My enquiry will be within the scope of two suppositions. The first is that Space is continuous, not discrete. The second is that we are to adopt realism about either points or regions or both. That does not, however, preclude a choice of categories—substance or property—for these entities. Thus we could think of either regions or points as properties of the things in those regions or at those points. Alternatively, we could think of regions or points as substances which themselves (...) have properties. (shrink)

In this paper I want to show that topology has a bearing on the theory of tropes. More precisely, I propose a topological ontology of tropes. This is to be understood as follows: trope ontology is a „one-category”-ontology countenancing only one kind of basic entities, to wit, tropes. 1 Hence, individuals, properties, relations, etc. are to be constructed from tropes.

Quantum contextuality and its ontological meaning are very controversial issues, and they relate to other problems concerning the foundations of quantum theory. I address this controversy and stress the fact that contextuality is a universal topological property of quantum processes, which conflicts with the basic metaphysical assumption of the definiteness of being. I discuss the consequences of this fact and argue that generic quantum potentiality as a real physical indefiniteness has nothing in common with the classical notions of possibility (...) and counterfactuality, and that also it reverses, in a way, the classical mirror-like relation between actuality and definite possibility. (shrink)

A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures (...) that emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super- and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry’ might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Łukasiewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic ‘asymmetry’ of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics—which is presently unfolding in physics, mathematics, life and cognitive sciences—may be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. (shrink)

Drawing from Andean cosmological, mythological and aesthetic lineages, this paper is about the possibility of a phenomenology of things at catastrophic ends. In this regard, I approach things under the sway of a (de)formative emptiness. In the first part, I develop a relational ontology on the basis of the Andean notion of pacha or cosmos, which provides a phenomenological frame for a determination of “place,” “world” and “topology.” I also contrast an elemental topology of the cosmos configured by (...) ouranic sunlight with an elemental catastrophism that overturns it. In the second part, I study a chronological series of artifacts in an Andean aesthetic lineage in order to attempt a phenomenology of “things” (utensils, buildings, mountains) that “spectrally” hover in overturns of the cosmos (pachakuti). (shrink)

A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures (...) that emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super- and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry’ might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Łukasiewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic ‘asymmetry’ of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics—which is presently unfolding in physics, mathematics, life and cognitive sciences—may be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. (shrink)

We are used to regarding actions and other events, such as Brutus’ stabbing of Caesar or the sinking of the Titanic, as occupying intervals of some underlying linearly ordered temporal dimension. This attitude is so natural and compelling that one is tempted to disregard the obvious difference between time periods and actual happenings in favor of the former: events become mere “intervals cum description”.1 On the other hand, in ordinary circumstances the point of talking about time is to talk about (...) what actually happens or might happen at some time or another. We talk about ‘now’ and ‘then’ in an effort to put some order in our description of what goes on. And since different events seem to overlap in so many different ways, a full account of their temporal relations seems to run afoul of a reductionist strategy. This raises two philosophical questions. The first is whether we can actually go beyond time, as it were, i.e., whether we can take events as bona fide entities and deal with them directly, just as we can deal with spatial entities such as physical bodies or masses without confining ourselves to their spatial representations. This is a controversial issue (though probably not as controversial as it used to be), and ties in with a number of unsettled problems concerning, e.g., the structure of causality or the definition of adequate identity and individuation criteria for events. 2 The second question is whether we can perhaps do without time, i.e., whether we can dispense with time points or intervals as an independent ontological category and focus only on actual or potential happenings, in opposition to the form of reductionism mentioned above—in short, whether we can account for the temporal dimension in terms of suitable relations among events. This is also a highly controversial issue, and relates to the classical dispute concerning relational vs. absolutist conceptions of (space and) time.3 It is this second question that we intend to focus on here.. (shrink)

Recent arguments asserting a topological turn in culture also identify a range of topologically informed interventions in social and cultural theory. Talk of a topological turn evokes both the enduring interest that the field of mathematics presents and the business of analysis in the cultural sphere. This article questions the novelty of this ‘becoming topological of culture’ and digs into a deeper historicity in order to identify the trends that may be said to support the development of topology in (...) the current situation. It also examines the relationship between mathematics considered ontologically and mathematics considered epistemologically, in order to better grasp the significance of the practical abstractions that mathematics as technics manifests. Discussions of Cantor, Russell, Poincaré, Lévi-Strauss, Lacan and others address the background of contemporary mathematical topology. The article goes on to examine Alain Badiou’s principle that mathematics is ontology and concludes with a discussion of the mathematics of Martin Heidegger. (shrink)

