In 1929 Tarski showed how to construct points in a region-based first-order logic for space representation. The resulting system, called the geometry of solids, is a cornerstone for region-based geometry and for the comparison of point-based and region-based geometries. We expand this study of the construction of points in region-based systems using different primitives, namely hyper-cubes and regular simplexes, and show that these primitives lead to equivalent systems in dimension n ≥ 2. The result is achieved by adopting a (...) single set of definitions that works for both these classes of figures. The analysis of our logics shows that Tarski’s choice to take sphere as the geometrical primitive might be intuitively justified but is not optimal from a technical viewpoint. (shrink)

Whereas geometrical oppositions (logical squares and hexagons) have been so far investigated in many fields of modal logic (both abstract and applied), the oppositional geometrical side of “deontic logic” (the logic of “obligatory”, “forbidden”, “permitted”, . . .) has rather been neglected. Besides the classical “deontic square” (the deontic counterpart of Aristotle’s “logical square”), some interesting attempts have nevertheless been made to deepen the geometrical investigation of the deontic oppositions: Kalinowski (La logique des normes, PUF, Paris, 1972) has proposed a (...) “deontic hexagon” as being the geometrical representation of standard deontic logic, whereas Joerden (jointly with Hruschka, in Archiv für Rechtsund Sozialphilosophie 73:1, 1987), McNamara (Mind 105:419, 1996) and Wessels (Die gute Samariterin. Zur Struktur der Supererogation, Walter de Gruyter, Berlin, 2002) have proposed some new “deontic polygons” for dealing with conservative extensions of standard deontic logic internalising the concept of “supererogation”. Since 2004 a new formal science of the geometrical oppositions inside logic has appeared, that is “ n -opposition theory”, or “NOT”, which relies on the notion of “logical bi-simplex of dimension m ” ( m = n − 1). This theory has received a complete mathematical foundation in 2008, and since then several extensions. In this paper, by using it, we show that in standard deontic logic there are in fact many more oppositional deontic figures than Kalinowski’s unique “hexagon of norms” (more ones, and more complex ones, geometrically speaking: “deontic squares”, “deontic hexagons”, “deontic cubes”, . . ., “deontic tetraicosahedra”, . . .): the real geometry of the oppositions between deontic modalities is composed by the aforementioned structures (squares, hexagons, cubes, . . ., tetraicosahedra and hyper-tetraicosahedra), whose complete mathematical closure happens in fact to be a “deontic 5-dimensional hyper-tetraicosahedron” (an oppositional very regular solid). (shrink)

