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Mathematics and the Roots of Postmodern Thought

Mathematics and the Roots of Postmodern Thought
Author: Vladimir Tasic
Publisher: Oxford University Press
Total Pages: 200
Release: 2001-08-30
Genre: Mathematics
ISBN: 0199881510

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This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.


Mathematics and the Roots of Postmodern Thought

Mathematics and the Roots of Postmodern Thought
Author: Vladimir Tasić
Publisher:
Total Pages: 0
Release: 2023
Genre: Mathematics
ISBN: 9780197727249

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Tasić traces the roots of postmodern theory to a debate on the foundations of mathematics, early in the 20th century. He compares developments in mathematics with what took place in the arts and humanities.


Mathematics and the Roots of Postmodern Thought

Mathematics and the Roots of Postmodern Thought
Author: Vladimir Tasic
Publisher: Oxford University Press
Total Pages: 200
Release: 2001-08-30
Genre: Mathematics
ISBN: 0195349954

Download Mathematics and the Roots of Postmodern Thought Book in PDF, ePub and Kindle

This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.


Postmodern Philosophy and the Scientific Turn

Postmodern Philosophy and the Scientific Turn
Author: Dorothea E. Olkowski
Publisher: Indiana University Press
Total Pages: 211
Release: 2012-04-23
Genre: Philosophy
ISBN: 0253001145

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A groundbreaking, interdisciplinary approach to the study of consciousness: “Beautifully written, engaging throughout, and captivating” (Claire Colebrook, The Pennsylvania State University). What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that mathematics itself—the historic link between science and philosophy—plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its usage and expression of worldview, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world.


Mathematics and Logic in History and in Contemporary Thought

Mathematics and Logic in History and in Contemporary Thought
Author: Ettore Carruccio
Publisher: Routledge
Total Pages: 400
Release: 2017-09-29
Genre: Mathematics
ISBN: 1351506617

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This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.


Deleuze, Bergson, Merleau-Ponty

Deleuze, Bergson, Merleau-Ponty
Author: Dorothea E. Olkowski
Publisher: Indiana University Press
Total Pages: 169
Release: 2021-09-07
Genre: Philosophy
ISBN: 0253054729

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Deleuze, Bergson, Merleau-Ponty: The Logic and Pragmatics of Creation, Affective Life, and Perception offers the only full-length examination of the relationships between Deleuze, Bergson and Merleau-Ponty. Henri Bergson (1859–1941), Maurice Merleau-Ponty (1908-1961), and Gilles Deleuze (1925–1995) succeeded one another as leading voices in French philosophy over a span of 136 years. Their relationship to one another's work involved far more than their overlapping lifetimes. Bergson became both the source of philosophical insight and a focus of criticism for Merleau-Ponty and Deleuze. Deleuze criticized Merleau-Ponty's phenomenology as well as his interest in cognitive and natural science. Author Dorothea Olkowski points out that each of these philosophers situated their thought in relation to their understandings of crucial developments and theories taken up in the history and philosophy of science, and this has been difficult for Continental philosophy to grasp. She articulates the differences between these philosophers with respect to their disparate approaches to the physical sciences and with how their views of science function in relation to their larger philosophical projects. In Deleuze, Bergson, Merleau-Ponty, Olkowski examines the critical areas of the structure of time and memory, the structure of consciousness, and the question of humans' relation to nature. She reveals that these philosophers are working from inside one another's ideas and are making strong claims about time, consciousness, reality, and their effects on humanity that converge and diverge. The result is a clearer picture of the intertwined workings of Continental philosophy and its fundamental engagement with the sciences.


Ideas at the Intersection of Mathematics, Philosophy, and Theology

Ideas at the Intersection of Mathematics, Philosophy, and Theology
Author: Carlos R. Bovell
Publisher: Wipf and Stock Publishers
Total Pages: 143
Release: 2012-09-17
Genre: Philosophy
ISBN: 1608999734

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How do mathematics, philosophy, and theology intersect? In Ideas at the Intersection of Mathematics, Philosophy, and Theology, Carlos Bovell proposes a wide range of possibilities. In a series of eleven thought-provoking essays, the author explores such topics as the place of mathematics in the work of Husserl and Heidegger, the importance of infinity for the Christian conception of God, and the impact of Gšdel's Theorem on the Westminster Confession of Faith. This book will appeal to readers with backgrounds in mathematics, philosophy, and theology and can be used in core, interdisciplinary modules that contain a math component.


Thinking about Godel and Turing

Thinking about Godel and Turing
Author: Gregory J. Chaitin
Publisher: World Scientific
Total Pages: 368
Release: 2007
Genre: Computers
ISBN: 9812708979

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Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as GAdel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of GAdel and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity."