensions and pressures, are construed as symmetric and non-spatially reducible causal relations. Two consequences are drawn: first, the perception of heat and cold falls outside the sense of touch; second, muscular sense (together with a large part of proprioception) falls inside the sense of touch.

ABSTRACT The technological virtual converges with our contemporary existence in a multitude of ways, which suggests a need to interrogate the question of the virtual existentially. Merleau-Ponty’s existential phenomenological account of embodiment is invaluable in this regard because the virtual is encountered from the basis of the facticity of the embodied individual – a facticity that is closely related to perception and motor intentionality. The current article argues that these characteristics of the body-subject should be taken into consideration in order (...) to develop a clearer description of the virtual. However, beyond an embodied account that relates to early technologies, Merleau-Ponty also presents through his concept of the flesh a novel avenue for the ontological investigation of the virtual. The flesh describes the intertwining of the body-subject and the world, which is suggestive of a new account of the individual’s sensibility in relation to the virtual. An original concept is suggested to describe the existential-ontological structure of the virtual: The embodied screen. The embodied screen as neologism presents an alternative conceptualisation of the coincidence of the body-subject (who understands the world spatially) with the virtual (as non-spatial). By tracing imaginative signification and embodied habitude in terms of the virtual, this article suggests certain existential implications of the virtual for contemporary being. (shrink)

We review the history of the philosophy of fondue since Aristotle so as to arrive at the formulation of the paradox of Swiss fondue. Either the wine and the cheese cease to exist (Buridan), but then the fondue is not really a mixture of wine and cheese. Or the wine and the cheese continue to exist. If they do, then either they continue to exist in different places (the chemists), but then a fondue can never be perfectly homogenous (it is (...) a French fondue). Or the wine and the cheese continue to exist in the same place (the Stoïcs), but then wine and cheese have to be, oddly, penetrable and spatially expansible. Aristote attempted to solve this paradox by arguing that the cheese and wine continue to exist, but only potentially in the fondue. We sketch an alternative answer. The wine and the cheese continue to exist, but only non-spatially in the fondue. Wine and cheese, once mixed, become non-spatial constituents of the fondue, a bit like character traits are non-spatial constituents of persons. The wine and the cheese are in the fondue, but only the fondue is there in the fondue pot. (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 may be tempted to compare physicalist attempts to understand consciousness with 18th century attempts to understand electricity. This may make us think that the former too though initially mysterious will ultimately be brought within the physicalist fold. But there’s a crucial disanalogy between the two: ‘What is consciousness?’ can be interpreted as two distinct questions: ‘What causes consciousness?’ And ‘what is it to be conscious?’ ‘What is electricity?’ can only be interpreted as ‘What causes electricity?’, ‘What is it to (...) be electricity?’ being meaningless. Maybe physicalists have gotten so used to explaining phenomena where only the one question is applicable that they, I think erroneously dismiss those who entertain the other question. But the blame is not all one way. Those who entertain the ‘what is it to be conscious?’ question, think that because there is no physicalist answer to that question, therefore there must be a gap in the physicalist answer to the ‘what causes consciousness?’ question, a gap they try, like our friend here, to fill by postulating non-spatial things. Needless to say, these things don’t answer either question. (shrink)

Standard theories in mereotopology focus on relations of parthood and connection among spatial or spatio-temporal regions. Objects or processes which might be located in such regions are not normally directly treated in such theories. At best, they are simulated via appeal to distributions of attributes across the regions occupied or by functions from times to regions. The present paper offers a richer framework, in which it is possible to represent directly the relations between entities of various types at different levels, (...) including both objects and the regions they occupy. What results is a layered mereotopology, a theory which can handle multiple layers (analogous to the layers of a lasagna) of spatially or spatiotemporally coincident but mereologically non-overlapping entities. (shrink)

We propose a new account of vagueness and approximation in terms of the theory of granular partitions. We distinguish different kinds of crisp and non-crisp granular partitions and we describe the relations between them, concentrating especially on spatial examples. We describe the practice whereby subjects use regular grid-like reference partitions as a means for tempering the vagueness of their judgments, and we demonstrate how the theory of reference partitions can yield a natural account of this practice, which is referred to (...) in the literature as ‘approximation’. (shrink)