In business and government, databases contain large quantities of digital transactional data (purchases made, services used, finances transferred, benefits received, licences acquired, borders crossed, tickets purchased). The data can be understood as ongoing and dynamic measurements of the activities and doings of people. In government, numerous database devices have been developed to connect such data across services to discover patterns and identify and evaluate the performance of individuals and populations. Under the UK’s New Labour government, the development of such devices (...) was part of a broader policy known as ‘joined-up thinking and government’. Analyses of this policy have typically understood joining up as an operation of adding together distributed data about subjects, which can then be used in the service of government surveillance, the database state or informational capitalism. But rather than such technical or managerialist analytics, I argue that topological analytics capture what these database devices enact and do: they materialize the ‘individuality’ of subjects in intensified, distributed and fluctuating ways and materialize and intensify a logic of what Deleuze describes as modulating controls. Through examples of UK New Labour social policy initiatives over the past decade, I argue that topological analytics can account for these as immanent rather than exceptional properties of database devices and, as such, part and parcel of a governmental logic and ontology of subjects. (shrink)

The aim of this paper is to show that topology has a bearing on<br><br>combinatorial theories of possibility. The approach developed in this article is “mapping account” considering combinatorial worlds as mappings from individuals to properties. Topological structures are used to define constraints on the mappings thereby characterizing the “really possible” combinations. The mapping approach avoids the well-known incompatibility problems. Moreover, it is compatible with atomistic as well as with non-atomistic ontologies.It helps to elucidate the positions of logical atomism and (...) monism with theaid of topological separation axioms. (shrink)

Starting from Poincaré’s assignment of an algebraic object to a topological manifold, namely the fundamental group, this article introduces the concept of categories and their language of arrows that has, since their mid-20th-century inception, altered how large areas of mathematics, from algebra to abstract logic and computer programming, are conceptualized. The assignment of the fundamental group is an example of a functor, an arrow construction central to the notion of a category. The exposition of category theory’s arrows, which operate at (...) three distinct but deeply interconnected levels, is framed by a comparison with the language and outlook of set theory founded on the concept of membership; sets and their theorization having provided, famously through the Bourbaki initiative, the basic ontological and epistemological vocabulary for defining and handling all mathematical entities. The comparison with sets emphasizes how categories offer a form of diagrammatic argument and thought against set theory’s fidelity to syntax-based proofs; how categories invert set theory’s priority of objects and their attributes over relations by making the relations of an object to others of its kin primary; and how categories replace identity, that is, equality, between objects, by the weaker notion of isomorphism, restricting equality to identity between arrows. The article concludes with a return to topology and some remarks about the question of its possible use in articulating/characterizing cultural dynamics. (shrink)

Irigaray’s engagement with Aristotelian physics provides a specific diagnosis of women’s ontological and ethical situation under Western metaphysics: Women provide place and containership to men, but have no place of their own, rendering them uncontained and abyssal. She calls for a reconfiguration of this topological imaginary as a precondition for an ethics of sexual difference. This paper returns to Aristotelian cosmological texts to further investigate the topologies of sexual difference suggested there. In an analysis both psychoanalytic and phenomenological, the (...) paper rigorously traces a teleological and oedipal narrative implicit in the structure of the Aristotelian cosmos, in which desire for the mother is superseded by love for the father. Further, the paper argues that this narrative is complicated by certain other elements in the Aristotelian text—aporias involving the notion of boundary and the relationship between space and time, the fallenness of the feminine, and the ineliminably aleatory qualities of matter. The paper concludes that such elements may provide material for disrupting this teleology of gender, opening onto not merely an ethics of sexual difference, but providing space and place for a proliferation of non-normative, queer, transgender and intersex modes of sexed and gendered subjectivity. (shrink)

