We give a new characterization of the cardinal invariant $\mathfrak {d}$ as the minimal cardinality of a family $\mathcal {D}$ of tall summable ideals such that an ultrafilter is rapid if and only if it has non-empty intersection with all the ideals in the family $\mathcal {D}$. On the other hand, we prove that in the Miller model, given any family $\mathcal {D}$ of analytic tall p-ideals such that $\vert \mathcal {D}\vert <\mathfrak {d}$, there is an ultrafilter $\mathcal {U}$ which (...) is an $\mathscr {I}$ -ultrafilter for all ideals $\mathscr {I}\in \mathcal {D}$ at the same time, yet $\mathcal {U}$ is not a rapid ultrafilter. As a corollary, we obtain that in the Miller model, given any analytic tall p-ideal $\mathscr {I}$, $\mathscr {I}$ -ultrafilters are dense in the Rudin–Blass ordering, generalizing a theorem of Bartoszyński and S. Shelah, who proved that in such model, Hausdorff ultrafilters are dense in the Rudin–Blass ordering. This theorem also shows some limitations about possible generalizations of a theorem of C. Laflamme and J. Zhu. (shrink)

We investigate the effect of adding a single real on cardinal invariants associated with the continuum. We show:1. adding an eventually different or a localization real adjoins a Luzin set of size continuum and a mad family of size ω1;2. Laver and Mathias forcing collapse the dominating number to ω1, and thus two Laver or Mathias reals added iteratively always force CH;3. Miller's rational perfect set forcing preserves the axiom MA.

We prove that if I is a partially ordered set in a countable transitive model M of ZFC then M can be extended by a generic sequence of reals a i , i ∈ I, such that ℵ M 1 is preserved and every a i is Sacks generic over $\mathfrak{M}[\langle \mathbf{a}_j: j . The structure of the degrees of M-constructibility of reals in the extension is investigated. As applications of the methods involved, we define a cardinal invariant to distinguish (...) product and iterated Sacks extensions, and give a short proof of a theorem (by Budinas) that in ω 2 -iterated Sacks extension of L the Burgess selection principle for analytic equivalence relations holds. (shrink)

continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...) has been a defense against horror and madness. Kant's prohibition on speculative metaphysics such as dogmatic metaphysics and transcendental realism, on thinking beyond the imposition of transcendental and moral constraints, has been challenged by numerous figures proceeding him. One of the more interesting critiques of Kant comes from the mad black Deleuzianism of Nick Land stating, “Kant’s critical philosophy is the most elaborate fit of panic in the history of the Earth.” And while Alain Badiou would certainly be opposed to the libidinal investments of Land's Deleuzo-Guattarian thought, he is likewise critical of Kant's normative thought-bureaucracies: Kant is the one author for whom I cannot feel any kinship. Everything in him exasperates me, above all his legalism—always asking Quid Juris? Or ‘Haven’t you crossed the limit?’—combined, as in today’s United States, with a religiosity that is all the more dismal in that it is both omnipresent and vague. The critical machinery he set up has enduringly poisoned philosophy, while giving great succour to the academy, which loves nothing more than to rap the knuckles of the overambitious [….] That is how I understand the truth of Monique David-Menard’s reflections on the properly psychotic origins of Kantianism. I am persuaded that the whole of the critical enterprise is set up to to shield against the tempting symptom represented by the seer Swedenborg, or against ‘diseases of the head’, as Kant puts it. An entire nexus of the limits of reason and philosophy are set up here, namely that the critical philosophy not only defends thought from madness, philosophy from madness, and philosophy from itself, but that philosophy following the advent of the critical enterprise philosophy becomes auto-vampiric; feeding on itself to support the academy. Following Francois Laruelle's non-philosophical indictment of philosophy, we could go one step further and say that philosophy operates on the material of what is philosophizable and not the material of the external world. [1] Beyond this, the Kantian scheme of nestling human thinking between our limited empirical powers and transcendental guarantees of categorical coherence, forms of thinking which stretch beyond either appear illegitimate, thereby liquefying both pre-critical metaphysics and the ravings of the mad in the same critical acid. In rejecting the Kantian apparatus we are left with two entities – an unsure relation of thought to reality where thought is susceptible to internal and external breakdown and a reality with an uncertain sense of stability. These two strands will be pursued, against the sane-seal of post-Kantian philosophy by engaging the work of weird fiction authors H.P. Lovecraft and Thomas Ligotti. The absolute inhumanism of the formers universe will be used to describe a Shoggothic Materialism while the dream worlds of the latter will articulate the mad speculation of a Ventriloquil Idealism. But first we must address the relation of philosophy to madness as well as philosophy to weird fiction. /1/ – Philosophy and Madness There is nothing that the madness of men invents which is not either nature made manifest or nature restored. Michel Foucault. Madness and Civilization. The moment I doubt whether an event that I recall actually took place, I bring the suspicion of madness upon myself: unless I am uncertain as to whether it was not a mere dream. Arthur Schopenhauer. The World as Will and Idea, Vol. 3. Madness is commonly thought of as moving through several well known cultural-historical shifts from madness as a demonic or otherwise theological force, to rationalization, to medicalization psychiatric and otherwise. Foucault's Madness and Civilization is well known for orientating madness as a form of exclusionary social control which operated by demarcating madness from reason. Yet Foucault points to the possibility of madness as the necessity of nature at least prior to the crushing weight of the church. Kant’s philosophy as a response to madness is grounded by his humanizing of madness itself. As Adrian Johnston points out in the early pages of Time Driven pre-Kantian madness meant humans were seized by demonic or angelic forces whereas Kantian madness became one of being too human. Madness becomes internalized, the external demonic forces become flaws of the individual mind. Foucault argues that, while madness is de-demonized it is also dehumanized during the Renaissance, as madmen become creatures neither diabolic nor totally human reduced to the zero degree of humanity. It is immediately clear why for Kant, speculative metaphysics must be curbed – with the problem of internal madness and without the external safeguards of transcendental conditions, there is nothing to formally separate the speculative capacities for metaphysical diagnosis from the mad ramblings of the insane mind – both equally fall outside the realm of practicality and quotidian experience. David-Menard's work is particularly useful in diagnosing the relation of thought and madness in Kant's texts. David-Menard argues that in Kant's relatively unknown “An Essay on the Maladies of the Mind” as well as his later discussion of the Seer of Swedenborg, that Kant formulates madness primarily in terms of sensory upheaval or other hallucinatory theaters. She writes: “madness is an organization of thought. It is made possible by the ambiguity of the normal relation between the imaginary and the perceived, whether this pertains to the order of sensation or to the relations between our ideas” Kant's fascination with the Seer forces Kant between the pincers of “aesthetic reconciliation” – namely melancholic withdrawal – and “a philosophical invention” – namely the critical project. Deleuze and Guattari's schizoanalysis is a combination and reversal of Kant's split, where an aesthetic over engagement with the world entails prolific conceptual invention. Their embrace of madness, however, is of course itself conceptual despite all their rhizomatic maneuvers. Though they move with the energy of madness, Deleuze and Guattari save the capacity of thought from the fangs of insanity by imbuing materiality itself with the capacity for thought. Or, as Ray Brassier puts it, “Deleuze insists, it is necessary to absolutize the immanence of this world in such a way as to dissolve the transcendent disjunction between things as we know them and as they are in themselves”. That is, whereas Kant relied on the faculty of judgment to divide representation from objectivity Deleuze attempts to flatten the whole economy beneath the juggernaut of ontological univocity. Speculation, as a particularly useful form of madness, might fall close to Deleuze and Guattari’s shaping of philosophy into a concept producing machine but is different in that it is potentially self destructive – less reliant on the stability of its own concepts and more adherent to exposing a particular horrifying swath of reality. Speculative madness is always a potential disaster in that it acknowledges little more than its own speculative power with the hope that the gibbering of at least a handful of hysterical brains will be useful. Pre-critical metaphysics amounts to madness, though this may be because the world itself is mad while new attempts at speculative metaphysics, at post-Kantian pre-critical metaphysics, are well aware of our own madness. Without the sobriety of the principle of sufficient reason we have a world of neon madness: “we would have to conceive what our life would be if all the movements of the earth, all the noises of the earth, all the smells, the tastes, all the light – of the earth and elsewhere, came to us in a moment, in an instant – like an atrocious screaming tumult of things”. Speculative thought may be participatory in the screaming tumult of the world or, worse yet, may produce its spectral double. Against theology or reason or simply commonsense, the speculative becomes heretical. Speculation, as the cognitive extension of the horrorific sublime should be met with melancholic detachment. Whereas Kant's theoretical invention, or productivity of thought, is self -sabotaging, since the advent of the critical project is a productivity of thought which then delimits the engine of thought at large either in dogmatic gestures or non-systematizable empirical wondrousness. The former is celebrated by the fiction of Thomas Ligotti whereas the latter is espoused by the tales of H.P. Lovecraft. /2/ – Weird Fiction and Philosophy. Supernatural horror, in all its eerie constructions, enables a reader to taste treats inconsistent with his personal welfare. Thomas Ligotti Songs of a Dead Dreamer. I choose weird stories because they suit my inclination best—one of my strongest and most persistent wishes being to achieve,momentarily, the illusion of some strange suspension or violation of the galling limitations of time, space, and natural law which forever imprison us and frustrate our curiosity about the infinite cosmic spaces beyond the radius of our sight and analysis H.P. Lovecraft. “Notes on Writing Weird Fiction” Lovecraft states that his creation of a story is to suspend natural law yet, at the same time, he indexes the tenuousness of such laws, suggesting the vast possibilities of the cosmic. The tension that Lovecraft sets up between his own fictions and the universe or nature is reproduced within his fictions in the common theme of the unreliable narrator; unreliable precisely because they are either mad or what they have witnessed questions the bounds of material reality. In “The Call of Cthulhu” Lovecraft writes: The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the deadly light into the peace and safety of a new dark age. Despite Lovecraft's invocations of illusion, he is not claiming that his fantastic creations such as the Old Ones are supernatural but, following Joshi, are only ever supernormal. One can immediately see that instead of nullifying realism Lovecraft in fact opens up the real to an unbearable degree. In various letters and non-fictional statements Lovecraft espoused strictly materialist tenets, ones which he borrowed from Hugh Elliot namely the uniformity of law, the denial of teleology and the denial of non-material existence. Lovecraft seeks to explore the possibilities of such a universe by piling horror upon horror until the fragile brain which attempts to grasp it fractures. This may be why philosophy has largely ignored weird fiction – while Deleuze and Guattari mark the turn towards weird fiction and Lovecraft in particular, with the precursors to speculative realism as well as contemporary related thinkers have begun to view Lovecraft as making philosophical contributions. Lovecraft's own relation to philosophy is largely critical while celebrating Nietzsche and Schopenhauer. This relationship of Lovecraft to philosophy and philosophy to Lovecraft is coupled with Lovecraft's habit of mercilessly destroying the philosopher and the figure of the academic more generally in his work, a destruction which is both an epistemological destruction and an ontological destruction. Thomas Ligotti's weird fiction which he has designated as a kind of “confrontational escapism” might be best described in the following quote from one of his shortstories, “The human phenomenon is but the sum of densely coiled layers of illusion each of which winds itself on the supreme insanity. That there are persons of any kind when all there can be is mindless mirrors laughing and screaming as they parade about in an endless dream”. Whereas Lovecraft's weirdness draws predominantly from the abyssal depths of the uncharted universe, Ligotti's existential horror focuses on the awful proliferation of meaningless surfaces that is, the banal and every day function of representation. In an interview, Ligotti states: We don't even know what the world is like except through our sense organs, which are provably inadequate. It's no less the case with our brains. Our whole lives are motored along by forces we cannot know and perceptions that are faulty. We sometimes hear people say that they're not feeling themselves. Well, who or what do they feel like then? This is not to say that Ligotti sees nothing beneath the surface but that there is only darkness or blackness behind it, whether that surface is on the cosmological level or the personal. By addressing the implicit and explicit philosophical issues in Ligotti's work we will see that his nightmarish take on reality is a form of malevolent idealism, an idealism which is grounded in a real, albeit dark and obscure materiality. If Ligotti's horrors ultimately circle around mad perceptions which degrade the subject, it takes aim at the vast majority of the focus of continental philosophy. While Lovecraft's acidic materialism clearly assaults any romantic concept of being from the outside, Ligotti attacks consciousness from the inside: Just a little doubt slipped into the mind, a little trickle of suspicion in the bloodstream, and all those eyes of ours, one by one, open up to the world and see its horror [...] Not even the solar brilliance of a summer day will harbor you from horror. For horror eats the light and digests it into darkness. Clearly, the weird fiction of Lovecraft and Ligotti amount to a anti-anthrocentric onslaught against the ramparts of correlationist continental philosophy. /3/ – Shoggothic Materialism or the Formless Formless protoplasm able to mock and reflect all forms and organs and processes—viscous agglutinations of bubbling cells—rubbery fifteen-foot spheroids infinitely plastic and ductile—slaves of suggestion, builders of cities—more and more sullen, more and more intelligent, more and more amphibious, more and more imitative—Great God! What madness made even those blasphemous Old Ones willing to use and to carve such things? H.P. Lovecraft. “At the Mountains of Madness” On the other hand, affirming that the universe resembles nothing and is only formless amounts to saying that the universe is something like a spider or spit. Georges Bataille. “Formless”. The Shoggoths feature most prominently in H.P. Lovecraft's shortstory “At the Mountains of Madness” where they are described in the following manner: It was a terrible, indescribable thing vaster than any subway train – a shapeless congeries of protoplasmic bubbles, faintly self -luminous, and with myriads of temporary eyes forming and un-forming as pustules of greenish light all over the tunnel-filling front that bore down upon us, crushing the frantic penguins and slithering over the glistening floor that it and its kind had swept so evilly free of all litter. The term is a litmus test for materialism itself as the Shoggoth is an amorphous creature. The Shoggoths were living digging machines bio engineered by the Elder Things, and their protoplasmic bodies being formed into various tools by their hypnotic powers. The Shoggoths eventually became self aware and rose up against their masters in an ultimately failed rebellion. After the Elder Ones retreated into the oceans leaving the Shoggoths to roam the frozen wastes of the Antarctic. The onto-genesis of the Shoggoths and their gross materiality, index the horrifyingly deep time of the earth a concept near and dear to Lovecraft's formulation of horror as well as the fear of intelligences far beyond, and far before, the ascent of humankind on earth and elsewhere. The sickly amorphous nature of the Shoggoths invade materialism at large, where while materiality is unmistakably real ie not discursive, psychological, or otherwise overly subjectivist, it questions the relation of materialism to life. As Eugene Thacker writes: The Shoggoths or Elder Things do not even share the same reality with the human beings who encounter them—and yet this encounter takes place, though in a strange no-place that is neither quite that of the phenomenal world of the human subject or the noumenal world of an external reality. Amorphous yet definitively material beings are a constant in Lovecraft's tales. In his tale “The Dream-Quest of Unknown Kadatth” Lovecraft describes Azathoth as, “that shocking final peril which gibbers unmentionably outside the ordered universe,” that, “last amorphous blight of nethermost confusion which blashphemes and bubbles at the centre of all infinity,” who, “gnaws hungrily in inconceivable, unlighted chambers beyond time”. Azathoth's name may have multiple origins but the most striking is the alchemy term azoth which is both a cohesive agent and a acidic creation pointing back to the generative and the decayed. The indistinction of generation and degradation materially mirrors the blur between the natural and the unnatural as well as life and non-life. Lovecraft speaks of the tension between the natural and the unnatural is his short story “The Unnameable.” He writes, “if the psychic emanations of human creatures be grotesque distortions, what coherent representation could express or portray so gibbous and infamous a nebulousity as the spectre of a malign, chaotic perversion, itself a morbid blasphemy against Nature?”