The hard problem – focusing essentially on vision here – is in fact the problem of the origin of our image of the external world. This formulation in terms of the “image” is never seen stated, for the forms populating our image of the world are considered computable, and not considered qualia – the “redness” of the cube is the problem, not the cube as form. Form, however, cannot be divorced from motion and hence from time. Therefore we must examine (...) the classical, spatial metaphysic of space and time, for practical purposes initiated by Galileo, wherein the real has been equated with the quantitative and wherein quality has been stripped from the material world. In this metaphysic, which sees form as quantitative or computable, the origin of qualia is problematic, with a problem of even greater primacy becoming the “memory” that supports the transforming events of perception, e.g., rotating cubes, buzzing flies, twisting leaves. It is this memory, supporting time-extended, flowing events, that necessarily supports all qualia. The concept of storage of “snapshots” of time-flowing events, a notion which the classic metaphysic engenders, is unworkable as a solution to the perception of these flows. Form, in fact being dynamic and defined over flowing fields, equally is a quality, equally requires this memory, and since forms populate the image, the origin of the entire image is indeed a problem. The counter-proposal becomes Bergson’s temporal metaphysic wherein motion is indivisible (or non-differentiable), the global motion of the universal field itself then carrying an intrinsic form of memory. In this framework, with this field viewed as holographic, Bergson provides a unique solution – one that leaves the problem of representation behind – as to how the brain specifies the qualitative image of the dynamically transforming external world. (shrink)

There are two main approaches within classical cognitive science to explaining how humans can entertain mental states that integrate contents across domains. The language-based framework states that this ability arises from higher cognitive domain-specific systems that combine their outputs through the language faculty, whereas the language-independent framework holds that it comes from non-language-involving connections between such systems. This article turns on its head the most influential empirical argument for the language-based framework, an argument that originates from research on spatial reorientation. (...) I make the case that neuroscientific findings about spatial reorientation in rodents and humans bolster the language-independent framework instead. (shrink)

However robust the mind's cognitive strategies of objectifying and rendering in object terms conscious experience, there is nevertheless that which resists object/substantivity categorization: an exteriority that comes out of perception itself and that is here termed the 'background '. In seeking out, in this inquiry, the non- objectified and non-thingness part of the observed world, we must first of all distinguish this background from such misrepresenta- tions as mere 'seeming '. The background -- while not thing-like or detectable as data (...) will be defended as existing concretely and empirically to the observer, notwithstanding our objectifying and substantive way of framing our understanding of the world. It will be shown to have verifiability despite being knowable only from the first-person perspective. The aim is to demonstrate its presence by way of a number of its features, and to show that far from being a mere subjective quality, it stands as real as do spatial objects or whatever arises spatially as a discretizable information source in the empirical world. (shrink)

Ideas for explaining the mechanism of gravity involving the expansion of matter have been proposed several times since the 1890’s. Due to their radical nature and other reasons, these ideas have not gotten much attention. Another essential feature needed to augment the viability of the model proposed here---even more important than matter expansion---is that of space generation. I.e., the production of space by matter, involving motion into or outfrom a fourth spatial dimension. An experiment is proposed whose result would unequivocally (...) either falsify the model or support it. Analyses of star cluster velocity dispersions suggest that some support already exists. The simplest, most definitive way to test the model is to build and operate an apparatus that may be called a Small Low-Energy Non-Collider. Essentially the same experiment was proposed by Galileo in 1632. We are way overdue to at last bring to fruition this idea put forth by the Father of Modern Science so long ago. (shrink)

Here are considered the conditions under which the method of diagrams is liable to include non-classical logics, among which the spatial representation of non-bivalent negation. This will be done with two intended purposes, namely: a review of the main concepts involved in the definition of logical negation; an explanation of the epistemological obstacles against the introduction of non-classical negations within diagrammatic logic.