Braddon-Mitchell and Miller put forward the claim that the relation of being-the-same-person is gradable: a person can be the same person tomorrow as today, but only half the same. To justify their thesis, they propose a model of persons that is intended to be metaphysically neutral. This article sets out to show that such a model implicitly contains strong metaphysical assumptions that run contrary to the authors’ own statements. Using Roman Ingarden’s phenomenological ontology, we aim to demonstrate that within the (...) model in question persons exist intentionally, where this leads to a caricature rather than an adequate account of persons. In opposition to Braddon-Mitchell and Miller, we argue that the justification presented for the thesis of the gradability of the relation of being-the-same-person in fact makes it reasonable to demand that an adequate model of persons be posited. We present Kurt Lewin’s holistic topological-dynamic model, and show that in this context it is not being-the-same-person that is gradable, but rather the characteristic (of persons) that is dimension. Thus, we reject the thesis of the gradability of the relation of being-the-same-person involved in personal identity. (shrink)

This article examines the use of mathematical concepts in philosophy, focusing on topology, which may be viewed as a modern supplement to geometry. We show that Plato and Parmenides were already employing geometric ideas in their research, and discuss three examples of the application of topology to philosophical problems: the first concerns the analysis of the Cartesian distinction between res extensa and res cogitans, the second the ontology of possible worlds of Wittgenstein's Tractatus, and the third Leibniz's monadology. (...) We also consider the role of topology in mathematical explanations of the sort found in science, arguing that it can perform a role in philosophy that is of comparable importance. (shrink)

I shall attempt in what follows to show how mereology, taken together with certain topological notions, can yield the basis for future investigations in formal ontology. I shall attempt to show also how the mereological framework here advanced can allow the direct and natural formulation of a series of theses – for example pertaining to the concept of boundary – which can be formulated only indirectly (if at all) in set-theoretic terms.

An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in (...) the first two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered. (shrink)

This paper is concerned with certain ontological issues in the foundations of geographic representation. It sets out what these basic issues are, describes the tools needed to deal with them, and draws some implications for a general theory of spatial representation. Our approach has ramifications in the domains of mereology, topology, and the theory of location, and the question of the interaction of these three domains within a unified spatial representation theory is addressed. In the final part we (...) also consider the idea of non-standard geographies, which may be associated with geography under a classical conception in the same sense in which non-standard logics are associated with classical logic. (shrink)

This book addresses issues connected with political, ontological, existential, and spiritual borders that define our being-in-common. Engaging with various debordering practices relating to migration, the media, hospitality, and the more than human world, it is a timely contribution to contemporary philosophical, political, and social studies.

The premise of this paper is that the goal of signifying Being central to ontological phenomenology has been tacitly subverted by the semiotic structure of conventional phenomenological writing. First it is demonstrated that the three components of the sign—sign-vehicle, object, and interpretant (C. S. Peirce)—bear an external relationship to each other when treated conventionally. This is linked to the abstractness of alphabetic language, which objectifies nature and splits subject and object. It is the subject-object divide that phenomenology must surmount (...) if it is to signify Being. To this end, we go beyond alphabetic convention and explore the use of iconic signs. Following the lead of Merleau-Ponty, the iconic expression of Being is seen as entailing paradox, and we are directed to the fields of visual geometry and topology, where we work with three paradoxical figures: the Necker cube, Moebius strip, and Klein bottle. While the Necker cube and Moebius prove to have their limitations in fully signifying Being, the Klein bottle, possessing an added dimension (made palpable via a stereogram), can embody Being more intimately, provided that it is approached in a radically non-classical way. The essay closes with the realization that the most concrete signification of Being must be a self-signification. Here the author removes his cloak of anonymity and makes his presence tangibly felt in the text. (shrink)

The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which (...) is an essential part of both Tom and Dick, and also “individual relations”, such as Tom’s promise to Dick, or their current handshake. (shrink)

An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in (...) the first two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered. (shrink)

An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in (...) the first two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered. (shrink)

Several authors have suggested that a more parsimonious and conceptually elegant treatment of everyday mereological and topological reasoning can be obtained by adopting a spatial ontology in which regions, not points, are the primitive entities. This paper challenges this suggestion for mereotopological reasoning in two-dimensional space. Our strategy is to define a mereotopological language together with a familiar, point-based interpretation. It is proposed that, to be practically useful, any alternative region-based spatial ontology must support the same sentences in our language (...) as this familiar interpretation. This proposal has the merit of transforming a vague, open-ended question about ontologies for practical mereotopological reasoning into a precise question in model theory. We show that (a version of) the familiar interpretation is countable and atomic, and therefore prime. We conclude that useful alternative ontologies of the plane are, if anything, less parsimonious than the one which they are supposed to replace. (shrink)

