This paper has a threefold purpose: to question the adequacy of two familiar proposals for explaining the permissibility of harming others in self-defense, to suggest an alternative explanation, and to answer some objections to this latter explanation. By and large, discussions of the proposals whose adequacy I will question focus on what they imply about the permissibility of self-defense in controversial cases. I will argue here that the proposals themselves contain large and significant theoretical gaps. Accordingly, examining their implications for (...) controversial cases is premature, since they don’t adequately explain permissible self-defense in even the clearest cases—that is, those in which people defend themselves against “culpable attackers”. (shrink)
My point in this paper is to focus on some details of Alfred Tarski’s writing that in my opinion have not been aptly represented — or aptly rejected — in Richard Montague’s grammar and to agree with those who share Tarski’s view that human language is something uncapturable. The paper consists of two parts, concerning 1) some attempts to formalize the non-declarative utterances, and 2) the limitations of T-scheme and of Montague grammar.
The course will give a concise introduction to compositional modeltheoretic semantics in the Montague tradition, with ample discussion and motivation coming from recent research. Concentrating on the underlying methodological principles, I will aim to attract students' attention to the beauty and scientific value of the description of intricate semantic phenomena using elegant and rigorously-defined mathematical techniques. The course is intended for students who don't necessarily have any prior knowledge in logic or linguistics, but have some basic mathematical or general (...) scientific background. The foundational concepts and techniques that will be covered include: entailment as a rich empirical domain, ambiguity, compositionality, direct modeltheoretic interpretation, types and model structure, boolean operators and generalized quantifiers. Motivations and examples will draw on recent research of coordination, quantifier scope and intensionality. Further remarks about diverse problems involving plurality, spatial expressions, conceptual semantics and pragmatics will be made as time permits. (shrink)
We started from the fact that type theory, in the way it was implemented in IL, makes it costly to deal with nominalization processes. We have also argued that the type hierarchy as such doesn't play any real role in a grammar; the classification it provides for different semantic objects is already contained, in some sense, in the categorial structure of the grammar itself. So, on the basis of a theory of properties (Cocchiarella's HST*) we have tried to build a (...) language (IL*) whose syntax does not contain any explicit typing of expressions. Some of the consequences that this move brings about in the overall organization of the grammar can be summarized as follows:it allows for a simple treatment of infinitives, gerunds, factives and, in general, all those phenomena which might be analyzed as cases of nominalization;it provides a simpler and more constrained semantics than IL, since IL* doesn't go beyond second order, and its non-modal basis is axiomatizable;it suggests that the role of logical form in a theory of grammar could be that of a family of theories of semantic objects;it eliminates the extrinsic limitations of a type hierarchy on the choice of the system of syntactic categories.I think that it is interesting to notice how having an explicit semantic framework helps to provide a sense in which it is legitimate to regard the syntax of a language as ‘autonomous’. (shrink)
Principle monists believe that our moral duties, such as fidelity and non-maleficence, can be justified in terms of one basic moral principle. Principle pluralists disagree, some suggesting that only an excessive taste for simplicity or a desire to mimic natural science could lead one to endorse monism. In Ideal Code, Real World (Oxford, 2000), Brad Hooker defends a monist theory, employing the method of reflective equilibrium to unify the moral duties under a version of rule consequentialism. Hooker's arguments have drawn (...) powerful criticisms from pluralists such as Alan Thomas, Phillip Montague and Philip Stratton-Lake. Against these critics, I argue that Hooker's monism enjoys certain practical advantages associated with the simplicity of a single basic principle. These advantages are often overlooked because they appear primarily in cases of second-order deliberation, in which one must decide whether our basic moral duties support a certain derivative duty. I argue that these advantages of monism over pluralism are analogous to the advantages that generalists claim over moral particularism. Because pluralists are generalists, I conclude that they are in an awkward dialectical position to dismiss Hooker's monism for the reasons they usually offer. (shrink)
When in 1980, on the Third Amsterdam Colloquium, Johan van Benthem read a paper with the title ‘Why is Semantics What?’ (cf. ), I was puzzled: Wasn’t it obvious what semantics is? Why did our concept of it stand in need of justification? Later, much later, I came to appreciate what Van Benthem was doing in this paper (and in some others). Questioning the ‘standard model’, the assumptions on which the working semanticists silently agree, Van Benthem opened up a space (...) of issues to be discussed, questions to be asked, routes to be explored, that had been hidden from view by the unreflective endorsement of just one possible, albeit fruitful way of doing semantics. History, by the way, has proven him right on many points: the monolithic approach that dominated formal semantics of natural language in the seventies, and which relied heavily on Montague’s seminal papers, has given way to a multitude of different ways of tackling semantic issues, using different formal techniques. Some limitations, in particular the almost exclusive focus on sentences as the primary units of analysis, have been overcome. In another respect, however, I feel that the message of Van Benthem’s paper has not caught on sufficiently. He urges semanticists to take more interest in the properties of their tools, arguing that such questions are important if we are to come to a real, deep understanding of what semantics is. Such ‘meta-level’ considerations, although certainly less scarce than they used to be, are still not an everyday concern of the working semanticist. (shrink)
In a provocative book (Carstairs-McCarthy 1999), Andrew Carstairs-McCarthy argues that the apparently universal distinction in human languages between sentences and noun phrases cannot be assumed to be inevitable for languages with the expressive power of human languages, but needs explaining. His work suggests, but does not explicitly state, that there is also no conceptual necessity for the distinction between basic types e and t, a distinction argued for by Frege and carried into formal semantics through the work of (...)Montague (Montague 1970). Pragmatic distinctions among various kinds of speech acts, including asserting, questioning, commanding, and pointing things out are assumed in Carstairs-McCarthy’s work, as are expressions of functional types; what is questioned is whether a syntacticized sentence-NP distinction is essential. (shrink)
