The Role of Ontology in the Philosophy of Gilles Deleuze

This essay discusses the role of being and ontology in the work of Gilles Deleuze. Starting from an examination of Alain Badiou's ontology and theory of the event, I discuss the possible opposition of being and the event in Deleuze's work. Though famous for his discussions of the univocity of being, Deleuze does discuss the event as that which is not being. Deleuze's theory of the event is similar to that of Badiou in that he considers the event to be extra‐ontological. The essay closes by considering the differences between Deleuze and Badiou on the subject of the event.     

Foucault’s politicization of ontology

The paper explicates a politicized conception of reality with the help of Michel Foucault’s critical project. I contend that Foucault’s genealogies of power problematize the relationship between ontology and politics. His idea of productive power incorporates a radical, ontological claim about the nature of reality: Reality as we know it is the result of social practices and struggles over truth and objectivity. Rather than translating the true ontology into the right politics, he reverses the argument. The radicality of his method lies in showing how the ontological order of things is in itself the outcome of a political struggle: Ontology is politics that has forgotten itself. I argue that Foucault’s thought accomplishes the politicization of ontology with two key theoretical moves. The first is the contestation and provocation of all given and necessary ontological foundations. He affirms the ontological view that there is a discontinuity between reality and all ontological schemas that order it, and a subsequent indeterminacy of reason in establishing ultimate truths or foundations. After this initial step whereby ontology is denaturalized—made arbitrary or at least historically contingent—the way is open for explanations that treat the alternative and competing ontological frameworks as resulting from historical, linguistic and social practices of power. The second key move is thus the exposure of power relations and their constitutive role in our conception of reality. I conclude by considering the implications of Foucault’s politicization of ontology for our understanding of politics.     

Framework for formal ontology

The discussions which follow rest on a distinction, first expounded by Husserl, between formal logic and formal ontology. The former concerns itself with (formal) meaning-structures; the latter with formal structures amongst objects and their parts. The paper attempts to show how, when formal ontological considerations are brought into play, contemporary extensionalist theories of part and whole, and above all the mereology of Leniewski, can be generalised to embrace not only relations between concrete objects and object-pieces, but also relations between what we shall call dependent parts or moments. A two-dimensional formal language is canvassed for the resultant ontological theory, a language which owes more to the tradition of Euler, Boole and Venn than to the quantifier-centred languages which have predominated amongst analytic philosophers since the time of Frege and Russell. Analytic philosophical arguments against moments, and against the entire project of a formal ontology, are considered and rejected. The paper concludes with a brief account of some applications of the theory presented.     

The Problem of das Man—A Simmelian Solution

Current interpretations of Heidegger's notion of das Man are caught in a dilemma: either they cannot accommodate the ontological status Heidegger accords it or they cannot explain his negative evaluation of it, in which it is treated as ontic. This paper uses Simmel's agonistic account of human sociality to integrate the ontological and the ontic, indeed perjorative aspects of Heidegger's account. Section I introduces the general problem, breaks the exclusive link of Heidegger's account to Kierkegaard and delineates the general form of a solution. Section II then sketches Simmel's conception of sociology and sociality. Section III determines what Heidegger is trying to do in Chapter Four of Division I in Being and Time in order to formulate a strictly ontological account of das Man. Section IV uses Simmel's account of sociality to build into this ontological account an inherent tendency to display the negative features Heidegger ascribes to das Man. In conclusion, section V points to how the proposed account of das Man intimates the character of fundamental ontology as nascently a form of critical theory. It also explains the extent to which Heidegger's perjorative characterisations of das Man and the Man-selbst are legitimate.     

Extending the Non-extendible: Shades of Infinity in Large Cardinals and Forcing Theories

This is an article whose intended scope is to deal with the question of infinity in formal mathematics, mainly in the context of the theory of large cardinals as it has developed over time since Cantor’s introduction of the theory of transfinite numbers in the late nineteenth century. A special focus has been given to this theory’s interrelation with the forcing theory, introduced by P. Cohen in his lectures of 1963 and further extended and deepened since then, which leads to a development and further refinement of the theory of large cardinals ultimately touching, especially in view of the discussion in the last section, on the metatheoretical nature of infinity. The whole undertaking, which takes into account major stages of the research in large cardinals theory, tries to present a defensible argumentation against an ontology of infinity actually rooted in the notion of subjectivity within the world. This means that rather than talking of a general ontology of infinity in the ideal platonic or in the aristotelian sense of potentiality, even in the alternative sense of an ontology of the event in A. Badiou’s sense, one can argue from a subjective point of view about the impossibility of defining cardinalities greater than the first uncountable one \(\aleph _{1}\) that would correspond to a distinct existence in real world terms or would be supported by a mathematical intuition in terms of reciprocity with experience. The argumentation from the particular standpoint includes also certain comments on the delimitative character of Gödel’s constructive universe L and the influence of the constructive approach in narrowing the breadth of an ‘ontology’ of infinity.     