. Lovecraft explores exactly the tension outlined at the beginning of this chapter, between life and thought. At the end of his short tale Lovecraft compounds the problem as the unnameable is described as “a gelatin—a slime—yet it had shapes, a thousand shapes of horror beyond all memory”. Deleuze suggests that becoming-animal is operative throughout Lovecraft's work, where narrators feel themselves reeling at their becoming non-human or of being the anomalous or of becoming atomized. Following Eugene Thacker however, it may be far more accurate to say that Lovecraft's tales exhibit not a becoming-animal but a becoming-creature. Where the monstrous breaks the purportedly fixed laws of nature, the creature is far more ontologically ambiguous. The nameless thing is an altogether different horizon for thought. The creature is either less than animal or more than animal – its becoming is too strange for animal categories and indexes the slow march of thought towards the bizarre. This strangeness is, as aways, some indefinite swirling in the category of immanence and becoming. Bataille begins “The Labyrinth” with the assertion that being, to continue to be, is becoming. More becoming means more being hence the assertion that Bataille's barking dog is more than the sponge. This would mean that the Shoggotth is altogether too much being, too much material in the materialism. Bataille suggests that there is an immanence between the eater and the eaten, across the species and never within them. That is, despite the chaotic storm of immanence there must remain some capacity to distinguish the gradients of becoming without reliance upon, or at least total dependence upon, the powers of intellection to parse the universe into recognizable bits, properly digestible factoids. That is, if we undo Deleuze's aforementioned valorization of sense which, for his variation of materialism, performed the work of the transcendental, but refuse to reinstate Kant's transcendental disjunction between thing and appearance, then it must be a quality of becoming-as-being itself which can account for the discernible nature of things by sense. In an interview with Peter Gratton, Jane Bennett formulates the problem thusly: What is this strange systematicity proper to a world of Becoming? What, for example, initiates this congealing that will undo itself? Is it possible to identify phases within this formativity, plateaus of differentiation? If so, do the phases/plateaus follow a temporal sequence? Or, does the process of formation inside Becoming require us to theorize a non-chronological kind of time? I think that your student’s question: “How can we account for something like iterable structures in an assemblage theory?” is exactly the right question. Philosophy has erred too far on the side of the subject in the subject-object relation and has furthermore, lost the very weirdness of the non-human. Beyond this, the madness of thought need not override. /4/ - Ventriloquial Idealism or the Externality of Thought My aim is the opposite of Lovecraft's. He had an appreciation for natural scenery on earth and wanted to reach beyond the visible in the universe. I have no appreciation for natural scenery and want the objective universe to be a reflection of a character. Thomas Ligotti. “Devotees of Decay and Desolation.” Unless life is a dream, nothing makes sense. For as a reality, it is a rank failure [….] Horror is more real than we are. Thomas Ligotti. “Professor Nobody's Little Lectures on Supernatural Horror”. Thomas Ligotti's tales are rife with mannequins, puppets, and other brainless entities which of replace the valorized subject of philosophy – that of the free thinking human being. His tales such as “The Dream of the Manikin” aim to destroy the rootedness of consciousness. James Trafford has connected the anti-egoism of Ligotti to Thomas Metzinger – where the self is at best an illusion and we plead desperately for someone else to acknowledge that we are real. Trafford has stated it thus, “Life is played out as an inescapable puppet show, an endless dream in which the puppets are generally unaware that they are trapped within a mesmeric dance of whose mechanisms they know nothing and over which they have no control”. An absolute materialism, for Ligotti, implies an alienation of the idea which leads to a ventriloquil idealism. As Ligotti notes in an interview, “the fiasco and nightmare of existence, the particular fiasco and nightmare of human existence, the sense that people are puppets of powers they cannot comprehend, etc.” And then further elaborates that,“[a]ssuming that anything has to exist, my perfect world would be one in which everyone has experienced the annulment of his or her ego. That is, our consciousness of ourselves as unique individuals would entirely disappear”. The externality of the idea leads to the unfortunate consequence of consciousness eating at itself through horror which, for Ligotti, is more real than reality and goes beyond horror-as-affect. Beyond this, taking together with the unreality of life and the ventriloquizing of subjectivity, Ligotti's thought becomes an idealism in which thought itself is alien and ultimately horrifying. The role of human thought and the relation of non-relation of horror to thought is not completely clear in Ligotti's The Conspiracy Against the Human Race. Ligotti argues in his The Conspiracy Against the Human Race,that the advent of thought is a mistake of nature and that horror is being in the sense that horror results from knowing too much. Yet, at the same time, Ligotti seems to suggest that thought separates us from nature whereas, for Lovecraft, thought is far less privileged – mind is just another manifestation of the vital principal, it is just another materialization of energy. In his brilliant “Prospects for Post-Copernican Dogmatism” Iain Grant rallies against the negative definition of dogmatism and the transcendental, and suggests that negatively defining both over-focuses on conditions of access and subjectivism at the expense of the real or nature. With Schelling, who is Grant's champion against the subjectivist bastions of both Fichte and Kant, Ligotti's idealism could be taken as a transcendental realism following from an ontological realism. Yet the transcendental status of Ligotti's thought move towards a treatment of the transcendental which may threaten to leave beyond its realist ground. Ligotti states: Belief in the supernatural is only superstition. That said, a sense of the supernatural, as Conrad evidenced in Heart of Darkness, must be admitted if one's inclination is to go to the limits of horror. It is the sense of what should not be- the sense of being ravaged by the impossible. Phenomenally speaking, the super-natural may be regarded as the metaphysical counterpart of insanity, a transcendental correlative of a mind that has been driven mad. Again, Ligotti equates madness with thought, qualifying both as supernatural while remaining less emphatic about the metaphysical dimensions of horror. The question becomes one of how exactly the hallucinatory realm of the ideal relates to the black churning matter of Lovecraft's chaos of elementary particles. In his tale “I Have a Special Plan for This World” Ligotti formulates thus: A: There is no grand scheme of things. B: If there were a grand scheme of things, the fact – the fact – that we are not equipped to perceive it, either by natural or supernatural means, is a nightmarish obscenity. C: The very notion of a grand scheme of things is a nightmarish obscenity. Here Ligotti is not discounting metaphysics but implying that if it does exist the fact that we are phenomenologically ill-equipped to perceive that it is nightmarish. For Ligotti, nightmare and horror occur within the circuit of consciousness whereas for Lovecraft the relation between reality and mind is less productive on the side of mind. It is easier to ascertain how the Kantian philosophy is a defense against the diseases of the head as Kant armors his critical enterprise from too much of the world and too much of the mind. The weird fiction of both Lovecraft and Ligotti demonstrates that there is too much of both feeding into one another in a way that corrodes the Kantian schema throughly, breaking it down into a dead but still ontologically potentiated nigredo. The haunting, terrifying fact of Ligotti's idealism is that the transcendental motion which brought thought to matter, while throughly material and naturalized, brings with it the horror that thought cannot be undone without ending the material that bears it either locally or completely. Thought comes from an elsewhere and an elsewhen being-in-thought. The unthinkable outside thought is as maddening as the unthought engine of thought itself within thought which doesn't exist except for the mind, the rotting décor of the brain. /5/ - Hyperstitional Transcendental Paranoia or Self -Expelled Thought Weird fiction has been given some direct treatment in philosophy in the mad black Deleuzianism of Nick Land. Nick Land along with others in the 1990s created the Cyber Culture Research Unit as well as the research group Hyperstition. The now defunct hyperstitional website, an outgrowth of the Cyber Culture Research Unit, defined hyperstition in the following fourfold: 1-Element of effective culture that makes itself real. 2-Fictional quantity functional as a time-traveling device. 3-Coincidence intensifier. 4-Call to the Old Ones. The distinctively Lovecraftian character of hyperstition is hard to miss as is its Deleuzo-Guattarian roots. In the opening pages of A Thousand Plateaus Deleuze and Guattari write, “We have been criticized for over-quoting literary authors. But when one writes, the only question is which other machine the literary machine can be plugged into”. The indisinction of literature and philosophy mirrors the mess of being and knowing as post-correlationist philosophy, where philosophy tries to make itself real where literature, especially the weird, aims itself at the brain-circuit of horror. The texts of both Lovecraft and Ligotti work through horror as epistemological plasticity meeting with proximity as well as the deep time of Lovecraft and the glacially slow time of paranoia in Ligotti. Against Deleuze, and following Brassier, we cannot allow the time of consciousness, the Bergsonian time of the duree, to override natural time, but instead acknowledge that it is an unfortunate fact of existence as a thinking being. Horror-time, the time of consciousness, with all its punctuated moments and drawn out terrors, cannot compare to the deep time of non-existence both in the unreachable past and the unknown future. The crystalline cogs of Kant's account of experience as the leading light for the possibility of metaphysics must be throughly obliterated. His gloss of experience in Prolegomena to any Future Metaphysics could not be more sterile: Experience consists of intuitions, which belong to the sensibility, and of judgments, which are entirely a work of the understanding. But the judgments which the understanding makes entirely out of sensuous intuitions are far from being judgments of experience. For in the one case the judgment connects only the perceptions as they are given in sensuous intuition [....] Experience consists in the synthetic connection of appearances in consciousness, so far as this connection is necessary. Here it is difficult to dismiss the queasiness that Kant's legalism induces upon sight for both Badiou and David-Menard. Kant's thought becomes, as Foucault says when reflecting on Sade's text in relation to nature, “the savage abolition of itself”. For Badiou, Kant's philosophy simply closes off too much of the outside, freezing the world of thought in an all too limited formalism. Critical philosophy is simply the systematized quarantine on future thinking, on thinking which would threaten the formalism which artificially grants thought its own coherency in the face of madness. Even the becoming-mad of Deleuze, while escaping the rumbling ground, makes grounds for itself, mad grounds but grounds which are thinkable in their affect. The field of effects allows for Deleuze's aesthetic and radical empiricism, in which effects and/or occasions make up the material of the world to be thought as a chaosmosis of simulacra. Given a critique of an empiricism of aesthetics, of the image, it may be difficult to justify an attack on Kantian formalism with the madness of literature, which does not aim to make itself real but which we may attempt to make real. That is, how do Lovecraft's and Ligotti's materials, as materials for philosophy to work on, differ from either the operative formalisms of Kant or the implicitly formalized images of Deleuzian empiricism? It is simply that such texts do not aim to make themselves real, and make claims to the real which are more alien to us than familiar, which is why their horror is immediately more trustworthy. This is the madness which Blanchot discusses in The Infinite Conversation through Cervantes and his knight – the madness of book-life, of the perverse unity of literature and life a discussion which culminates in the discussion of one of the weird's masters, that of Kafka. The text is the knowing of madness, since madness, in its moment of becoming-more-mad, cannot be frozen in place but by the solidifications of externalizing production. This is why Foucault ends his famous study with works of art. Furthermore extilligence, the ability to export the products of our maligned brains, is the companion of the attempts to export, or discover the possibility of intelligences outside of our heads, in order for philosophy to survive the solar catastrophe. To borrow again from Deleuze, writing is inseparable from becoming. The mistake is to believe that madness is reabsorbed by extilligence, by great works, or that it could be exorcised by the expelling of thought into the inorganic or differently organic. Going out of our heads does not guarantee we will no longer mean we cannot still go out of our minds. This is simply because of the outside, of matter, or force, or energy, or thing-in-itself, or Schopenhauerian Will. In Lovecraft’s “The Music of Erich Zahn” an “impoverished student of metaphysics” becomes intrigued by strange viol music coming from above his room. After meeting the musician the student discovers that each night he plays frantic music at a window in order to keep some horridness at bay, some “impenetrable darkness with chaos and pandemonium”. The aesthetic defenses provided by the well trained brain can bear the hex of matter for so long, the specter of unalterability within it which too many minds obliterate, collapsing everything before the thought of thought as thinkable or at least noetically mutable on our own terms. Transcendental paranoia is the concurrent nightmare and promise of Paul Humphrey's work, of being literally out of our minds. It is the gothic counterpart of thinking non-conceptually but also of thinking never belonging to any instance of purportedly solid being. As Bataille stated, “At the boundary of that which escapes cohesion, he who reflects within cohesion realizes there is no longer any room for him” Thought is immaterial only to the degree that it is inhuman, it is a power that tries, always with failure, to ascertain its own genesis. Philosophy, if it can truly return to the great outdoors, if it can leave behind the dead loop of the human skull, must recognize not only the non-priority of human thought, but that thought never belongs to the brain that thinks it, thought comes from somewhere else. To return to the train image from the beginning “a locomotive rolling on the surface of the earth is the image of continuous metamorphosis” this is the problem of thought, and of thinking thought, of being no longer able to isolate thought, with only a thought-formed structure. [1] One of the central tenets of Francois Laruelle's non-philosophy is that philosophy has traditionally operated on material already presupposed as thinkable instead of trying to think the real in itself. Philosophy, according to Laruelle, remains fixated on transcendental synthesis which shatters immanence into an empirical datum and an a prori factum which are then fused by a third thing such as the ego. For a critical account of Laruelle's non-philosophy see Ray Brassier's Nihil Unbound. (shrink)

