Badiou's Being and Event and the Mathematics of Set Theory


Book Description

Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.




Being and Event


Book Description

A translation of one of the single most important works of recent French philosophy, Badiou's magnum opus, and a must-have for his growing following and anyone interested in contemporary Continental thought.




Mathematics of the Transcendental


Book Description

In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'. In doing so he sets out the basic onto-logical requirements of his greater and transcendental logics as articulated in his magnum opus, Logics of Worlds. Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use of category theory. The book is vital to understanding the mathematical and logical basis of his theory of appearing as elaborated in Logics of Worlds and other works and is essential reading for his many followers.




Logics of Worlds


Book Description

Logics of Worlds is the sequel to Alain Badiou's masterpiece, Being and Event. Tackling the questions that had been left open by Being and Event, and answering many of his critics in the process, Badiou supplements his pioneering treatment of multiple being with a daring and complex theory of the worlds in which truths and subjects make their mark - what he calls a materialist dialectic. Drawing on his most ambitious philosophical predecessors - Leibniz, Kant, Hegel, Kierkegaard, Lacan, Deleuze – Badiou ends this important later work with an impassioned call to 'live for an Idea'.




Alain Badiou: Live Theory


Book Description

Alain Badiou is undoubtedly the most exciting and influential voice in contemporary French philosophy and one of the most important theorists at work today. His impact on continental philosophy and the wider philosophy community, politics and the arts in the last twenty years has been immense. Alain Badiou: Live Theory offers a concise and accessible introduction to his work and thought, laying out the central themes of his major works, including his magnum opus, Being and Event, and its long-awaited sequel, Logics of Worlds. Oliver Feltham explores the fundamental questions through which Badiou's philosophy constantly evolves, identifies the key turning points in his ideas, and makes a clear case for the coherence and powerful singularity of his thought when employed in the analysis of political and artistic situations. Feltham examines the thinkers and theorists with whom Badiou has engaged and who have engaged with him, arguing that Badiou's work is compelling precisely because it opens up new genealogies and new polemics in the intellectual landscape. The book includes a brand new interview with Badiou, in which he discusses his current concerns and future plans. This is the ideal companion to study for students and readers encountering this fascinating thinker for the first time.




Briefings on Existence


Book Description

Explores the link between mathematics and ontology.




The True Life


Book Description

'I'm 79 years old. So why on earth should I concern myself with speaking about youth?' This is the question with which renowned French philosopher Alain Badiou begins his passionate plea to the young. Today young people, at least in the West, are on the brink of a new world. With the decline of old traditions, they now face more choices than ever before. Yet powerful forces are pushing them in dangerous directions, into the vortex of consumerism or into reactive forms of traditionalism. This is a time when young people must be particularly attentive to the signs of the new and have the courage to venture forth and find out what they're capable of, without being constrained by the old prejudices and hierarchical ideas of the past. And if the aim of philosophy is to corrupt youth, as Socrates was accused of doing, this can mean only one thing: to help young people see that they don't have to go down the paths already mapped out for them, that they are not just condemned to obey social customs, that they can create something new and propose a different direction as regards the true life.




Number and Numbers


Book Description

The political regime of global capitalism reduces the world to an endless network of numbers within numbers, but how many of us really understand what numbers are? Without such an understanding, how can we challenge the regime of number? In Number and Numbers Alain Badiou offers an philosophically penetrating account with a powerful political subtext of the attempts that have been made over the last century to define the special status of number. Badiou argues that number cannot be defined by the multiform calculative uses to which numbers are put, nor is it exhausted by the various species described by number theory. Drawing on the mathematical theory of surreal numbers, he develops a unified theory of Number as a particular form of being, an infinite expanse to which our access remains limited. This understanding of Number as being harbours important philosophical truths about the structure of the world in which we live. In Badiou's view, only by rigorously thinking through Number can philosophy offer us some hope of breaking through the dense and apparently impenetrable capitalist fabric of numerical relations. For this will finally allow us to point to that which cannot be numbered: the possibility of an event that would deliver us from our unthinking subordination of number.




Theory of the Subject


Book Description

Badiou is widely considered to be France's most important and exciting contemporary thinker. Much of Badiou's earlier work (including Being and Event) can only be fully understood with a clear grasp of Theory of the Subject, one of his most important works.




Badiou and Hegel


Book Description

Badiou and Hegel: Infinity, Dialectics, Subjectivity offers critical appraisals of two of the dominant figures of the Continental tradition of philosophy, Alain Badiou and G.W.F. Hegel. Jim Vernon and Antonio Calcagno bring together established and emerging authors in Continental philosophy to discuss the relationship between the thinkers, creating a multifarious collection of essays by Hegelians, Badiouans, and those sympathetic to both. The text privileges neither thinker, nor any particular topic shared between them; rather, this book lays a broad and sound foundation for future scholarship on arguably two of the greatest thinkers of infinity, universality, subjectivity, and the enduring value of philosophy in the modern Western canon. Assuredly overdue, this volume will attract Hegel and Badiou scholars, as well as those interested in post-structuralism, political philosophy, cultural studies, ontology, philosophy of mathematics, and psychoanalysis.