Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.

"One of the major works in the development of contemporary criticism and philosophy." -- J. Hillis Miller, Yale University Jacques Derrida's revolutionary theories about deconstruction, phenomenology, psychoanalysis, and structuralism, first voiced in the 1960s, forever changed the face of European and American criticism. The ideas in De la grammatologie sparked lively debates in intellectual circles that included students of literature, philosophy, and the humanities, inspiring these students to ask questions of their disciplines that had previously been considered improper. Thirty years (...) later, the immense influence of Derrida's work is still igniting controversy, thanks in part to Gayatri Spivak's translation, which captures the richness and complexity of the original. This corrected edition adds a new index of the critics and philosophers cited in the text and makes one of contemporary criticism's most indispensable works even more accessible and usable. (shrink)

Against "political philosophy" -- Politics as thought -- Althusser -- Politics unbound -- A speculative disquisition on the concept of democracy -- Truths and justice -- Rancière and the community of equals -- Rancière and apolitics -- What is a thermidorean? -- Politics as truth procedure.

What is it to be scientific? Is there such a thing as scientific method? And if so, how might such methods be justified? Robert Nola and Howard Sankey seek to provide answers to these fundamental questions in their exploration of the major recent theories of scientific method. Although for many scientists their understanding of method is something they just pick up in the course of being trained, Nola and Sankey argue that it is possible to be explicit about what this (...) tacit understanding of method is, rather than leave it as some unfathomable mystery. They robustly defend the idea that there is such a thing as scientific method and show how this might be legitimated. This book begins with the question of what methodology might mean and explores the notions of values, rules and principles, before investigating how methodologists have sought to show that our scientific methods are rational. Part 2 of this book sets out some principles of inductive method and examines its alternatives including abduction, IBE, and hypothetico-deductivism. Part 3 introduces probabilistic modes of reasoning, particularly Bayesianism in its various guises, and shows how it is able to give an account of many of the values and rules of method. Part 4 considers the ideas of philosophers who have proposed distinctive theories of method such as Popper, Lakatos, Kuhn and Feyerabend and Part 5 continues this theme by considering philosophers who have proposed naturalised theories of method such as Quine, Laudan and Rescher. This book offers readers a comprehensive introduction to the idea of scientific method and a wide-ranging discussion of how historians of science, philosophers of science and scientists have grappled with the question over the last fifty years. (shrink)

At last available in paperback, this book anticipates and explains the post-structuralist turn to empiricism. Presenting a challenging reading of David Hume's philosophy, the work is invaluable for understanding the progress of Deleuze's thought.

1. The lever in question is, of course, that with which, provided that an appropriate fulcrum could be found, Archimedes could move the world. In the analogy I have in mind, the fulcrum is the given, by virtue of which the mind gets leverage on the world of knowledge.

Now available for the first time in paperback, the remarkable debut of a former student of Alain Badiou.

This book introduces a new approach to the issue of radical scientific revolutions, or "paradigm-shifts," given prominence in the work of Thomas Kuhn. The book articulates a dynamical and historicized version of the conception of scientific a priori principles first developed by the philosopher Immanuel Kant. This approach defends the Enlightenment ideal of scientific objectivity and universality while simultaneously doing justice to the revolutionary changes within the sciences that have since undermined Kant's original defense of this ideal. Through a modified (...) Kantian approach to epistemology and philosophy of science, this book opposes both Quinean naturalistic holism and the post-Kuhnian conceptual relativism that has dominated recent literature in science studies. Focussing on the development of "scientific philosophy" from Kant to Rudolf Carnap, along with the parallel developments taking place in the sciences during the same period, the author articulates a new dynamical conception of relativized a priori principles. This idea applied within the physical sciences aims to show that rational intersubjective consensus is intricately preserved across radical scientific revolutions or "paradigm-shifts and how this is achieved. (shrink)

The first edition of this book profoundly challenged and divided students of philosophy, sociology, and the history of science when it was published in 1976. In this second edition, Bloor responds in a substantial new Afterword to the heated debates engendered by his book.

Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favor of another approach--naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

Structural realism is considered by many realists and antirealists alike as the most defensible form of scientific realism. There are now many forms of structural realism and an extensive literature about them. There are interesting connections with debates in metaphysics, philosophy of physics and philosophy of mathematics. This entry is intended to be a comprehensive survey of the field.

In this outstanding collection of essays, Isaiah Berlin, one of the great thinkers of the twentieth century, discusses the importance in the history of thought of dissenters whose ideas still challenge conventional wisdom--among them Machiavelli, Vico, Montesquieu, Herzen, and Sorel. With his unusual powers of imaginative re-creation, Berlin brings to life original minds that swam against the current of their times.

"God is dead. God remains dead. And we have killed him." This is the book in which Nietzsche put forth his boldest declaration. It is also his most personal. Essential reading for students of philosophy, history, and literature, it features some of Nietzsche's most important discussions of art, morality, knowledge, and, ultimately, truth.

This volume, assembled with the collaboration of the author, presents for the first time in English a comprehensive outline of Badiou's ambitious system.

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of (...) the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments. (shrink)

In Supersizing the Mind, Andy Clark argues that the human mind is not bound inside the head but extends into body and environment.

Steven French and Decio Krause examine the metaphysical foundations of quantum physics. They draw together historical, logical, and philosophical perspectives on the fundamental nature of quantum particles and offer new insights on a range of important issues. Focusing on the concepts of identity and individuality, the authors explore two alternative metaphysical views; according to one, quantum particles are no different from books, tables, and people in this respect; according to the other, they most certainly are. Each view comes with certain (...) costs attached and after describing their origins in the history of quantum theory, the authors carefully consider whether these costs are worth bearing. Recent contributions to these discussions are analyzed in detail and the authors present their own original perspective on the issues. The final chapter suggests how this perspective can be taken forward in the context of quantum field theory. (shrink)

Of fundamental importance to literary critics and philosophers, Difference and Repetition develops two central concepts -- pure difference and complex ...

This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated here for (...) the first time. (shrink)

In informal terms, abductive reasoning involves inferring the best or most plausible explanation from a given set of facts or data. It is a common occurrence in everyday life and crops up in such diverse places as medical diagnosis, scientific theory formation, accident investigation, language understanding, and jury deliberation. In recent years, it has become a popular and fruitful topic in artificial intelligence research. This volume breaks new ground in the scientific, philosophical, and technological study of abduction. It presents new (...) ideas about inferential and information-processing foundations for knowledge and certainty. The authors argue that knowledge arises from experience by processes of abductive inference, in contrast to the view that it arises non-inferentially, or that deduction and inductive generalization are enough to account for knowledge. Much AI research is hypothetical, so the importance of this book is that it reports key discoveries about abduction that have been made as a result of designing, building, testing, and analyzing actual working knowledge-based systems for medical diagnosis and other abductive tasks. The book tells the story of six generations of increasingly sophisticated generic abduction machines, RED-1, RED-2, PEIRCE, MDX2, TIPS, QUAWDS, and the discovery of reasoning strategies that make it computationally feasible to form well-justified composite explanatory hypotheses, despite the threat of combinatorial explosion. The final chapter argues that perception is logically abductive and presents a layered-abduction computational model of perceptual information processing. This book will be of great interest to researchers in AI, cognitive science, and philosophy of science. (shrink)

Examines both sides of this major dilemma, arguing that the conflict between science and theistic religion is actually superficial, and that at a deeper level they are in concord with each other.

This is the first single-volume edition and translation of Frege's philosophical writings to include his seminal papers as well as substantial selections from ...

Genevieve Lloyd presents a new study of the place of Enlightenment thought in intellectual history and of its continued relevance. She offers original readings of a range of key texts, which highlight the ways in which Enlightenment thinkers enacted in their writing--and reflected on--the interplay of intellect, imagination, and emotion.