One of the success stories in formal semantics is the analysis of NPs as generalized quantifiers, which can be traced back from Barwise & Cooper (1981) via Montague to Frege. The great attraction of this analysis is that it allows for a compositional analysis of the meaning of noun phrases that is consistent with independently motivated assumptions about their syntax. For example, Barwise and Cooper analyze NPs like every boy, a boy, three boys and no boy as having the (...) syntactic structure [Det N], and interpretations as second-order predicates, as follows. (shrink)
The systems T N and T M show that necessity can be consistently construed as a predicate of syntactical objects, if the expressive/deductive power of the system is deliberately engineered to reflect the power of the original object language operator. The system T N relies on salient limitations on the expressive power of the language L N through the construction of a quotational hierarchy, while the system T Mrelies on limiting the scope of the modal axioms schemas to the sublanguage (...) L infM +, which corresponds exactly with the restrictive hierarchy of L N. The fact that L infM + is identical to the image of the metalinguistic mapping C + from the normal operator system into L M reveals that iterated operator modality is implicitly hierarchical, and that inconsistency is produced by applying the principles of the modal logic to formulas which have no natural analogues in the operator development. Thus the contradiction discovered by Montague can be diagnosed as the result of instantiating the axiom schemas with modally ungrounded formulas, and thereby adding radically new modal axioms to the predicate system.The predicate treatment of necessity differs significantly from that of the operator in that the cumulative models for the predicate system are strictly first-order. Possible worlds are not used as model-theoretic primitives, but rather alternate models are appealed to in order to specify the extension of N, which is semantically construed as a first-order predicate. In this manner, the intensional aspects of modality are built into the mode of specifying the particular set of objects which the denotation function assigns to N, rather than in the specification of the basic truth conditions for modal formulas. Intensional phenomena are thereby localised to the special requirements for determining the extension of a particular predicate, and this does not constitute a structural modification of the first-order models, but rather limits the relevant class of models to those which possess an appropriate denotation function. (shrink)
We show that basic hybridization (adding nominals and @ operators) makes it possible to give straightforward Henkin-style completeness proofs even when the modal logic being hybridized is higher-order. The key ideas are to add nominals as expressions of type t , and to extend to arbitrary types the way we interpret $@_i$ in propositional and first-order hybrid logic. This means: interpret $@_i\alpha _a$ , where $\alpha _a$ is an expression of any type $a$ , as an expression of type $a$ (...) that rigidly returns the value that $\alpha_a$ receives at the i -world. The axiomatization and completeness proofs are generalizations of those found in propositional and first-order hybrid logic, and (as is usual inhybrid logic) we automatically obtain a wide range of completeness results for stronger logics and languages. Our approach is deliberately low-tech. We don’t, for example, make use of Montague’s intensional type s , or Fitting-style intensional models; we build, as simply as we can, hybrid logicover Henkin’s logic. (shrink)
The main purpose of this paper is to define and study a particular variety of Montague-Scott neighborhood semantics for modal propositional logic. We call this variety the first-order neighborhood semantics because it consists of the neighborhood frames whose neighborhood operations are, in a certain sense, first-order definable. The paper consists of two parts. In Part I we begin by presenting a family of modal systems. We recall the Montague-Scott semantics and apply it to some of our systems that (...) have hitherto be uncharacterized. Then, we define the notion of a first-order indefinite semantics, along with the more specific notion of a first-order uniform semantics, the latter containing as special cases the possible world semantics of Kripke. In Part II we prove consistency and completeness for a broad range of the systems considered, with respect to the first-order indefinite semantics, and for a selected list of systems, with respect to the first-order uniform semantics. The completeness proofs are algebraic in character and make essential use of the finite model property. A by-product of our investigations is a result relating provability in S-systems and provability in T-systems, which generalizes a known theorem relating provability in the systems S 2° and C 2. (shrink)
continent. 2.1 (2012): 44–55. Philosophers are sperm, poetry erupts sperm and dribbles, philosopher recodes term, to terminate, —A. Staley Groves 1 There is, in the relation of human languages to that of things, something that can be approximately described as “overnaming”—the deepest linguistic reason for all melancholy and (from the point of view of the thing) for all deliberate muteness. Overnaming as the linguistic being of melancholy points to another curious relation of language: the overprecision that obtains in the tragic (...) relationship between the languages of human speakers. —Walter Benjamin 2 Prologue. Any text with an inflection of the word “thesis” in its title risks closing the borders of what is posited in it. However, perhaps it would be possible to think this act of defining in a way that is less, so to say, definitive. I would like to recall the opening line of Aristotle’s De Interpretatione , a constellation of theses, if anything. “First it needs to be posited [ thesthai ] what a noun and what a verb [is].” 3 Upon closer inspection, the definitions of the noun ( onoma ) and verb ( rh?ma ) do not at all appeal to any notion of strictly bordering-off, but are merely captured in a movement toward definition, establishing their own horizons. 4 It is therefore not a coincidence that Aristotle deploys the aorist medio-passive infinitive thesthai to describe this process. It is an infinite, self-instigating movement without proper horizon or telos . 5 It is this sense of thesis in relation to the basic components of language that I will attempt—perhaps in what may prove to be a gesture of what Walter Benjamin called “overnaming” 6 —to posit as cumposition , the composition of philosophical discourse that is conscious of the abyss of language in which it moves. 