Derrida: Science, Logic, and Mathematics

One is occasionally reminded of Foucault's proclamation in a 1970 interview that "perhaps, one day this century will be known as Deleuzian." Less often is one compelled to update and restart with a supplementary counter-proclamation of the mathematician, David Lindley: "the twenty-first century would be a Bayesian era..." The verb tenses of both are conspicuous. // To critically attend to what is today often feared and demonized, but also revered, deployed, and commonly referred to as algorithm(s), one cannot avoid the (...) mathematical and philosophical legacies of probability. // But attending to these probabilistic or Bayesian legacies must include an undeniable theological legacy in which they remain entangled. // We are not, today, discovering quirky theological metaphors in contemporary technics. It's the other way around. The technologies are mere metaphors of past theologies. (shrink)

Karen Barad’s Meeting the Universe Halfway relies on mutually incompatible grounding gestures, one of which describes the relationality of an always already material-discursive reality, while the other seeks to ground this relation one-sidedly in matter. These two materialisms derive from the gesture she borrows from the New Materialist (and other related) fields, which posits her work as an advance over the history of “representationalism” and “social constructivism.” In turn, this one-sided materialism produces a skewed reading of the quantum mechanical phenomena (...) with which she engages. Her attempt to create an ontological (not epistemological) interpretation of quantum mechanics proves deconstructible. Instead, a science of undecidability or science of quant à helps us to understand debates among scientists and philosophers over the completeness or incompleteness of quantum mechanics and its epistemological or ontological status – by demonstrating that these questions will necessarily remain unresolved. (shrink)

The aim of this article is to contrast Hegelian insights about the secret with Derrida’s literary account of the secret in the story of Abraham. Derrida outlines two kinds of secret in “Literature in Secret,” one revealable and the other apophatic. I propose that the first kind of secret is Hegelian in nature because a productive concept of contradiction underlies it. On the other hand, the second kind of secret is Derridean because it withdraws from all revelation. Through an analysis (...) of the role of contradiction in Hegel’s Logic and Derrida’s distinction between revealable and unrevealable secrets, I aim to explore the logical and structural components of the concept of the secret. (shrink)

Based on the reception of Emmanuel Levinas (1906–1995) philosophy in the English-speaking world, the paper highlights some tendencies in reading and commenting on classical philosophical works that have been the focus of attention for a long time. The author makes a suggestion that we can find persistent but nonetheless dynamic, patterns of commenting and interpreting. The first wave of Levinas studies was apologetic and laudatory. Its main task was to introduce new concepts, i.e. to paraphrase. The second wave was much (...) more appropriative and critical. In this period, the scholars tried to apply the philosophy of the Other to existing problems or they tried to resolve the paradoxes that were the products of apologetic readings. The today’s third wave recreates and readjusts interpretive strategies inherent to the first and second wave. To explain this dynamics of reading, the paper introduces a normative scheme that consists of three regulative principles – “faithfully”, “truthfully”, and “ethically”. Due to this tripartite opposition, in which “faithfully” refers to fidelity to an original, “truthfully” refers to the search for universal truth, and “ethically” refers to the inaccessibility for an ego to grab hold of a text of another person, commenting grows intensive. In addition, the opposition of “faithfully” and “truthfully” demonstrates some liberty in such, to some extent, involuntary practice as commenting. This reflexion helps identify the current phase of commenting on classical texts and the intentions of readers and commentators. What is more, it provides justifications for innovative readings of Levinas’ oeuvre as well as the texts of other great philosophers. (shrink)

Abstract. On the naive reading, “radical social constructivism” would be the result of “deconstructing” science. Science would simply be a contingent construction in accordance with social determinants. However, postmodernism does not necessarily abandon fidelity to the objects of thought. Merold Westphal's Derridean philosophy of religion emphasizes that even theology need not eliminate the transcendence of the divine other. By drawing an analogy between natural and supernatural transcendence, I argue that science is similarly called to responsibility in the encounter with that (...) which lies outside its horizon of expectation. Science's rational autonomy is overcome by the heteronomy of realities that precede it. Understanding species as homeostatic property clusters is an example of nonessentialist, postmodern, and scientific realism. Science is still a vehicle for encountering natural alterity, thus decentering the relativism thought to characterize postmodernism. However, natural science must not attempt to place the whole of being at human disposal if it is to fulfill the potential of Westphal's philosophy of religion. (shrink)

Life -- Labour -- Psyche -- Being -- The other -- Time -- Death.