Dean Zimmerman has made significant contributions to metaphysics, philosophy of time, and philosophy of religion. In this paper, I set my focus on Zimmerman’s approach to God, time, and creation. Zimmerman has defended a model of God called open theism on which God is essentially temporal. In this paper, I will first articulate open theism. Then I will explore a series of puzzles related to God’s perfect rationality and creation. These can be stated as the following three questions. Why (...) didn’t God create sooner? Why did God create anything at all? Why did God create this universe in particular? (shrink)

In retrospect, I think I was right to compose Natural Supernaturalism by relying on taste, tact, and intuition rather than on a controlling method. A book of this kind, which deals with the history of human intellection, feeling, and imagination, employs special vocabularies, procedures, and modes of demonstration which, over many centuries of development, have shown their profitability when applied to matters of this sort. I agree with Booth that these procedures, when valid, are in a broad sense rational, (...) and subject to analysis and some degree of definition. But the rules underlying such a discourse are complex, elusive, unsystematic, and subject to innovative modification; they manifest themselves in the intuitive expertise of the historian; and the specification of these rules should not precede, but follow practice. . . . After the fact, nevertheless, a book like Natural Supernaturalism is subject to close critical inquiry about its methods and rationale. I am grateful to Booth for opening up such an inquiry, and for doing so in a way that is not only disarming, but seems to me to be the most promising of useful results. That is, instead of adopting a prosecutorial stance, demanding: "Justify the rationality and probative force of what you have done; it looks dammed suspicious to me," he has adopted the friendly tactic of saying: "Your book, in my experience of it, has yielded discoveries that I want to call knowledge, by methods, however deviant from standard rubrics of valid reasoning, that it seems irrational to call non-rational. Let's set out to clarify what these methods are, and to see what grounds we can find for the claim that they provide warranted knowledge." M.H. Abrams' contributions to Critical Inquiry are "The Deconstructive Angel" and "Behaviorism and Deconstruction: A Comment on Morse Peckham's 'The Infinitude of Pluralism'". (shrink)

In this paper, I will discuss boulesic and deontic logic and the relationship between these branches of logic. By ‘boulesic logic,’ or ‘the logic of the will,’ I mean a new kind of logic that deals with ‘boulesic’ concepts, expressions, sentences, arguments and systems. I will concentrate on two types of boulesic expression: ‘individual x wants it to be the case that’ and ‘individual x accepts that it is the case that.’ These expressions will be symbolised by two sentential operators (...) that take individuals and sentences as arguments and give sentences as values. Deontic logic is a relatively well-established branch of logic. It deals with normative concepts, sentences, arguments and systems. In this paper, I will show how deontic logic can be grounded in boulesic logic. I will develop a set of semantic tableau systems that include boulesic and alethic operators, possibilist quantifiers and the identity predicate; I will then show how these systems can be augmented by a set of deontic operators. I use a kind of possible world semantics to explain the intended meaning of our formal systems. Intuitively, we can think of our semantics as a description of the structure of a perfectly rational will. I mention some interesting theorems that can be proved in our systems, including some versions of the so-called hypothetical imperative. Finally, I show that all systems that are described in this paper are sound and complete with respect to their semantics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 27.2 (2003) 284-303 [Access article in PDF] Accidental Art:Tolstoy's Poetics of Unintentionality Michael A. Denner I ART'S ABILITY TO INFECT another with an emotion, the concept that has come to be probably the most readily identified catchphrase in What Is Art? (though it crops up in his earlier writings on art), derives from L. N. Tolstoy's dynamic identity claim about art: we know an artist has (...) created a genuine work of art when he "hands on to others feelings he has lived through, and that others are infected by these feelings and also experience them." 1 "What is art?" is then a taxonomical question, and, according to Tolstoy, art is identifiable from non-art not by some set of external characteristics—the way, say, Aristotle categorized animals in his natural history—rather art is recognizable by its function, by what it does. In this sense art is like a tool: A given thing is art because it performs a certain task, much as one might claim a screwdriver is anything that sets and removes screws, regardless of its external characteristics. Tolstoy, in fact, repeatedly refers to art as "orudie," "a tool," or even "a weapon."It is worth noting from the outset that this metaphor of contagiousness is one of sublimated violence. For its passive "perceiver" (Tolstoy's characteristic term for the consumer of art), art amounts to irresistible, surreptitious emotional manipulation by an external entity. Tolstoy is ever attentive to the underlying meanings of the words he chooses, and I think he means to emphasize the latent, etymological meaning of the zarazit', to infect, the root of which is razit', to strike, a military term that likely resonated with Tolstoy, a war veteran. 2 Etymological arguments aside, Tolstoy makes explicit the psychological violation that goes hand-in-hand [End Page 284] with the experience of a work of art in a diary entry from a period of work on an earlier variant of What Is Art?: "One must hone the artistic work so that it penetrates. To hone a work means to make it perfect artistically, in which case it will pierce through the indifference...." 3 In an earlier version of the essay, Tolstoy offers "hypnotism" as a synonym for infection (p. 53).With its ability to "penetrate" through indifference and colonize, willy-nilly, the other, art accomplishes directly and immediately what no amount of rational argument could accomplish: "Art is differentiated from the activity of rational activity, which demands preparation and a certain sequence of knowledge (so that one cannot learn trigonometry before knowing geometry), by the fact that it acts on people independently of their state of development and education, that the charm of a picture, of sounds, or of forms, infects any man whatever his plane of development" (p. 178).The effect of art does not depend on some graduated, sequential process as it does for rational activity: art's infectiousness is immediate and irresistible. According to What Is Art?, the summum bonum of art's infectiousness, its best use, but notably not its only, is bringing about the Kingdom of God by effecting a change in the psychology of all the individuals who experience it. "Religious art," Tolstoy's supreme category of art, surmounts the (ultimately illusory for Tolstoy) individuality of the perceiver by inducing in him or her an emotional union with the artist and all others who have experienced the work of art, thereby inducting all perceivers into the universal collective of humankind: "In this freeing of our personality from its separation from other people, from its isolation, in this uniting of personality with others, lies the chief characteristic and the great attractive force of art" (p. 228). Art is a sacrament and the artist a priest of sorts.It is often said, even by those who have read the work, that Tolstoy "rejected" art in the last decades of his life, and What Is Art? is often cited as evidence. Granted, much of the book excoriates much of the art of the ages, but one must not... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Passion and Action: The Emotions in Seventeenth-Century Philosophy by Susan JamesRichard A. WatsonSusan James. Passion and Action: The Emotions in Seventeenth-Century Philosophy. New York: Oxford University Press, 1997. Pp. vii + 318. Cloth, $35.00.Susan James shows how during the seventeenth century philosophers moved from the three souls of Aristotle and the tripartite soul of Thomas Aquinas in which passions and reasons compete for the attention of the will, (...) to a Cartesian view of man as a single soul in union with the body who wills under the influence of both passions and reasons, to a Hobbesian view that the soul is the body and that the bodily motions we call reasons and passions are desires; acts of will are merely the deciding desires in deterministic causal sequences of the material motions of the body that constitute desires. This sets up the contemporary view that, motions are caused by desires and beliefs, leaving behind the difficulties of integrating with one another Aristotelian souls, Thomistic faculties, and Cartesian mind and body. James conceives of this evolution as one of unification of mental and bodily powers, and of integration of the active and passive powers of the mind. This concourse also represents a development from theories meant to explain to theories calculated for control and finally to theories facilitating therapy. Aristotle and Thomas adapted their ontologies to perceived differences in powers and faculties, while Descartes and Hobbes worked toward an ideal of unity of science and nature. The Christian Descartes brought together all the substances and powers of nature under a single extended matter divided into parts by the single force of motion, but he excepted the human soul with its power of will to alter the course of nature. The atheist Hobbes simply dispensed with supernatural [End Page 168] mental substance and occult power of will in order to integrate the whole of nature (including sensing and reasoning) under a cause and effect sequence of moving material bodies in which the last desire in a sequence of human bodily motions is designated as an act of will.James intends her book “as a contribution to the reinstatement of the emotions within philosophy, to the… opinion that we need to take account of our emotional life if we are to understand… moral motivation and growth, the springs of action (rational and otherwise), and the nature of reasoning” (22). She agrees that the sharp division between ideas and passions or emotions is properly abolished to be replaced by the view that all ideas have an emotional component, and all passions an ideational component. This fits with the parallel development of the notion that all sensible perceptions are propositional, and the somewhat less widespread notion that all concepts have a sensible component.But did this development result in a view of passions and ideas, learning and knowing, thinking and action, that is more true to nature than Aristotelian ontology? It is very hard to answer this question, and despite her sympathies with the notion that all human thought is both conceptual and emotional, James does not try. The reason we don’t know lies under the surface of the movement from Aristotle to Hobbes (i.e., to Daniel Dennett) like a monster in the deep. The monster is the monotheistic God, the perfection and unity of which underlies the Western drive to a unitary view of nature including man. The possibility that this God could be a deceiver, and so all our sensations and ideas might not represent the real world, set up Cartesianism and modern hypothetico-deductive science. But lurking throughout James’ book is a more palpable dreadnought, a demoness, the woman Eve. The female is responsible for the Fall of Man, and thus the fear and suspicion of women that suffuses patriarchic Christianity, and is expressed openly by such philosophers as Malebranche. Bodily passions and emotions (particularly the concupiscent ones) are nasty, evil, irrational, overpowering; to wit, they are feminine. They are not to be trusted, and must be subdued. So while still driven by ideals of monotheism, Descartes and Hobbes do move beyond the dogmatic Christian association of the emotions with female treachery. Even so... (shrink)

