A Philosophical Analysis of Chaos Theory

A Philosophical Analysis of Chaos Theory PDF Author: Lena C. Zuchowski
Publisher: Springer
ISBN: 3319546635
Category : Science
Languages : en
Pages : 149

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Book Description
This book provides an analysis of the construction, diagnosis (as chaotic) and evaluation of models in chaos theory. It contains a detailed look at the interaction of the different models used in chaos theory and analyses how these models influence the way chaos is defined. Furthermore, the book discusses the conditions for the occurrence of chaos and the detection of chaos in nature.

A Philosophical Analysis of Chaos Theory

A Philosophical Analysis of Chaos Theory PDF Author: Lena C. Zuchowski
Publisher: Springer
ISBN: 3319546635
Category : Science
Languages : en
Pages : 149

Get Book Here

Book Description
This book provides an analysis of the construction, diagnosis (as chaotic) and evaluation of models in chaos theory. It contains a detailed look at the interaction of the different models used in chaos theory and analyses how these models influence the way chaos is defined. Furthermore, the book discusses the conditions for the occurrence of chaos and the detection of chaos in nature.

Chaos

Chaos PDF Author: Leonard Smith
Publisher: Oxford University Press, USA
ISBN: 0192853783
Category : Mathematics
Languages : en
Pages : 201

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Book Description
Chaos exists in systems all around us. This introduction draws in philosophy, literature, and maths to explain Chaos Theory, showing the variety of its applications in the real world, from technology to global warming, politics, and even gambling on the stock market.

Reason in Revolt

Reason in Revolt PDF Author: Alan Woods
Publisher: Wellred Books
ISBN: 1900007568
Category : Philosophy
Languages : en
Pages : 557

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Book Description
The achievements of science and technology during the past century are unparalleled in history. They provide the potential for the solution to all the problems faced by the planet, and equally for its total destruction. Allegedly scientific theories are being used to "prove" that criminality is caused, not by social conditions, but by a "criminal gene". Black people are alleged to be disadvantaged, not because of discrimination, but because of their genetic make-up. Of course, such "science" is highly convenient to right-wing politicians intent on ruthlessly cutting welfare. In the field of theoretical physics and cosmology there is a growing tendency towards mysticism. The "Big Bang" theory of the origin of the universe is being used to justify the existence of a Creator, as in the book of Genesis . For the first time in centuries, science appears to lend credence to religious obscurantism. Yet this is only one side of the story.

Borrowed Knowledge

Borrowed Knowledge PDF Author: Stephen H. Kellert
Publisher: University of Chicago Press
ISBN: 0226429806
Category : Science
Languages : en
Pages : 303

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Book Description
What happens to scientific knowledge when researchers outside the natural sciences bring elements of the latest trend across disciplinary boundaries for their own purposes? Researchers in fields from anthropology to family therapy and traffic planning employ the concepts, methods, and results of chaos theory to harness the disciplinary prestige of the natural sciences, to motivate methodological change or conceptual reorganization within their home discipline, and to justify public policies and aesthetic judgments. Using the recent explosion in the use (and abuse) of chaos theory, Borrowed Knowledge and the Challenge of Learning across Disciplines examines the relationship between science and other disciplines as well as the place of scientific knowledge within our broader culture. Stephen H. Kellert’s detailed investigation of the myriad uses of chaos theory reveals serious problems that can arise in the interchange between science and other knowledge-making pursuits, as well as opportunities for constructive interchange. By engaging with recent debates about interdisciplinary research, Kellert contributes a theoretical vocabulary and a set of critical frameworks for the rigorous examination of borrowing.

Philosophy at the Edge of Chaos

Philosophy at the Edge of Chaos PDF Author: Jeffrey A. Bell
Publisher: University of Toronto Press
ISBN: 0802094090
Category : Philosophy
Languages : en
Pages : 305

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Book Description
From the early 1960s until his death, French philosopher Gilles Deleuze (1925-1995) wrote many influential works on philosophy, literature, film, and fine art. One of Deleuze's main philosophical projects was a systematic inversion of the traditional relationship between identity and difference. This Deleuzian philosophy of difference is the subject of Jeffrey A. Bell's Philosophy at the Edge of Chaos. Bell argues that Deleuze's efforts to develop a philosophy of difference are best understood by exploring both Deleuze's claim to be a Spinozist, and Nietzsche's claim to have found in Spinoza an important precursor. Beginning with an analysis of these claims, Bell shows how Deleuze extends and transforms concepts at work in Spinoza and Nietzsche to produce a philosophy of difference that promotes and, in fact, exemplifies the notions of dynamic systems and complexity theory. With these concepts at work, Deleuze constructs a philosophical approach that avoids many of the difficulties that linger in other attempts to think about difference. Bell uses close readings of Plato, Aristotle, Spinoza, Nietzsche, Heidegger, Derrida, and Whitehead to illustrate how Deleuze's philosophy is successful in this regard and to demonstrate the importance of the historical tradition for Deleuze. Far from being a philosopher who turns his back on what is taken to be a mistaken metaphysical tradition, Bell argues that Deleuze is best understood as a thinker who endeavoured to continue the work of traditional metaphysics and philosophy.

Chaos Theory Tamed

Chaos Theory Tamed PDF Author: Garnett Williams
Publisher: CRC Press
ISBN: 1482295415
Category : Mathematics
Languages : en
Pages : 518

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Book Description
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.

In the Wake of Chaos

In the Wake of Chaos PDF Author: Stephen H. Kellert
Publisher: University of Chicago Press
ISBN: 0226429768
Category : Science
Languages : en
Pages : 190

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Book Description
Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.

Chaos

Chaos PDF Author: Kathleen Alligood
Publisher: Springer
ISBN: 3642592813
Category : Mathematics
Languages : en
Pages : 620

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Book Description
BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.

Chaos, Complexity, and Sociology

Chaos, Complexity, and Sociology PDF Author: Raymond A. Eve
Publisher: SAGE
ISBN: 9780761908906
Category : Computers
Languages : en
Pages : 364

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Book Description
Provides a collection of articles which examine the emerging myths and theories surrounding the study of chaos and complexity. Useful to sociologists and others interested in chaos and complexity theory, this title focuses on methodological matters, and also presents conceptual models and applications.

The Chaos Avant-garde

The Chaos Avant-garde PDF Author: Ralph Abraham
Publisher: World Scientific
ISBN: 9789812386472
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time OCo two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler. Contents: On How I Got Started in Dynamical Systems 1959OCo1962 (S Smale); Finding a Horseshoe on the Beaches of Rio (S Smale); Strange Attractors and the Origin of Chaos (Y Ueda); My Encounter with Chaos (Y Ueda); Reflections on the Origin of the Broken-Egg Chaotic Attractor (Y Ueda); The Chaos Revolution: A Personal View (R Abraham); The Butterfly Effect (E Lorenz); I Gumowski and a Toulouse Research Group in the OC PrehistoricOCO Times of Chaotic Dynamics (C Mira); The Turbulence Paper of D Ruelle & F Takens (F Takens); Exploring Chaos on an Interval (T Y Li & J A Yorke); Chaos, Hyperchaos and the Double-Perspective (O E RAssler). Readership: Educators and university students of science and mathematics."