This essay critically develops Watsuji’s nondual ontology of the self. Watsuji shows that the self is constituted by its relational contact with others and by its immersion in a wider geo-cultural environment. Yet Watsuji himself had difficulty in smoothly bringing together and integrating these notions. By showing how these domains work together to constitute the self, I bring into view the unity at the ground of Watsuji’s thought and the implications of this account for key ideas in Heidegger’s philosophy and (...) for environmental ethics. (shrink)

An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in (...) the first two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered. (shrink)

Possibility and reference have been central topics in metaphysics and the philosophy of language in the past decades. Wolfgang Freitag’s Form and Philosophy provides a novel approach to these notions and their interrelations, based on the concept of form as the key modal concept: form is the possibility space of objects. In its historic dimension, the book analyses the role of form in Ludwig Wittgenstein’s Tractatus Logico-Philosophicus and Immanuel Kant’s Critique of Pure Reason. In its systematic dimension, the book offers (...) an alternative ontological basis to David Armstrong’s combinatorial theory of possibility and rejects David Lewis’ analysis of possibility in terms of possible worlds. Representation is shown to rest on the idea of direct reference as proposed by David Kaplan and Saul Kripke. It is argued that the problem of reference links up with Wittgenstein’s rule-following problem, the nature of which is extensively discussed. It emerges that form and reference are complementary with respect to the notion of representation. Once their individual roles are seen, many metaphysical puzzles appear in a new light or disappear altogether. (shrink)

A critical survey of the fundamental philosophical issues in the logic and formal ontology of space, with special emphasis on the interplay between mereology (the theory of parthood relations), topology (broadly understood as a theory of qualitative spatial relations such as continuity and contiguity), and the theory of spatial location proper.

The ‘mathematical imaginary’ at work in psychology is central to the contingent history of the discipline, but is also responsible for considerable confusion and ambiguity around the ontological assumptions of psychological theories and models. Rather than reject the mathematical altogether, this article argues for an alternative form of mathematical description in psychology through the use of topology. Drawing on DeLanda’s topological account of the virtual, the relationship between psychology and ontology is progressively questioned in relation to memory. Henri (...) Bergson’s conception of duration and the pure past is juxtaposed with the topological psychology of Kurt Lewin and its notion of life space as a manifold with n-dimensions. Using a diagrammatic strategy developed by Mullarkey, an actualist account of the virtual is used to hold these distinct bodies of work together. Psychological events may be given a ‘thick description’ through the identification of topological relations and invariants. The interplay between the actual entities that are afforded in experience can be seen to be virtualized as planes of irreality. A topological approach to psychology offers the opportunity of replacing the taxonomy of essences common to the discipline with a dynamic account of invariance through homeomorphism. (shrink)

Time appears to us to pass. Some philosophers think that we should account for these experiences by appeal to change in what there unrestrictedly is . I argue that such an appeal can only be the beginning of an account of passage. To show this, I consider a minimal type of view—a purely topological view—that attempts to account for experiences as of passage by an appeal to ontological change and topological features of the present. I argue that, if (...) class='Hi'>ontological change is needed to account for our experiences as of passage, then there are other features of our experiences as of passage that a purely topological view does not have the resources to explain. These features include the implacability of time’s passage, the orderliness of time’s passage, and the impossibility of a having a past that was never present. (shrink)

There are at least two passages in the jamesian corpus where he seems to establish a topology of "regional ontologies", or to set up multiple "language games". the first of these is "the principles of psychology" when he talks about "the many worlds", or "...sub-universes commonly discriminated from each other...", the second is in "pragmatism", where he notes that there "are...at least three well-characterized levels, stages, or types of thought about the world we live in..." two questions immediately come (...) to mind about these levels. first, is each of these areas of equal importance, epistemologically and ontologically speaking? second, how, if at all, are these regional areas related to each other? each of these questions has a seemingly obvious answer. to wit, the world of perception is more important than any of the other areas; and second, the regional areas are related in terms of the disjunctive and conjunctive transitions which james so strenuously upholds, resulting in an overall "concatenated" picture. i argue that both of these responses are insufficient, and that the issue is more complicated than it first appears. (edited). (shrink)