Nature's simplest atom and mother of all matter, hydrogen feeds the stars as well as interlaces the molecules of their biological descendants – to whom it ultimately whispers the secrets of quantum reality. Hydrogen’s most prevalent earthly guise lies within the composition of water. A slight electrical disturbance can split water into hydrogen and oxygen gas, resulting in diaphanous bubble clouds slowly rising towards the liquid’s surface. Though the founding fathers of electrochemistry posited that the mass of liberated bubbles is (...) directly proportional to the input voltage, certain modes of electrolysis release more energy than is spent. One such mode involves water’s Janus-faced capacity to react as either an acid or a base. Emanating from an array of electrodes at the bottom of a water-filled chamber, strings and strata of hydrogen bubbles meticulously trace their emergent surroundings. In addition to eddy formations incited by a bubble's rapid growth and subsequent detachment from the electrode surface, acoustic vibrations permeate the two-phase fluid. As the sonic frequency and amplitude rises, the hydrogen bubbles start to coalesce with one another. When the sound field reaches maximum intensity, it can trap bubbles within its antinodes. The vibrations are generated both by transducers and by the bubbles themselves, which emit frequencies ranging from the audible spectrum to as high as 800 kHz. A white laser sheet scans and illuminates the hydrogen bubble trajectories. Each quivering bubble-lens divides the white light into its constituent spectrum of colors. While scanning, the laser sheet also swiftly pulsates and thereby extends the perceivable resolution of micro-momentary bubble dynamics. Before it even begins to map out its vibratory environment, a bubble goes through various stages of spatio-temporal evolution. During the first phase of growth, a bubble nucleus inflates linearly with time. At the second stage, bubble growth is limited by the diffusion of gas within the liquid, causing its size to increase as the square root of time. The final phase before detachment is limited by the kinetics of dissolved gas production, causing the bubble to grow as the cube root of time.1 Beyond macroscopically observable bubbles, an expanse of nanobubbles hides within the water’s internal architecture. Some researchers presume that these nanobubbles of dissolved gas are the carriers of water’s magnetic ‘memory’, enabling electromagnetic fields to saturate its innards for hours and even days after their initial appearance. In the seas and oceans, the lingering presence of electromagnetic fields photonically imparted by sunlight, triggers the electrolysis responsible for most of the Earth’s hydrogen. An essential form of photosynthesis, solar water splitting is the cleanest and most efficient means imaginable for generating and storing energy. —Evelina Domnitch & Dmitry Gelfand *** Animals and plants are formed in earth and in water because there is water in earth, and there is pneuma in water, and there is soul heat in all pneuma ; so that in a way all things are full of soul. Hence plants and animals quickly form once this gets enclosed; and when this enclosing happens, when the corporeal liquids get heated, a sort of frothy bubble is formed. Now the difference between the various creatures which are produced in this way are due to the stuff which makes up the envelope around the soul-source.2 Throwing light into this pneumatic spray of perdurances, which would otherwise swarm below the threshold of human visibility, Evelina Domnitch and Dmitry Gelfand’s Hydrogeny saturates the viewer’s sensorial space with the nano-architectures of froth. Straddling the cell wall between scientific enquiry and artistic praxis, Hydrogeny , beckons a recasting of Lucretius' clinamen in tune with the technologies of the modern observer. For Lucretius it was the indeterminate swerving of an atomistic layer of reality which accounted for the unpredictability of change and the existence of free will. Taken up by Harold Bloom to describe the swerving of cultural production from that which has already been made, the idea has since been textually redressed by Lacan, Derrida, Serres, Deleuze, Nancy, and Badiou. Here we have been given a kaleidoscopic technique for refining and expanding awareness of our enmeshment with so many nested, atomistic layers of object-bubbles—of things—as Aristotle might say,“full of soul.” The gravitational pull of Hydrogeny ushers a de-centered human spectatorship to the ever more intimate recesses of what media philosopher N. Katherine Hayles calls our capacity for “deep attention.”3 Vaporous attention suspended and re-oriented. Microscopic as these diaphanous waves are, the calling they produce is anything but inconsequential. Evelina Domnitch and Dmitry Gelfand are two-thirds of the Amsterdam-based Art–Science Labratory, Optofonica , an atelier initiated by the Italian interdisciplinary artist TeZ in 2006. Follow more of their work at www.portablepalace.com —Isaac Linder NOTES (1) cf. Brandon, Kelsall, Levine, & Smith. “Interfacial Electrical Properties of Electrogenerated Bubbles.” Journal of Applied Electrochemistry 15 (1985):485-493. (2)Aristotle, On the Generation of Animals, 762a18, tr. A. L. Peck (Cambridge, MA: Loeb Classical Library, 1942). (3)“ My article on hyper and deep attention ,” N. Katherine Hayles, accessed on September 14, 2011. (shrink)

We investigate the Fourth Spatial Dimension, also known as ‘hyperspace’, by researching the capabilities of the human senses from the perspective of art and technology. The geometric approach of the fourth spatial dimension is studied through mathematical logic and the properties of simple geometric hyper-solids are examined. Focusing on the different ways that scientists and artists approached the Hyperspatial cognitive perception, we propose new aesthetic approaches by researching the capabilities of the human senses/bio-sensors and the brain. We present an (...) interactive art installation for approaching the hyper-sound, with reference to the Varèse and Helmholtz description, but also in conjunction with gravitational waves, an interactive art application about visualization of Hyperspace resulting from our evolution of the Hinton Coloured Cubes Method and an artistic approach to connect Johan Van Manen’s intuitive ‘hypersphere’ with the Quantum Geometry of String Theory, proposing a new cosmological model. Through these methods, a reasoning is developed between the objective scientific thought and the freedom that Art offers generating a practical result: a series of innovative audio and visual stimuli created via innovative audio-visual digital technology. Hence, we merge computer science with sensory technology and artistic knowhow, to define the required knowledge base that today can be found in an emerging professional, the ‘technartist’. (shrink)