Bernard Stiegler's account of technology as constitutive of the human as such is without precedent. However, Stiegler's work must also be understood in terms of its explicit appropriations from the thought of Jacques Derrida. An important, yet overlooked, context for framing Stiegler's relation to Derrida is the question of nonhuman life thought in terms of différance . As I argue, Stiegler's account does not unfold the most profound implications of Derrida's understanding of nonhuman life as différance . While Stiegler describes (...) human life as prosthetic and in default of origin, there is no treatment of the way in which nonhuman life is also aporetic and constituted in terms of its relatedness to exteriority. I conclude with a reconsideration of Stiegler's work from the perspective of Derrida's richer account of nonhuman life as différance in order to bring to light an anthropocentric aspect of Stiegler's work. (shrink)

In this paper I will offer a survey of Quentin Meillassoux’s thought, focusing on what I identify as the central node of his thought, the link between mathematics and contingency. I will then proceed to question the compatibility of his principle of radical contingency with the philosophy—and the practice—of science, and I will propose a possible solution to this problem by pushing Meillassoux along the Pythagorean path. Finally, I will argue that 1) his project of evacuating metaphysical necessity via a (...) mathematization of reality can be read on a continuum with the critiques of metaphysics of presence (and with the special status assigned to mathematical formalism) operated by Jacques Derrida and Alain Badiou; and 2) his philosophy can be understood as a philosophy of science only if we allow speculations aimed at subverting core metaphysical conceptual structures to have a bearing upon empirically-based scientific practice. (shrink)

How much of philosophical, scientific, and political thought is caught up with the idea of continuity? What if it were otherwise? This paper experiments with the disruption of continuity. The reader is invited to participate in a performance of spacetime (re)configurings that are more akin to how electrons experience the world than any journey narrated though rhetorical forms that presume actors move along trajectories across a stage of spacetime (often called history). The electron is here invoked as our host, an (...) interesting body to inhabit (not in order to inspire contemplation of flat-footed analogies between ‘macro’ and ‘micro’ worlds, concepts that already presume a given spatial scale), but a way of thinking with and through dis/continuity – a dis/orienting experience of the dis/jointedness of time and space, entanglements of here and there, now and then, that is, a ghostly sense of dis/continuity, a quantum dis/continuity. There is no overarching sense of temporality, of continuity, in place. Each scene diffracts various temporalities within and across the field of spacetimemattering. Scenes never rest, but are reconfigured within, dispersed across, and threaded through one another. The hope is that what comes across in this dis/jointed movement is a felt sense of différance, of intra-activity, of agential separability – differentiatings that cut together/apart – that is the hauntological nature of quantum entanglements. (shrink)

This article explores Derrida's suggestion in Of Grammatology that deconstruction might be considered a positive science. The implication here is that ‘no outside of text’ does not evoke an enclosure whose limits can't be breached, an enclosure that discovers human exceptionalism in linguistic and technological capacities. Instead, this sense of a system and its involvements (différance) is already entangled in any ‘atom’ of its expression, whereby ‘no outside of text’ can be read as ‘no outside of Nature’. The logic that (...) informs and justifies the conventional separations between nature and culture, ideation and matter, and human and non-human, are thereby confounded; the dimensions of efficacy, as well as the vexed question of intention appear as non-local (systemic); and the very notion of language – what it is and how it works – is distributed in ways that give rise to the same quandaries that surround the quantum problematic. Indeed, at the end of this meditation the difference between the humanities and the sciences, especially in its current configuration as the impasse of ‘the two cultures’, can no longer be sustained. (shrink)