What’s in a Dao?: Ontology and Semiotics in Laozi and Zhuangzi

The present essay examines the conflicting ontological assumptions that one can find behind the word dao in the texts of the Laozi and Zhuangzi and argues that the relative indifference to these texts toward whether or not dao has an ontic reality should not be considered a flaw of early Daoism. Rather, the historical process by which the term dao collects various possible ontological implications can be thought of as a philosophical stance in its own right. That is, if the terms which one is obliged to use in discussing the immaterial necessarily hide, at least as much as they explain, the nature of Being, then it is a reasonable response to decline to ground one??s ethics in an ontology, and that while the resulting philosophy may not qualify as a fully-adumbrated system, this does not diminish its potential usefulness.     

Phantom of consistency: Alain Badiou and Kantian transcendental idealism

Immanuel Kant is one of Alain Badiou’s principle philosophical enemies. Kant’s critical philosophy is anathema to Badiou not only because of the latter’s openly aired hatred of the motif of finitude so omnipresent in post-Kantian European intellectual traditions—Badiou blames Kant for inventing this motif—but also because of its idealism. For Badiou-the-materialist, as for any serious philosophical materialist writing in Kant’s wake, transcendental idealism must be dismantled and overcome. In his most recent works (especially 2006’s Logiques des mondes), Badiou attempts to invent a non-Kantian notion of the transcendental, a notion compatible with the basic tenets of materialism. However, from 1988’s Being and Event up through the present, Badiou’s oeuvre contains indications that he hasn’t managed fully to purge the traces of Kantian transcendental idealism that arguably continue to haunt his system—with these traces clustering around a concept Badiou christens “counting-for-one” (compter-pour-un). The result is that, in the end, Kant’s shadow still falls over Badiouian philosophy—this is despite Badiou’s admirable, sophisticated, and instructive attempts to step out from under it—thus calling into question this philosophy’s self-proclaimed status as materialist through and through.

Doing Ontology and Doing Justice: What Feminist Philosophy Can Teach Us About Meta-Metaphysics

Abstract

Feminist philosophy has recently become recognised as a self-standing philosophical sub-discipline. Still, metaphysics has remained largely dismissive of feminist insights. Here I make the case for the value of feminist insights in metaphysics: taking them seriously makes a difference to our ontological theory choice and feminist philosophy can provide helpful methodological tools to regiment ontological theories. My examination goes as follows. Contemporary ontology is not done via conceptual analysis, but via quasi-scientific means. This takes different ontological positions to be competing hypotheses about reality’s fundamental structure that are then assessed with a loose battery of criteria for theory choice. Such criteria make up the constitutive values of ontology (e.g. providing a unified, coherent, non-circular, simple, parsimonious total theory). These values are distinguished from contextual values of a practice: the political and moral values embedded in the social context of inquiry. Although we may be frank about some meta-metaphysical value commitments, bringing in feminist contextual values is viewed as an unacceptable move when thinking about ontological theory choice. This paper then asks: is this move unacceptable? I think not and I aim to motivate this methodological insight here by examining recent work on grounding.     

The Privilege of the Present: Time and the Trace from Heidegger to Derrida

ABSTRACT

One of the starting points of Derrida’s deconstruction is the idea that metaphysics is dominated by an ontological primacy of the present. It is well known that Derrida took up this thesis of the ‘privilege of the present’ in metaphysics from Heidegger. However, this thesis is mentioned without being developed by Heidegger. What is the meaning of this ontological position? How did it originate? Should we try to go beyond it? And if so, how? In this paper, I would like to start out from Heidegger’s view that the understanding of Being, in the metaphysical tradition, is dominated by the ontological primacy of the present: according to this approach, which goes back to Aristotle’s theory of substance (ousia), Being means constant presence; only that which is constantly present really exists. I will then show that Heidegger himself, in his conception of the past, has renewed the privilege of the present, favoring the ‘having been’ (Gewesenheit) over the past as ‘by-gone-ness’ (Vergangenheit). Finally, I will show how Derrida’s concept of trace may help us to go beyond the privilege of the present.     