We re-examine the problem of existential import by using classical predicate logic. Our problem is: How to distribute the existential import among the quantified propositions in order for all the relations of the logical square to be valid? After defining existential import and scrutinizing the available solutions, we distinguish between three possible cases: explicit import, implicit non-import, explicit negative import and formalize the propositions accordingly. Then, we examine the 16 combinations between the 8 propositions having the first two kinds of (...) import, the third one being trivial and rule out the squares where at least one relation does not hold. This leads to the following results: (1) three squares are valid when the domain is non-empty; (2) one of them is valid even in the empty domain: the square can thus be saved in arbitrary domains and (3) the aforementioned eight propositions give rise to a cube, which contains two more (non-classical) valid squares and several hexagons. A classical solution to the problem of existential import is thus possible, without resorting to deviant systems and merely relying upon the symbolism of First-order Logic (FOL). Aristotle’s system appears then as a fragment of a broader system which can be developed by using FOL. (shrink)

In Philosophical Logic, the Liar Paradox has been used to motivate the introduction of both truth value gaps and truth value gluts. Moreover, in the light of “revenge Liar” arguments, also higher-order combinations of generalized truth values have been suggested to account for so-called hyper-contradictions. In the present paper, Graham Priest's treatment of generalized truth values is scrutinized and compared with another strategy of generalizing the set of classical truth values and defining an entailment relation on the resulting sets (...) of higher-order values. This method is based on the concept of a multilattice. If the method is applied to the set of truth values of Belnap's “useful four-valued logic”, one obtains a trilattice, and, more generally, structures here called Belnap-trilattices. As in Priest's case, it is shown that the generalized truth values motivated by hyper-contradictions have no effect on the logic. Whereas Priest's construction in terms of designated truth values always results in his Logic of Paradox, the present construction in terms of truth and falsity orderings always results in First Degree Entailment. However, it is observed that applying the multilattice-approach to Priest's initial set of truth values leads to an interesting algebraic structure of a “bi-and-a-half” lattice which determines seven-valued logics different from Priest's Logic of Paradox. (shrink)

In this paper we present a contribution to a classical result of E. Ellentuck in the theory of regressive isols. E. Ellentuck introduced the concept of a hyper-torre isol, established their existence for regressive isols, and then proved that associated with these isols a special kind of semi-ring of isols is a model of the true universal-recursive statements of arithmetic. This result took on an added significance when it was later shown that for regressive isols, the property of being (...) hyper-torre is equivalent to being hereditarily odd-even. In this paper we present a simplification to the original proof for establishing that equivalence. (shrink)

We show that we in ways related to the classical Square of Opposition may define a Cube of Opposition for some useful statements, and we as a by-product isolate a distinct directive of being inviolable which deserves attention; a second central purpose is to show that we may extend our construction to isolate hypercubes of opposition of any finite cardinality when given enough independent modalities. The cube of opposition for obligations was first introduced publically in a lecture for (...) the Square of Opposition Conference in the Vatican in May 2014. -/- A COLORFUL ERRATUM: The article Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability, suffered a couple of mishaps when it was published in Logica Universalis, ISSN 1661-8297, 10(2-3), p. 373–376. The worst of them was that the colorful cube was printed in shades of grey, instead of decorating the sides with two transparent sides, and then a red, a yellow, a blue and a green side. The text of the article is not quite understandable because of this mishap, so I avail a colorfully updated version of the original article here. -/- . (shrink)

The article retraces three important steps along the path of Derrida’s Heidegger interpretation in The Beast and the Sovereign, Volume II. Readings of The Fundamental Concepts of Metaphysics, Introduction to Metaphysics, and “The Onto-Theo-Logical Constitution of Metaphysics” complement and further develop Derrida’s deconstruction of Heidegger, which revolves around the term “Walten” and its role in the world-formation that makes community possible. The analysis of what Derrida calls the hyper-sovereignty of Walten reveals an ethico-political ambiguity in Heidegger’s texts. On the (...) one hand, this hyper-sovereignty registers as a super-sovereign violence that founds theological-political world-constructs through the exclusion of those deemed other. On the other hand, like différance it serves as the condition of impossibility of a common world. Following Derrida’s provocation, I develop this second sense to argue that the dissolution of the common world entails an ethical imperative to carry the other with whom one has nothing in common. (shrink)

