Paul Livingston

The ancient problem of the relationship of the continuous to the discrete, since its discovery by the Greeks, has posed a range of immensely fruitful challenges to both philosophical and mathematical thought, leading to a variety of mathematical and conceptual innovations whose positive development actively continues today. In this brief section introduction, I selectively outline some significant moments at which this problem has provided important historical occasions for concrete mathematical innovation as well as closely linked philosophical insights, before introducing the particular contributions of the section authors to historical and contemporary research and practice into the nature and structure of the continuum, the construction of real numbers, the foundations of analysis, and the logical, set-theoretical, and computational underpinnings of the structure of continuously valued numbers in the most general sense, in both constructive and nonconstructivist contexts.

After more than thirty-five years of debate and discussion, versions of the functionalist theory of mind originating in the work of Hilary Putnam, Jerry Fodor, and David Lewis still remain the most popular positions among philosophers of mind on the nature of mental states and processes. Functionalism has enjoyed such popularity owing, at least in part, to its claim to offer a plausible and compelling description of the nature of the mental that is also consistent with an underlying physicalist or materialist ontology. Yet despite its continued popularity, many philosophers now think that functionalism leaves something out, in particular that functional explanations and analyses fail to account for consciousness, qualia, or phenomenal states of experience or awareness.¹ If the objection is correct, then functionalism fails in its inability..

Working through Balaska’s deeply perceptive, elegantly written, and profoundly honest book, Wittgenstein and Lacan at the Limit, a reader steeped in the recent academic literature about either or both of its main figures may come to feel herself placed at what is, itself, a certain kind of limit. The limit I mean is the limit of a familiar type of theoretical discourse about the constitution and structure of language and subjectivity as Wittgenstein and Lacan treat them: it includes the discourses that seek, for instance, to articulate how language and sense are constituted in the Tractatus, and thus what is really meant by “logical form” and “nonsense” there; or those that aim to comprehend the true relationship of our biological nature to language, culture, and the advent of freedom in Lacan; or, again, those that try to find, in either thinker’s works, the precise location of the delicate logical buttonhole that would alone permit us entry, from within everyday language and life, to the absoluteness of an ineffable beyond. These discourses all treat of language and life, but handle these phenomena at arm’s length, theorizing the structure of each and the form of their relationship in such a way as to establish, ultimately, their mutual convertibility to one another, their mutual absorption into a third, more inclusive term, or adduce translations from the dense theoretical matrices of one thinker’s treatment of them to the other’s. Balaska’s book, doing none of these things, rather succeeds in bringing out how an interconnected reading of the Wittgenstein of the Tractatus and Lacan may speak to and inform our response to a certain kind of experience that is characteristic for both thinkers, and typical as well of those moments and occasions of our lives in which we may find ourselves drawn to reflect on what meaning is and how we relate to it.

Several debates of the last years within the research field of contemporary realism – known under titles such as "New Realism," "Continental Realism," or "Speculative Materialism" – have shown that science is not systematically the ultimate measure of truth and reality. This does not mean that we should abandon the notions of truth or objectivity all together, as has been posited repeatedly within certain currents of twentieth century philosophy. However, within the research field of contemporary realism, the concept of objectivity itself has not been adequately refined. What is objective is supposed to be true outside a subject’s biases, interpretations and opinions, having truth conditions that are met by the way the world is. The volume combines articles of internationally outstanding authors who have published on either Idealism, Epistemic Relativism, or Realism and often locate themselves within one of these divergent schools of thought. As such, the volume focuses on these traditions with the aim of clarifying what the concept objectivity nowadays stands for within contemporary ontology and epistemology beyond the analytic-continental divide. With articles from: Jocelyn Benoist, Ray Brassier, G. Anthony Bruno, Dominik Finkelde, Markus Gabriel, Deborah Goldgaber, Iain Hamilton Grant, Graham Harman, Johannes Hübner, Andrea Kern, Anton F. Koch, Martin Kusch, Paul M. Livingston, Paul Redding, Sebastian Rödl, Dieter Sturma.