Derrida's key concepts or pseudo-concepts of différance, the trace, and the undecidable suggest analogies to some of the most significant results of formal, symbolic logic and metalogic. As early as 1970, Derrida himself pointed out an analogy between his use of ‘undecidable’ and Gödel's incompleteness theorems, which demonstrate the existence, in any sufficiently complex and consistent system, of propositions which cannot be proven or disproven (i.e., decided) within that system itself. More recently, Graham Priest has interpreted différance as an instance (...) of the general metalogical procedure of diagonalisation. In this essay, I consider the extent to which Derrida's key terms and the essential operations of deconstruction can be formalised. I argue that, if formalisation is indeed the technique of writing par excellence, then the formalisation of deconstructive concepts tends to show how the auto-deconstruction of total systems arises from the problematic possibility of writing itself. For instance, since diagonalisation permits the ‘arithmetisation of syntax’ whereby a formal system is able to formulate claims about its own logico-grammatical properties, we can understand its potential to inscribe the undecidable within the systematicity of language as simply one instance of the potential of writing, in figuring itself, to render inscrutable the trace of its own origin. (shrink)

This paper examines Derrida's interpretation of Jean Cavaill s's critique of phenomenology in On Logic and the Theory of Science . Derrida's main claim is that Cavaill s's arguments, especially the argument based on G del's incompleteness theorems, need not lead to a total rejection of Husserl's phenomenology, but only its static version. Genetic phenomenology, on the other hand, not only is not undermined by Cavaill s's critique, but can even serve as a philosophical framework for Cavaill s's own position. (...) I will argue that Derrida's approach to Cavaill s is fruitful, facilitating the exposition of some central Cavaill sian ideas, including the notion of dialectics. Nevertheless, it is important to evaluate Derrida's own arguments against static phenomenology. I undertake such an assessment in the last section of the paper, showing that G del's theorems do not in themselves warrant rejection of static phenomenology. I base this conclusion in part on G del's own understanding of phenomenology as a philosophical basis for mathematics. (shrink)

The viability of Schelling’s Philosophy of Identity depends on the maintenance and cultivation of a reciprocal relationship between internal and objective reality. To stay on course Schelling assiduously checked the conceptual answers he derived from subjective thought against the objective measurements of contemporary physics. As the physicists of his day came to question the materiality of light, Schelling conceptualized it as the outer limit of what the intelligence is capable of grasping intuitively. At the same time he criticized Hegel for (...) ignoring knowledge altogether and for propagating a philosophy of ignorance. More than a century later Jacques Derrida recognized this characteristic in Hegel, but drew a contrary conclusion. Where Schelling counseled that rational philosophy should alter course and set sail toward a higher empiricism, Derrida insisted that in pushing rationality beyond its limits Hegel had sprung a trap of incomprehension andindeterminacy from which no one would or could henceforward escape.This essay evaluates the competing claims of Schelling and Derrida in light of the revolutionary advances of twentieth-century physics. Is this work indeed bringing forth a new world the mind qua mind cannot conceive or measure and liberating man from a prior constraint, or are the emerging physical directives of four dimensional space-time and a flat universe themselves possible only within the cloture de la representation where Derrida presumes to detain human kind indefinitely? (shrink)

Continental Philosophy of Social Science demonstrates the unique and autonomous nature of the continental approach to social science and contrasts it with the Anglo-American tradition. Yvonne Sherratt argues for the importance of an historical understanding of the Continental tradition in order to appreciate its individual, humanist character. Examining the key traditions of hermeneutic, genealogy, and critical theory, and the texts of major thinkers such as Gadamer, Ricoeur, Derrida, Nietzsche, Foucault, the Early Frankfurt School and Habermas, she also contextualizes contemporary developments (...) within strands of thought stemming back to Ancient Greece and Rome. Sherratt shows how these modes of thinking developed through medieval Christian thought into the Enlightenment and Romantic eras, before becoming mainstays of twentieth-century disciplines. Continental Philosophy of Social Science will serve as the essential textbook for courses in philosophy or social sciences. (shrink)

