The paper is a study of the logic of existence, negation, and order in the Neoplatonic tradition. The central idea is that Neoplatonists assume a logic in which the existence predicate is a comparative adjective and in which monadic predicates function as scalar adjectives that nest the background order. Various scalar predicate negations are then identifiable with various Neoplatonic negations, including a privative negation appropriate for the lower orders of reality and a hyper-negation appropriate for the (...) higher. Reversion to the One can then be explained as the logical inference of hyper-negations from mundane knowledge. Part I develops the relevant linguistic and logical theory, and Part II defends Wolfson and the scalar interpretation against the more traditional Aristotelian understanding of Whittaker and others of reversion as intensional abstraction. (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)

An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting (...) the tree of genera and species from Plato's diairesis into the Neoplatonic linear hierarchy of Being by use of scalar hyper and privative negations. (shrink)

Several philosophers have embraced the view that high-level events—events like Zimbabwe's monetary policy and its hyper-inflation—are causally related if their corresponding low-level, fundamental physical events are causally related. I dub the view which denies this without denying that high-level events are ever causally related causal emergentism. Several extant philosophical theories of causality entail causal emergentism, while others are inconsistent with the thesis. I illustrate this with David Lewis's two theories of causation, one of which entails causal emergentism, the other (...) of which entails its negation. I then argue for causal emergentism on the grounds that it provides the only adequate means of squaring the apparent plenitude of causal relations between low-level events with the apparent scarcity of causal relations between high-level events. This tension between the apparent abundance of low-level causation and the apparent scarcity of high-level causation has been noted before. However, it has been thought that various theses about the semantics or the pragmatics of causal claims could be used to ameliorate the tension without going in for causal emergentism. I argue that none of the suggested semantic or pragmatic strategies meet with success, and recommend emergentist theories of causality in their stead. As Lewis's 1973 account illustrates, causal emergentism is consistent with the thesis that all facts reduce to microphysical facts. (shrink)

The aim of this article is to address the recently renewed debate pertaining to esotericism, secret messages encoded within writings from antiquity, especially in the writings of Plato. The question of esotericism has assumed a prominent role within debates concerning the history of political thought. Ever since Leo Strauss offered his suspicion that there were secrets ‘buried in the writings of the rhetoricians of antiquity’, the idea that philosophers deliberately concealed their true beliefs in a way that few could detect (...) has been fiercely debated. More recently, the research of J.B. Kennedy has made international headlines for discovering a musical pattern embedded within Platonic writings, a pattern that Kennedy insists is evidence of Plato’s Pythagorean allegiance. The theses proffered by Strauss and Kennedy are empty doctrines of esotericism, or empty esotericisms. These doctrines insinuate the presence of secret or coded writing within Platonic dialogues but reveal no actual secret. These theses of esotericism falsely represent Plato as hyper-cryptic.Without actually providing substantive content, these notions of esotericism compel the reader to merely negate the exoteric writings of Plato, which actually render his already heterodox writings as commonplace and orthodox. (shrink)

The contemporary times are the era in which the natural sciences and technology are hyper-developed. Nowadays the future of mankind is not altogether filled with the light of hope. On the contrary the human beings are thrown into the difficult situations. What kind of critical situation is there in front of us then? Three points must be considered and inquired. 1) What is the recognition of the present condition? 2) From which does the critical situation arise? 3) On the (...) base of these two steps aforementioned, I would like to elucidate how it is possible for mankind to conquer and to overcome the crisis of human beings. A fundamental cause of this predicament is the concentrated will in the subjectivity and the voluntary constitution of the metaphysics since the Greek and Roman School of Stoic Philosophy and its successor, Descartes as its precursor. Therefore every one must achieve the self-negation of his own will not only for himself but also for the human society. (shrink)