Various arguments have been put forward to show that Zeno-like paradoxes are still with us. A particularly interesting one involves a cube composed of colored slabs that geometrically decrease in thickness. We first point out that this argument has already been nullified by Paul Benacerraf. Then we show that nevertheless a further problem remains, one that withstands Benacerraf s critique. We explain that the new problem is isomorphic to two other Zeno-like predicaments: a problem described by Alper and Bridger (...) in 1998 and a modified version of the problem that Benardete introduced in 1964. Finally, we present a solution to the three isomorphic problems. (shrink)

Various arguments have been put forward to show that Zeno-like paradoxes are still with us. A particularly interesting one involves a cube composed of colored slabs that geometrically decrease in thickness. We first point out that this argument has already been nullified by Paul Benacerraf. Then we show that nevertheless a further problem remains, one that withstands Benacerraf’s critique. We explain that the new problem is isomorphic to two other Zeno-like predicaments: a problem described by Alper and Bridger in (...) 1998 and a modified version of the problem that Benardete introduced in 1964. Finally, we present a solution to the three isomorphic problems. (shrink)

I provide a characterization of weakly pseudo-rationalizable choice functions---that is, choice functions rationalizable by a set of acyclic relations---in terms of hyper-relations satisfying certain properties. For those hyper-relations Nehring calls extended preference relations, the central characterizing condition is weaker than (hyper-relation) transitivity but stronger than (hyper-relation) acyclicity. Furthermore, the relevant type of hyper-relation can be represented as the intersection of a certain class of its extensions. These results generalize known, analogous results for path independent choice (...) functions. (shrink)

Should animal advocates be allowed to publicly display graphic footage of how animals live (and die) in industrial animal use facilities? Cube of truth (‘cube’) demonstrations are a form of animal advocacy aimed at informing the public about the realities of animals’ experiences in places such as slaughterhouses, feedlots, and research facilities, by showing footage of mostly lawful practices within these workplaces. Activists engaging in cube-style protests have recently been targeted by law enforcement agencies in two Australian (...) states on the basis that the footage on display was too offensive to be shown in public. In this paper, I argue that these justifications do not stand up to scrutiny. Using an original politics of sight analysis, this paper demonstrates how the democratic costs associated with targeting cube protests outweigh the costs to the public. Cube activists are engaging in public dialogue by drawing attention to sites of potential injustice, and are playing an important role in highlighting the agency of the animals involved in exploitative industries. I further make the case that, where such demonstrations fall foul of the law, they should be regarded as legitimate acts of civil disobedience. (shrink)

The traditional square of opposition is generalized and extended to a cube of opposition covering and conveniently visualizing inter-sentential oppositions in relational syllogistic logic with the usual syllogistic logic sentences obtained as special cases. The cube comes about by considering Frege–Russell’s quantifier predicate logic with one relation comprising categorical syllogistic sentence forms. The relationships to Buridan’s octagon, to Aristotelian modal logic, and to Klein’s 4-group are discussed.GraphicThe photo shows a prototype sculpture for the cube.

In this paper, we study indiscernibility relations and complementarity relations in hyper arrow structures. A first-order characterization of indiscernibility and complementarity is obtained through a duality result between hyper arrow structures and certain structures of relational type characterized by first-order conditions. A modal analysis of indiscernibility and complementarity is performed through a modal logic which modalities correspond to indiscernibility relations and complementarity relations in hyper arrow structures.

Cube Living 221A is the most recent iteration of the Cube Living project, initiated in 2008. It appropriates the language, media and social practices of real estate development campaigns to engage in speculation about spatial ontologies, examining how social, legal and financial conventions determine the creation of space in our cities.This paper describes the staging and production process by which Cube Living 221A performs the creation of a spatial commodity. Drawing on the concepts presented in Žižek’s 2009 (...) talk “Architectural Parallax: Spandrels and Other Phenomena of Class Struggle”, it goes on to speculate that urban real estate development results in an architectural parallax: real estate property must function simultaneously as a financial asset and also as a residence. Similarly, the property owner must play simultaneous but irreconcilable roles as both investor and citizen. The Cube object can be regarded as a spandrel at the hinge of this parallax. (shrink)

Summary In Part 1 Small describes her discovery that an array of depicted cubes produces another and completely different illusion from that of a single cube. When a group of such cubes are viewed at an angle, they turn into rectangular boxes, and as the angle gets more severe, they become narrow ribbons. The illusion works only in one direction. In Part 2, Todorović manipulates the image to demonstrate various transformations and offers an explanation of how and why they (...) work the way they do. (shrink)

