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)

Gilles Deleuze’s engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems – for example, the problem of individuation – and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze’s philosophy, (...) as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. -/- In the wake of Alain Badiou’s recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze’s work, Simon Duffy offers a robust defence of the structure of Deleuze’s philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze’s seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze’s philosophy, rebuffing the recent challenges against it. -/- Simon B. Duffy is a Senior Lecturer in Philosophy at Yale-NUS College, Singapore, and Honorary Research Associate in the Department of Philosophy at the University of Sydney, Australia. He is the author of The Logic of Expression: Quality, Quantity, and Intensity in Spinoza, Hegel and Deleuze (2006). (shrink)

In a recent paper, Richard Rorty begins by telling us why pragmatists such as himself are inclined to identify truth with justification: ‘Pragmatists think that if something makes no difference to practice, it should make no difference to philosophy. This conviction makes them suspicious of the distinction between justification and truth, for that distinction makes no difference to my decisions about what to do.’ (1995, p. 19) Rorty goes on to discuss the claim, defended by Crispin Wright, that truth is (...) a normative constraint on assertion. He argues that this claim runs foul of this principle of no difference without a practical difference: ‘The need to justify our beliefs to ourselves and our fellow agents subjects us to norms, and obedience to these norms produces a behavioural pattern that we must detect in others before confidently attributing beliefs to them. But there seems to be no occasion to look for obedience to an additional norm – the commandment to seek the truth. For – to return to the pragmatist doubt with which I began – obedience to that commandment will produce no behaviour not produced by the need to offer justification.’ (1995, p. 26) Again, then, Rorty appeals to the claim that a commitment to a norm of truth rather than a norm of justification makes no behavioural difference. This is an empirical claim, testable in principle by comparing the behaviour of a community of realists (in Rorty’s sense) to that of a community of pragmatists. In my view, the experiment would show that the claim is unjustified, indeed false. I think that there is an important and widespread behavioural pattern that depends on the fact that speakers do take themselves to be subject to such an additional norm. Moreover, it is a.. (shrink)

These essays provide important interpretations and analyze critical developments of the political philosophy of Gilles Deleuze. They situate his thought in the contemporary intellectual landscape by comparing him with contemporaries such as Derrida, Rorty, and Rawls and show how elements of his philosophy may be usefully applied to key contemporary issues including colonization and decolonization, the nature of liberal democracy, and the concepts and critical utopian aspirations of political philosophy. Patton discusses Deleuze's notion of philosophy as the creation of concepts (...) and shows how this may be helpful in understanding the nature of political concepts such as rights, justice, and democracy. Rather than merely commenting on or explaining Deleuze's thought, Patton offers a series of attempts to think with Deleuzian concepts in relation to other philosophers and other problems. His book represents a significant contribution to debates in contemporary political theory, continental philosophy, and Deleuzian studies. (shrink)

The Image of Law is the first book to examine law through the work of Gilles Deleuze, activating his thought within problems of jurisprudence and developing a concept of judgment that acknowledges its inherently creative capacity.

In the paper “Math Anxiety,” Aden Evens explores the manner by means of which concepts are implicated in the problematic Idea according to the philosophy of Gilles Deleuze. The example that Evens draws from Difference and Repetition in order to demonstrate this relation is a mathematics problem, the elements of which are the differentials of the differential calculus. What I would like to offer in the present paper is an historical account of the mathematical problematic that Deleuze deploys in his (...) philosophy, and an introduction to the role that this problematic plays in the develop- ment of his philosophy of difference. One of the points of departure that I will take from the Evens paper is the theme of “power series.”2 This will involve a detailed elaboration of the mechanism by means of which power series operate in the differential calculus deployed by Deleuze in Difference and Repetition. Deleuze actually constructs an alternative history of mathematics that establishes an historical conti- nuity between the differential point of view of the infinitesimal calculus and modern theories of the differential calculus. It is in relation to the differential point of view of the infinitesimal calculus that Deleuze determines a differential logic which he deploys, in the form of a logic of different/ciation, in the development of his proj- ect of constructing a philosophy of difference. (shrink)

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

Examines the philosophy of Henri Bergson, explains his concepts of duration, memory, and elan vital, and discusses the influence of science on Bergson.

Suggests an open system of psychological exploration to cut through accepted norms of morality, language, and politics.

For those not yet acquainted with the work of this philosopher, this book provides a point of entry to his complex theories. For those more familiar with Deleuze, this collection should be useful in broadening their understanding of this influential thinker's journey in search of knowledge.

In this extraordinary work Gilles Deleuze reflects on one of the figures of the past who has most influenced his own sweeping reconfiguration of the tasks of philosophy.

The latest volume in the Oxford Readings in Philosophy series, this work brings together some of the best and most influential recent philosophical scholarship on Nietzsche. Opening with a substantial introduction by John Richardson, it covers: Nietzsche's views on truth and knowledge, his 'doctrines' of the eternal recurrence and will to power, his distinction between Apollinian and Dionysian art, his critique of morality, his conceptions of agency and self-creation, and his genealogical method. For each of these issues, the papers show (...) Nietzsche's continuing philosophical importance. Giving a clear and accessible overview, while retaining an analytical philosophical approach throughout, this volume is essential reading for all students of Nietzsche. (shrink)

Nietzsche is one of the most important and controversial thinkers in the history of philosophy. His writings on moral philosophy are amongst the most widely read works, both by philosophers and non-philosophers. Many of the ideas raised are both startling and disturbing, and have been the source of great contention. On the Genealogy of Morality is Nietzsche's most sustained and important contribution to moral philosophy, featuring many of the ideas for which he is best known, including the slave revolt in (...) morals; will to power; genealogy; and perspectivism. The Routledge Philosophy GuideBook to Nietzsche on Morality introduces the reader to these and other important Nietzschean themes patiently and clearly. It is the first book to examine the work in such a way, and will be a vital point of reference for any Nietzsche scholar, and essential reading for students coming to Nietzsche for the first time. (shrink)

Nietzsche's aims and targets -- Reading Nietzsche's preface -- Naturalism and genealogy -- Selflessness : the struggle with Schopenhauer -- Nietzsche and Paul Rée on the origins of moral feelings -- Good and evil : affect, artistry, and revaluation -- Free will, autonomy, and the sovereign individual -- Guilt, bad conscience, and self-punishment -- Will to power in the Genealogy -- Nietzsche's illustration of the art of exegesis -- Disinterestedness and objectivity -- Perspectival knowing and the affects -- The ascetic (...) ideal, meaning, and truth -- Beyond selflessness. (shrink)

The “naturalistic turn” that has swept so many areas of philosophy over the past three decades has also had an impact in the last decade in legal philosophy. Methodological naturalists (M-naturalists) view philosophy as continuous with empirical inquiry in the sciences. Some M-naturalists want to replace conceptual and justificatory theories with empirical and descriptive theories; they take their inspiration from more-or-less Quinean arguments against conceptual analysis and foundationalist programs. Other M-naturalists retain the normative and regulative ambitions of traditional philosophy, but (...) emphasize that it is an empirical question what normative advice is actually useable and effective for creatures like us. Some M-naturalists are also.. (shrink)