continent. 2.2 (2012): 76–81 Comments on Eugene Thacker’s “Cosmic Pessimism” Nicola Masciandaro Anything you look forward to will destroy you, as it already has. —Vernon Howard In pessimism, the first axiom is a long, low, funereal sigh. The cosmicity of the sigh resides in its profound negative singularity. Moving via endless auto-releasement, it achieves the remote. “ Oltre la spera che piú larga gira / passa ’l sospiro ch’esce del mio core ” [Beyond the sphere that circles widest / penetrates (...) the sigh that issues from my heart]. 1 The axiomatic sigh of the pessimist is in a way the pure word of philosophy, a thought that thinks without you, speaks where you are not. The live pneumatic form of the soul’s eventual exit from the dead body’s mouth, the sigh restores consciousness to the funeral of being, to the passing away that is existence. Pessimism speaks in piercing aphorisms because first it sighs. “Beyond the sphere passeth the arrow of our sigh. Hafiz! Silence.” 2 … pessimism is guilty of that most inexcusable of Occidental crimes—the crime of not pretending it’s for real. To the pessimist, the ‘real’ world—the world on whose behalf we are expected to wake up in the morning—is a ceaseless index of its own unreality. The pessimist’s day is not an illumined space for the advancement of experience and action, but a permanently and inescapably reflective zone, the vast interior of a mirror where each thing is only insofar as it is, at best, a false image of itself. Within this speculative situation, inside the doubleness of the mirror, pessimism splits into two paths, false and true, one that tries to fix pessimism (establish a relation with the mirror) and decides in favor of the apparent real, and another that totally falls for pessimism (enters the mirror) and communes with the greater reality of the unreal. These two paths are distinguished by their relation to pessimism’s guilt vis-à-vis the world’s reality-project. The first form, that which remains pessimism for the world and puts on a smiling face, stays guilty to itself (i.e. unconscious) and thus turns hypocritical, becoming at once the pessimism of the commoner who really just wants things to be better for himself and the pessimism of the elite who wants to critically refashion reality in his own image. The general form of this worldly, hypocritical pessimism is the impulse to ‘make the world a better place’, which is the global mask under which the world is diurnally made worse. The second form, that which follows pessimism away from the world and ceases to put on a smiling face, refuses guiltiness as itself theessential Occidental mode of pretense and turns honest, becoming at once the intelligent pessimism required of all ordinary action and the radical pessimism necessary for self-knowledge: seeing that no one is capable of doing good. The general form of this universal, honest pessimism is the impulse not to worry, to give up and embrace dereliction, which is the only real way the world is actually improved. Where worldly pessimism is the engine productive of interminably warring secular and sacred religions (good-projects), universal pessimism strives hopelessly for the paradise of a supremely instantiated pessimus: things are getting so bad that there is no longer any time for them to get worse; things are so constantly-instantly worst that this is BEST. Cosmic pessimism is the mode of universal pessimism which can yet discourse with the world, which has not chosen silence and can spread the inconceivably BAD NEWS in an orderly form ( kosmos ) that the world can understand (if it wanted to). … the result of a confusion between the world and a statement about the world. That is what the world is (the result of a confusion between the world and a statement about the world). … a generalized misanthropy without the anthropos. Pessimism crystallizes around this futility—it is its amor fati , rendered as musical form. Pessimism’s love of fate is a blind love, a love of the blindness of being human in a cosmos conceived around the human’s eclipse, a heavy levitation in the contradictory space between the inescapability of its having been and the impossibility of its will-be. Pessimism’s song of futility is a sensible way of loving fate, with a minimum of eros, by means of a kind of matrimonial love of the fatal. As music, pessimism stays open to the irreparable and the inexorable without the binding of affirmation, in the apparent absence of the radical, infinitely surplus will that absolute amor fati seems to require. Crying, laughing, sleeping—what other responses are adequate to a life that is so indifferent? “Unless a man aspires to the impossible, the possible that he achieves will scarcely be worth the trouble of his achieving it. We should aspire to the impossible, to absolute and infinite perfection [….] The apocatastasis is more than a mystical dream: it is a norm of action, it is a beacon for high deeds [….] For true charity is a species of invasion [….] It is not charity to rock and lull our fellow men to sleep in the inertia and heaviness of matter, but rather to arouse them to anguish and torment of spirit.” 3 … the impossibility of ever adequately accounting for one’s relationship to thought. “The paroxysm of interior experience leads you to regions where danger is absolute, because life which self-consciously actualizes its roots in experience can only negate itself [….] There are no arguments [….] On the heights of despair, the passion for the absurd is the only thing that can still throw a demonic light on chaos [….] I live because the mountains do not laugh and the worms do not sing .” 4 It took three attempts before she was fully decapitated, all the while she continued, perhaps miraculously, to sing. According to the earliest account of Cecilia’s martyrdom, the beheading turns out worse. After not severing her head in three strokes, “the cruel executioner left her half dead” (seminecem eam cruentus carnifex dereliquit). 