Fractals of Brain, Fractals of Mind
Fractals of Brain, Fractals of Mind

Author: Earl Mac Cormac

Publisher: John Benjamins Publishing

Published: 1996-06-28

Total Pages: 371

ISBN-13: 902728489X

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This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of-chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the ‘margins’ of our capacity for phenomenal experience, are ‘fractal-limit phenomena’. Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)

The Fractal Brain Theory
The Fractal Brain Theory

Author: Wai Tsang

Publisher: Lulu.com

Published: 2016-08-02

Total Pages: 532

ISBN-13: 1326753223

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The Fractal Brain Theory, or the Symmetry, Self Similarity and Recursivity Theory of Brain and Mind, is a Revolutionary new way of looking at the nature of intelligence and also genomics. It is the key to a powerful and new kind of Recursively Self Modifying Artificial Intelligence. Wai H. Tsang presents an exciting new synthesis of all things psychological, linguistic, neuroscientific, genomic, evolutionary, informatic, computational, complex and fractal. Dealing with the most central puzzles of mind science and AI, and weaving in some of the most fundamental concepts in mathematics such as symmetry, geometry, functions, discrete maths and formal axiomatic systems. This book presents nothing less than a seamless unified theory of Brain, Mind, Artificial Intelligence, Functional Genomics, Ontogenesis and Evolution. Also covering topics such as the quest for the Perfect & Universal Language, Recursively Self Modifying Algorithms, Super Intelligence & Technological Singularity.

Fractals
Fractals

Author: Oliver Linton

Publisher: eBook Partnership

Published: 2021-05-20

Total Pages: 64

ISBN-13: 191270613X

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What are fractals? Why are they such fun? How do you make one? Why is a dripping tap not as random as it seems? What is chaos? Is the Mandelbrot Set really the most complex object in mathematics? In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals and chaos, diving into many kinds of self- similar structures to reveal some of the most recently discovered and intriguing patterns in science and nature. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.

The Fractal Geometry of the Brain
The Fractal Geometry of the Brain

Author: Antonio Di Ieva

Publisher: Springer

Published: 2016-08-03

Total Pages: 583

ISBN-13: 1493939955

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Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

A Fractal Epistemology for a Scientific Psychology
A Fractal Epistemology for a Scientific Psychology

Author: Terry Marks-Tarlow

Publisher: Cambridge Scholars Publishing

Published: 2020-01-06

Total Pages: 576

ISBN-13: 1527544931

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Fractal dynamics provide an unparalleled tool for understanding the evolution of natural complexity throughout physical, biological, and psychological realms. This book’s conceptual framework helps to reconcile several persistent dichotomies in the natural sciences, including mind-brain, linear-nonlinear, subjective-objective, and even personal-transpersonal processes. A fractal approach is especially useful when applied to recursive processes of consciousness, both within their ordinary and anomalous manifestations. This novel way to study the interconnection of seemingly divided wholes encompasses multiple dimensions of experience and being. It brings together experts in diverse fields—neuropsychologists, psychiatrists, physicists, physiologists, psychoanalysts, mathematicians, and professors of religion and music composition—to demonstrate the value of fractals as model, method, and metaphor within psychology and related social and physical sciences. The result is a new perspective for understanding what has often been dismissed as too subjective, idiosyncratic, and ineffably beyond the scope of science, bringing these areas back into a natural-scientific framework.

Psyche's Veil
Psyche's Veil

Author: Terry Marks-Tarlow

Publisher: Routledge

Published: 2013-12-16

Total Pages: 366

ISBN-13: 1317723651

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Historically, the language and concepts within clinical theory have been steeped in linear assumptions and reductionist thinking. Because the essence of psychotherapy involves change, Psyche’s Veil suggests that clinical practice is inherently a nonlinear affair. In this book Terry Marks-Tarlow provides therapists with new language, models and metaphors to narrow the divide between theory and practice, while bridging the gap between psychology and the sciences. By applying contemporary perspectives of chaos theory, complexity theory and fractal geometry to clinical practice, the author discards traditional conceptions of health based on ideals of regularity, set points and normative statistics in favour of models that emphasize unique moments, variability, and irregularity. Psyche’s Veil further explores philosophical and spiritual implications of contemporary science for psychotherapy. Written at the interface between artistic, scientific and spiritual aspects of therapy, Psyche’s Veil is a case-based book that aspires to a paradigm shift in how practitioners conceptualize critical ingredients for internal healing. Novel treatment of sophisticated psychoanalytical issues and tie-ins to interpersonal neurobiology make this book appeal to both the specialist practitioner, as well as the generalist reader. .

Fractal Sustainability
Fractal Sustainability

Author: Isabel Canto de Loura

Publisher: Taylor & Francis

Published: 2016-08-12

Total Pages: 147

ISBN-13: 1317133633

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Even though the fractal approach to sustainability and organizational change management is not new, no authors so far seem to have truly attempted to use fractals as a mathematical means to map and measure organizational sustainability. Several sustainability maturity models and change management models and frameworks, concepts and computer generated systems came to the fore during the past two decades. They provided a set of useful tools for managers, academics and students to refer to, or on which to base their own actions and plans. However, one issue remains: most of those models and frameworks share a rather similar linear ‘skeleton’; the main difference between them is the quantitative variety of steps within each phase, stage, and parameter and how in depth each of these is presented. The authors' work addresses a clear gap in the literature and in applied research, as it emphasizes the relevance of using a complex mathematically-based but user-friendly fractal approach. Readers are able to better understand, implement, map and measure change management processes leading to a sustainability-focused mindset. Subsequent chapters guide you through the steps towards creating committed sustainability-based strategies, attitudes, actions and practices across all levels in the broad organizational context. This text is essential reading for students researching business and management and who are interested in the Fractal Sustainability concept.

Ultimate Computing
Ultimate Computing

Author: S.R. Hameroff

Publisher: Elsevier

Published: 2014-04-11

Total Pages: 380

ISBN-13: 0444600094

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The possibility of direct interfacing between biological and technological information devices could result in a merger of mind and machine - Ultimate Computing. This book, a thorough consideration of this idea, involves a number of disciplines, including biochemistry, cognitive science, computer science, engineering, mathematics, microbiology, molecular biology, pharmacology, philosophy, physics, physiology, and psychology.

Fractal Shores
Fractal Shores

Author: Diane Louie

Publisher: University of Georgia Press

Published: 2020-10-15

Total Pages: 75

ISBN-13: 082035791X

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Carlo Rovelli, Italian physicist, says that "the world is not a collection of things, it is a collection of events." Poet Diane Louie thinks of prose poems as little events. They are happening and happenings. They draw on experience, image, metaphor, and all the properties of language to create little worlds-in-motion: spinning while orbiting, actively shifting our point of view. More genus than hybrid species, prose poems can straddle the obvious limits and less-obvious liberties of perception. This active characteristic of spanning and connecting is especially relevant in a time of cultural polarization. Marrying, even uneasily, the inquiries of science and spiritual longing can illuminate what they—and we—have in common: a desire to understand our presence in a universe that does not yield ultimate answers.

Fractal Physiology
Fractal Physiology

Author: James B Bassingthwaighte

Publisher: Springer

Published: 2013-05-27

Total Pages: 371

ISBN-13: 1461475724

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I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.