7 1. In her essay “When Philosophy Meant the Love of Wisdom,” Avital Ronell evokes the following question: What if philosophy’s love for wisdom has gone bad? The perversity of philosophy’s love not only appears in its recursiveness as the love of love for wisdom, first presented in Plato’s Symposium , but also “in all its brutality, especially when it’s set against literature and poetry.” 8 Philosophy’s love is a brutal one, perverse. Indeed, Immanuel Kant famously described the scene of metaphysics as a ‘battleground of … endless controversies,” 9 and “destined for exercising its forces in mock combat, and upon which no combatant has ever been able to gain even the least ground for himself by fighting.” 10 Because of the many modalities of love from the onset of philosophy onwards, Ronell signals the difficulty of addressing in any universal way the question of love in philosophy, unless she would consider it “in its essentially sado-masochistic dimension.” 11 As Heidegger already remarked parenthetically in his Introduction to Metaphysics , polemos as war and confrontation is the same as the logos . 12 Philosophy has always been a polemical discourse. 2. At the same moment, however untimely this moment may be, love has been conspicuously absent from Heidegger’s work. Nevertheless, Giorgio Agamben has been able to tease out Dasein’s love as a “passion of facticity.” 13 Agamben develops from out of Heidegger’s war-struck logos the following definition of love, which will allows to proceed to a reading of the origin of philosophy itself as the love of wisdom, a relation that in itself may hide “a kind of original fetishism.” 14 What man introduces into the world, his “proper,” is not simply the light and opening of knowledge but above all the opening to concealment and opacity. Al?theia , truth, is the safeguard of l?th? , nontruth; […] Love is the passion of facticity in which man bears this nonbelonging and darkness, appropriating ( adsuefacit [ ereignet ]) them while safeguarding them as such. Love is thus not, as the dialectic of desire suggests, the affirmation of the self in the negation of the loved object; it is, instead, the passion and exposition of facticity itself and of the irreducible impropriety of being. In love, the lover and the beloved come to light in their concealment, in an eternal facticity beyond Being . 15 Truth as al?theia , “unhiddenness” or “unconcealment,” which has in recent times again gained a special prominence in certain regions of philosophical discourse, is thus the ultimate expression of Dasein’s love, even if, for the philosopher, the beloved is love itself. 3. In Plato’s Symposium , Socrates famously introduces the philosopher as a figure in love with wisdom. But also Love himself is a philosopher, a lover of wisdom; he is an interpreter ( herm?neuon ), 16 a hermeneutic, a messenger between the gods and men. He organises all intercourse and dialectic interaction between them. 17 Plato’s definition starts with Socrates invoking Diotima of Mantineia, who had instructed him in eroticism. 18 Diotima inseminated Socrates with the seeds of philosophy, taught him how to love. We can imagine young Socrates paying his first visit to her, seeking affection and pleasure in her maternal body. “What then,” we hear Socrates asking, “may love be?” And here we find Diotima answering his call: “the love of the good is always to its own [ aut?i einai aei ].” Socrates answers: “that is the very truth [ al?thestata ],” 19 or, as Heidegger would translate it, “the most unhidden.” 20 So already in this primal scene of philosophy’s love we find the intimate relation between love and unconcealment. 4. If Love is a philosopher who practices the love of the good as the highest truth, an abyss opens: what is the truth of philosophy itself? Necessarily, this must be a truth outside the logic of (un)concealment, outside the logic of the Ereignis or the event, if it doesn’t want to fall into an infinite regress. Some have argued that there is no such thing as philosophical truth, yet this truth has appeared, albeit marginally, in another discussion of love, as the etumos logos , true discourse. 21 This was already pointed at by Michel Foucault, 22 and later commented upon by Christopher Fynsk: “the exigencies to which Foucault answered in seeking his 'truth,' [ etumos ] […] are linked to an exigency met in any consequent meditation on the essence of language.” 23 Any consequent meditation on the essence of language, perhaps a meditation as it takes place within philosophy on its own language, will have to arrive at a certain truth, even when as unstable, incoherent, and assaulting the borders of finitude as etymology may be. Etymology is the truth of philosophical discourse. 5. Our meditation on the relations between philosophy, love and truth means in no way to move toward a philosophy which would take “Desire” as its transcendental signified, distributing different desires for truth through different discourse levels, nor discard it as an extra-philosophical affect. A position such as would be assumed by any philosophy of desire is ferociously attacked by Jean-François Lyotard in his book Libidinal Economy , but in doing so he hits upon a—for him despicable—condition of the philosopher, the one who is “nothing but thought,” the one with whom we tend to sympathise; the condition of the “as if.” This is philosophy’s meta-ontological mask. Philosophy’s love is the love of the as if: “[A]nd so, to be, I have only to place myself as well in the circumference, turn with the intensities, act as if I loved, suffered, laughed, ran, fucked, slept, shat, and pissed, I, thought.” 24 Even though Lyotard wishes that “this supreme effort of thought die,” 25 we, in our turn and not so afraid to die, may now also perhaps define etumos as truth “as if” al?theia ; the former makes an appeal to the latter’s affect, but is not “the real thing”—or wherever the quotation marks need to take hold to stabilise our discourse. 6. Even a philosophical discourse as self-asserting and sanitised from any affective overtones as Alain Badiou’s does not escape this condition. In his work, the philosopher is a figure of circulation, someone who, at the end of the day, can only act “as if.” This typology of the philosopher is first hinted at in Being and Event , when Badiou claims that, “philosophy is not centred on ontology—which exists as a separate and exact discipline—rather it circulates between this ontology […], the modern theories of the subject and its own history.” 26 Philosophy is thus in the first place separated from ontology and therefore merely circulates along it. Beside ontology, which in Badiou’s work appears as a fully atonic axiomatization of set theory, 27 philosophy circulates through the theories of the subject, which, under the procedure of poetry, are subtractive of ontology, thus allowing for the appearance of a truth as an event ( Ereignis as the unconcealment of concealment) and subjective fidelity, and the history of philosophy itself: its discourses and the story of its limitless love of wisdom. For Badiou, the right of philosophy is the right to cite its conditions, the right to cite their truths. The text of philosophy is the text of citation. 28 The philosophical act thus is “an act of second thought.” 