5 Cecilia’s effortlessly powerful endurance of the three strokes—a fitting icon for pessimism as an art of dereliction—demonstrates the “passivity and absence of effort [….] in which divine transcendence is dissolved.” 6 There’s a ghost that grows inside of me, damaged in the making, and there’s a hunt sprung from necessity, elliptical and drowned. Where the moving quiet of our insomnia offers up each thought, there’s a luminous field of grey inertia, and obsidian dreams burnt all the way down. Like words from a pre-waking dream. There is no reason to think that they are not. NOTES 1. Dante Alighieri. Vita Nuova . ed. and trans. Dino S. Cervigni and Edward Vasta. Notre Dame: University of Notre Dame Press. 1995. 41:10. 2. Hafiz of Shiraz. The Divan . trans. H. Wilberforce Clarke. London: Octagon Press. 1974. 10.9. 3. Miguel de Unamuno. The Tragic Sense of Life in Men and Nations . trans. Anthony Kerrigan. Princeton: Princeton University Press. 1972. 305-6. 4. E.M. Cioran. On the Heights of Despair . trans. Ilinca Zarifopol-Johnston. Chicago: University of Chicago Press. 1992. 9-10. 5. Giacomo Laderchi. S. Caeciliae Virg[inis] et Mart[yris] Acta. . . Rome. 1723. 38. 6. Georges Bataille. On Nietzsche . trans. Bruce Boone. London: Continuum. 2004. 135. See Nicola Masciandaro. “ Half Dead: Parsing Cecilia .” A Commentary on Eugene Thacker’s "Cosmic Pessimism" Gary J. Shipley Pessimism is the refusal to seek distraction, the refusal to remodel failure into a platform for further (doomed) possibilities, the refusal of comfort, the acceptance of the sickness of healthy bodies, the cup of life overflowing with cold vomit. If, as Ligotti suggests when discussing Invasion of the Body Snatchers , 1 humans prefer the anxieties of their familiar human lives to the contentment of an alien one, then the pessimist, we could argue, represents some perverted combination of the two, preferring (presuming he has a choice) the defamiliarization of human life to the contentment of its unquestioned mundanity. The quasi-religious state of mind that Wittgenstein would mention on occasion, that of “feeling absolutely safe,” 2 is a state the pessimist could only imagine being approximated by death, or perhaps some annihilative opiate-induced stupor. This Wittgensteinian commingling of certainty and faith looks every bit the futile gesture, a mere rephrasing of collapse or partial collapse. The only certainty open to the pessimist is that of the toxic formula of life itself—a formula known and lacuna-free. Certainty, far from being the gateway to deliverance, becomes the definitive impediment; and the possibility of salvation, as long as it remains, becomes crucially reliant on postulations of ignorance, epistemic gaps, a perennial incompleteness: “the perfect safety of wooed death […] the warm bath of physical dissolution, the universal unknown engulfing the miniscule unknown.” 3 The height of Leibniz’s Panglossian insanity nurtured the idea that our knowing everything—via the universal calculus—could be accurately described a triumph, as opposed to a nightmare in which our every futility is laid bare. Stagnancy and boredom are perhaps two of the greatest ills of Western civilisation, and the most potent pessimism tells you that you’re stuck with both. The most we can hope for, by way of salvation, is to throw open our despair to the unknown. The fact that Schopenhauer’s pessimism stopped short of morality and allowed him to play the flute, as Nietzsche complained, highlights the predicament of a man who despite having adorned nothingness with a smiling face still found himself alive. The demand here is that it be felt: a cross-contamination of intellect and emotion. The safety net of numerous parentheses makes for a failed philosophy, rather than a philosophy of failure. Depressives make bad pessimists, because, unless they choose to die, living will always infect them with necessities of hope, forcing them to find something, anything (all the various “as ifs”) to make existence tolerable. For as Cioran observed, while “[d]epressions pay attention to life, they are the eyes of the devil, poisoned arrows which wound mortally any zest and love of life. Without them we know little, but with them, we cannot live.” 4 And even when cured of our depressions we’ll find ourselves consumed, eaten alive by the hyper-clinical (borderline autistic) mania that replaces them: a predicament captured all too clearly in the microscriptual fictions of Robert Walser, where spectral men and women stifle their depressive madness with protective comas of detail, their failed assimilations buried beneath thick crusts of remote data. Like Beckett’s Malone their stories may have ended, but cruelly their lives have not. Pessimism is an extraneous burden (a purposeless weight) that makes everything else harder to carry, while at the same time scooping it out and making it lighter. If pessimism had a sound it would be the harsh non-noise of tinnitus—the way that every person would hear themselves if they refused their distractions long enough to listen: a lungless scream from the extrasolar nothing of the self. The music of pessimism—if indeed we can imagine such a thing—is the reverberating echo of the world’s last sound, conjectured but never heard, audible only in its being listened for. The one consolation of this hollow paradox of audibility being, that “he will be least afraid of becoming nothing in death who has recognized that he is already nothing now.” 5 The pessimist suffers a derangement of the real, a labyrinthitis at the nucleus of his being: he’s the stumbling ghost relentlessly surprised that others can see him. If Cioran’s refusal is manifested in sleep (when even saying ‘no’ is too much of a