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

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)

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)

Every Thing Must Go aruges that the only kind of metaphysics that can contribute to objective knowledge is one based specifically on contemporary science as it ...

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)

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

"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.

Nietzsche called The Gay Science "the most personal of all my books." It was here that he first proclaimed the death of God -- to which a large part of the book is devoted -- and his doctrine of the eternal recurrence. Walter Kaufmann's commentary, with its many quotations from previously untranslated letters, brings to life Nietzsche as a human being and illuminates his philosophy. The book contains some of Nietzsche's most sustained discussions of art and morality, knowledge and truth, (...) the intellectual conscience and the origin of logic. Most of the book was written just before Thus Spoke Zarathustra, the last part five years later, after Beyond Good and Evil. We encounter Zarathustra in these pages as well as many of Nietzsche's most interesting philosophical ideas and the largest collection of his own poetry that he himself ever published. Walter Kaufmann's English versions of Nietzsche represent one of the major translation enterprises of our time. He is the first philosopher to have translated Nietzsche's major works, and never before has a single translator given us so much of Nietzsche. (shrink)

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

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)

_'Philosophy, from the earliest times, has made greater claims, and acheived fewer results than any other branch of learning... I believe that the time has now arrived when this unsatisfactory state of affairs can be brought to an end'_ - _Bertrand Russell_ So begins _Our Knowledge of the Eternal World_, Bertrand Russell's classic attempt to show by means of examples, the nature, capacity and limitations of the logico-analytical method in philosophy.

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)

This book is an accessible introduction to the central themes of contemporary metaphysics. It carefully considers accounts of causation, freedom and determinism, laws of nature, personal identity, mental states, time, material objects, and properties, while inviting students to reflect on metaphysical problems. The philosophical questions discussed include: What makes it the case that one event causes another event? What are material objects? Given that material objects exist, do such things as properties exist? What makes it the case that a person (...) may exist at two different times? An Introduction to Metaphysics makes these tough questions tractable by presenting the features and flaws of current attempts to answer them. Intended primarily for students taking a first class in metaphysics, this lucid and well-written text would also provide an excellent introduction for anyone interested in knowing more about this important area of philosophy. (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.

Difficult Atheism shows how contemporary French philosophy is rethinking the legacy of the death of God in ways that take the debate beyond the narrow confines of atheism into the much broader domain of post-theological thinking. Christopher Watkin argues that Alain Badiou, Jean-Luc Nancy and Quentin Meillassoux each elaborate a distinctive approach to the post-theological, but that each approach still struggles to do justice to the death of God.

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)

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. (shrink)

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.

The history of Pythagoreanism is littered with different and incompatible interpretations. This observation directs this book towards a fundamentally historiographical rather than philological approach, setting out to reconstruct the way in which the tradition established Pythagoreanism s image.".

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

'Alain Badiou: Between Theology and Anti-theology' provides one of the first comprehensive analyses of the relationship between Badiou's philosophy and theology. Examining the full range of Badiou's writings, this provocative study explores how Badiou's philosophy relies on theology even if he claims otherwise and actively attempts to work against theology. Despite the complex questions discussed - ranging across ontology, the theory of truth and the subject, philosophy and its conditions, and anti-philosophy - this book presents a clear and accessible overview (...) of the theological, religious and biblical themes which animate Badiou's philosophy. (shrink)

I have always considered that the two questions respecting God and the Soul were the chief of those that ought to be demonstrated by philosophical rather than ...

I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and (...) Gödel incompleteness. I hypothesize that only computable and decidable (in Gödel’s sense) structures exist, which alleviates the cosmological measure problem and may help explain why our physical laws appear so simple. I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems. (shrink)

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.

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

This book offers a broad-based critical survey of recent anti-realist arguments in the philosophy of science, cultural theory, hermeneutics, the sociology of knowledge and the interpretation of quantum-mechanics.

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...) brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

What is empiricism and what could it be? Bas . van Fraassen, one of the world’s foremost contributors to philosophical logic and the philosophy of science, here undertakes a fresh consideration of these questions and offers a program for renewal of the empiricist tradition. The empiricist tradition is not and could not be defined by common doctrines, but embodies a certain stance in philosophy, van Fraassen says. This stance is displayed first of all in a searing, recurrent critique of metaphysics, (...) and secondly in a focus on experience that requires a voluntarist view of belief and opinion. Van Fraassen focuses on the philosophical problems of scientific and conceptual revolutions and on the not unrelated ruptures between religious and secular ways of seeing or conceiving of ourselves. He explores what it is to be or not be secular and points the way toward a new relationship between secularism and science within philosophy. (shrink)

This work stresses the illogical manner in which mathematics has developed, the question of applied mathematics as against 'pure' mathematics, and the challenges to the consistency of mathematics' logical structure that have occurred in the twentieth century.

"The Analysis of Matter" is one of the earliest and best philosophical studies of the new physics of relativity and quantum mechanics.

1929. The course of Gifford Lectures that Eddington delivered in the University of Edinburgh in January to March 1927.

How do we know what we "know"? How did we –as individuals and as a society – come to accept certain knowledge as fact? In _Human Knowledge,_ Bertrand Russell questions the reliability of our assumptions on knowledge. This brilliant and controversial work investigates the relationship between ‘individual’ and ‘scientific’ knowledge. First published in 1948, this provocative work contributed significantly to an explosive intellectual discourse that continues to this day.

This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.

This edition provides texts from the full range of Berkeley's contributions to philosophy, and sets them in their historical and philosophical contexts.