The aim of this article is to tackle the sociosemiotic strategies through which the relation between power and visibility is articulated in today’s metropolitan São Paulo. Drawing on the theoretical-methodological framework of Greimasian and post-Greimasian semiotics, the following hypotheses are put forth: (1) contemporary São Paulo is characterized by a true visual hypertrophy, which manifests itself, all at once, in both its architectural and mediatic landscapes; (2) in São Paulo, power is hypervisible and apparently transparent; (3) the excess of images, (...) gazes, and perspectives produces, in São Paulo, dense and wide areas of topological, mediatic, and social invisibility; (4) the predominant visibility in São Paulo can be qualified as a “populist” visibility. Based on these assumptions, this article intends to contribute to the consolidation of a critical debate on the visual matrices of power and on social processes of exclusion and inclusion currently in place in global metropolises. Likewise, it is intended to contribute to the elaboration of a theoretical-methodological framework capable of understanding and addressing the complexity of the phenomena that characterize such debate. (shrink)

"Hungarian Cubes" proposes an aesthetical typology of the ornamentation of cubic houses from the 1960s 70s in Hungary. The book is based on the artistic project Magyar Kocka Hungarian Cube, which German-Hungarian artist Katharina Roters is pursuing since 2005. The origins of the Hungarian Cube, a standardized type of residential house, date back to the 1920s, when the cube as prototype of a radically functional design first appeared in plans for single-family homes in Budapest s suburbs and (...) also in social housing projects. During Hungary s communist era after WW II, many villages were rebuilt on uniform schemes of single-family homes and the "Magyar Kocka "or "Kadar Kocka, " as they were also named after Hungary s communist president Janos Kadar became ubiquitous. A unique characteristic of this housing type is the ornamental decoration of its facades. The facade thereby became an opportunity of both individual and collective expression within uniformity. The ornament is not merely an aesthetic sign. It rather creates meaningful identity and distinguishes the appearance of entire dwellings across the country. Often this individualized ornament can also be read as an act of subversion against the pressure of conformity in the socialist system. Katharina Roters has been investigating and documenting this previously neglected ornamental phenomenon since 2005 from an artistic point of view. The houses are shown in her images cleaned of all surplus information, fences and railings, antennas, road signs, electric power lines. Only by this deletion of additions to each house the project can reach beyond a merely archival nature and the photograph becomes a document of aesthetic typology. The book combines the serial composition of Roters s images with essays on various aspects of this architectural phenomenon. ". (shrink)

We study the cube of type assignment systems, as introduced in Giannini et al. 87–126), and confront it with Barendregt's typed gl-cube . The first is obtained from the latter through applying a natural type erasing function E to derivation rules, that erases type information from terms. In particular, we address the question whether a judgement, derivable in a type assignment system, is always an erasure of a derivable judgement in a corresponding typed system; we show that this (...) property holds only for systems without polymorphism. The type assignment systems we consider satisfy the properties ‘subject reduction’ and ‘strong normalization’. Moreover, we define a new type assignment cube that is isomorphic to the typed one. (shrink)

This paper introduces the concept of ‘hyper-ambition’ in academia as a contributing factor to what has been termed a ‘replication crisis’ across some sciences. The replication crisis is an umbrella term that covers a range of ‘questionable research practices’, from sloppy reporting to fraud. There are already many proposals to address questionable research practices, some of which focus on the values, norms, and motivations of researchers and institutes, and suggest measures to promote research integrity. Yet it is not easy (...) to promote integrity in hyper-competitive academic environments that value high levels of ambition. I argue that in such contexts, it is as likely that a kind of hyper-ambition is fostered that (inadvertently or otherwise) prioritises individual success above all, including to the detriment of scientific quality. In addition, efforts to promote values like integrity falter because they rely on sufficient uniformity in motivations or tendencies. Codes and guidance promoting integrity are, however, likely to influence those for whom such values are not optional, while others simply find ways around them. To demonstrate this I offer a thought experiment in which we consider the imaginary working situations of two ordinary academics. I conclude that tackling questionable research practices in the light of the replication crisis requires robust ‘top down’ measures that expect and accommodate a broader range of academic values, motivations, and tendencies, while challenging those that help to promote hyper-ambition. (shrink)