commitment), then Pessoa’s resides in the dreams inside that sleep. Pessoa chooses to exploit the fact that he’s being “lived by some murmuring non-entity both shadowy and muddied” 6 by growing more voids to live him. His is a Gnostic breed of sleep, “sleeping as if the universe were a mistake,” 7 a sleep that dreams through Thacker’s cosmic pessimism (“a pessimism of the world-without-us.”, “the unhuman orientation of deep space and deep time” 8 ), through the critical error of there being anything at all when there could be nothing. The metaphysical pessimist is someone who, however well life treats them, still desires to wake from it, as from the poisonous air of a bad dream. Pessimism is a paradox of age, being simultaneously young and old; its youth residing in a refusal to accept the authority of existence (its rich history, its inherent beneficence), a refusal to “get over” the horror of what it sees with its perpetually fresh eyes, and its maturity in the unceremonious disposal of the philosophical playthings (those futile architectures) of adolescence. As Thacker remarks: “Pessimism abjures all pretenses towards system—towards the purity of analysis and the dignity of critique.” 9 A sentiment shared with Pessoa, who duly categorizes those that choose to enact this futile struggle: “The creators of metaphysical systems and of psychological explanations are still in the primary stage of suffering.” 10 If the pessimist has shared a womb with anyone, it’s with the mystic and not the philosopher. As Schopenhauer tells us: “The mystic is opposed to the philosopher by the fact that he begins from within, whereas the philosopher begins from without. […] But nothing of this is communicable except the assertions that we have to accept on his word; consequently he is unable to convince.” 11 The crucial difference between the mystic and the pessimist is not the latter’s impassivity and defeatism, but his unwillingness/inability to contain in any way the spread of his voracious analyticity, his denial of incompleteness, his exhaustive devotion to failure. The truth of our predicament, though heard, is destined to remain unprocessed. Like the revelations of B.S. Johnson’s Haakon (“We rot and there’s nothing that can stop it / Can’t you feel the shaking horror of that?” 12 ) the pessimist’s truths are somehow too obvious to listen to, as if something inside us were saying, “Of course, but haven’t we gotten over that?” Pessimism is simple and ugly, and has no desire to make itself more complex or more attractive. The true moral pessimist knows that the Utilitarian’s accounts will always be in the red. He can see that for all his computational containments, his only honest path is a negative one, and that such a path has but one logical destination: that of wholesale human oblivion. Thacker notes how at the core of pessimism lies the notion of “the worst,” through which death is demoted by the all-pervasive suffering of a life that easily eclipses its threat. And so with doom made preferable to gloom, death begins to glint with promise, “like beauty passing through a nightmare.” 13 But even among pessimists suicide is, for the most part, thought to be an error. Schopenhauer, for instance, regarded suicide a mistake grounded in some fundamentally naïve disappointment or other. Pessoa too thought suicide an onerous escape tactic: “To die is to become completely other. That’s why suicide is a cowardice: it’s to surrender ourselves completely to life.” 14 There is a call here to be accepting of and creative with the puppetry of your being, an insistence that it’s somehow a blunder to attempt to hide in death from the horrors you find inlife. 15 Tied up with this perseverance is the slippery notion of the good death, for maybe, as Blanchot warns, suicide is rarely something we can hope to get right, for the simple reason that “you cannot make of death an object of the will.” 16 “Even in cases where the entire corpus of an author is pessimistic, the project always seems incomplete,” 17 and this is not simply because the project itself belies something yet to be disclosed, but because the project itself is a thing waiting. It waits on a cure it knows will not come, but for which it cannot do anything (as long as it continues to do anything) but wait. NOTES 1. See Thomas Ligotti. The Conspiracy Against the Human Race . New York: Hippocampus Press. 2010. 91. 2. Ludwig Wittgenstein. “A Lecture on Ethics.” Philosophical Review . (74) 1. 1965. 8. 3. Vladimir Nabokov. Pale Fire . New York: Vintage. 1989. 221. 4. E. M. Cioran. The Book of Delusions . trans. Camelia Elias. Hyperion. 5.1. (2010): 75. 5. Arthur Schopenhauer. The World as Will and Representation. vol. 2 . trans. E .F J. Payne. New York: Dover. 1966. 609. 6. Eugene Thacker. “Cosmic Pessimism.” continent. . 2.2 (2012): 67. 7. Fernando Pessoa. The Book of Disquiet . trans. Richard Zenith. London: Penguin. 2002. 35. 8. Eugene Thacker. “Cosmic Pessimism.” continent. . 2.2 (2012): 68. 9. Ibid. 73. 10. Fernando Pessoa. The Book of Disquiet . trans. Richard Zenith. London: Penguin. 2002. 341. 11. Arthur Schopenhauer. The World as Will and Representation. vol. 2 . trans. E .F J. Payne. New York: Dover. 1966. 610-11. 12. B.S Johnson. “You’re Human Like the Rest of Them.” in Jonathan Coe. Like a Fiery Elephant: The Story of B.S. Johnson . London: Picador. 2004. 177. 13. Fernando Pessoa. The Book of Disquiet . trans. Richard Zenith. London: Penguin. 2002. 415. 14. Ibid. 199. 15. “Suicide is, after all, the opposite of the poem.” Anne Sexton. No Evil Star: Selected Essays, Interviews and Prose . ed. Steven Gould Axelrod. Ann Arbor: University of Michigan Press. 1985. 92. 16. Maurice Blanchot. The Space of Literature . trans. Ann Smock. Lincoln: University of Nebraska Press. 1989. 105. 17. Eugene Thacker. “Cosmic Pessimism.” continent. . 2.2 (2012): 75. (shrink)