Normativity concerns what we ought to think or do and the evaluations we make. For example, we say that we ought to think consistently, we ought to keep our promises, or that Mozart is a better composer than Salieri. Yet what philosophical moral can we draw from the apparent absence of normativity in the scientific image of the world? For scientific naturalists, the moral is that the normative must be reduced to the nonnormative, while for nonnaturalists, the moral is that (...) there must be a transcendent realm of norms. _Naturalism and Normativity_ engages with both sides of this debate. Essays explore philosophical options for understanding normativity in the space between scientific naturalism and Platonic supernaturalism. They articulate a liberal conception of philosophy that is neither reducible to the sciences nor completely independent of them—yet one that maintains the right to call itself naturalism. Contributors think in new ways about the relations among the scientific worldview, our experience of norms and values, and our movements in the space of reason. Detailed discussions include the relationship between philosophy and science, physicalism and ontological pluralism, the realm of the ordinary, objectivity and subjectivity, truth and justification, and the liberal naturalisms of Donald Davidson, John Dewey, John McDowell, and Ludwig Wittgenstein. (shrink)

Original essays by leading philosophers of science explore the question of whether metaphysics can and should be naturalized--conducted as part of natural science.

The late 20th century saw a remarkable flourishing of philosophy in France. The work of French philosophers is wide ranging, historically informed, often reaching out beyond the boundaries of philosophy; they are public intellectuals, taken seriously as contributors to debates outside the academy. Gary Gutting tells the story of the development of a distinctively French philosophy in the last four decades of the 20th century. His aim is to arrive at an account of what it was to 'do philosophy' in (...) France, what this sort of philosophizing was able to achieve, and how it differs from the analytic philosophy dominant in Anglophone countries. -/- His initial focus is on the three most important philosophers who came to prominence in the 1960s: Michel Foucault, Gilles Deleuze, and Jacques Derrida. He sets out the educational and cultural context of their work, as a basis for a detailed treatment of how they formulated and began to carry out their philosophical projects in the 1960s and 1970s. He gives a fresh assessment of their responses to the key influences of Hegel and Heidegger, and the fraught relationship of the new generation to their father-figure Sartre. He concludes that Foucault, Derrida, and Deleuze can all be seen as developing their fundamental philosophical stances out of distinctive readings of Nietzsche. The second part of the book considers topics and philosophers that became prominent in the 1980s and 1990s, such as the revival of ethics in Levinas, Derrida, and Foucault, the return to phenomenology and its use to revive religious experience as a philosophical topic, and Alain Badiou's new ontology of the event. Finally Gutting brings to the fore the meta-philosophical theme of the book, that French philosophy since the 1960s has been primarily concerned with thinking the impossible. (shrink)

Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied (...) with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy. (shrink)

This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics.

Theoretical and manipulative abduction conjectures and manipulations : the extra-theoretical dimension of scientific discovery. -- Non-explanatory and instrumental abduction : plausibility, implausibility, ignorance preservation. -- Semiotic brains and artificial minds : how brains make up material cognitive systems. -- Neuromultimodal abduction : pre-wired brains, embidiment, neurospaces. -- Animal abduction : from mindless organisms to srtifactual mediators. -- Abduction, affordances, and cognitive niches : sharing representations and creating chances through cognitive niche construction. -- Abduction in human and logical agents : hasty (...) generalizers, hybrid abducers, fallacies. -- Morphodynamical abduction : causation of hypotheses by attractors dynamics. (shrink)

The subtractive : preface by Francois Wahl -- Philosophy itself -- The (re)turn of philosophy itself -- Definition of philosophy -- What is a philosophical institution? -- Philosophy and poetry -- The philosophical recourse to the poem -- Mallarm's method : subtraction and isolation -- Rimbaud's method : interruption -- Philosophy and mathematics -- Conference on subtraction -- Truth : forcing and unnameable -- Philosophy and politics -- Philosophy and love -- What is love? -- Philosophy and psychoanalysis -- Subject (...) and infinite -- Antiphilosophy : Lacan and Plato -- Writing of the generic -- Writing of the generic : Samuel beckett. (shrink)

Sam Gillespie's The Mathematics of Novelty presents a new account of Alain Badiou and Gilles Deleuze, identifying conceptual impasses in their philosophical ...

Early analytic philosophy -- Radical translation and intersubjective practice -- Critical outcome.