Badiou,Keyser, and the Theo-mathematics of the Infinite

Abstract

This paper discusses Alain Badiou's dissolution of theology in light of his equation of ontology and mathematics and his separation of the infinite from the one. I argue, however, that Badiou leaves open a place for theology, and I exploit this for theology by drawing on the work of the American mathematician Cassius Jackson Keyser. Keyser suggests a more positive relationship between mathematics, ontology, and theology, and his claim that theology is the science of idealization allows us to begin to think about how one might go about doing philosophical theology after Badiou.     

An Existential Foundation for an Ethics of Care in Heidegger’s Being and Time

Martin Heidegger’s existential account of care in Being and Time (2010) provides us with an opportunity to reimagine what the proper theoretical grounding of an ethic of care might be. Heidegger’s account of care serves to deconstruct the two primary foundations that an ethic of care is often based upon. Namely, that we are inevitably interdependent upon one another and/or possess an innate disposition to care for fellow humans in need. Heidegger’s account reveals that both positions are founded upon an ontic (meaning factual existence), as opposed to an ontological (which refers to the nature of being), understanding of care. The distinctions between an ontic and ontological understanding of care are significant. Yet, I maintain that they are not completely incompatible. Both Heidegger and care ethicists contend that our existence with others is understood through a relational ontology. Furthermore, there are certain ontological structures from Heidegger which resonate with an ethic of care. Two key existential structures are leaping-ahead and being-guilty. These existential structures are latent in care ethics, and by explicitly revealing them I reinforce the connection between Heidegger’s account and care theory. Lastly, I develop the theoretical foundations of care ethics by proposing an existential ethic of care.

     

Constructing formal semantics from an ontological perspective. The case of second-order logics

In a first part, I defend that formal semantics can be used as a guide to ontological commitment. Thus, if one endorses an ontological view \(O\) and wants to interpret a formal language \(L\) , a thorough understanding of the relation between semantics and ontology will help us to construct a semantics for \(L\) in such a way that its ontological commitment will be in perfect accordance with \(O\) . Basically, that is what I call constructing formal semantics from an ontological perspective. In the rest of the paper, I develop rigorously and put into practice such a method, especially concerning the interpretation of second-order quantification. I will define the notion of ontological framework: it is a set-theoretical structure from which one can construct semantics whose ontological commitments correspond exactly to a given ontological view. I will define five ontological frameworks corresponding respectively to: (i) predicate nominalism, (ii) resemblance nominalism, (iii) armstrongian realism, (iv) platonic realism, and (v) tropism. From those different frameworks, I will construct different semantics for first-order and second-order languages. Notably I will present different kinds of nominalist semantics for second-order languages, showing thus that we can perfectly quantify over properties and relations while being ontologically committed only to individuals. I will show in what extent those semantics differ from each other; it will make clear how the disagreements between the ontological views extend from ontology to logic, and thus why endorsing an ontological view should have an impact on the kind of logic one should use.     

How can Ethnomethodology be Heideggerian?

The purpose of this paper is to begin to try to understand the extent to which ethnomethodology (EM) might be informed by some concepts and ideas from the work of the philosopher Martin Heidegger. This is done in two parts. The first looks at Heidegger's later work and compares his conception of the ontological difference with Garfinkel's work on the difference between EM and formal sociological analysis (FA). The second part turns to Heidegger's earlier work (around Being and Time) and works through a number of affinities between the analysis of Dasein and ethnomethodological versions of everydayness.     

Badiou,Priest, and the Hegelian Infinite

Abstract

Hegel’s distinction between the bad and true infinites has provoked contrasting reactions in the works of Alain Badiou and Graham Priest. Badiou claims that Hegel illegitimately attempts to impose a distinction that is only relevant to the qualitative realm onto the quantitative realm. He suggests that Cantor’s mathematical account of infinite multiplicities that are determinate and actual remains an endlessly proliferating bad infinite when placed within Hegel’s faulty schema. In contrast, Priest affirms the Hegelian true infinite, claiming that Cantor’s formal mechanisms of boundary transcendence, such as ‘diagonalization’, are implicit in Hegel’s dialectic. While arguing that a clear dividing line can be drawn here between these two interpretations of the relationship between Hegel and Cantor, this paper also mounts a defence of the Hegelian true infinite by developing Priest’s suggestion that Cantorian diagonalizing functions are prefigured by Hegel’s dialectical overcoming of limits.     