Norris presents a series of closely linked chapters on recent developments in epistemology, philosophy of language, cognitive science, literary theory, musicology and other related fields. While to this extent adopting an interdisciplinary approach, Norris also very forcefully challenges the view that the academic "disciplines" as we know them are so many artificial constructs of recent date and with no further role than to prop up existing divisions of intellectual labour. He makes his case through some exceptionally acute revisionist readings of (...) diverse thinkers such as Derrida, Paul de Man, Wittgenstein, Chomsky, Michael Dummett and John McDowell. In each instance Norris stresses the value of bringing various trans-disciplinary perspectives to bear while none-the-less maintaining adequate standards of area-specific relevance and method. Most importantly he asserts the central role of recent developments in cognitive science as pointing a way beyond certain otherwise intractable problems in philosophy of mind and language. (shrink)

In this interview, Christopher Norris discusses a wide range of issues having to do with postmodernism, deconstruction and other controversial topics of debate within present-day philosophy and critical theory. More specifically he challenges the view of deconstruction as just another offshoot of the broader postmodernist trend in cultural studies and the social sciences. Norris puts the case for deconstruction as continuing the 'unfinished project of modernity' and—in particular—for Derrida's work as sustaining the values of enlightened critical reason in various spheres (...) of thought from epistemology to ethics, sociology and politics. Along the way he addresses a number of questions that have lately been raised with particular urgency for teachers and educationalists, among them the revival of creationist doctrine and the idea of scientific knowledge as a social, cultural, or discursive construct. In this context he addresses the 'science wars' or the debate between those who uphold t. (shrink)

(2000). STRUCTURE AND GENESIS IN SCIENTIFIC THEORY: HUSSERL, BACHELARD, DERRIDA. British Journal for the History of Philosophy: Vol. 8, No. 1, pp. 107-139. doi: 10.1080/096087800360247.

This is an important new critical analysis of Derrida's theory of writing, based on close readings of key texts. It reveals a dimension of Derrida's thinking that has been neglected in favor of those "deconstructionist" cliches favored by much recent literary criticism. Christopher Johnson highlights the special character of Derrida's philosophy that comes from his contact with contemporary natural science and with systems theory. This study casts new light on an exacting set of intellectual issues facing philosophy and critical theory (...) today. (shrink)

In this path-breaking study Christopher Norris proposes a transformed understanding of the much-exaggerated differences between analytic and continental philosophy. While keeping the analytic tradition squarely in view, his book focuses on the work of Jacques Derrida and Alain Badiou, two of the most original and significant figures in the recent history of ideas. Norris argues that these thinkers have decisively reconfigured the terrain of contemporary philosophy and, between them, pointed a way beyond some of those seemingly intractable issues that have (...) polarised debate on both sides of the notional rift between the analytic and continental traditions. In particular his book sets out to show - against the received analytic wisdom - that continental philosophy has its own analytic resources and is capable of bringing some much-needed fresh insight to bear on problems in philosophy of language, logic and mathematics. Norris provides not only a unique comparative account of Derrida's and Badiou's work but also a remarkably wide-ranging assessment of their joint contribution to philosophy's current - if widely resisted - potential for self-transformation. (shrink)

From the Series Editor's Introduction: For much of the twentieth century, French intellectual life was dominated by theoreticians and historians of mentalite. Traditionally, the study of the mind and of its limits and capabilities was the domain of philosophy, however in the first decades of the twentieth century practitioners of the emergent human and social sciences were increasingly competing with philosophers in this field: ethnologists, sociologists, psychologists and historians of science were all claiming to study 'how people think'. Scholars, including (...) Gaston Bachelard, Georges Canguilhem, Leon Brunschvicg, Lucien Levy-Bruhl, Lucien Febvre, Abel Rey, Alexandre Koyre and Helene Metzger were all investigating the mind historically and participating in shared research projects. Yet, as they have since been appropriated by the different disciplines, literature on their findings has so far failed to recognise the connections between their research and their importance in intellectual history.In this exemplary book, Cristina Chimisso reconstructs the world of these intellectuals and the key debates in the philosophy of mind, particularly between those who studied specific mentalities by employing prevalently historical and philological methods, and those who thought it possible to write a history of the mind, outlining the evolution of ways of thinking that had produced the modern mentality. Dr Chimisso situates the key French scholars in their historical context and shows how their ideas and agendas were indissolubly linked with their social and institutional positions, such as their political and religious allegiances, their status in academia, and their familial situation.The author employs a vast range of original research, using philosophical and scientific texts as well as archive documents, correspondence and seminar minutes from the period covered, to recreate the milieu in which these relatively neglected scholars made advances in the history of philosophy and science, and produced ideas that would greatly influence later intellectuals such as Foucault, Derrida and Bourdieu. This book will appeal to historians of science and philosophy, particularly Continental philosophy, and those with interest in the history of ideas and the historiography of the disciplines of the social sciences. (shrink)