This paper examines the basic differences between Dionysius’s two principal terms for negation, aphairesis and apophasis, expounding most of the passagesin which these terms appear in order to support the claim that aphairesis functions as Dionysius’s method of hymning the hyper-being God through the removal of“beings” (by means of narrow-scope predicate-term negation), while apophasis constitutes Dionysius’s logic of interpreting these removed beings excessively rather than privatively. It then argues that, although aphairesis “removes” and apophasis “exceeds,” these two (...) types of negation function cohesively in the Dionysian corpus, although in doing so they suggest a different overall picture of Dionysian negation from that which is commonly attributed to Dionysius. It is not the case that Dionysius’s negation of predicate terms should be read propositionally, that is to say, as It is not the case that God is p. Rather, when interpreted apophatically, Dionysius’s not-p signifies more-p-than-most-p. (shrink)

This paper examines the basic differences between Dionysius’s two principal terms for negation, aphairesis and apophasis, expounding most of the passagesin which these terms appear in order to support the claim that aphairesis functions as Dionysius’s method of hymning the hyper-being God through the removal of“beings” (by means of narrow-scope predicate-term negation), while apophasis constitutes Dionysius’s logic of interpreting these removed beings excessively rather than privatively. It then argues that, although aphairesis “removes” and apophasis “exceeds,” these two (...) types of negation function cohesively in the Dionysian corpus, although in doing so they suggest a different overall picture of Dionysian negation from that which is commonly attributed to Dionysius. It is not the case that Dionysius’s negation of predicate terms should be read propositionally, that is to say, as It is not the case that God is p. Rather, when interpreted apophatically, Dionysius’s not-p signifies more-p-than-most-p. (shrink)