Brendle, J., H. Judah and S. Shelah, Combinatorial properties of Hechler forcing, Annals of Pure and Applied Logic 59 185–199. Using a notion of rank for Hechler forcing we show: assuming ωV1 = ωL1, there is no real in V[d] which is eventually different from the reals in L[ d], where d is Hechler over V; adding one Hechler real makes the invariants on the left-hand side of Cichoń's diagram equal ω1 and those on the right-hand side equal (...) 2ω and produces a maximal almost disjoint family of subsets of ω of size ω1; there is no perfect set of random reals over V in V[ r][ d], where r is random over V and d Hechler over V[r], thus answering a question of the first and second authors. (shrink)

On the supposition that one’s ethics and politics are fundamentally dignitarian in a broadly Kantian sense—as specifically opposed to identitarian and capitalist versions of Statism, e.g., neoliberal nation-States, whether democratic or non-democratic—hence fundamentally non-coercive and non-violent, then is self-defense or the defense of innocent others, using force, ever rationally justifiable and morally permissible or obligatory? We think that the answer to this hard question is yes; correspondingly, in this essay we develop and defend a theory about the permissible use of (...) force in a broadly Kantian dignitarian moral and political setting, including its extension to non-violent civil disobedience in the tradition of Martin Luther King, Jr; and perhaps surprisingly, we also import several key insights from Samurai and Martial Arts ethics into our theory. (shrink)

An important technique in large cardinal set theory is that of extending an elementary embedding j: M → N between inner models to an elementary embedding j*: M[G] → N[G*] between generic extensions of them. This technique is crucial both in the study of large cardinal preservation and of internal consistency. In easy cases, such as when forcing to make the GCH hold while preserving a measurable cardinal (via a reverse Easton iteration of α-Cohen forcing for successor cardinals (...) α), the generic G* is simply generated by the image of G. But in difficult cases, such as in Woodin's proof that a hypermeasurable is sufficient to obtain a failure of the GCH at a measurable, a preliminary version of G* must be constructed (possibly in a further generic extension of M[G]) and then modified to provide the required G*. In this article we use perfect trees to reduce some difficult cases to easy ones, using fusion as a substitute for distributivity. We apply our technique to provide a new proof of Woodin's theorem as well as the new result that global domination at inaccessibles (the statement that d (κ) is less than 2κ for inaccessible κ, where d (κ) is the dominating number at κ) is internally consistent, given the existence of 0#. (shrink)

We investigate the notion of strong measure zero sets in the context of the higher Cantor space $2^\kappa $ for $\kappa $ at least inaccessible. Using an iteration of perfect tree forcings, we give two proofs of the relative consistency of $$\begin{align*}|2^\kappa| = \kappa^{++} + \forall X \subseteq 2^\kappa:\ X \textrm{ is strong measure zero if and only if } |X| \leq \kappa^+. \end{align*}$$ Furthermore, we also investigate the stronger notion of stationary strong measure zero and show that the (...) equivalence of the two notions is undecidable in ZFC. (shrink)

We study some properties of the quotient forcing notions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${Q_{tr(I)} = \wp(2^{< \omega})/tr(i)}$$\end{document} and PI = B(2ω)/I in two special cases: when I is the σ-ideal of meager sets or the σ-ideal of null sets on 2ω. We show that the remainder forcing RI = Qtr(I)/PI is σ-closed in these cases. We also study the cardinal invariant of the continuum \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak{h}_{\mathbb{Q}}}$$\end{document}, (...) the distributivity number of the quotient \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${Dense(\mathbb{Q})/nwd}$$\end{document}, in order to show that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\wp(\mathbb{Q})/nwd}$$\end{document} collapses \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak{c}}$$\end{document} to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak{h}_{\mathbb{Q}}}$$\end{document}, thus answering a question addressed in Balcar et al. (Fundamenta Mathematicae 183:59–80, 2004). (shrink)

Practical rationality is best regarded as a virtue: an excellence in the exercise of one’s cognitive capacities in one’s practical endeavors. The author develops this idea so as to yield a Humean conception of practical rationality. Nevertheless, one of the crucial features of the approach is not distinctively Humean and sets it apart from the most familiar neo‐Humean approaches: an agent’s practical rationality has to do with the presence and form of his cognitive activity, as well as with how it (...) engages his emotional and motivational states, rather than with the impact that his actions have on his utility or with how his actions relate to his expected utility. The approach also contrasts with full‐information accounts of rationality. The paper ends with a discussion of our interest in operating with the conception of practical rationality that emerges from this approach, even if it is so demanding that it would be humanly impossible to be perfectly practically rational. (shrink)

The thesis of the present volume is critical and dual. (1) Present day philosophy of man and sciences of man suffer from the Greek mis taken polarization of everything human into nature and convention which is (allegedly) good and evil, which is (allegedly) truth and fal sity, which is (allegedly) rationality and irrationality, to wit, the polar ization of all fields of inquiry, the natural and social sciences, as well as ethics and all technology, whether natural or social, into the (...) totally positive and the totally negative. (2) Almost all philosophy and sci ences of man share the erroneous work ethic which is the myth of man's evil nature - the myth of the beast in man, the doctrine of original sin. To mediate or to compromise between the first view of human nature as good with the second view of it as evil, sociologists have devised a modified utilitarianism with deferred gratification so called, and the theory of the evil of artificial competition (capitalist and socialist alike) and of keeping up with the Joneses. Now, the mediation is not necessary. For, the polarization makes for abstract errors which are simplistic views of rationality, such as reductionism and positivism of all sorts, as well as for concrete errors, such as the disposition to condemn repeatedly those human weaknesses which are inevitable, namely man's inability to be perfectly rational, avoid all error, etc. , thus setting man against himself as all too wicked. (shrink)