The purpose of this paper is to analyze the theoretical commitments of autopoietic enactivism in relation to Errol E Harris’s dialectical holism in the interest of establishing a common metaphysical ground. This will be undertaken in three stages. First, it is argued that Harris’s reasoning provides a means of developing enactivist ontology beyond discussions limited to cognitive science and into domains of metaphysics that have traditionally been avoided by phenomenologists. Here, I maintain enactivist commitments are consistent with Harris’s reasoning from (...) certain synthetic a priori first principles, to his derivation of a teleological anthropic principle, which asserts the necessity of consciousness within the cosmos. Second, it is proposed that Steven Rosen’s long-standing proposal for a topology of phenomenology may provide a common logical foundation for both Harris and enactivists regarding anthropic reasoning. Third, it is argued that a pragmatic approach to process ontology is the most rigorous way of responding to the realism/anti-realism concerns that inevitably follow. If successful, this work will update Harris’s arguments with contemporary scientific and philosophical terminology and extend enactivism from philosophy of mind, into a general phenomenological ontology. (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.

The article “The Home and the Robot: An Onto-topological Attempt” views the idea of proliferation of hybrids within contemporary domestic spaces due to technological innovations such as Alexa, Siri, home robots etc. It focuses on Musk’s symptomatic project called “Optimus” which is a home robot developed for helping with boring and tiresome everyday chores around the house and thus a key example for exploring the paradoxes within the ideas of homeliness and atmosphere considered as kernels in creating a private and (...) intimate space, i.e., a home. Drawing on Luce Irigaray’s critique of Heideggerian ontology, Sloterdijk’s onto-topological project and Latour’s hybrids, the article sees the proliferation of hybrids as a way for tackling these paradoxes and how they influence contemporary subjectivity and one of its key spaces of articulation – the home. The basic problem which the article tries to elucidate is the forgetting of atmosphere in the creation and care for contemporary dwellings. А forgetting expressed precisely by the “becoming smart” of contemporary homes through apps and robots. However, the article’s problem does not come from technological paranoia, but from a need to articulate certain limits of technology and to mark conceptual trajectories that must be accounted for when innovating the spaces of subjectivity. (shrink)

The emergence of the new information economy hascomplicated jurisdictional issues in commerce andcrime. Many of these difficulties are simplyextensions of problems that arose due to other media.Telephones and fax machines had already complicatedjurists'' determinations of applicable laws. Evenbefore the Internet, contracts were often negotiatedwithout any face-to-face contact – entirely bytelephone and fax. Where is such a contractnegotiated? The answer to this question is critical toany litigation that may arise over such contracts. Thelaws of contract are often quite different from onejurisdiction (...) to the next.The Internet has brought with it new forms ofcommunication which make determining the loci of actseven more complicated. Where are contracts negotiatedwhen they are negotiated in cyberspace? Business isbeing conducted in chat rooms, on web sites, andthrough e-mail. Each of these is technically distinctfrom telephones and fax machines. More importantly,these tools seem ontologically different, in varyingdegrees, from traditional methods of communication.The question is, are these ontological differencessufficient to warrant new legal notions ofjurisdiction in cyberspace?Only a thorough ontological analysis of the parts ofcyberspace and acts ``in'''' it can reveal the answers tothe legal questions posed by this new medium.Traditional legal analyses have relied, in part, on acrude legal ontology. That is, courts have grappledwith notions of the topology and mereology of theworld and legal objects when considering questions ofjurisdiction. There is a simpler, theoretically soundmethod for determining legal jurisdiction which isbased upon the notion of ``purposeful direction,'''' andwhich treats computer-mediated transactions as justanother form of communication. I will explore thatmethod below. (shrink)

In the poetics of Gaston Bachelard, the natural images, especially the four elements (fire, water, air, earth), occupy the eminent place for literary imagination. Under this main frame, this paper tries to present the relation of ethics and aesthetics in focusing on the ethical image as a synthetic concept. It also argues that the poetic imagination in Bachelard presupposes a metaphysical base managing the being, the force, the will, and the action. There is a dynamic structure in this metaphysics of (...) imagination. Notwithstanding the usual separation of different spheres in philosophy, Bachelard urges a primary fusion in the cosmic scale, i.e.the world and the human are communicative and correspondent. Taking these principles into consideration, this paper explores the topological dimension in those poetic images of elements and space. The ontological sense of being-there is evaluated by the dynamic function of “there” in restoring its ethical meaning. Likewise, the terms “in front of the fire”, “before the water”, “in the water” are given the topological accents. The verticality indicating the dynamic function of the flight, of the falling, and of standing upright is topologically effective. In accordance to the verticality, the concept of survival contains an effect of surpassing the existential conditions, the prefix “sur-“ means that tentative of the higher degree. In sum, the cosmicity as the very place of ethical and ontological unificationreveals Bachelard’s concern on the imaginative transformation of the personality, the appropriation in the cosmos. (shrink)