29 7. If, as Plato suggested, the love for the good is the highest truth, the bursting forth of this truth as event happens outside philosophy. Either as the ultimate idea that is sought or as uncounted inconsistency exploding into maximum existence, registered on philosophy’s seismographs, this truth as event remains tightly bound to a philosophical desire for truth. Mehdi Belhaj Kacem even claims that “the event […] is the ontological structure of Desire,” 30 and “Desire wants the event.” 31 Superlatively (perhaps: most truthfully), “The event has the structure of rape.” 32 Although we should place a number of question marks in the margins of Kacem’s philosophical project and his rapid conflation of multiple textual registers, he does point out a certain sedation of philosophy’s love of wisdom in Badiou’s work. However, that philosophy would be a place to house multiple truths, circulating among them, again opens us to the ‘perversity’ of this love that Ronell pointed out. Philosophy cruises truths. 8. How does philosophy’s “second thought” arrive, if ever? Philosophy’s lovely circulation through what is already presented by mathematics, theories of the subject and its own history is first conditioned by a sustained belief in the possibility of formalisation. But what if this formalisation itself is bound to fail? What if we deny formalisation, or at least point to the discomfort we experience of such forcing to formal appearance such as painstakingly described in Witold Gombrowicz’ literary oeuvre. Jacques Derrida already pointed out in reference to Husserl’s final appeal to geometry, that “the institution of geometry could only be a philosophical act.” 33 Similarly, we could criticise that the act of formalisation on which Badiou’s citational appropriation of mathematics, and therefore the circulation of philosophy, rests: “As soon as we utilize the concept of form—even if to criticize an other concept of form—we inevitably have recourse to the self-evidence of a kernel of meaning. And the medium of this self-evidence can be nothing than the language of metaphysics.” 34 At the end of the same essay Derrida sketches out the consequences this has for philosophy, which, however, strangely resonate with what Badiou proposes as philosophy’s circulation. One might think […] that formality—or formalization—is limited by the sense of Being which, in fact, throughout its entire history, has never been separated from its determination as presence, beneath the excellent surveillance of the is : and that henceforth the thinking of form has the power to extend itself the thinking of Being. But that the two limits thus denounced are the same may be what Husserl’s enterprise illustrates[.…] Thus, one probably does not have to choose between two lines of thought. Rather, one has to meditate upon the circularity which makes them pass into on another indefinitely. And also, by rigorously repeating this circle in its proper historical possibility, perhaps to let some elliptical displacement be produced in the difference of repetition: a deficient displacement, doubtless, but deficient in a way that is not yet—or no longer—absence, negativity , non-Being, lack, silence. 35 In many ways this resounds with what I have stated above. Although Badiou radically separates the “thinking of form” and the “thinking of Being” to respectively the meta-ontological/philosophical domain and the ontological/mathematical domain, the remainder within philosophy itself appears as this “ circle in its proper historical possibility.” And indeed we may have traced a “deficient displacement” which is not yet or no longer an “absence” as would be the truth subtractive to ontology: the “as if”–truth 36 of the etumos as truth in philosophy itself, the truth of philosophy as love of wisdom. 9. We may want to ask whether the two lines of thought theorised by Derrida and again separated by Badiou both exhibit this circularity. If that would be the case, this would allow us to consider their intertwinement more in depth. What Derrida calls the “thinking of Being” and Badiou refers to as “ontology” is thoroughly unbound by what is commonly referred to in an economic discourse as capitalism. The sudden insertion of a materialist trope may seem infelicitous here, however, capitalism has, as Badiou put it succinctly, also a “properly ontological virtue.” 37 The logic of capitalism, even though it operates in the “most complete barbarity,” 38 has an ontological virtue of its own, namely the destruction of the One as viable metaphysical point of departure. The “barbarity” of capitalism’s destructive character operates by “brute force,” but also sometimes by, as Walter Benjamin put it, “the most refined” 39 one. In any case, it unbinds all. As Lyotard stated in one of his seemingly unending sentences: Capital is not the denaturation of relations between man and man, nor between man and woman, is the wavering of the (imaginary?) primacy of genitality, of reproduction and sexual difference, it is the displacement of what was in place, it is the unbinding of the most inane pulsions, since money is the sole justification or bond, and money being able to justify anything, it deresponsibilizes and raves absolutely, it is the sophistics of the passions and at the same time, their energetic prosthetics; […] it has certain anti-unitary and anti-totalizing traits [...]40 Thus capital and capitalism are figures of unbinding and circulation. We find ourselves here in the metaphorical domain of philosophy that both in Lyotard and Badiou has its recourse to an economic discourse. Derrida has addressed this tendency at length in his essay “White Mythology,”41 and in a different register I will attempt to address it below, acknowledging that indeed philosophical language may be a “fund of 'forced metaphors.'”42 10. How is it that truth emerges from the ontological wasteland of capitalism, to be captured by philosophy’s love of wisdom? What is this love responding to and how is it that philosophy refuses to turn the other cheek to reality? Perhaps a beginning of an answer to this question may lie in the way in which Marx parenthetically defined capitalism: “the universal relation of utility and use” as “universal prostitution.” 43 which includes everyone: Prostitution is only a particular expression of the general prostitution of the worker, and because prostitution is a relationship which includes both the person prostituted and the person prostituting—whose baseness is even greater—thus the capitalist, too, etc. is included within this category. 44 It may prove fruitful to read general prostitution here in the logic of unbinding and circulation, following Benjamin, who speaks of an “erotology of the damned.” 45 Benjamin’s work on the German translation of Charles Baudelaire must definitely have influenced his work on the destructive character of capitalism. The tropes of prostitution and destruction already appear in his note on the poem “Destruction” from Les fleurs du mal . “The bloody apparatus of destruction,” Benjamin asks himself, where is this phrase in Baudelaire? 46 In Baudelaire’s poem, the demon of destruction takes on the “most seductive form” of women, and seduces the visitor to the “planes of Boredom,” where he is introduced to the “filthy clothes' and “open wounds” and the “bloody apparatus of Destruction.” Is it from these “planes of Boredom, profound and barren” 47 that philosophy gleans its truths. 11. If philosophy thinks ontology as prostitutional, whom does it cite? Although to some authors, it would suffice to use the indicative quality of language as such to open such an ontology, 48 we should perhaps focus here on the atonic desert where the prostitutional machinery is blithely at work as captured in the work of Pierre Guyotat. He opens up to such an interpretation when he states that his novel Tomb for Fifty Thousand Soldiers is, “in spite of everything, metaphysical; a metaphysics of history, certainly not religious; it is also a somewhat ontological.” 49 Several philosophers that I have addressed above refer to his work; for example Badiou, who refers to the “neo-classicism” of Guyotat as a resurrection of the “cosmological aim” of grand literature hearkening back to Lucretius. 50 Guyotat’s “prostitutional universe,” 51 which reduces “all vital norms to the immediate commercial potentials of the body.” 52 On the other side of the philosophical spectrum, Lyotard digs deeper, describing the actual jouissance of the worker submitted to the capitalist machinery, “the machine of the machine, fucker fucked by it.” 53 And he continues: “And let’s finally acknowledge this jouissance , which is similar […] in every way to that of prostitution, the jouissance of anonimity, the jouissance of the repetition of the same in work, […]. Jouissance is unbearable .” 54 This is what Guyotat so “admirably” expresses in his work, and is also professed by himself. The same logic as Lyotard’s clearly appears upon reading a few sentences from his seminal essay Langage du corps (Language of the body). But on reflection, what spectacle is more brutally exciting than that of a child wanking with his left hand, in this system, and writing with his right. In the resultant disarray. There must be seen one of the terms of this contradictory pulsional will, being at the same time seen and voyeur (“seeing”), pimp and whore, buyer and bought, fucker and fucked. 55 Lyotard described this—within a philosophical discourse that is—as a “superbly capitalist dispositif ,” 56 a mode of writing-masturbating in which production and consumption coincide, truly a “bloody apparatus of destruction.” This logic equally distorts the clear distance that is regularly maintained by writers—and nearly always by philosophers—toward their own work. To me, the most concise formulation of this contracted distance can be located in the neologism that Guyotat coins in his novel Prostitution: “ nhommer ,” ringing with both homme (man) and nommer (to name). For example in the otherwise “untranslatable” sentence: ma e s’renâcl’ chuya se l’mâl’ le nhomme’, lui prend la fess’ o lui frott’ la mostach. 57 Nhommer is therefore an en-hommer , an insemination of a man, life-giving and naming, as well as a n’hommer , its own negation and undoing. This is echoed by Benjamin when he says that in the Bible, “the 'Let there be' and in the words 'He named' a beginning and end of the act, the deep and clear relation of the creative act to language appears each time.” 58 Nhommer is a creative act philosophy cannot accomplish but only approach. The writer always n/mam/nes , the philosopher may only cite, at the risk of introducing prostitutional logic, the shortcuts between naming and creating, creating and exploiting the fabric of philosophy. 12. Prostitutional ontology, materially captured by the bloody, short-circuiting apparatuses of capitalism, can only be cited by philosophy, acted out, at the risk of unbinding the whole of philosophical discourse itself. The events and miracles on the atonic planes of boredom may not affect philosophy itself. This could be one of the reasons that sex and sexual difference have largely remained outside of the realm philosophy. Derrida has already done a considerable amount of work on this curious lack, especially in two essays entitled “ Geschlecht ” on Heidegger’s work and Dasein’s sexuality. In “ Geschlecht 1: Sexual Difference, Ontological Difference,” Derrida investigates the role of sexuality in Heidegger’s definition of Dasein, and his general silence on the topics of sex and gender. “It is as if […] sexual difference did not rise to the height [ hauteur ] of ontological difference. […] But insofar as it is open to the question of Being, insofar as it has a relation to Being, in that very reference, Dasein would not be sexiferous [ sexifère ].” 59 The material that I adduced above might give us a frame in which to interpret this repression of Dasein’s sexuality in Heidegger. In philosophy, sexual difference is cited as ontological difference. Prostitution is cited as the unbinding of Being. However, the unbinding or separating force, hailed as the virtue of capitalism and eagerly imported into philosophical discourse, perhaps even brought to the “height of ontological difference,” is also always already at work in philosophy itself, be it as a separation between ontological and theological domains in Aristotle or the separation between a truth procedure and the citational dispositif of philosophy in Badiou. The truth, as Anne Dufourmentelle put it in her book on sex and philosophy, extracted from the “torture chamber” 60 of philosophy is that this separation is always already sexualized. If etymology is not the key to Bluebeard’s seventh door, it at least opens up a little skylight in the chamber of horrors. In Latin, sexus means separation. The Church Fathers to whom we owe the development of the Latin language thus anticipated by several centuries Lacan’s too famous remark: “There is no sexual relation.” 61 The truth of Lacan’s statement that “there is no sexual relation,” in the precise sense that the term “sex” derives from “separation” and vice versa is only etymologically validated within philosophy. The power of its truth only appears etymologically as philosophical truth. 13. Literature does not need to prove this point. It immediately participates in the circulatory logic of sexuation, without the need to distance itself from it through citational checkpoints and border patrols. It allows language to derange freely, as literature often reminds us of. Dufourmentelle clarifies to us once again, illustrating Guyotat’s point that I cited above. The act of writing is performative: writing and thinking are acts. What philosophy cannot tolerate is the nonresponse to which the enigma of sex refers it. No philosopher can bear up the boudoir. What philosophy does not succeed in conceptualizing is the traversal of a disaster. […] It may be that traversing the impossibility of the relation to sex is what founds philosophy. The black sun of thought about sex. Sex is what leads to traversal, to exile; it orients and disorients. From this exile, literature is born. Literature is the other, hidden guest at this blind date in the boudoir. 