Frege on Syntax,Ontology, and Truth's Pride of Place

Frege's strict alignment between his syntactic and ontological categories is not, as is commonly assumed, some kind of a philosophical thesis. There is no thesis that proper names refer only to objects, say, or that what refers to an object is a proper name. Rather, the alignment of categories is internal to Frege's conception of what syntax and ontology are. To understand this, we need to recognise the pride of place Frege assigns within his theorising to the notion of truth. For both language and the world, the Fregean categories are logical categories, categories, that is, of truth. The elaboration of this point makes clear the incoherence of supposing that they might not align.     

Theory structuralism in a rigid framework

This paper develops the first parts of a logical framework for the empirical sciences, by means of a redefinition of theory structuralism as originally developed by Joseph Sneed, Wolfgang Stegmüller, and others, in the context of a ??rigid?? logic as based on a fixed (therefore rigid) ontology. The paper defends a formal conception of the empirical sciences that has an irreducible ontological basis and is unable, in general, to provide purely structural characterizations of the domain of a theory. The extreme rationalist utopia of a characterization of the real world ??up to isomorphism??, therefore, is rejected.     

The self in Kierkegaard's pseudonyms

Conclusion This is essentially what I take to be Kierkegaard's ontological foundation of human existence. It is the structure which both makes possible and unifies the different modes of existing which he so fully describes in his pseudonyms. The further task is one of demonstrating concretely the relation of these modes (stages) of existing to his ontology.This essay will appear in my book, Being and Existence in Kierkegaard's Pseudonyms, to be published by Princeton University Press in 1975. I would like to thank the Princeton University Pres for permission to publish a portion of the book in this journal. I would also like to acknowledge my colleagues' helpful criticisms of the original draft of this paper which I read in a departmental seminar at Iowa State University last fall. Some of their suggestions were incorporated in the final draft.     

Phenomenal Feel as Process1

Phenomenal character (or feel) is the what‐it's‐likeness of subjective experience. I develop an ontology of phenomenal feel as process. My being in some phenomenal state R is the process of my instantiating R’s neurological correlate. The ontology explains why we have asymmetric epistemic access to phenomenal characters: the ontological ground for the subjective or first‐personal stance is different from the ontological ground for the objective or third‐personal stance. I end by situating my account in debates about physicalism.     

Virtue Ethics

I discuss a puzzle that shows there is a need to develop a new metaphysical interpretation of mathematical theories, because all well-known interpretations conflict with important aspects of mathematical activities. The new interpretation, I argue, must authenticate the ontological commitments of mathematical theories without curtailing mathematicians' freedom and authority to creatively introduce mathematical ontology during mathematical problem-solving. Further, I argue that these two constraints are best met by a metaphysical interpretation of mathematics that takes mathematical entities to be constitutively constructed by human activity in a manner similar to the constitutive construction of the US Supreme Court by certain legal and political activities. Finally, I outline some of the philosophical merits of metaphysical interpretations of mathematical theories of this type.     

The Myth of Reductive Extensionalism

Extensionalism, as I understand it here, is the view that physical reality consists exclusively of extensional entities. On this view, intensional entitities must either be eliminated in favor of an ontology of extensional entities, or be reduced to such an ontology, or otherwise be admitted as non-physical. In this paper I argue that extensionalism is a misguided philosophical doctrine. First, I argue that intensional phenomena are not confined to the realm of language and thought. Rather, the ontology of such phenomena is intimately entwined with the ontology of properties. After providing some evidence to the popularity of extensionalism in contemporary analytic philosophy, I investigate the motivating reasons behind it. Considering several explanations, I argue that the main motivating reason is rooted in the identification of matter with extension, an identification which is one of the hallmarks of the mechanistic conception of nature inherited from the founding fathers of our modern scientific outlook. I then argue that such a conception is not only at odds with a robust ontology of properties but is also at odds with our best contemporary physics. Rather than vindicating extensionalism contemporary science undermines the position, and the lesson to be drawn from this surprising fact is that extensionalism needs no longer be espoused as a regulative ideal of naturalistic philosophy. I conclude by showing that the ontological approach to intensional phenomena advocated throughout the paper also gains support from an examination of the historical context within which ‘intension’ was first introduced as a semantic notion.