This book brings together three main topics - deconstruction, philosophy of language, and literary theory - that have figured centrally in Christopher Norris's work over the past two decades. It offers a refreshingly clear and vigorous statement of his views as to how ‘theory' might profit from a greater awareness of current philosophical debates while philosophy might likewise gain by adopting a more open-minded attitude toward developments in literary theory. Most significant here is Norris's continuing exploration of the various points (...) of contact between Jacques Derrida's thought and the kinds of concern - especially with issues in philosophical semantics and speech-act theory - that have preoccupied thinkers in the ‘other', mainstream-analytic line of descent. However his focus is consistently on matters that should be of interest to philosophers and literary theorists alike. Thus Norris devotes some penetrating commentary to topics such as modal or ‘possible-worlds' logic as it bears upon issues in narrative theory; the ‘two cultures' controversy; the different ways in which literary theory has alternately embraced and rejected the appeal to ‘scientific' modes of analysis; and some possible reasons for Wittgenstein's well-known aversion to Shakespeare. He also suggests a novel approach to the free-will/determinism issue by way of debates about the nature of language and the scope it affords for expressive creativity despite - or owing to - the limits imposed by various structural constraints. Altogether this important new book provides a welcome overview of the author's current thinking and an equally welcome enlargement of horizons in contrast to the narrowly specialised character of much present-day academic discourse. (shrink)

The relationship of Jacques Derrida and Martin Heidegger has always been complex, encompassing an entanglement of two already immense networks and suspended between proximities and distances from infinitesimal to radical. Its peculiarity is evident in the way in which Derrida strategically inscribes his own text at the margin of Heidegger's thought via a double or cl6tural gesture which articulates the paradox that Derrida writes with Heidegger against Heidegger. One of the most decisive aspects of this gesture is Derrida's deconstruction of (...) Heidegger's claims regarding the relation between technology and philosophy. In "The Question Concerning Technology" and accompanying essays Heidegger opens up a way of reflecting upon the essence of technology moves against its metaphysical determination specifying, moreover, the sense of modern technology as a mode of disclosure. These reflections are, however, ambiguous. Heidegger is one of the first thinkers to confront technology in philosophical terms, and yet he wishes to purify thinking of originary technicity. Technology remains a question, and as a question asked by thinking, thinking is not technical. In other words, thinking for Heidegger, is constituted in its very difference from technology. This is the move that must be deconstructed. In simultaneously repeating and displacing the Heideggerian scheme, Derrida elaborates an infinitesimal and decisive différance between the thinking of Being and his own notion of "writing" (Vecriture) or generalized inscription. What is crucial is that as against Heidegger's Being, the general text is not an essence of technics nor is it a proper thinking opposed to technology. On the contrary, Derrida's main point, among other things, against Heidegger, is that technology has always already begun, that it is originary with respect to the history of Being and thinking. In this study I examine the stakes and implications of Derrida's move along with a possible Heideggerian response. To begin with, I develop a reading of Heidegger's text that shows the import of technology to his work as a whole and its centrality to the thinking of Being as difference. I then take up the question of Derrida's deconstruction of Heidegger's analysis of the history of Being and its technological completion as this is played out in The Post Card and related texts. Following this I revert back to Derrida's now "classic" writings of the late 1960s and early 1970s and explore the arguments that relate contemporary developments in technology, science, and the media to the problematic of writing and to the closure of logocentric metaphysics. The preceding chapters lay the groundwork for me to then offer a critical reading of Derrida's text that locates in the articulations and assumptions of deconstruction certain indications of its belonging, within the horizon of Heidegger's thinking of technology. Finally, I offer a reading of some of Derrida's later texts with the aim of showing that and how deconstruction emerges as an affirmative technology. (shrink)