Mathematics, Ideas and the Physical Real

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Publisher : A&C Black
ISBN 13 : 1441146547
Total Pages : 354 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Mathematics, Ideas and the Physical Real by : Albert Lautman

Download or read book Mathematics, Ideas and the Physical Real written by Albert Lautman and published by A&C Black. This book was released on 2011-06-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Concept of Model

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Author :
Publisher : re.press
ISBN 13 : 0980666570
Total Pages : 182 pages
Book Rating : 4.9/5 (86 download)

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Book Synopsis The Concept of Model by : Alain Badiou

Download or read book The Concept of Model written by Alain Badiou and published by re.press. This book was released on 2007 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: In "The Concept of Model" Alain Badiou establishes a new logical 'concept of model'. Translated for the first time into English, the work is accompanied by an exclusive interview with Badiou in which he elaborates on the connections between his early and most recent work--for which the concept of model remains seminal.

Priority of Events

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Publisher : Edinburgh University Press
ISBN 13 : 0748650776
Total Pages : 304 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Priority of Events by : Sean Bowden

Download or read book Priority of Events written by Sean Bowden and published by Edinburgh University Press. This book was released on 2011-08-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a radical interpretation of Deleuze's Logic of Sense. It focuses on Deleuze's concept of events and brings Deleuze's work into relation with the traditions of process philosophy and American pragmatism.

Heidegger's Ontology of Events

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Publisher : Edinburgh University Press
ISBN 13 : 1474443702
Total Pages : 240 pages
Book Rating : 4.4/5 (744 download)

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Book Synopsis Heidegger's Ontology of Events by : James Bahoh

Download or read book Heidegger's Ontology of Events written by James Bahoh and published by Edinburgh University Press. This book was released on 2019-12-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: James Bahoh proposes a new methodology for explaining Heidegger's philosophy that solves a set of interpretive problems in his difficult later work and led to substantial inconsistencies in the scholarship. Bahoh reconstructs Heidegger's concept of event in relation to his theories of history, truth, difference, ground and time-space.

Perspectives on Organisms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642359388
Total Pages : 293 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Perspectives on Organisms by : Giuseppe Longo

Download or read book Perspectives on Organisms written by Giuseppe Longo and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field.

Collapse, Volume 3

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Publisher : MIT Press
ISBN 13 : 0956775055
Total Pages : 459 pages
Book Rating : 4.9/5 (567 download)

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Book Synopsis Collapse, Volume 3 by : Robin Mackay

Download or read book Collapse, Volume 3 written by Robin Mackay and published by MIT Press. This book was released on 2007-09-07 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explorations of Deleuze's work by pioneering thinkers from philosophy, aesthetics, music, and architecture. A collection of explorations of the work of Gilles Deleuze by pioneering thinkers in the fields of philosophy, aesthetics, music, and architecture. The volume also includes a previously untranslated early text by Deleuze and a short interview, along with a fascinating piece of vintage science fiction from one of his more obscure influences. The contributors to this volume aim to clarify, from a variety of perspectives, Deleuze's contribution to philosophy: in what does his philosophical originality lie; what does he appropriate from other philosophers and how does he transform it? And how can the apparently disparate threads of his work to be “integrated”—What is the precise nature of the constellation of the aesthetic, the conceptual and the political proposed by Gilles Deleuze, and what are the overarching problems in which the numerous philosophical concepts “signed Deleuze” converge? As an annex to the second volume of Collapse, this volume also include a full transcript of the workshop on “Speculative Realism” held in London in 2007.

Deleuze and the History of Mathematics

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Publisher : A&C Black
ISBN 13 : 1441129502
Total Pages : 225 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Deleuze and the History of Mathematics by : Simon Duffy

Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-07-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 are 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.

Diagrams and Gestures

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Publisher : Springer Nature
ISBN 13 : 3031291115
Total Pages : 443 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Diagrams and Gestures by : Francesco La Mantia

Download or read book Diagrams and Gestures written by Francesco La Mantia and published by Springer Nature. This book was released on 2023-09-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.