Material things have material (spatial) parts. Acts, events, occurrences, have phases, which we can view as their temporal parts. Spatial surfaces and volumes, stretches of time, they all have parts again; they can all be considered "extended". Entities, on the other hand, such as directions, numbers, temperatures, colors, tones, fictional characters, prices, numbers, values, ideologies, goals, are all unextended; they are partless. Let us call such non-extended objects “nodes”, in order to express the fact that we have a tendency to (...) grasp them as pure correlates of our thinking, often at the same time viewing them effectively as placeholders within systems of coordinates in various intellectual and social domains. My aim, here, is to clarify this rough idea of “node” for the purpose of providing a corresponding clarification of Ingarden's idea of a purely intentional object. I first consider purely intentional objects in general, and then focus in particular on fictional examples. (shrink)

The relative merits of standard mereology have received quite a bit of attention in recent years from metaphysicians concerned with the part/whole properties of material objects. A question that has not been pursued to the same degree, however, is what sort of semantic repercussions a commitment to mereological sums in the standard sense might have in particular on the predicted behavior of singular terms and our practices of using such terms to refer to objects. The apparent mismatch between our actual (...) referential practices and the persistence conditions attributed to material objects by the supporters of standard mereology puts these philosophers, other things being equal, at a disadvantage compared to those whose ontology matches more closely the observed behavior of singular terms, as they are commonly used in ordinary discourse. To alleviate this problem, David Lewis leans heavily on his distinction between natural and non-natural properties. I argue in this paper that Lewis’ already heavily burdened natural/non-natural distinction among properties is not enough to avoid Quinean indeterminacy for singular terms. Those who are in the business of giving an analysis of constructions involving full-fledged predication, as opposed to the mere spatial overlap of denotations, will thus want to go in for an ontology that places more stringent structural constraints on the referents of singular terms than would be supplied by standard mereology. (shrink)

I am aware of the red and orange autumn leaves. Am I aware of my awareness of the leaves? Not so according to many philosophers. By contrast, many meditative traditions report an experience of awareness itself. I argue that such a pure awareness experience must have a non-sensory phenomenal character. I use Douglas Harding’s first-person experiments for assisting in recognising pure awareness. In particular, I investigate the gap where one cannot see one’s head. This is not a mere gap because (...) I seem to be looking from here. Critically, I claim, the experience of looking from here has a non-sensory phenomenal character. I argue that this sense of being aware cannot be reduced to egocentric visual-spatial relations nor the viewpoint because it continues when I close my eyes. Neither is a multisensory origin sufficient to explain why I seem to be at this central point rather than elsewhere. Traditionally, claims of a pure awareness experience have been restricted to highly trained individuals in very restricted circumstances. The innovation of Harding’s approach is that it reliably isolates a candidate for pure awareness using methods which can be replicated at any time. (shrink)

The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...) obtaining of certain other facts about entities of the trope theoretical category system. Moreover, I show that the analysis can deal with asymmetric and non-symmetric relations by assuming that all relation-like tropes are quantities. Finally, I provide an account of the spatial location of tropes in the difficult case in which tropes contribute to determining of the location of other entities. (shrink)

The goal of this paper is to develop a systematic taxonomy of cognitive artifacts, i.e., human-made, physical objects that functionally contribute to performing a cognitive task. First, I identify the target domain by conceptualizing the category of cognitive artifacts as a functional kind: a kind of artifact that is defined purely by its function. Next, on the basis of their informational properties, I develop a set of related subcategories in which cognitive artifacts with similar properties can be grouped. In this (...) taxonomy, I distinguish between three taxa, those of family, genus, and species. The family includes all cognitive artifacts without further specifying their informational properties. Two genera are then distinguished: representational and non-representational (or ecological) cognitive artifacts. These genera are further divided into species. In case of representational artifacts, these species are iconic, indexical, or symbolic. In case of ecological artifacts, these species are spatial or structural. Within species, token artifacts are identified. The proposed taxonomy is an important first step towards a better understanding of the range and variety of cognitive artifacts and is a helpful point of departure, both for conceptualizing how different artifacts augment or impair cognitive performance and how they transform and are integrated into our cognitive system and practices. (shrink)