62 In her introduction to Dufourmentelle’s book, Ronell even goes as far as suggesting that certain regions of philosophy may be coinciding with the realm of “obliterature,” a space of thought’s disavowal of sex. 63 Indeed, sex induces in philosophy an anti-Platonic “black sun of thought,” that is, following Julia Kristeva, melancholy, when the words don’t come: “Recall the speech of the depressed: repetitive and monotonous. Within the impossibility to link up, the phrase interrupts itself, depletes, halts.” 64 To refer ourselves to Aristotle’s first thoughts on properly philosophical language with which we opened this text, for Aristotle the mind suddenly “halts” the moment it hears a noun or verb that is not well inflected, not properly disseminated into language. 65 Already the minimum of grammatical failure is enough for the philosopher to fall into a stupor. The unworking of grammar is the melancholic condition of philosophy. 14. We need to find the language in which philosophy writes, a writing that organises the “ elliptical displacement” of philosophy blindly circulating through its conditions, perhaps even a “language of decentering, or a dispositif of acephalic writing.” 66 But as Ronell has brilliantly argued in her reading of Freud’s case of the Rat Man, “The Sujet suppositaire ,” the circulation of philosophy should always be read through a lexicon of intervention and insemination which she calls an “Oedipedagogy,” 67 a mode of obsessional neurotic thinking, that is, a mode of cir- cul -ation: around the arse, around the riddles of the sphincter. 68 As a mode of what Ronell calls with Freud the “obsessional neurotic style,” a style of punning, the cir- cul -ation of philosophy rests on paronomasia, that is, the domain of paronomy and etymology. This is however not without scandal. In some circles of truth’s closure, pun has remained the name of an indictment, an accusatory identification of that which takes too much pleasure, disarranging academic languages, promoting a rhetoric of looseness within the parameters of a recreational linguistics, valuelessly succumbing to the most indefensible copulations of meaning, related […] to the temporal succession of shame over pleasure, incriminating the grammar of some strict order of things, and so forth. 69 That punning and its avatars of paronomasia and etymology are already present in one of the most philosophical grammars of a “strict order of things” provides us with a clue that in composition of philosophical language itself, something may be “indefensibly copulating.” 15. In the opening paragraph of Aristotle’s Categories , otherwise a work of remarkable philosophical rigour and properly purged language, we may track down the “elliptical displacement” or “acephalic writing” of philosophy. This is not to be found in the first two semantic relations described by Aristotle—homonymy and synonymy, or the grand metaphysical concepts equivocity and univocity—but in the third one, largely neglected in the corpus of occidental philosophical discourse, or so it seems. This relation, or perhaps more felicitous, movement in language, is called paronymy , and is defined as follows: “Paronymous are called those which, differing from something through case, have an appellation according to the name [of those], like 'grammarian' [ grammatikos ] from 'grammar' [ grammatik?s ] and 'courageous-man' [ andreios ] from 'courageous' [ andreias ].” 70 Paronymy, which is regulated through case ( pt?sis ), the way in which words fall into a sentence, is addressed to the form of the word, the manner of its signification, and not its meaning. 71 Case is also the driving force behind ontological differentiation, regulating the formal aspects of Being falling into beings. What is regulated by case in philosophy is regulated by the supposedly unrestrained punning and paronomasia in the process of sexual differentiation. Paronymy and case offer philosophy a window to peek into modes of discourse it does not like to associate itself with. But at the same time, philosophy is already contaminated by paronymy, which introduces the problematic of formalisation itself, the form of the name and of language at the heart of many metaphysical issues. The glorious theories of accident and substance, subject and object, Being and beings, and so on, cannot be inserted in the philosophical discourse without the lubricant of paronymy. 16. Paronymy, moving from form to form, is not without its methodology. Aristotle’s logic of the paradigm closely mimics the movement of case, neither from particular to universal, nor from universal to particular, but from particular to particular. 72 We are confronted here with what Agamben calls a “paradoxical type of movement,” 73 a movement that moves along itself and away from the doxa , the rule, and which should only be deployed when other means of deductive of syllogistic reasoning are no longer available. The paradigm signifies an insufficiency of properly philosophical thought. It should therefore not surprise us that the paradigm finds its modern inflection in what Lacan calls the “signifying chain,” where “no signification can be sustained except by reference to another signification.” 74 Metaphor is here the name for “the effect of the substitution of one signifier for another in the chain, nothing natural predestining the signifier for this function of phoros apart from the fact that two signifiers are involved, which can, as such, be reduced to a phonemic opposition,” 75 whereas at same time it is the “sole serious reality for man.” 76 It is here that Lacan explicitly chooses the reality of the etumos , the material cause of psychoanalysis, over the revelation al?theia . We might therefore interpret psychoanalysis as the only inflection of philosophy that insists on etumos as the sole source of truth. 17. If it the case, again according to our teacher Aristotle, that all meaningful philosophical discourse is essentially composed in an organised manner, we may insert in the composition of that word itself, in its philosophical circulation, a foreign element. Perhaps this also means that I insert myself in a lineage of paranoia and obsessional neurosis, but then again, as Guy Hocquenghem remarked, homosexuality itself is commonly associated with paranoid persecution mania, 77 “the apparition of the word curiously drives a cascade of lapses, or at least of the interpretation of common words as lapses. There is no innocent or objective position toward homosexuality, there are no situations of desire in which homosexuality doesn’t play a role.” 78 So why would I pretend otherwise? As Ronell adds, and I should have warned you before, “neologisms are much more common in persecution mania patients than in others.” 79 In recognition of what composes philosophy always remains in circulation, no matter whether approached from an “ontological” or “linguistic” perspective, no matter how “meta” the separation machinery drives us, it is circulation itself that justifies the term, if it is one, cumposition . In naming the decentering force of philosophical discourse thus, I not only intend to stress the “with” ( cum ) of the philosophical sum-plok? or com-positio , that is present in it already since Plato, 80 but also the position of philosophy itself, whenever it will have arrived or cum, shooting for the stars of wisdom on the metaphysical firmament. NOTES 1. A. Staley Groves, Poetry Vocare (The Hague/Tirana: Uitgeverij, 2011), 86. 