In this article I want to continue the characteristics of philosophical methods specific to analytical philosophy, which were and are important for Professor Jan Woleński. So I refer to his work on the methods of analytical philosophy, but I also point out a few new methods that have grown up in the climate of studies of philosophers, especially analytical ontologists. I will therefore describe the following methods: generalization, specialization, formalization, de-formalization and topological hermeneutics. Instead of the term “method” I use (...) interchangeably the terms “operation” or “procedure”. I will show that each of these operations makes an important contribution to ontological investigations, and, in particular, to formal ontology. (shrink)

On 30 March 2020, the Hungarian parliament approved emergency measures in response to the Covid-19 pandemic, granting prime minister Viktor Orbán the power to rule by decree. The very next day, the government repealed the legal recognition of transgenderism, ruling that assignations of biological sex are binary and permanent. The decision to place sexual difference under house arrest during a time of lockdown was not coincidental. As I argue in this short essay, Orbán’s move was itself a kind of assignation, (...) an act of discursive placing designed to eradicate transgenderism under the name of immunisation. -/- Drawing on Derrida’s motifs of the gift and the dance, I offer a topology of birthsex, the ontological category produced by Orbán’s law of immutable, dichotomous sexual dimorphism. I observe the movements of ipseity to show how Orbán’s placement of the birthsex legislation within his pandemic programme enabled him to define transgenderism as a dangerous and foreign illness that requires an immunising response. Finally, to consider the racial and colonial context of this assault on trans, intersex, and nonbinary lives, I turn to María Lugones and her work on the coloniality of gender, finding her choreography of resistance to be in step with Derrida’s. (shrink)

In this work, we develop and propose an ontological formal definition of time, based on a topological analysis of the formal mathematical description of time, coming from approaches to both quantum theories and Relativity; thus, being compatible with all physical epistemological theories. We find out a mathematical topological invariability, thus establishing a rigorous definition of time, as fundamental generic magnitude. Very preliminary analysis of physical epistemology is provided; likely highlighting a path towards a final common vision between Quantum and (...) Cosmology ontology and human feeling of time. (shrink)

This paper will address the question of the revolution in Gilles Deleuze's political ontology. More specifically, it will explore what kind of person Deleuze believes is capable of bringing about genuine and practical transformation. Contrary to the belief that a Deleuzian programme for change centres on the facilitation of ‘absolute deterritorialisation’ and pure ‘lines of flight’, I will demonstrate how Deleuze in fact advocates a more cautious and incremental if not conservative practice that promotes the ethic of prudence. This will (...) be achieved in part through a critical analysis of the dualistic premises upon which much Deleuzian political philosophy is based, alongside the topological triads that can also be found in his work. In light of this critique, Deleuze's thoughts on what it is to be and become a revolutionary will be brought into relief, giving rise to the question: who really is Deleuze's nomad, his true revolutionary or figure of transformation? (shrink)

This treatise delves into the construction and formalization of a precise theory to encapsulate a pivotal facet of Thomas Aquinas’s ontology. In particular, it focuses on the development of a formal language that is adequate for formulating Aquinas’s understanding of the simultaneous nature of divinity as both an object of subsistence and a universal, individual, and actuating form—a concept evocative of the original Platonic sense of form. The presented axiomatized theory as a medium for expounding the ontological principles enunciated (...) by Thomas Aquinas. A comprehensive set of axioms is systematically justified, exhibiting their congruence with Aquinas’s ontological doctrines. To elucidate this harmony, an extensive series of theorems is deduced, closely aligned with the verbal tenets of Aquinas’s teachings. The inherent consistency of the axiom system is proven by the provision of a geometrico-topological model tailored to support it. (shrink)