In this article I present HYPER-REF, a model to determine the referent of any given expression in First-Order Logic. I also explain how this model can be used to determine the referent of a first-order theory such as First-Order Arithmetic. By reference or referent I mean the non-empty set of objects that the syntactical terms of a well-formed formula pick out given a particular interpretation of the language. To do so, I will first draw on previous work to make (...) explicit the notion of reference and its hyperintensional features. Then I present HYPER-REF and offer a heuristic method for determining the reference of any formula. Then I discuss some of the benefits and most salient features of HYPER-REF, including some remarks on the nature of self-reference in formal languages. (shrink)

We discuss the relationship between various weak distributive laws and games in Boolean algebras. In the first part we give some game characterizations for certain forms of Prikry’s “hyper-weak distributive laws”, and in the second part we construct Suslin algebras in which neither player wins a certain hyper-weak distributivity game. We conclude that in the constructible universe L, all the distributivity games considered in this paper may be undetermined.

Ordinal functions may be iterated transfinitely in a natural way by taking pointwise limits at limit stages. However, this has disadvantages, especially when working in the class of normal functions, as pointwise limits do not preserve normality. To this end we present an alternative method to assign to each normal function f a family of normal functions Hyp[f]=〈fξ〉ξ∈OnHyp[f]=〈fξ〉ξ∈On, called its hyperation, in such a way that f0=idf0=id, f1=ff1=f and fα+β=fα∘fβfα+β=fα∘fβ for all α, β.Hyperations are a refinement of the Veblen hierarchy (...) of f. Moreover, if f is normal and has a well-behaved left-inverse g called a left adjoint, then g can be assigned a cohyperationcoH[g]=〈gξ〉ξ∈OncoH[g]=〈gξ〉ξ∈On, which is a family of initial functions such that gξgξ is a left adjoint to fξfξ for all ξ. (shrink)

Name der Zeitschrift: Logic and Logical Philosophy Jahrgang: 22 Heft: 3 Seiten: 255-293.

In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper MV -algebra and we obtain some related results. After that by considering the notions ofhyper MV -ideals and weak hyper MV -ideals, we prove some theorems. Then we determine relationships between hyper MV -ideals in a hyper MV -algebra and hyper K -ideals in a hyper K -algebra . Finally we give a characterization of hyper MV -algebras (...) of order 3 or 4 based on the hyper MV -ideals. (shrink)

Essay on police legitimacy through public reason and community policing.