2.Walter Benjamin, “On Language As Such and the Language of Man.” trans. Edmund Jephcott, in Select Writings. vol. 1, 1913-1926 , eds. Marcus Bullock and Michael W. Jennings (Cambridge: Harvard University Press, 2004), 73. 3.Arist. DI 16a1. 4.If only because already the translational issues with these two words are in themselves breaching the constraints of sound definition. 5.Giorgio Agamben’s work has focused extensively on this mode, see for example Potentialities , trans. Daniel Heller-Roazen (Stanford: Stanford University Press, 1999), 234-5. 6.Walter Benjamin, ‘On Language As Such…,’ 73. 7.This is not to say that philosophy only resides in certain language games, as Wittgenstein would have it, but that negotiating the limits of those games—which, etymologically speaking, already carries in it the “com-” of philosophy’s “composition” as the morpheme “ga-,” cf. Gothic gaman , ‘participation’ or ‘communion’—determines to a large extent how much liberty philosophy is willing to grant itself in placing certain truths inside or outside its domains. 8.Avital Ronell, Fighting Theory , trans. Catherine Porter (Urbana: University of Illinois Press, 2010), 1. 9.Immanuel Kant, Critique of Pure Reason , trans./eds Paul Guyer and Allen W. Wood (Cambridge: Cambridge University Press, 1998), 99 (Aviii). 10.Immanuel Kant, Prolegomena to Any Future Metaphysics , trans./ed. Gary Hatfield (Cambridge: Cambridge University Press, 2004), 143 (Bxv). Cf. Kant, Critique of Pure Reason, 109 (Bxv). 11.Ronell, Fighting Theory , 2. 12.Martin Heidegger, Introduction to Metaphysics , trans. Gregory Fried and Richard Polt (New Haven: Yale University Press), 65. 13.Giorgio Agamben, “The Passion of Facticity,”in Potentialities: Collected Essays in Philosophy , trans. Daniel Heller-Roazen, 202. 14.Ibid. 196. 15.Ibid. 203-4. 16.Plat. Sym . 202e. 17.Plat. Sym . 203a. Philosophy as the love of wisdom is therefore recursively defined. Here we could perhaps trace one of the origins of philosophy’s auto-immunity that Ronell has commented upon on several occasions. She signals the so-called “end of philosophy” as one of the tropes characterizing the developing auto-immunity in the body of philosophy, and while at the same distancing herself from this trope she insists that we “continue to interrogate the figures used to designate the end, and to recognize the difference among such terms as closure, finality, terminus.” (Ronell, Fighting Theory , 3) 18.Plat. Sym . 201d. 19.Ibid. 206a. 20.Martin Heidegger, The Essence of Truth , trans. Ted Sader (New York: Continuum, 2002), 48. 21.Plat. Phaed . 244a. 22.Michel Foucault, The Use of Pleasure, The History of Sexuality, vol. 2 , trans. Robert Hurley (New York: Vintage Books, 1990), 235. 23.Christopher Fynsk, The Claim of Language: A Case for the Humanities (Minneapolis: University of Minnesota Press, 2004), 65. 24.Jean-François Lyotard, Libidinal Economy , trans. Iain Hamilton Grant (New York: Continuum, 2004), 13. 25.Ibid. 13. 26.Alain Badiou, Being and Event , trans. Oliver Feltham (New York: Continuum, 2006), 3. 27.That is, the Zermelo-Fraenkel axiomatization, explicitly including the axiom of separation which does not allow for any inconsistent multiplicity, i.e. the appearance of the event. Nevertheless, ever since Richard Montague’s dissertation Contributions to the Axiomatic Foundations of Set Theory (Berkeley: University of California, 1957), we know that set theory can never be finitely axiomatized. 28.Vincent W.J. van Gerven Oei and John Van Houdt, “Circulating Philosophy: A Note on Two Apparent Misquotations in Alain Badiou’s Logics of Worlds,” Theory and Event 14.2 (2011). 29.Alain Badiou, Conditions , trans. Steven Corcoran (New York: Continuum, 2008), 290, fn. 4. 30.Mehdi Belhaj Kacem, Événement et répétition (Auch: Tristram, 2004), 208. 31.Ibid. 209. 32.Mehdi Belhaj Kacem, L’affect (Auch: Tristram, 2004), 93. 33.Jacques Derrida, Edmund Husserl’s ‘Origin of Symmetry’: An Introduction , trans. John P. Leavey, Jr. (Lincoln: University of Nebraska Press, 1989), 127. 34.Jacques Derrida, “Form and Meaning: A Note on the Phenomenology of Language,” Margins of Philosophy , trans. Alan Bass (Chicago: University of Chicago Press, 1982), 157. 35.Derrida, Ibid. 172-3. 36.Or, if you like, the “false truth.” See for an indictment of etymology along these lines Jean Paulhan, La preuve par l’étymologie (Paris: Minuit, 1953). 37.Alain Badiou, Manifesto for Philosophy , trans. Norman Madarasz (Albany: SUNY Press, 1999), 57. 38.Ibid. 57. 39.Walter Benjamin, “The Destructive Character,” Selected Writings, Vol. II.2, 1931-1934 , trans. Edmund Jephcott (Cambridge: Harvard University Press, 1999), 541-2. 40.Lyotard, Libidinal Economy , 135. 41.“In signifying the metaphorical process, the paradigms of coin, of metal, silver and gold, have imposed themselves with remarkable insistence. Before metaphor—and effect of language—could find its metaphor in an economic effect, a more general analogy had to organize the exchanges between the two 'regions.'’ Jacques Derrida, “White Mythology: Metaphor in the Text of Philosophy,” Margins of Philosophy , trans. Alan Bass, (Chicago: University of Chicago Press), 1982, 216. 42.Ibid. 257. 43.“The exchangeability of all products, activities and relations with a third, objective entity which can be re-exchanged for everything without distinction—that is, the development of exchange values (and of money relations) is identical with universal venality, corruption. Universal prostitution appears as a necessary phase in the development of the social character of personal talents, capacities, abilities, activities. More politely expressed: the universal relation of utility and use.” Karl Marx, Grundrisse: Introduction to the Critique of Political Economy , trans. Martin Nicolaus, New York: Random House, 1973, 163. 44.Karl Marx, “Private Property and Communism,” Karl Marx Selected Writings , ed. David McLellan (Oxford: Oxford University Press, 1977), 90. 45.Walter Benjamin, The Arcades Project , trans. Howard Eiland and Kevin McLaughlin (Cambridge: Harvard University Press, 1999), 347. 46.Ibid. 256. 47.Charles Baudelaire, Les Fleurs du Mal , (Paris: Le Livre de Poche, 1999), 161. 48.For example, Jean Pierre Brisset, Le grammaire logique, suivi de La science de Dieu . Paris: Tchou, 1970, pp. 155ff. But we could equally point to the work of Jacques Lacan or refer to the intimacies between sexual and ontological differentiation as investigated by Jacques Derrida. 49.Pierre Guyotat, “L’autre scène,” Vivre (Paris: Denoël, 2003), 45. 50.Alain Badiou, Logics of Worlds: Being and Event 2 , trans. Alberto Toscano (New York: Continuum), 76. 51.Alain Badiou “Guyotat, prince de la prose,” unpublished lecture (Paris: 21 October, 2005), n.p. 52.Ibid. 53.Lyotard, Libidinal Economy , 109. 54.Ibid. 110-1. Lyotard formulates a position here parallel to Lacan’s analysis, which argues that the slave “can accept to work for the master and give up jouissance in the meantime.” (Jacques Lacan, Écrits , trans. Bruce Fink, New York: W.W. Norton, 2006, 259) This renunciation of jouissance founds the obsessive subject that I will discuss below, in an extension of the prostitutional logic developed by Lyotard. 