Seen from the point of view of evaluation conditions, a usual way to obtain a connexive logic is to take a well-known negation, for example, Boolean negation or de Morgan negation, and then assign special properties to the conditional to validate Aristotle’s and Boethius’ Theses. Nonetheless, another theoretical possibility is to have the extensional or the material conditional and then assign special properties to the negation to validate the theses. In this paper we examine that possibility, (...) not sufficiently explored in the connexive literature yet.We offer a characterization of connexive negation disentangled from the cancellation account of negation, a previous attempt to define connexivity on top of a distinctive negation. We also discuss an ancient view on connexive logics, according to which a valid implication is one where the negation of the consequent is incompatible with the antecedent, and discuss the role of our idea of connexive negation for this kind of view. (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)

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)

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)

We present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities (...) between such points. We defuse a number of objections to this Plan, raised by supporters of the American Plan for negation, in which negation is handled via a many-valued semantics. We show that the Australian Plan has substantial advantages over the American Plan. (shrink)

This paper presents a new approach to theorizing and empirically investigating a phenomenon variously described by sociologists as internalized oppression or symbolic violence. Located at the intersection of internal worlds and external reality, the intrapsychic and the interpersonal and social, this object of inquiry—here termed self-negation—is crucial to many forms of societal domination. The paper explores its inner workings, analytically disaggregating it into an array of psychosocial processes drawn from the psychoanalytic theory of the defenses. Much of the work’s (...) originality consists in showing how these processes operate across multiple systems of domination and drive many and varied outward manifestations of the phenomenon. (shrink)

Seen from the point of view of evaluation conditions, a usual way to obtain a connexive logic is to take a well-known negation, for example, Boolean negation or de Morgan negation, and then assign special properties to the conditional to validate Aristotle’s and Boethius’ Theses. Nonetheless, another theoretical possibility is to have the extensional or the material conditional and then assign special properties to the negation to validate the theses. In this paper we examine that possibility, (...) not sufficiently explored in the connexive literature yet.We offer a characterization of connexive negation disentangled from the cancellation account of negation, a previous attempt to define connexivity on top of a distinctive negation. We also discuss an ancient view on connexive logics, according to which a valid implication is one where the negation of the consequent is incompatible with the antecedent, and discuss the role of our idea of connexive negation for this kind of view. (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)

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.

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)

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)

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)

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.

We investigate the notion of classical negation from a non-classical perspective. In particular, one aim is to determine what classical negation amounts to in a paracomplete and paraconsistent four-valued setting. We first give a general semantic characterization of classical negation and then consider an axiomatic expansion BD+ of four-valued Belnap–Dunn logic by classical negation. We show the expansion complete and maximal. Finally, we compare BD+ to some related systems found in the literature, specifically a four-valued modal (...) logic of Béziau and the logic of classical implication and a paraconsistent de Morgan negation of Zaitsev. (shrink)

Here is one argument against realism. (1) Realists are committed to the classical rules for negation. But (2) legitimate rules of inference must conserve evidence. And (3) the classical rules for negation do not conserve evidence. So (4) realism is wrong. Most realists reject 2. But it has recently been argued that if we allow denied sentences as premisses and conclusions in inferences we will be able to reject 3. And this new argument against 3 generates a new (...) response to the antirealist argument: keep 1 and 2, avoiding 4 by rejecting 3. My aim in this paper is to see how much work in the fight against anti-realism this new response can really do. I argue that there is a powerful objection to the response: 2 is in tension with the claim that denied sentences can be premisses and conclusions in inferences. But I show that, even given this objection, the new response has an important role to play. (shrink)

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)

This volume offers insights on experimental and empirical research in theoretical linguistic issues of negation and polarity, focusing on how negation is marked and how negative polarity is emphatic and how it interacts with double negation. Metalinguistic negation and neg-raising are also explored in the volume. Leading specialists in the field present novel ideas by employing various experimental methods in felicity judgments, eye tracking, self-paced readings, prosody and ERP. Particular attention is given to extensive crosslinguistc data (...) from French, Catalan and Korean along with analyses using semantic and pragmatic methods, corpus linguistics, diachronic perspectives, and longitudinal acquisitional studies as well as signed and gestural negation. Each contribution is situated with regards to major previous studies, thereby offering readers insights on the current state of the art in research on negation and negative polarity, highlighting how theory and data together contributes to the understanding of cognition and mind.. (shrink)

This paper introduces and explores a conservative extension of inquisitive logic. In particular, weak negation is added to the standard propositional language of inquisitive semantics, and it is shown that, although we lose some general semantic properties of the original framework, such an enrichment enables us to model some previously inexpressible speech acts such as weak denial and ‘might’-assertions. As a result, a new modal logic emerges. For this logic, a Fitch-style system of natural deduction is formulated. The main (...) result of this paper is a theorem establishing the completeness of the system with respect to inquisitive semantics with weak negation. At the conclusion of the paper, the possibility of extending the framework to the level of first order logic is briefly discussed. (shrink)

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)

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)

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)

An extension of intuitionism to empirical discourse, a project most seriously taken up by Dummett and Tennant, requires an empirical negation whose strength lies somewhere between classical negation (‘It is unwarranted that. . . ’) and intuitionistic negation (‘It is refutable that. . . ’). I put forward one plausible candidate that compares favorably to some others that have been propounded in the literature. A tableau calculus is presented and shown to be strongly complete.