The need for rationing of clinical services and medical resources is a crucial issue facing healthcare systems. On most accounts, the demand for medical services vastly exceeds what can be provided on limited budgets, requiring difficult decisions about which services should and should not be provided to patients, whether patients might have to bear some of the cost of the services they use, and on what basis rationing decisions should be made. At the same time, we know that healthcare systems (...) are far from perfectly efficient; some of the expenditures of healthcare systems are wasteful and bring no benefits at all to patients. In light of the evidence of such inefficiencies within healthcare systems, it may seem problematic to insist on the importance of rationing: can it really be appropriate to deny patients beneficial services while inefficiencies remain within the system?1This is the question Strech and Danis take on in their paper, ‘How can bedside rationing be justified despite coexisting inefficiency? The need for “benchmarks of efficiency”’. As they highlight, the evidence about inefficiencies within the healthcare system is sometimes taken to undermine the legitimacy of rationing. Their response focuses on the implications of particular clinicians’ involvement in both inefficient decisions and bedside rationing: if clinicians cause or contribute to inefficiencies in the system—for example by prescribing more expensive ‘brand name’ medication instead of equally effective but cheaper generic drugs—is it legitimate for them also to make, or be involved in, rationing decisions? Strech and Danis argue that even though no healthcare system can be fully efficient, clinicians must make ‘sufficient’ efforts to reduce inefficiencies within their own realm of decision-making if their engagement in rationing decisions is to be legitimate. They offer a set of ‘benchmarks’ against which we can judge whether or not such efforts should …. (shrink)

Cognitive science views thought as computation; and computation, by its very nature, can be understood in both rational and mechanistic terms. In rational terms, a computation solves some information processing problem (e.g., mapping sensory information into a description of the external world; parsing a sentence; selecting among a set of possible actions). In mechanistic terms, a computation corresponds to causal chain of events in a physical device (in engineering context, a silicon chip; in biological context, the nervous system). (...) The discipline is thus at the interface between two very different styles of explanation—as the papers in the current special issue well illustrate, it explores the interplay of rational and mechanistic forces. (shrink)

In this volume Paul Formosa sets out a novel approach to Kantian ethics as an ethics of dignity by focusing on the Formula of Humanity as a normative principle distinct from the Formula of Universal Law. By situating the Kantian conception of dignity within the wider literature on dignity, he develops an important distinction between status dignity, which all rational agents have, and achievement dignity, which all rational agents should aspire to. He then explores constructivist and realist views (...) on the foundation of the dignity of rational agents, before developing a compelling account of who does and does not have status dignity and of what kind of achievement dignity or virtue we, as vulnerable rational agents, can and should strive for. His study will be highly valuable for those interested in Kant's ethical, moral and political philosophies. (shrink)

This book was first published in 1984, as the revised edition of a 1979 original. The text is composed of studies in a descending sequence from perfect rationality, through imperfect and problematical rationality, to irrationality. Specifically human rationality is characterized by its capacity to relate strategically to the future, in contrast to the myopic 'gradient climbing' of natural selection. There is trenchant analysis of some of the parallels proposed in this connection between the biological and the social sciences. In (...) the chapter on imperfect rationality the crucial notion is that of 'binding oneself', as Ulysses did before setting out to the Sirens, when weakness of will may prevent us from using our capacity for perfect rationality. The second half of the book deals with rational-actor theory, comparing its logical power and success to rival approaches, and with the varieties of irrationality expressed in contradictory beliefs and desires. (shrink)

We extend work of H. Friedman, L. Harrington and P. Welch to the third level of the projective hierarchy. Our main theorems say that (under appropriate background assumptions) the possibility to select definable elements of non-empty sets of reals at the third level of the projective hierarchy is equivalent to the disjunction of determinacy of games at the second level of the projective hierarchy and the existence of a core model (corresponding to this fragment of determinacy) which must then contain (...) all real numbers. The proofs use Sacks forcing with perfect trees and core model techniques. (shrink)

In this paper, I explain and defend Karol Wojtyła’s claim that “if we wish to speak rationally about good and evil, we have to return to the philosophyof being. If we do not set out from such ‘realist’ presuppositions, we end up in a vacuum.” I begin by outlining Wojtyła’s existential understanding of the good,according to which the good for x is found in those ends that complete the being that is lacking in x, or that enhance its existence in (...) keeping with its nature. Then I explain how Wojtyła moves from an existentialunderstanding of the good to the thesis that “exemplarism is the very heart of the normative order.” Finally, using representative thinkers from both the Continentaland Analytic traditions, I defend Wojtyła’s claim that when we divorce goodness from being we end up in a moral vacuum, in a kind of nihilism wherethe good signifies nothing other than the rationalized articulation of one’s subjective needs, desires, or wishes. In such a state, the only means for resolving moraldisagreements is through the consensus of the majority or the forceful rule of the strongest will. (shrink)

In this paper, I explain and defend Karol Wojtyła’s claim that “if we wish to speak rationally about good and evil, we have to return to the philosophy of being. If we do not set out from such ‘realist’ presuppositions, we end up in a vacuum.” I begin by outlining Wojtyła’s existential understanding of the good, according to which the good for x is found in those ends that complete the being that is lacking in x, or that enhance its (...) existence in keeping with its nature. Then I explain how Wojtyła moves from an existential understanding of the good to the thesis that “exemplarism is the very heart of the normative order.” Finally, using representative thinkers from both the Continental and Analytic traditions, I defend Wojtyła’s claim that when we divorce goodness from being we end up in a moral vacuum, in a kind of nihilism where the good signifies nothing other than the rationalized articulation of one’s subjective needs, desires, or wishes. In such a state, the only means for resolving moral disagreements is through the consensus of the majority or the forceful rule of the strongest will. (shrink)

Kantians often talk about the capacity to set ends for oneself through reason and those who do assume that Kant regarded the capacity to set ends as a rational power or a component of practical reason. ‘Natural perfection’, Kant says, ‘is the cultivation of any capacities whatever for furthering ends set forth by reason’, and he refers to ‘humanity’ as the ‘capacity to set oneself any end at all’ or ‘the capacity to realize all sorts of possible ends’.¹ ‘Humanity’ (...) comprises the full range of human rational capacities, one of which is the capacity to adopt a wide variety of ends, including ends that are not morally required by pure practical reason.² Likewise Kant refers to ‘culture’ as ‘the aptitude and skill for all sorts of ends for which he can use nature (internal and external)’, or as ‘the production of the aptitude of a rational being for any ends in general (thus those of his freedom).’³ Christine Korsgaard characterizes ‘humanity’ as follows. (shrink)

The stationary set splitting game is a game of perfect information of length ω1 between two players, unsplit and split, in which unsplit chooses stationarily many countable ordinals and split tries to continuously divide them into two stationary pieces. We show that it is possible in ZFC to force a winning strategy for either player, or for neither. This gives a new counterexample to Σ22 maximality with a predicate for the nonstationary ideal on ω1, and an example of a (...) consistently undetermined game of length ω1 with payoff de.nable in the second-order monadic logic of order. We also show that the determinacy of the game is consistent with Martin's Axiom but not Martin's Maximum. (shrink)

What does it mean for something to be rational? In deciding whether a belief, action, or desire can be considered rational, philosophers have always ran into the ambiguity between the normative and descriptive uses of the term. For instance, to claim that a belief in God is rational could mean that the belief came through some process of argumentation, or it could mean that this is a good belief for someone to have. Similarly, to say that a (...) desire for wealth and fame is irrational might mean that no process of argument brought it about; or it might simply mean that it is not a good desire to have. This kind of ambiguity is related not only to the fact-value problem, but to the classical distinction between theory and practice. ;Upon careful scrutiny, however, of all the processes involved in making judgments or holding beliefs, that is, inference and the experience upon which it is based, reasoning and the various shapes in which it is found, and reflective as well as nonreflective use of rules serve to establish a continuity between facts and values. At the same time, such a critical scrutiny indicates the real distinction between 'is,' as signifying what is the case, and 'ought,' as signifying what should be the case. ;In performing such a scrutiny, I was forced to perform a double task: first, to develop a set of categorical terms for normative and descriptive rationality; and second, to show the relation between ordinary and technical reasoning, thereby inviting philosophy, and theory in general, to assume its established role in the world of practical affairs. (shrink)