55.Pierre Guyotat, “Langage du corps,” Vivre (Paris: Denoël, 2003), 24. Translation quoted from Lyotard, Libidinal Economy , 139. 56.Lyotard, Libidinal Economy , 139. 57.Pierre Guyotat, Prostitution (Paris: Gallimard, 1975), 90-1. In relation to his work we would also do well to recall the Lacanian dictum that “Punctuation, once inserted, establishes the meaning.” (Lacan, Écrits , 258) 58.Benjamin, “On Language As Such…,” 68. 59.Jacques Derrida, “ Geschlecht 1: Sexual Difference, Ontological Difference,” trans. Ruben Bevezdivin and Elizabeth Rottenberg, in Psyche, vol. 2 , eds Peggy Kamuf and Elizabeth Rottenberg (Stanford: Stanford University Press, 2008), 8. 60.Anne Dufourmentelle, Blind Date: Sex and Philosophy , trans. Catherine Porter (Chicago: University of Illinois Press, 2007), 56. 61.Ibid. 57. 62.Ibid., 101. 63.Avital Ronell, “The Stealth Pulse of Philosophy,” introduction to Anne Dufourmentelle, Blind Date: sex and philosophy , trans. Catherine Porter (Chicago: University of Illinois Press, 2007), xv. 64.Julia Kristeva, Le soleil noir: Dépression et mé?ancholie (Paris, Gallimard, 1987), 45. 65.Arist. DI 16b20. 66.Alain Badiou, Logics of Worlds: Being and Event 2 , trans. Alberto Toscano (New York: Continuum), 545. 67.Avital Ronell, “The Sujet Suppositaire: Freud, And/Or, the Obsessional Neurotic Style (Maybe),” Finitude’s Score: Essays for the End of the Millennium (Lincoln: University of Nebraska Press, 1998), 108. Cf. also: “As mere reversal, this maintains the 'intervention' of which Lacan speaks in its classic column, still following the marching orders and route traced out by the commanding symbolicity of male homosexuality whose structures, in place since the time of Plato, continue to assure the paradigm of the transmission of knowledge.” (Ibid., p. 106) 68.“The anus can be said to mark a locus of privileged transaction between at least two gendered entities. It organizes a space from which rental agreements are negotiated, leases are taken out by one gender to permit the other gender provisionally—depending on the terms of the agreement—to occupy its space. The other of genital sexuality, determinable neither as masculine nor strictly speaking as feminine, anality nonetheless constitutes a sexuality, a shared space that is often vaginized.” (Ronell, “The Sujet Suppositaire,” 108) One could, and perhaps ought, to read Guyotat’s Prostitution , as exactly a constant negotiation of this sort, where language itself succumbs to this logic of “indefensible copulations.” (Ibid., 110) 69.Ronell, “The Sujet Suppositaire,” 110. 70.Arist. Cat . 1a12-15. 71.Cf. Pierre Aubenque, Le problème de l’être chez Aristote (Paris: PUF, 1962), 184, fn. 3. 72.See Rhet . 1357b26-30 and APr 69a13-16. 73.Giorgio Agamben, The Signature of All Things: On Method , trans. Luca D’Isanto with Kevin Attell (New York: Zone Books, 2009), 19. 74.Lacan, Écrits , 415. A similar idea, originating from a different perspective, but with a similar foundation in Aristotle, can be found in the work of Paul de Man: “The convergence of sound and meaning […] is a rhetorical rather than aesthetic function of language, an identifiable trope (paronomasis) that operates on the level of the signifier.” (Paul de Man, Resistance to Theory , Minneapolis: University of Minnesota, 1986, 10) 75.Lacan, Écrits , 756. 76.Ibid., 758. 77.“Psychiatry supposes in general an intimate relation between homosexuality and paranoia, but gives it often the following form: the homosexual frequently suffers from persecution paranoia.” (Guy Hocquenghem, Le désir homosexuel , Paris: Fayard, 2000, 32) 78.Ibid., 59. 79.Ronell, “The Sujet Suppositaire,” 117. 80.See Plat. Soph . 262c. (shrink)
If □ is conceived as an operator, i.e., an expression that gives applied to a formula another formula, the expressive power of the language is severely restricted when compared to a language where □ is conceived as a predicate, i.e., an expression that yields a formula if it is applied to a term. This consideration favours the predicate approach. The predicate view, however, is threatened mainly by two problems: Some obvious predicate systems are inconsistent, and possible-worlds semantics for predicates of (...) sentences has not been developed very far. By introducing possible-worlds semantics for the language of arithmetic plus the unary predicate □, we tackle both problems. Given a frame (W, R) consisting of a set W of worlds and a binary relation R on W, we investigate whether we can interpret □ at every world in such a way that □ $\ulcorner A \ulcorner$ holds at a world ᵆ ∊ W if and only if A holds at every world $\upsilon$ ∊ W such that ᵆR $\upsilon$ . The arithmetical vocabulary is interpreted by the standard model at every world. Several 'paradoxes' (like Montague's Theorem, Gödel's Second Incompleteness Theorem, McGee's Theorem on the ω-inconsistency of certain truth theories, etc.) show that many frames, e.g., reflexive frames, do not allow for such an interpretation. We present sufficient and necessary conditions for the existence of a suitable interpretation of □ at any world. Sound and complete semi-formal systems, corresponding to the modal systems K and K4, for the class of all possible-worlds models for predicates and all transitive possible-worlds models are presented. We apply our account also to nonstandard models of arithmetic and other languages than the language of arithmetic. (shrink)
The paper defends an Aristotelian notion of indeterminism, as rigorously formulated in the framework of branching space-times (BST) of Belnap (1992), against the model-theoretic characterization of indeterminism that Montague (1962) introduced into the philosophy of science. It delineates BST branching against the background provided by Earman's (2008) distinction between individual vs. ensemble branching. It describes a construction of physically-motivated BST models, in which histories are isomorphic to Minkowski spacetime. Finally it responds to criticism leveled against BST by addressing some (...) semantical questions, a topological issue, and the past/future asymmetry. (shrink)
Montague, Prior, von Wright and others drew attention to resemblances between modal operators and quantifiers. In this paper we show that classical quantifiers can, in fact, be regarded as S5-like operators in a purely propositional modal logic. This logic is axiomatized and some interesting fragments of it are investigated.
Relations computed by ﬁnite-state transducers are applied to interpret temporal propositions in terms of strings representing ﬁnite contexts or situations. Carnap–Montague intensions mapping indices to extensions are reformulated as relations between strings that can serve as indices and extensions alike. Strings are related according to information content, temporal span and granularity, the bounds on which reﬂect the partiality of natural language statements. That partiality shapes not only strings-as-extensions (indicating what statements are about) but also strings-as-indices (underlying truth conditions).