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This book presents a set theoretical approach to sociological research. It revisits existing sociological approaches and discusses their limitations, before suggesting an alternative. While the existing canonical approaches of Positivism, Conflictualism, and Pragmatism are based on biology, history, and physics, respectively, the set theoretical approach is based on mathematics. Utilising its philosophical exploration delineated by Alain Badiou, the book further translates his work into the field of social science. The result of this translation is termed Multiplitism, which evades the limiting contradictions of existing approaches. Drawing on the mathematical notion of ‘set’ and relating it to recent sociological turns such as the relational and the ontological, the book proposes a scale-relativity through which the researcher (as subject) and the researched (as object) are integrated. The book will be of interest to social scientists, particularly social theorists and advanced level students.
Philosophical considerations, which are often ignored or treated casually, are given careful consideration in this introduction. Thomas Forster places the notion of inductively defined sets (recursive datatypes) at the center of his exposition resulting in an original analysis of well established topics. The presentation illustrates difficult points and includes many exercises. Little previous knowledge of logic is required and only a knowledge of standard undergraduate mathematics is assumed.
"Deploying the work of Badiou and Greimas, Bar-El advances a new approach to the reconciliation of objective and subjective orientations in social scientific enquiry. This is an important contribution to the resolution of an ongoing problem." - Derek Robbins, Emeritus Professor, University of East London, UK and author of The Bourdieu Paradigm (2019). "Multiplitism is an important intervention into contemporary sociological theory. I see it as contributing to the development of a new paradigm. We will need to see more scholarship in this area -- scholarship that opens sociology up to other perspectives such as this one -- in the coming years if sociology is to remain relevant." --Duane Rousselle, Professor, School of Advanced Studies, University of Tyumen, Russia This book presents a set theoretical approach to sociological research. It revisits existing sociological approaches and discusses their limitations, before suggesting an alternative. While the existing canonical approaches of Positivism, Conflictualism, and Pragmatism are based on biology, history, and physics, respectively, the set theoretical approach is based on mathematics. Utilising its philosophical exploration delineated by Alain Badiou, the book further translates his work into the field of social science. The result of this translation is termed Multiplitism, which evades the limiting contradictions of existing approaches. Drawing on the mathematical notion of 'set' and relating it to recent sociological turns such as the relational and the ontological, the book proposes a scale-relativity through which the researcher (as subject) and the researched (as object) are integrated. The book will be of interest to social scientists, particularly social theorists and advanced level students. Eliran Bar-El is a sociologist of knowledge based at the University of Cambridge where he recently completed his PhD.
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.
Explores the link between mathematics and ontology.
Philosophers working within the pragmatist tradition have pictured their relation to Kant and Kantianism in very diverse terms: some have presented their work as an appropriation and development of Kantian ideas, some have argued that pragmatism is an approach in complete opposition to Kant. This collection investigates the relationship between pragmatism, Kant, and current Kantian approaches to transcendental arguments in a detailed and original way. Chapters highlight pragmatist aspects of Kant’s thought and trace the influence of Kant on the work of pragmatists and neo-pragmatists, engaging with the work of Peirce, James, Lewis, Sellars, Rorty, and Brandom, among others. They also consider to what extent contemporary approaches to transcendental arguments are compatible with a pragmatist standpoint. The book includes contributions from renowned authors working on Kant, pragmatism and contemporary Kantian approaches to philosophy, and provides an authoritative and original perspective on the relationship between pragmatism and Kantianism.
This original and challenging book presents a radical revision of traditional assessments of Hegel. Gillian Rose argues that the classical origins of contemporary non-Marxist and Marxist sociology rest on the 'neo-Kantian' paradigm and that Hegel's thought anticipates and criticises the limitations of this paradigm and the problems of methodologism and moralism in sociological method. Hegel's major mature works are expounded in the light of his early radical writings. From this unusual perspective Dr Rose shows that Hegel's speculative discourse is a powerful critique of bourgeois property relations and law, or art and religion as misrepresentation and of the inversions and end of culture. The book concludes with a discussion of the end of philosophy, the repetition of sociology and the culture and fate of Marxism.
Alain Badiou is arguably the most original and influential philosopher working in France today. Working against the tide of postmodern orthodoxy, Badiou revitalizes philosophy's perennial attempt to provide a systematic theory of truth. Theoretical Writings presents, in Badiou's own words, 'the theoretical core of [his] Philosophy'. Beginning with the controversial assertion that ontology is mathematics, the chapters step the reader through his key concepts of being, subject and truth via startling re-readings of canonical figures including Spinoza, Kant and Hegel and engagements with poetry, psychoanalysis and radical politics. Theoretical Writings is an indispensable introduction to one of the great thinkers of our time.
Analysing the work of Schutz, Gurwitsch, Merleau-Ponty and Bourdieu, this book considers the historical development of competing philosophies of social science. It examines the relations between phenomenology, Gestalt psychology and empirical social science in the first half of the twentieth century and then explores the way in which Bourdieu responded to this legacy by advocating a form of reflexive social-scientific investigation, which would remain faithful to primary experience without disowning accumulated intellectualism. The book asks whether the Bourdieu 'paradigm' retains value beyond the French conditions of its production. It offers an analysis of the development of Bourdieu's thought and practice which constitutes an invitation to readers generally to reassess the value of the western tradition of the social function of the detached intellectual for mass democratic societies. --From publisher's website.