During the Bill Clinton and George W. Bush administrations, the Executive Office of the President became dominated by West Wing advisers who specialized in campaign politics, media management, and nonstop public communications. With record numbers of presidential appointees requiring no congressional approval, the Bush White House pursued partisan control of cabinet agencies. Even obscure federal bureaus were required to remain “on message.” The constitutional derangement about which The Rhetorical Presidency had warned has occurred. No matter who occupies the Oval Office (...) in the future, the hyper‐rhetorical presidency is here to stay. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hyper-Abjects:Finitude, “Sustainability,” and the Maternal Body in the AnthropoceneBethany DoaneThe concept of the Anthropocene prioritizes a new paradigmatic scale that seems to outweigh that of “the political”: imagining deep time or the death of the human species as a result of climate change tends to negate the (relatively speaking) smaller-scale concerns of race, class, gender, or capitalism. While feminist critique is often circumscribed by this political scale, and (...) thus may seem to be dwarfed or rendered obsolete by the geological, deep-time scale of the Anthropocene, examining issues of feminist concern from this geological perspective has profound implications for thinking not only of gender politics but also of how to construct something like the political at all in this new era. Suggesting a new and normative global politics is, of course, beyond the scope of this article, but perhaps we might begin to conceive of a political schema that would function more appropriately in light of this grander scale. At the very least we may begin to think the borders or limits of the species as it has existed in the modern era in a way that neither environmentalism nor posthumanism has yet been able to sufficiently tackle.The Anthropocene marks the epoch in which human activities have caused global environmental changes that will leave their mark in the geological strata of the earth itself.1 While the specific moments of its onset are contested, its beginnings are generally associated with the industrial age; Crutzen and Stoermer mark its onset at roughly 1800 with the beginnings [End Page 251] of the industrial revolution. (Timothy Morton pinpoints it more specifically with the invention of the steam engine in 1794.) The changes made in this era of geological, technological, and climate convergence have accelerated in the last seventy years or so in what scientists call the Great Acceleration, which began around 1940 and quickened anthropogenic impact with events like the testing/dropping of atomic bombs, the homogenization of biodiversity, mass extinctions as a result of human activity, and various types of drilling and mining.2 In the era broadly conceived as modernity, the steady march of “progress” that has so shaped the paradigm of the period has been made possible only through its own abjections: those phenomena that mark the era as limited, limiting, and unsustainable. In other words, the “birth of the modern world” was made possible only through devastating acts of violence: institutionalized inequalities like slavery, oppression, colonization, and war. These acts of violence translate as cannibalization at the global scale: the exploitation of most members of the species and the consumption of their resources for the benefit and luxury of the few. While these forms of violence have been criticized and confronted by political and theoretical movements since at least the middle of the twentieth century, thinking of them in terms of the Anthropocene and deep time allows us to consider their consequences in a new light. Our present awareness of the Anthropocene makes visible phenomena like climate, global warming, earth, and the “anthropos” that present us with the very real eventuality of species finitude. Species finitude calls into question not just the practices of modernity that have brought about the Anthropocene (the exploitation of the many for the benefit of the few), but the entire paradigm of global thinking that is invested in progress, growth, and even in any environmentalism that calls for stewardship of the earth. The notion of care for an entity like “nature” or “the environment” only reinforces the separation between the human and its milieu, a separation that is impossible to maintain in light of the absolute inextricability that the Anthropocene brings to light.At the heart of this essay are two theoretical concepts: Julia Kristeva’s abjection, and Timothy Morton’s hyperobjects, both of which stand for a sort of insufficiency or impossibility of discourse (politics, the Symbolic, etc.) in managing some Real object or phenomenon. Kristeva’s abject is generally thought of as functioning at two levels or scales: the personal, in which an individual must cast off the abject of the maternal body in order to become a proper subject; and the social or... (shrink)

I argue that beliefs that are true whenever held-like I exist, I am thinking about myself, and (in an object-dependent framework) Jack = Jack-needn't on that account be a priori. It does however seem possible to remove the existential commitment from the last example, to get a belief that is knowable a priori. I discuss some difficulties concerning how to do that.

Predicates are "hyper-evaluative" when they depend on more than just the semantic values (be they intensional or more fine-grained) of their individual arguments, but also on the way those arguments are "coordinated" or "wired." I examine motivations and semantic implementations for such predicates, drawing from linguistics and computer science.

This article seeks to grasp the meaning of Michel Henry's use of the term "transcendental" to understand its specific nature as pure experience that owes nothing to the constituted or the a posteriori. It then considers the methodological consequences and difficulties resulting from such a conception of the transcendental. According to my hypothesis, in order to maintain the "major division" between the empirical and the transcendental, material phenomenology is caught in a form of double bind. One cannot say much about (...) the transcendental without risking contamination by the empirical. As far as the constituted is concerned, it is certainly possible to refer to it, but actually there is nothing to say. This paper tests this interpretative hypothesis against a specific example, namely, the phenomenological description of feeling offered by Henry. The analysis concludes by considering whether material phenomenology does not lapse into what Rudolf Bernet calls a form of "hyper-transcendentalism" in the sense that the totality of empirical reality ends by being "transcendentalized". No basis can be provided for intentionality, as Henry sometimes claims: it becomes a superfluous concept. (shrink)

Drawing upon the thought of Giorgio Agamben, this essay focuses upon the potential of a single act to change a political order. Agamben’s writings retain the possibility for a paradigmatic gesture that opens a space for a politics not founded on a form of belonging grounded in a particular property, such as national identity. To illustrate this event this essay turns to Agamben’s construction of whatever-being, which is constructed hyper-hermeneutically. This term is chosen deliberately. Whatever-being retains a hermeneutic structure, (...) but is constructed through singular paradigmatic examples. These examples are evidence for whatever-being’s existence as a pure singularity, unable to be reduced to a particular quality. Such examples are gestures that allow future modes of belonging to separate themselves from oppressive foundations and dominating constructions of political existence, through revealing the possibility of a new way of being that does not require a revolutionary “zero hour” to be brought about. (shrink)