This paper examines the connection between Kierkegaard’s philosophy of existence and Graham Harman’s object-oriented ontology. The claim is that Harman’s position provides a conceptual apparatus that can beneficially address some basic ontological points in Kierkegaard about actuality, the self and the reality of individual subsisting mind-independent entities. On the other hand, Kierkegaard’s emphasis on the human self as a place situated in existence can provide a supplement to Harman’s realism which implicitly relies on topological notions. If we define an (...) entity, in a broad sense of the term, as something in its own right irreducible to its being-in-a-relation, but we do not want to end up in a frozen universe of isolated monads, we must revisit the notion of relationality in terms of vicarious causation (Harman) or indirect communication (Kierkegaard). (shrink)

Despite considerable attention given in the literature to Martin Heidegger’s ideas of dwelling, space and spatiality, earth and world, the core issue of Heidegger’s “topology of being” (Topologie des Seins/Seyns), or what his topo- logical way of thinking means, oddly, remains enigmatic for many readers of Heidegger. It is peculiar that the following question is rarely raised: Was the question of place (Ort, Ortschaft) for Heidegger only a theme among many oth- ers, or rather does the topological thinking of (...) being – the thinking of τόπος of λόγος but also the λόγος of τόπος – determine his entire philosophical trajectory? How could we recognize the ontological idea of place – the bounded openness of being where human dwelling takes place – and differentiate it from a narrow view of place as metaphorically imagined landscape, mathematically deter- mined point in calculable space, or politically defined geo-political location? Is there a way to distinguish, first, Heidegger’s nostalgia for the pre-industrial Swabian countryside from his entanglement with Nazism between the early 1930s and 40s, and then the latter from the philosophical idea of the reciprocal unity of τόπος and λόγος – the locality or “placefulness’ of being” (Örtlichkeit des Seins)? (shrink)

In this paper we show how modal logic can be applied in the axiomatizations of some dynamic ontologies. As an example we consider the case of mereotopology, which is an extension of mereology with some relations of topological nature like contact relation. We show that in the modal extension of mereotopology we may define some new mereological and mereotopological relations with dynamic nature like stable part-of and stable contact. In some sense such “stable” relations can be considered as approximations of (...) the “essential relations” in the domain of mereotopology. (shrink)

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

Manuel DeLanda is one of the few admitted realists in present-day continental philosophy, a position he claims to draw from Deleuze. DeLanda conceives of the world as made up of countless layers of assemblages, irreducible to their parts and never dissolved into larger organic wholes. This article supports DeLanda’s position as a refreshing new model for continental thought. It also criticizes his movement away from singular individuals toward disembodied attractors and topological structures lying outside all specific beings. While endorsing DeLanda’s (...) realism, I reject his shift from the actual to the virtual. (shrink)

This brief paper aims to underline which are the philosophical limits of mereotopology, when one takes it as a basic unitary theoretical framework for formal ontology. Mereotopology is a first-order theory of the relations among wholes, parts and the boundaries between parts, that combines mereological and topological concepts. Nowadays, with the expression “formal ontology” one intends either the computational (engineering) version, or the philosophical (categorial) one. It is important, then, to avoid terminological confusions. The main philosophical reason that keeps me (...) from developing the connection between computational and philosophical formal ontologies on mereotopological basis is the following: anti-Representationalism and Monism are two ontological stances very difficult to join together, as mereotopology does, if one takes into account the ontological implications of the emerging dynamical dual paradigm in the information theoretic approach to quantum physics. In general, it is this approach to the current fundamental and experimentally extremely successful physical theories about the microphysical realm, namely Quantum Mechanics and Quantum Field Theory, that allows to overcome the “gap” between the two disciplinary fields of formal ontology, making information a physical magnitude. I do not oppose anti-Representationalism, but its connection with the monistic stance, because of the fact that nowadays information appears as a basic component of the microphysical realm just like energy-matter. This fact justifies a realistic but information-matter dual ontology as the proper formal ontology of the emerging paradigm in the information theoretic approach to contemporary quantum physics. The primacy that Aristotle gives to the theory of principle (act/potency) as to the theory of categories is a very helpful tool to solve the main question that arises within a realistic dual ontological theoretical framework: the question of the non-stable nature of the categories, that reflect the increasingly complexity of the physical dynamic realistic orders. Here is the importance of an historical approach to the topic, given also the fact that mereological formal ontology originates with the works of three authors (Bolzano, Brentano, Husserl) that studied, directly or indirectly, Aristotle’s ontology. (shrink)