This paper considers the historical and current reception of Husserl’s phenomenological project within the tradition of analytic philosophy, especially in the United States. Despite the fact that both Husserlian phenomenology and the analytic tradition have centrally undertaken systematic analysis and clarification of structures of meaning or sense, the project of phenomenological analysis and reflection has never been centrally or comprehensively integrated into the most characteristic projects of the analytic tradition. This resistance owes in part to the strong elements of naturalism, conventionalism, reductionism, and realism characteristic of the projects of the analytic tradition. I argue that there remains little hope for a comprehensive rapprochement between Husserlian phenomenology and analytic philosophy that retains without significant distortion the most characteristic methods of both. Nevertheless, it is possible to envision a contemporary development of a phenomenologically informed “post-analytic” philosophy that would integrate phenomenological methods and ideas to supplement the analytic project just where some of its constitutive limitations are, today, becoming most evident.

_ Source: _Volume 94, Issue 3, pp 301 - 331 The idea that we can understand key aspects of the metaphysics of consciousness by understanding conscious states as having a _presentational_ character plays an essential role in the phenomenological tradition beginning with Brentano and Husserl. In this paper, the author explores some potential consequences of this connection for contemporary discussions of the ontology of consciousness in the world. Drawing on Hintikka’s analysis of epistemic modality, the author argues that the essential presentational character of consciousness can be seen as accounting for the familiar failure of substitutivity of identicals in intensional contexts of conscious presentation and further provides for an ontology of conscious presentation that avoids metaphysically problematic commitments to “special” intentional objects. The author next considers how the irreducibility of intensional contexts, if grounded in the presentational character of consciousness, also may provide for a kind of irreducibility of the “first-person” perspective to third-person or objective description across possible worlds. Finally, drawing on Chalmers’ “two-dimensionalist” semantic framework, the author argues that attention to the presentational aspect of consciousness as thus understood, while it provides significant motivation for the existence of the “hard problem” of the irreducibility of consciousness to physical and structural description, is nevertheless consistent with a globally monist, rather than dualist, ontology.

I consider the relationship of Badiou’s schematism of the event to critical thought following the linguistic turn as well as to the mathematical formalisms of set theory. In Being and Event, Badiou uses formal argumentation to support his sweeping rejection of the linguistic turn as well as much of contemporary critical thought. This rejection stems from his interpretation of set theory as barring thought from the 'One-All' of totality; but I argue that, by interpreting it differently, we can understand this implication in a way that is in fact consistent with the critical and linguistic methods Badiou wishes to reject.

Historical investigation and analysis of the concepts of "consciousness," "experience," and "explanation" can clarify and sharpen contemporary discussion in philosophy of mind about the problem of explaining consciousness. I have investigated the difficulties of explaining consciousness at four historically important moments in the development of analytic philosophy of mind. In each chapter, I unearth and evaluate the arguments originally made for influential theories and doctrines, and analyze philosophical justifications for the positions of some of their most important adherents. I argue that theoretical innovations in the philosophy of mind have repeatedly taken the form of responses to various versions of a single underlying problem: the problem of the linguistic or logical analysis of the structure of immediate experience. ;The first chapter investigates the structuralist theory of the relationship of experience to meaning held by Schlick and the early Carnap, tracing to this theory some of the main tensions and problems that led to the protocol sentence debate and yielded the physicalism of Neurath. The second chapter analyzes the influential polemic between Schlick and Husserl on the nature of truths about the structure of experience. The third chapter investigates the methodology of analysis that underlies Ryle's influential project in The Concept of Mind, showing that Ryle was not at all a logical behaviorist and that a misunderstanding of his project played a decisive role in the origin of the Identity Theory of Place and Smart. Finally, the fourth chapter traces the development of Putnam and Fodor's functionalism in the 1960s as a corrective to the Identity Theory's inadequate treatment of the logic of first-personal psychological description. Collectively, the four case studies recommend a greater sensitivity to historical positions in the discussion of consciousness, and the reconnection of the current debate to an older discussion of the relationship of subjective experience to the world, objectively described