Surfaces

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Publisher : Routledge
ISBN 13 : 1317296524
Total Pages : 211 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Surfaces by : Mike Anusas

Download or read book Surfaces written by Mike Anusas and published by Routledge. This book was released on 2020-02-24 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: In attending to surfaces, as they wrap, layer and grow within sentient bodies, material formations and cosmological states, this volume presents a series of ten anthropological studies stretching across five continents and in observation of earthly practices of making, knowing, living and dying. Through theoretically reflecting on time spent with Aymara and Mapuche Andean cultures; the Malagasy people of Madagascar; craftspeople and designers across Europe and Oceania; amongst the architectures of Australia and South Korea and within the folds of books, screens, landscape and the sea, the anthropologists in this volume communicate diverse ways of considering, working with and knowing surfaces. Together, these writings advance a knowledge of the world which resists any definitive settlement of existential categories and rather seeks to know the world in its emergence and transformation, as entities grow, cohere, shift, dissolve, decay and are reborn through the contact and exchange of surfaces, persisting with varying time, power and effect. The book principally invites readers from anthropology, the creative arts and environmental studies, but also across the wider humanities and social sciences as well as those in neighbouring scientific fields of archaeology, biology, geography, geoscience, material science, neurology and psychology interested in the intersections of mind, body, materials and world.

The Philosophers and Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Poincaré, Philosopher of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9401787808
Total Pages : 195 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Poincaré, Philosopher of Science by : María de Paz

Download or read book Poincaré, Philosopher of Science written by María de Paz and published by Springer Science & Business Media. This book was released on 2014-04-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a selection of papers from the Poincaré Project of the Center for the Philosophy of Science, University of Lisbon, bringing together an international group of scholars with new assessments of Henri Poincaré's philosophy of science—both its historical impact on the foundations of science and mathematics, and its relevance to contemporary philosophical inquiry. The work of Poincaré (1854-1912) extends over many fields within mathematics and mathematical physics. But his scientific work was inseparable from his groundbreaking philosophical reflections, and the scientific ferment in which he participated was inseparable from the philosophical controversies in which he played a pre-eminent part. The subsequent history of the mathematical sciences was profoundly influenced by Poincaré’s philosophical analyses of the relations between and among mathematics, logic, and physics, and, more generally, the relations between formal structures and the world of experience. The papers in this collection illuminate Poincaré’s place within his own historical context as well as the implications of his work for ours.

Badiou and Philosophy

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Author :
Publisher : Edinburgh University Press
ISBN 13 : 0748643532
Total Pages : 288 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Badiou and Philosophy by : Sean Bowden

Download or read book Badiou and Philosophy written by Sean Bowden and published by Edinburgh University Press. This book was released on 2012-06-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reassessment of Alain Badiou's work since the English translation of his Logics of Worlds in 2009. From Cantor to category/topos theory, from Lacan to Lautman and from Sartre to the subject, these 13 essays engage directly with the work of Alain Badiou. They focus on the philosophical content of Badiou's work and show how he connects both with his contemporaries and his philosophical heritage. This is an important collection for anyone interested in the work of Badiou and contemporary Continental philosophy.

Postanalytic and Metacontinental

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Publisher : A&C Black
ISBN 13 : 0826424414
Total Pages : 267 pages
Book Rating : 4.8/5 (264 download)

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Book Synopsis Postanalytic and Metacontinental by : Jack Reynolds

Download or read book Postanalytic and Metacontinental written by Jack Reynolds and published by A&C Black. This book was released on 2010-06-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Synthetic Philosophy of Contemporary Mathematics

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Publisher : MIT Press
ISBN 13 : 1913029328
Total Pages : 394 pages
Book Rating : 4.9/5 (13 download)

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Book Synopsis Synthetic Philosophy of Contemporary Mathematics by : Fernando Zalamea

Download or read book Synthetic Philosophy of Contemporary Mathematics written by Fernando Zalamea and published by MIT Press. This book was released on 2012-09-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.

Reason Without Limits

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Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Reason Without Limits by : Knox McLaren Peden

Download or read book Reason Without Limits written by Knox McLaren Peden and published by . This book was released on 2009 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophy of Mathematics Education Today

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Author :
Publisher : Springer
ISBN 13 : 3319777602
Total Pages : 375 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Philosophy of Mathematics Education Today by : Paul Ernest

Download or read book The Philosophy of Mathematics Education Today written by Paul Ernest and published by Springer. This book was released on 2018-06-09 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Einstein vs. Bergson

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110753723
Total Pages : 498 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Einstein vs. Bergson by : Alessandra Campo

Download or read book Einstein vs. Bergson written by Alessandra Campo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time is derived by abstraction, even in the sense of extraction, from a more fundamental time. The plurality of times envisaged by the theory of Relativity does not, for him, contradict the philosophical intuition of the existence of a single time. But how do things stand today? What can we say about the relationship between the quantitative and qualitative dimensions of time in the light of contemporary science? What do quantum mechanics, biology and neuroscience teach us about the nature of time? The essays collected here take up the question that pitted Einstein against Bergson, science against philosophy, in an attempt to reverse the outcome of their monologue in two voices, with a multilogue in several voices.