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Mathematics And The Roots Of Postmodern Thought
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Book Synopsis Mathematics and the Roots of Postmodern Thought by : Vladimir Tasic
Download or read book Mathematics and the Roots of Postmodern Thought written by Vladimir Tasic and published by Oxford University Press. This book was released on 2001-08-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics and the Roots of Postmodern Thought by : Vladimir Tasic
Download or read book Mathematics and the Roots of Postmodern Thought written by Vladimir Tasic and published by Oxford University Press. This book was released on 2001-08-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Postmodern Philosophy and the Scientific Turn by : Dorothea E. Olkowski
Download or read book Postmodern Philosophy and the Scientific Turn written by Dorothea E. Olkowski and published by Indiana University Press. This book was released on 2012-04-23 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics in Postmodern American Fiction by : Stuart J. Taylor
Download or read book Mathematics in Postmodern American Fiction written by Stuart J. Taylor and published by Springer Nature. This book was released on with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deleuze, Bergson, Merleau-Ponty by : Dorothea E. Olkowski
Download or read book Deleuze, Bergson, Merleau-Ponty written by Dorothea E. Olkowski and published by Indiana University Press. This book was released on 2021-09-07 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Ideas at the Intersection of Mathematics, Philosophy, and Theology by : Carlos R. Bovell
Download or read book Ideas at the Intersection of Mathematics, Philosophy, and Theology written by Carlos R. Bovell and published by Wipf and Stock Publishers. This book was released on 2012-09-17 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Thinking about Godel and Turing by : Gregory J. Chaitin
Download or read book Thinking about Godel and Turing written by Gregory J. Chaitin and published by World Scientific. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis Thinking About Godel And Turing: Essays On Complexity, 1970–2007 by : Gregory J Chaitin
Download or read book Thinking About Godel And Turing: Essays On Complexity, 1970–2007 written by Gregory J Chaitin and published by World Scientific. This book was released on 2007-08-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable Ω 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 Gödel 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 Gödel 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.
Book Synopsis The Map and the Territory by : Shyam Wuppuluri
Download or read book The Map and the Territory written by Shyam Wuppuluri and published by Springer. This book was released on 2018-02-13 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents essays by pioneering thinkers including Tyler Burge, Gregory Chaitin, Daniel Dennett, Barry Mazur, Nicholas Humphrey, John Searle and Ian Stewart. Together they illuminate the Map/Territory Distinction that underlies at the foundation of the scientific method, thought and the very reality itself. It is imperative to distinguish Map from the Territory while analyzing any subject but we often mistake map for the territory. Meaning for the Reference. Computational tool for what it computes. Representations are handy and tempting that we often end up committing the category error of over-marrying the representation with what is represented, so much so that the distinction between the former and the latter is lost. This error that has its roots in the pedagogy often generates a plethora of paradoxes/confusions which hinder the proper understanding of the subject. What are wave functions? Fields? Forces? Numbers? Sets? Classes? Operators? Functions? Alphabets and Sentences? Are they a part of our map (theory/representation)? Or do they actually belong to the territory (Reality)? Researcher, like a cartographer, clothes (or creates?) the reality by stitching multitudes of maps that simultaneously co-exist. A simple apple, for example, can be analyzed from several viewpoints beginning with evolution and biology, all the way down its microscopic quantum mechanical components. Is there a reality (or a real apple) out there apart from these maps? How do these various maps interact/intermingle with each other to produce a coherent reality that we interact with? Or do they not? Does our brain uses its own internal maps to facilitate “physicist/mathematician” in us to construct the maps about the external territories in turn? If so, what is the nature of these internal maps? Are there meta-maps? Evolution definitely fences our perception and thereby our ability to construct maps, revealing to us only those aspects beneficial for our survival. But the question is, to what extent? Is there a way out of the metaphorical Platonic cave erected around us by the nature? While “Map is not the territory” as Alfred Korzybski remarked, join us in this journey to know more, while we inquire on the nature and the reality of the maps which try to map the reality out there. The book also includes a foreword by Sir Roger Penrose and an afterword by Dagfinn Follesdal.
Book Synopsis PlaneTalk Collected Writings 2013-2014 by : Donald J. DeGracia
Download or read book PlaneTalk Collected Writings 2013-2014 written by Donald J. DeGracia and published by Lulu.com. This book was released on 2014-11-10 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fair warning is given to the materialists and physicalists who think we are nothing more than our brain and body. DeGracia throws down the gauntlet and offers substantial challenges to such shallow and naive views in this provocative set of essays. This collection consists of PlaneTalk blogs from 2013 and 2014, covering a variety of topics about this and the other worlds. The Möbius geometry that lets us move amongst the planes is discussed, as are the ten types of samadhi described by Patanjali in the Yoga Sutras. Read about Wilder Penfield the dualist neurosurgeon, and what he says about where consciousness begins and ends in the brain. A Toy Model of Epistemology is developed based on Chaitin's ideas in algorithmic information theory. Leibniz' monads and Richard Feynman's philosophies are discussed, and so much more. There's bound to be something here for everyone interested in the links between our physical and nonphysical existence.
Book Synopsis Mathematics as Metaphor by : I͡U. I. Manin
Download or read book Mathematics as Metaphor written by I͡U. I. Manin and published by American Mathematical Soc.. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.
Book Synopsis Unpacking Pedagogy by : Margaret Walshaw
Download or read book Unpacking Pedagogy written by Margaret Walshaw and published by IAP. This book was released on 2010-03-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents a serious attempt to understand what it is that structures the pedagogical experience. In that attempt there are two main objectives. One is a theoretical interest that involves examining the issue of the subjectivity of the teacher and exploring how intersubjective negotiations shape the production of classroom practice. A second objective is to apply these understandings to the production of mathematical knowledge and to the construction of identities in actual mathematics classrooms. To that end book contains substantial essays that draw on postmodern philosophies of the social to explore theory's relationship with the practice of mathematics pedagogy. Unpacking Pedagogy takes new ideas seriously and engages readers in theory development. Groundbreaking in content, the book investigates how our thinking about classroom practice in general, and mathematics teaching (and learning), in particular, might be transformed. As a key resource for interrogating and understanding classroom life, the book's sophisticated analyses allow readers to build new knowledge about mathematics pedagogy. In turn, that new knowledge will provide them with the tools to engage more actively in educational criticism and to play a role in educational change.
Book Synopsis The Praxis of Alain Badiou by : Paul Ashton
Download or read book The Praxis of Alain Badiou written by Paul Ashton and published by re.press. This book was released on 2006 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To mark the English translation of Etre et l'événement as Being and event, ... a special issue on the work of the philosopher Alain Badiou ... [encouraging] contributors to take up the challenge Badiou raises in Being and event ... and deploy his categories in thinking a particular situation - be it political, artistic, scientific or amorous."--Ch. 1.
Book Synopsis Explaining Postmodernism by : Stephen R. C. Hicks
Download or read book Explaining Postmodernism written by Stephen R. C. Hicks and published by Scholargy Publishing, Inc.. This book was released on 2004 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Meta Math! written by Gregory Chaitin and published by Vintage. This book was released on 2006-11-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.
Book Synopsis Essays on the Foundations of Mathematics and Logic by : Giandomenico Sica
Download or read book Essays on the Foundations of Mathematics and Logic written by Giandomenico Sica and published by Polimetrica s.a.s.. This book was released on 2005 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