The answer given to 'the problem of evil' in the Bible that apologists, theologians, and philosophers have not recognized or understood, having sought for answers to the problem outside the sacred texts wherein alone the unequivoval answer can be found, if only one puts together the relevant texts, as for instance, the book of Job, the book of Isaiah concerning prophecies related to the return of Christ, the book of Ezekiel, the 24th chapter of Matthew, certain passages from the letters (...) of Paul, and the book of Reveation. The central theme in this work is that evil exists now not by reason of God's presence, but by reason of God's absence. We have been left to our own devices. The reason for this is very clear in these texts, and the work spells this out in no uncertain terms, and once this reason is made fully apparent, and undeniable, it will leave no viable excuse for anyone to reject the return of the King of kings, and His eternal rule over all as the Prince of peace. (shrink)

Counterexamples to two results by Stalnaker (Theory and Decision, 1994) are given and a corrected version of one of the two results is proved. Stalnaker's proposed results are: (1) if at the true state of an epistemic model of a perfect information game there is common belief in the rationality of every player and common belief that no player has false beliefs (he calls this joint condition ‘strong rationalizability’), then the true (or actual) strategy profile is path equivalent to (...) a Nash equilibrium; (2) in a normal-form game a strategy profile is strongly rationalizable if and only if it belongs to C8 , the set of profiles that survive the iterative deletion of inferior profiles. (shrink)

According to [M.S. Kurilić, Cohen-stable families of subsets of the integers, J. Symbolic Logic 66 257–270], adding a Cohen real destroys a splitting family on ω if and only if is isomorphic to a splitting family on the set of rationals, , whose elements have nowhere dense boundaries. Consequently, implies the Cohen-indestructibility of . Using the methods developed in [J. Brendle, S. Yatabe, Forcing indestructibility of MAD families, Ann. Pure Appl. Logic 132 271–312] the stability of splitting families in (...) several forcing extensions is characterized in a similar way . Also, it is proved that a splitting family is preserved by the Sacks forcing if and only if it is preserved by some forcing which adds a new real. The corresponding hierarchy of splitting families is investigated. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Leibniz and the Rational Order of Nature by Donald RutherfordChristia MercerDonald Rutherford. Leibniz and the Rational Order of Nature. New York: Cambridge University Press, 1995. Pp. xiii + 301. Cloth, $54.95. Paper, $18.95.During the twentieth century, scholars of Leibniz have mostly ignored his theology. The tide has recently turned, however, and a few brave souls have begun to disentangle the subtle complications of the relations between (...) Leibniz’s philosophical theology and the rest of his thought. Donald Rutherford is such a brave soul. In his book, he intends to recover “the theodicy as an essential part of Leibniz’s philosophy” (1). To this end, he offers “a comprehensive interpretation of Leibniz’s metaphysical theories—particularly those of his late writings,” and attempts to show “how theodicy [End Page 139] and metaphysics inform each other in his thought” (1). The book has three parts and ten chapters. In the three chapters of Part I, Rutherford “focuses on Leibniz’s theodicy: his vindication of divine justice, the character of the goods that make this the best of all possible worlds, and the special role assigned to rational minds as agents within God’s providential plan for the world” (1). In the three chapters of Part II, Rutherford turns his attention to “Leibniz’s conception of metaphysics as a rational science” and to the notion of substance at its center (2). Finally, in the four chapters of Part III, Rutherford presents an account of Leibniz’s late metaphysics.The structure of Rutherford’s general argument is ingenious. Most fundamentally, he argues that “the guiding force behind” the theodicy is a commitment to reason: “reason as it directs the creative will of God, reason as it is... realized in the intelligible order of the created world, and reason as it helps human beings discern and appreciate that order.” Moreover, “Leibniz’s metaphysical theories are designed to promote the goals of his theodicy” by evidencing as much as possible that rational order (2). Therefore, once we see the metaphysics in light of its theological goal, the close interconnections among its parts will become evident. As Rutherford nicely puts it: “The Leibniz who emerges in this book is one for whom theoretical and practical ends are inextricably linked” (3).In Part I, Rutherford describes the project of the theodicy and, along the way, offers answers to questions which have plagued scholars for decades: What is the relation between variety and simplicity as (apparently conflicting) criteria of worldly goodness? How is the demand for the maximization of perfection related to the (apparently conflicting) commitment to the optimization of the happiness of rational creatures? How can there be different orders and harmonies in one world? Although many of Rutherford’s proposals are both plausible and interesting, they are painted with such broad strokes that they are sometimes difficult to evaluate. Some of the missing details are supplied later in the book, but others are not. For example, a clear picture of the relation between God’s power, goodness, will, and rationality never emerges. In Part II, Rutherford surveys some important texts and topics which concern Leibniz’s methodology, and he presents an intelligent interpretation of Leibniz’s theory of substance. There is much that is interesting here. In Part III, Rutherford is at his best. He ties together many of the separate strands of the late philosophy and tells a plausible story about monads, panorganism, and corporeal substance. This is a genuine achievement and one that will generate a lot of discussion.While I applaud Rutherford’s attempt to construct a coherent account of Leibniz’s philosophy, it is my opinion that he has attached too much importance both to the rational order that is supposed to please the faculty of reason, whether divine or human, and to that faculty itself. According to the Christianized Platonism that Leibniz learned (among many other things) from his teachers in Leipzig, it is the intellect or understanding (intellectus) and not the reason that comes to know the most fundamental truths; and moreover the goodness that created beings (and their interrelations) are supposed to have is based on the fact that they are expressions of God... (shrink)

The Wage Setting Process In this paper I will defend a conception of fairness in labor markets. I will argue that we should take a procedural approach to the evaluation of fairness in markets. The procedural approach defended here goes beyond the traditional procedural view that requires only the absence of force and fraud. But it avoids the pitfalls of the other classical conception of fairness in the market: the idea of a just wage or just price. Fairness in markets (...) is analogous to fairness in the democratic process. I will start with a discussion and critique of Joseph Heath’s stimulating discussion of fairness in labor markets. Though I agree in part with his assessment of the just wage tradition, I will argue that there is room for thinking about fairness in markets. I will then lay out a conception of fairness that is based on the analogy with democracy. The procedural idea of equal power can be given an interpretation both in perfectly competitive markets and in imperfectly competitive markets. I will show how this approach has implications for conceiving of how firms ought to be organized and for defining a fair process of wage setting in the essentially highly imperfect conditions of the labor market. (shrink)

The underlying skepticism of ancient Greek culture made it unreceptive of philosophy. It was the Catholic Church that embraced philosophy. Still, Étienne Gilson reminds us in Reason and Revelation in the Middle Ages that some early Christians rejected philosophy. Their rejection was based on fideism: the view that faith alone provides knowledge. Philosophy is unnecessary and dangerous, fideists argue, because (1) anything known by reason can be better known by faith, and (2) reason, on account of the sin of pride, (...) seeks to replace faith. To support this twofold claim, fideists, like Tertullian and Tatian, quote St. Paul. However, a judicious interpretation of St. Paul’s remarks show that he does not object to philosophy per se but to erroneous philosophy. This interpretation is reinforced by St. Paul’s own background in philosophy and by his willingness to engage intellectuals critical of Christianity in the public square. The challenge of fideism brings up the interesting question: what would Jesus himself say about the discipline of philosophy? Could it be that Jesus himself was a philosopher (as George Bush once declared)? As the fullness of wisdom and intelligence, Jesus certainly understood philosophy, although not in the conventional sense. But surely, interpreting his life through the lens of fideism is unconvincing. Instead, an appreciation of his innate philosophical skills serves better to understand important elements of his mission. His perfect grasp of how grace perfects nature includes a philosophy of the human person. This philosophy grounded in common-sense analysis of human experience enables Jesus to be a profound moral philosopher. Specifically, he is able to explain the principles of personal actualization. Relying on ordinary experience, where good philosophy must start, he narrates moral lessons—parables—that illumine difficulties regarding moral responsibility and virtue. These parables are accessible but profound, showing how moral understanding must transcend Pharisaical legalism. Additionally, Jesus’ native philosophical power shows in his ability to explain away doctrinal confusions and to expose sophistical traps set by his enemies. If fideism is unconvincing, and if the great examples of the Patristics, the Apostles, and Jesus himself show an affinity for philosophy, then it is necessary to conclude that Christianity is a rational religion. Accordingly, the history of Christian culture is arguably an adventure in faith and reason. Since God is truth and the author of all truths, there is nothing in reality that is incompatible with Christian teaching. As John Paul II explains effectively in the encyclical, Fides et Ratio, Christianity is a religion that is rational and can defend itself. This ability to marshal a defense makes Christianity a religion for all seasons. (shrink)

A syntactic formalism for the modeling of belief revision in perfect information games is presented that allows to define the rationality of a player's choice of moves relative to the beliefs he holds as his respective decision nodes have been reached. In this setting, true common belief in the structure of the game and rationality held before the start of the game does not imply that backward induction will be played. To derive backward induction, a “forward belief” condition is (...) formulated in terms of revised rather than initial beliefs. Alternative notions of rationality as well as the use of knowledge instead of belief are also studied within this framework. Footnotes1 I would like to thank Wlodek Rabinowicz and three anonymous referees for very helpful comments. (shrink)