This paper provides a brief introduction to quantum theory and the proceeds to discuss the different ways in which the relationship between quantum theory and mind/consciousness is seen in some of the main alternative interpretations of quantum theory namely by Bohr; von Neumann; Penrose: Everett; and Bohm and Hiley. It briefly considers how qualia might be explained in a quantum framework, and makes a connection to research on quantum biology, quantum cognition and quantum computation. The paper notes that it is (...) widely agreed that conscious experience has dynamical and holistic features. It asks whether these features might in some way be a reflection of the dynamic and holistic quantum physical processes associated with the brain that may underlie (and make possible) the more mechanistic neurophysiological processes that contemporary cognitive neuroscience is measuring. If so, these macroscopic processes would be a kind of shadow, or amplification of the results of quantum processes at a deeper (pre-spatial or "implicate") level where our minds and conscious experience essentially live and unfold. The macroscopic, mechanistic level is of course necessary for communication, cognition and life as we know it, including science; but perhaps the experiencing (consciousness) of that world and the initiation of our actions takes place at a more subtle, non-mechanical level of the physical world, which quantum theory has begun to discover. At the very least a quantum perspective will help a “classical” consciousness theorist to become better aware of some of the hidden assumptions in his or her approach. Given that consciousness is widely thought to be a “hard” problem, its solution may well require us to question and revise some of our assumptions that now seem to us completely obvious. This is what quantum theory is all about – learning, on the basis of scientific experiments, to question the “obvious” truths about the nature of the physical world and to come up with more coherent alternatives. (shrink)

It is natural to assume that the fine-grained and highly accurate spatial information present in visual experience is often used to guide our bodily actions. Yet this assumption has been challenged by proponents of the Two Visual Systems Hypothesis , according to which visuomotor programming is the responsibility of a “zombie” processing stream whose sources of bottom-up spatial information are entirely non-conscious . In many formulations of TVSH, the role of conscious vision in action is limited to “recognizing objects, selecting (...) targets for action, and determining what kinds of action, broadly speaking, to perform” . Our aim in this study is to show that the available evidence not only fails to support this dichotomous view but actually reveals a significant role for conscious vision in motor programming, especially for actions that require deliberate attention. (shrink)

(Updated 5/23/24) This unpublished paper, which readers should feel free to cite, is posted primarily for the historical record. In recent work that has, deservedly, received some attention, Paul R. Daniels presents and defends a non-standard theory of persistence that he dubs transdurantism, according to which persisting objects are temporally extended simples. This is exactly what I do in work dating back to Spring 2004. (This work includes this version of this paper, as well as later version that was presented (...) to the University of Rochester's Philosophy Department in 2005.) While this might be a total coincidence, I doubt that it is, especially given that 'transdurantism' appears as a name for a theory of persistence associated with me in at least two places in the literature, one of which includes a citation of this paper. The paper begins with a discussion of what I call 'locative relations' (the relations borne by material objects to the regions of space and time they occupy), which draws relevant distinctions that others have failed to draw. The results of this discussion are then used in constructing spatial analogues for the three established theories of persistence--endurantism, perdurantism, and exdurantism--as well as for transdurantism. Next, these four views concerning persistence are explicitly formulated and a defense of their formulation is offered. Finally, transdurantism's advantages and disadvantages relative to the other theories are discussed. The main goal of the paper is to challenge the trichotomy between the established theories by arguing that transdurantism is also a viable view concerning persistence through time. [Note: Befitting its status as a historical document, with the exception of some light editing to fix typos that might impede understanding, no changes have been made to the paper.]. (shrink)

The concept of a physical object has figured prominently in the history of philosophy, and is probably more important now than it has ever been before. Yet the question What are physical objects?, i.e., What is the correct analysis of the concept of a physical object?, has received surprisingly little attention. The purpose of this paper is to address this question. I consider several attempts at answering the question, and give my reasons for preferring one of them over its rivals. (...) The account of physical objects that I recommend---the Spatial Location Account---defines physical objects as objects with spatial locations. The intuitive idea behind the Spatial Location Account is this. Objects from all of the different ontological categories---physical objects; non-physical objects like souls, if there are any; propositions; universals; etc.---have this much in common: they all exist in time. But not all of them exist in space. The ones that exist in time and space, i.e., the ones that have spatial locations, are the ones that count as physical objects. (shrink)