This chapter is concerned with logical aspects of negation, i.e. with the role of negation in valid inferences and hence with the contribution negation makes to the truth and falsity conditions of declarative expressions. Negation is an important philosophical and logical concept. Often differences between logical systems can ‐ at least partially ‐ be described as differences between the notions of negation used in these logics.

A negação, no Tractatus, não pode ser tratada como um conceito, tal como acontecia em Frege e em Russell. Se isto acontecesse, p e ~~p deveriam ter sentidos composicionalmente diferentes. A negação não pode se resumir a uma relação lógica entre dois enunciados, pois ~p deve ser construída a partir de p, e não o contrário. A negação é algo que devemos fazer para obter uma proposição a partir de outra (5.23). Ela é produto de uma ação, mas esta ação (...) não pode ser natural (ou meramente humana). Ela deve ser atemporal.AbstractNegation, in the Tractatus, cannot be treated as a concept, as in Frege and Russell. If this were to happen, p and ~~p should have compositionally different meanings. Negation cannot be taken as a logical relationship between two propositions, since ~p must be constructed from p, not the other way round. Negation is something we must do to get one proposition from another (5.23). It is the product of anaction, but this action cannot be natural (or merely human). It must be atemporal. (shrink)

Many think that expressivists have a special problem with negation. I disagree. For if there is a problem with negation, I argue, it is a problem shared by those who accept some plausible claims about the nature of intentionality. Whether there is any special problem for expressivists turns, I will argue, on whether facts about what truth-conditions beliefs have can explain facts about basic inferential relations among those beliefs. And I will suggest that the answer to this last (...) question is, on most plausible attempts at solving the problem of intentionality, ‘no’. (shrink)

Many relevant logics can be conservatively extended by Boolean negation. Mares showed, however, that E is a notable exception. Mares’ proof is by and large a rather involved model-theoretic one. This paper presents a much easier proof-theoretic proof which not only covers E but also generalizes so as to also cover relevant logics with a primitive modal operator added. It is shown that from even very weak relevant logics augmented by a weak K-ish modal operator, and up to the (...) strong relevant logic R with a S5 modal operator, all fail to be conservatively extended by Boolean negation. The proof, therefore, also covers Meyer and Mares’ proof that NR—R with a primitive S4-modality added—also fails to be conservatively extended by Boolean negation. (shrink)

The hyper-Russellian skeptic is someone who thinks that only one of all your experiences was, is, and will ever be conscious. Which one? The very one you are having now. Before you were always a zombie, and you will be a zombie for ever after. In the present literature on the metaphysics of passage of time, there is disagreement on whether our feeling that time passes — the “dynamic flavor” of our ordinary experience — provides support to the A-theory, (...) that is, the thesis that the passage of time is an objective feature of reality. Lately, several philosophers have argued against this idea. In this paper I want to push this line of reasoning further by exploiting the hyper-Russellian scenario against the A-theory of time. (shrink)

Hyper tableau reasoning is a version of clausal form tableau reasoning where all negative literals in a clause are resolved away in a single inference step. Constrained hyper tableaux are a generalization of hyper tableaux, where branch closing substitutions, from the point of view of model generation, give rise to constraints on satisfying assignments for the branch. These variable constraints eliminate the need for the awkward ‘purifying substitutions’ of hyper tableaux. The paper presents a non-destructive and (...) proof confluent calculus for constrained hyper tableaux, together with a soundness and completeness proof, with completeness based on a new way to generate models from open tableaux. It is pointed out that the variable constraint approach applies to free variable tableau reasoning in general. (shrink)

Many relevant logics are conservatively extended by Boolean negation. Not all, however. This paper shows an acute form of non-conservativeness, namely that the Boolean-free fragment of the Boolean extension of a relevant logic need not always satisfy the variable-sharing property. In fact, it is shown that such an extension can in fact yield classical logic. For a vast range of relevant logic, however, it is shown that the variable-sharing property, restricted to the Boolean-free fragment, still holds for the Boolean (...) extended logic. (shrink)