This volume of essays brings together leading commentators from both sides of the Atlantic to provide an introduction to Badiou's work through critical studies ...

At a time when the analytic/continental split dominates contemporary philosophy, this ambitious work offers a careful and clear-minded way to bridge that divide. Combining conceptual rigor and clarity of prose with historical erudition, A Thing of This World shows how one of the standard issues of analytic philosophy—realism and anti-realism—has also been at the heart of continental philosophy. Using a framework derived from prominent analytic thinkers, Lee Braver traces the roots of anti-realism to Kant's idea that the mind actively organizes (...) experience. He then shows in depth and in detail how this idea evolves through the works of Hegel, Nietzsche, Heidegger, Foucault, and Derrida. This narrative presents an illuminating account of the history of continental philosophy by explaining how these thinkers build on each other's attempts to develop new concepts of reality and truth in the wake of the rejection of realism. Braver demonstrates that the analytic and continental traditions have been discussing the same issues, albeit with different vocabularies, interests, and approaches. By developing a commensurate vocabulary, his book promotes a dialogue between the two branches of philosophy in which each can begin to learn from the other. (shrink)

For thousands of years, people have used nature to justify their political, moral, and social judgments. Such appeals to the moral authority of nature are still very much with us today, as heated debates over genetically modified organisms and human cloning testify. The Moral Authority of Nature offers a wide-ranging account of how people have used nature to think about what counts as good, beautiful, just, or valuable. The eighteen essays cover a diverse array of topics, including the connection of (...) cosmic and human orders in ancient Greece, medieval notions of sexual disorder, early modern contexts for categorizing individuals and judging acts as "against nature," race and the origin of humans, ecological economics, and radical feminism. The essays also range widely in time and place, from archaic Greece to early twentieth-century China, medieval Europe to contemporary America. Scholars from a wide variety of fields will welcome The Moral Authority of Nature, which provides the first sustained historical survey of its topic. Contributors: Danielle Allen, Joan Cadden, Lorraine Daston, Fa-ti Fan, Eckhardt Fuchs, Valentin Groebner, Abigail J. Lustig, Gregg Mitman, Michelle Murphy, Katharine Park, Matt Price, Robert N. Proctor, Helmut Puff, Robert J. Richards, Londa Schiebinger, Laura Slatkin, Julia Adeney Thomas, Fernando Vidal. (shrink)

This book is concerned with the history of metaphysics since Descartes. Taking as its definition of metaphysics 'the most general attempt to make sense of things', it charts the evolution of this enterprise through various competing conceptions of its possibility, scope, and limits. The book is divided into three parts, dealing respectively with the early modern period, the late modern period in the analytic tradition, and the late modern period in non-analytic traditions. In its unusually wide range, A. W. Moore's (...) study refutes the tired old cliché that there is some unbridgeable gulf between analytic philosophy and philosophy of other kinds. It also advances its own distinctive and compelling conception of what metaphysics is and why it matters. Moore explores how metaphysics can help us to cope with continually changing demands on our humanity by making sense of things in ways that are radically new. (shrink)

This book argues that the only kind of metaphysics that can contribute to objective knowledge is one based specifically on contemporary science as it really is, and not on philosophers' a priori intuitions, common sense, or simplifications of science. In addition to showing how recent metaphysics has drifted away from connection with all other serious scholarly inquiry as a result of not heeding this restriction, this book demonstrates how to build a metaphysics compatible with current fundamental physics, which, when combined (...) with metaphysics of the special sciences, can be used to unify physics with the other sciences without reducing these sciences to physics itself. Taking science metaphysically seriously, this book argues, means that metaphysicians must abandon the picture of the world as composed of self-subsistent individual objects, and the paradigm of causation as the collision of such objects. The text assesses the role of information theory and complex systems theory in attempts to explain the relationship between the special sciences and physics, treading a middle road between the grand synthesis of thermodynamics and information, and eliminativism about information. The consequences of the books' metaphysical theory for central issues in the philosophy of science are explored, including the implications for the realism versus empiricism debate, the role of causation in scientific explanations, the nature of causation and laws, the status of abstract and virtual objects, and the objective reality of natural kinds. (shrink)