Investigation and analysis of the history of the concepts employed in contemporary philosophy of mind could significantly change the contemporary debate about the explainability of consciousness. Philosophical investigation of the history of the concept of qualia and the concept of scientific explanation most often presupposed in contemporary discussions of consciousness reveals the origin of both concepts in some of the most interesting philosophical debates of the twentieth century. In particular, a historical investigation of the inheritance of concepts of the elements of experience and the nature of scientific explanation from C. I. Lewis and Rudolf Carnap to contemporary theorists like David Chalmers shows the profound continuity of these concepts throughout the analytic tradition, despite important changes in the dimensions of philosophical relevance and significance that have characterized the emerging debate. I argue that, despite the significant methodological shift from the foundationalist epistemology of the 1920s to today's functionalist explanations of the mind, the problem of explaining consciousness has remained the problem of analysing or describing the logical and relational structure of immediate, given experience. Appreciation of this historical continuity of form recommends a more explicit discussion of the philosophical reasons for the underlying distinction between structure and content, reasons that trace to Lewis and Carnap's influential but seldom-discussed understanding of the relationship between subjectivity, conceived as the realm of private, ineffable contents, and objectivity, understood as public, linguistic expressibility. With this historical background in mind, the contemporary debate about the explanation of consciousness can be re-interpreted as a debate about the relationship between ineffable experience and structurally conceived meaning

This forward-thinking collection presents new work that looks beyond the division between the analytic and continental philosophical traditions—one that has long caused dissension, mutual distrust, and institutional barriers to the development of common concerns and problems. Rather than rehearsing the causes of the divide, contributors draw upon the problems, methods, and results of both traditions to show what post-divide philosophical work looks like in practice. Ranging from metaphysics and philosophy of mind to political philosophy and ethics, the papers gathered here bring into mutual dialogue a wide range of recent and contemporary thinkers, and confront leading problems common to both traditions, including methodology, ontology, meaning, truth, values, and personhood. Collectively, these essays show that it is already possible to foresee a future for philosophical thought and practice no longer determined neither as "analytic" nor as "continental," but, instead, as a pluralistic synthesis of what is best in both traditions. The new work assembled here shows how the problems, projects, and ambitions of twentieth-century philosophy are already being taken up and productively transformed to produce new insights, questions, and methods for philosophy today

In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have far-reaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logical-mathematical structures forms the backbone of his comprehensive and provocative theory of ontology, politics, and the possibilities of radical change. Through interpretive readings of Badiou's work as well as the texts of Giorgio Agamben, Jacques Lacan, Jacques Derrida, Gilles Deleuze, and Ludwig Wittgenstein, Livingston develops a formally based taxonomy of critical positions on the nature and structure of political communities. These readings, along with readings of Parmenides and Plato, show how the formal results can transfigure two interrelated and ancient problems of the One and the Many: the problem of the relationship of a Form or Idea to the many of its participants, and the problem of the relationship of a social whole to its many constituents.

The problem of explaining consciousness remains a problem about the meaning of language: the ordinary language of consciousness in which we define and express our sensations, thoughts, dreams and memories. This book argues that the problem arises from a quest that has taken shape over the twentieth century, and that the analysis of history provides new resources for understanding and resolving it. Paul Livingston traces the development of the characteristic practices of analytic philosophy to problems about the relationship of experience to linguistic meaning, focusing on the theories of such philosophers as Carnap, Schlick, Neurath, Husserl, Ryle, Putnam, Fodor and Wittgenstein. Clearly written and avoiding technicalities, this book will be eagerly sought out by professionals and graduate students in philosophy and cognitive science.

Frege ridiculed the formalist conception of mathematics by saying that the formalists confused the unimportant thing, the sign, with the important, the meaning. Surely, one wishes to say, mathematics does not treat of dashes on a bit of paper. Frege’s idea could be expressed thus: the propositions of mathematics, if they were just complexes of dashes, would be dead and utterly uninteresting, whereas they obviously have a kind of life. And the same, of course, could be said of any proposition: Without a sense, or without the thought, a proposition would be an utterly dead and trivial thing. And further it seems clear that no adding of inorganic signs can make the proposition live. And the conclusion which one draws from this is that what must be added to the dead signs in order to make a live proposition is something immaterial, with properties different from all mere signs. But if we had to name anything which is the life of the sign, we should have to say that it was its use. (Blue Book, p.