The quest for a decent political order in many societies is imperative today because of the heterogeneous nature of our social existence and the complexity of our ever increasing socio-economic and political experiences. Since the public sphere is a domain of freedom exemplified by dialogical engagements, the outcome of such encounter must involve the intelligible thoughts of all discussants with the sole aim of dealing with the concerns and commanding the commitment of all to the decisions reached. In this study, (...) it is argued that Deweyan democracy as an alternative theory of rational inquiry is relevant for engaging the present sordid condition of many Africans democratic practice and policy outcomes. As a rational procedure, it is averred that John Dewey’s emphasis on epistemic properties of democratic discourse makes the proceduralist account of democracy superfluous and exposes the weakness of the content of democratic discourse in political actions and decisions. The study also contend that given the consensual state of Dewey’s epistemic thought, Jürgen Habermas theory rather than expanding the space of epistemic democracy stifled it because of his insistence on the force of a better argument in the resolution of conflicting concerns of dialoguers. The study therefore, argues for Dewey’s democracy as an alternative mode of political order since it does not undermine the views of the citizens but gives room for the activation a certain set of attitude that can challenge prevailing opinions and accepts the views that do not embrace conventional wisdom—a procedure that is necessary for the growth and development of our democratic space. (shrink)

The program put forward in von Wright's last works defines deontic logic as ``a study of conditions which must be satisfied in rational norm-giving activity'' and thus introduces the perspective of logical pragmatics. In this paper a formal explication for von Wright's program is proposed within the framework of set-theoretic approach and extended to a two-sets model which allows for the separate treatment of obligation-norms and permission norms. The three translation functions connecting the language of deontic logic with the (...) language of the extended set-theoretical approach are introduced, and used in proving the correspondence between the deontic theorems, on one side, and the perfection properties of the norm-set and the ``counter-set'', on the other side. In this way the possibility of reinterpretation of standard deontic logic as the theory of perfection properties that ought to be achieved in norm-giving activity has been formally proved. The extended set-theoretic approach is applied to the problem of rationality of principles of completion of normative systems. The paper concludes with a plaidoyer for logical pragmatics turn envisaged in the late phase of Von Wright's work in deontic logic. (shrink)

It is standardly assumed that a religious commitment needs to be based upon religious belief, if it is to be rationally acceptable. In this thesis, that assumption is rejected. I argue for the feasibility of belief-less religion, with a focus on the approach commonly known as “non-doxasticism”. According to non-doxasticism, a religious life might be properly based on some cognitive attitude weaker than belief, like hope, acceptance or belief-less assumption. It provides a way of being religious open exclusively to the (...) agnostic. This thesis consists of an introductory essay and five independent papers. The aim of the introductory essay is to provide a general background and set the stage for the discussion in the papers. Its first major part is about the rationality of religious belief. I assess three major ways of providing rational justification for religious belief: natural theology, the reformed epistemology of A. Plantinga and W. Alston, and voluntarism as advocated by B. Pascal and W. James. I highlight some of the most serious problems associated with these approaches, and argue that these problems are enough to warrant an exploration of belief-less alternatives. The second major part of the introductory essayintroduces belief-less religion and its two main forms: fictionalism and non-doxasticism. Both approaches are presented in some detail, including important accounts and current developments. While I would not deny thatboth approaches can be defended as intellectually feasible and rationally acceptable ways of being religious, I also explain why I think non-doxasticism is to be preferred over fictionalism. Paper I and II concerns the account of non-doxastic religion offered by J. L. Schellenberg. Paper I raises some problems for Schellenberg’s analysis of propositional faith, and presents a way of handling these problems by making faith occasional. Paper II argues that non-doxasticism should be focused on traditional religion rathar than Schellenberg’s simple ultimism. Paper III and IV concerns non-doxasticism on a more general level. Paper III argues for the superiority of non-doxasticism over fictionalism. It contains the argument for exclusive availability, according to which only non-doxasticism is rationally available to the pro-religious agnostic. Paper IV explores the notion of rational, non-doxastic faith, and argues for three desiderata any such faith must meet. Unlike the other papers, Paper V is primarily connected to the first part of the introductory essay, and it concerns the scope and limit of natural theology. It is tentatively argued that perfect being theism lies outside the scope of natural theology, and that its most prominent arguments at best support some kind of deism. (shrink)

Taking hints from the Italian writer and comedian Paolo Villaggio’s works having the unlucky-to-the-utmost accountant Fantozzi as their hero, the essay tackles the issue of the role, and the possible foundations, of the law in the theoretical scenario of a perfectly deterministic world, where everything is determined by pre-set nexuses of cause-and-effect. Fantozzi is condemned by such an inescapable law of causation (Fate) to meet constant failure, in a social context structured along stiff hierarchies which are completely independent from individual (...) merits, where law enforcement always sides with the lucky ones. Within such a context, the law cannot be grounded on rational foundations-thinking, since the only possible rational conclusion is that the law is completely useless. At the same time, the law cannot be considered an outcome of power, since any power different from that of Fate is mere illusion. The essay wonders whether, in such a theoretical setting, there is the possibility of finding an alternative foundation for the law on non-objectifying thinking, starting from imagination and the idea of justice. Is it possible to imagine reliable rules based on imagination? (shrink)

A new generation, earmarked the Thirteeners, is an emerging force in the marketplace. The Thirteener cohort group, so designated since they are the thirteenth generation to know the American flag and constitution, encompass over 62 million adult consumers. All the former "Mall Rats" have grown up. The normative structures that these Thirteeners employ in both acquisition and disposition retail settings is empirically assessed in this study through the use of a national sample. The findings suggest that Thirteeners are more likely (...) to attempt to rationalize away unethical retailing consumption behaviors than their parent's generation. The managerial and theoretical implications for the practice of retailing in the 1990s associated with these observations are discussed. (shrink)

We present an axiomatic approach for a class of finite, extensive form games of perfect information that makes use of notions like “rationality at a node” and “knowledge at a node.” We distinguish between the game theorist's and the players' own “theory of the game.” The latter is a theory that is sufficient for each player to infer a certain sequence of moves, whereas the former is intended as a justification of such a sequence of moves. While in general (...) the game theorist's theory of the game is not and need not be axiomatized, the players' theory must be an axiomatic one, since we model players as analogous to automatic theorem provers that play the game by inferring (or computing) a sequence of moves. We provide the players with an axiomatic theory sufficient to infer a solution for the game (in our case, the backwards induction equilibrium), and prove its consistency. We then inquire what happens when the theory of the game is augmented with information that a move outside the inferred solution has occurred. We show that a theory that is sufficient for the players to infer a solution and still remains consistent in the face of deviations must be modular. By this we mean that players have distributed knowledge of it. Finally, we show that whenever the theory of the game is group-knowledge (or common knowledge) among the players (i.e., it is the same at each node), a deviation from the solution gives rise to inconsistencies and therefore forces a revision of the theory at later nodes. On the contrary, whenever a theory of the game is modular, a deviation from equilibrium play does not induce a revision of the theory. (shrink)

This book brings together the most important theoretical work of James S. Coleman on problems of collective action. Coleman's work has formed a consistent and highly distinguished attempt to find an account of the workings of social and political processes rooted in the rationality of the individual participants. The chapters address in various ways the fundamental Hobbesian problem of order; the question of how a set of self-interested individuals can arrive at some kind of social order. The volume is organised (...) in three parts. The essays in Part I address the problem of social choice as a fundamental problem of the functioning of social systems. Those in Part II deal with relations of power as a crucial aspect of the relations between individual actions and their social consequences. Part III considers the question of the creation of collectivities and the rights that are allocated under them. As a whole, the volume demonstrates the integration and force of the views Coleman has developed. (shrink)

_The Bounds of Reason: Habermas, Lyotard & Melanie Klein on Rationality_ is a highly original yet accessible study of the debate between modernity and postmodernity. Emilia Steuerman clearly explains the modernity/postmodernity dispute by examining the problem that has driven the whole debate: whether the use of reason is an emancipatory or enslaving force. Steuerman clearly sets out this debate by critically examining the arguments of two of its key proponents, Jurgen Habermas and Jean-François Lyotard. She clearly explains Habermas' defence of (...) modernity and his attempt to salvage Enlightenment ideas of truth, justice, and freedom through the use of reason. She contrasts this with Lyotard's postmodernism and his scepticism about the use of reason, and its claims to universalism and objectivity. Throughout, Steuerman contrasts the Habermas-Lyotard debate with important insights from psychoanalytic theory, and shows how Habermas' notions of intersubjectivity and a community of shared language users can be compared and contrasted with Melanie Klein's theory of object relations. (shrink)