Mathematics and the Roots of Postmodern Thought

Mathematics and the Roots of Postmodern Thought PDF Author: Vladimir Tasic
Publisher: Oxford University Press
ISBN: 0195349954
Category : Mathematics
Languages : en
Pages : 200

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Book Description
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 PDF Author: Vladimir Tasic
Publisher: Oxford University Press
ISBN: 0195349954
Category : Mathematics
Languages : en
Pages : 200

Get Book Here

Book Description
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 PDF Author: Vladimir Tasic
Publisher: Oxford University Press
ISBN: 0199881510
Category : Mathematics
Languages : en
Pages : 200

Get Book Here

Book Description
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 PDF Author: Vladimir Tasić
Publisher: Oxford University Press, USA
ISBN: 0195139674
Category : Mathematics
Languages : en
Pages : 200

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Book Description
1. Introduction. 2. Around the Cartesian Circuit. 2.1. Imagination. 2.2. Intuition. 2.3. Counting to One. 3. Space Oddity and Linguistic Turn. 4. Wound of Language. 4.1. Being and Time Continuum. 4.2. Language and Will. 5. Beyond the Code. 5.1. Medium of Free Becoming. 5.2. Nonpresence of Identity. 6. The Expired Subject. 6.1. Empire of Signs. 6.2. Mechanical Bride. 7. The Vanishing Author. 8. Say Hello to the Structure Bubble. 8.1. Algebra of Language. 8.2. Functionalism Chic. 9. Don't Think, Look. 9.1. Interpolating the Self. 9.2. Language Games. 9.3. Thermostats "R" Us. 10. Postmo.

Postmodern Philosophy and the Scientific Turn

Postmodern Philosophy and the Scientific Turn PDF Author: Dorothea E. Olkowski
Publisher: Indiana University Press
ISBN: 0253001145
Category : Philosophy
Languages : en
Pages : 211

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Book Description
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.

Explaining Postmodernism

Explaining Postmodernism PDF Author: Stephen R. C. Hicks
Publisher: Scholargy Publishing, Inc.
ISBN: 9781592476428
Category : Philosophy
Languages : en
Pages : 250

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Book Description


Thinking about G”del and Turing

Thinking about G”del and Turing PDF Author: Gregory J. Chaitin
Publisher: World Scientific
ISBN: 9812708952
Category : Mathematics
Languages : en
Pages : 368

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Book Description
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê 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 G”del 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 G”del 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.

Meta Math!

Meta Math! PDF Author: Gregory Chaitin
Publisher: Vintage
ISBN: 1400077974
Category : Mathematics
Languages : en
Pages : 242

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Book Description
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.

The History of Reason in the Age of Madness

The History of Reason in the Age of Madness PDF Author: John Iliopoulos
Publisher: Bloomsbury Publishing
ISBN: 1474257771
Category : Philosophy
Languages : en
Pages : 306

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Book Description
The History of Reason in the Age of Madness revolves around three axes: the Foucauldian critical-historical method, its relationship with enlightenment critique, and the way this critique is implemented in Foucault's seminal work, History of Madness. Foucault's exploration of the origins of psychiatry applies his own theories of power, truth and reason and draws on Kant's philosophy, shedding new light on the way we perceive the birth and development of psychiatric practice. Following Foucault's adoption of 'limit attitude', which investigates the limits of our thinking as points of disruption and renewal of established frames of reference, this book dispels the widely accepted belief that psychiatry represents the triumph of rationalism by somehow conquering madness and turning it into an object of neutral, scientific perception. It examines the birth of psychiatry in its full complexity: in the late eighteenth century, doctors were not simply rationalists but also alienists, philosophers of finitude who recognized madness as an experience at the limits of reason, introducing a discourse which conditioned the formation of psychiatry as a type of medical activity. Since that event, the same type of recognition, the same anthropological confrontation with madness has persisted beneath the calm development of psychiatric rationality, undermining the supposed linearity, absolute authority and steady progress of psychiatric positivism. Iliopoulos argues that Foucault's critique foregrounds this anthropological problematic as indispensable for psychiatry, encouraging psychiatrists to become aware of the epistemological limitations of their practice, and also to review the ethical and political issues which madness introduces into the apparent neutrality of current psychiatric discourse.

The Logic of Information

The Logic of Information PDF Author: Luciano Floridi
Publisher: Oxford University Press
ISBN: 0192570269
Category : Philosophy
Languages : en
Pages : 263

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Book Description
Luciano Floridi presents an innovative approach to philosophy, conceived as conceptual design. He explores how we make, transform, refine, and improve the objects of our knowledge. His starting point is that reality provides the data, to be understood as constraining affordances, and we transform them into information, like semantic engines. Such transformation or repurposing is not equivalent to portraying, or picturing, or photographing, or photocopying anything. It is more like cooking: the dish does not represent the ingredients, it uses them to make something else out of them, yet the reality of the dish and its properties hugely depend on the reality and the properties of the ingredients. Models are not representations understood as pictures, but interpretations understood as data elaborations, of systems. Thus, Luciano Floridi articulates and defends the thesis that knowledge is design and philosophy is the ultimate form of conceptual design. Although entirely independent of Floridi's previous books, The Philosophy of Information (OUP 2011) and The Ethics of Information (OUP 2013), The Logic of Information both complements the existing volumes and presents new work on the foundations of the philosophy of information.

Deleuze, Bergson, Merleau-Ponty

Deleuze, Bergson, Merleau-Ponty PDF Author: Dorothea E. Olkowski
Publisher: Indiana University Press
ISBN: 0253054702
Category : Philosophy
Languages : en
Pages : 180

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Book Description
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.