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Fractals of Brain, Fractals of Mind

Fractals of Brain, Fractals of Mind
Author: Earl Mac Cormac
Publisher: John Benjamins Publishing
Total Pages: 371
Release: 1996-06-28
Genre: Psychology
ISBN: 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
Total Pages: 532
Release: 2016-08-02
Genre:
ISBN: 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 of Brain, Fractals of Mind

Fractals of Brain, Fractals of Mind
Author: Earl R. Mac Cormac
Publisher: John Benjamins Publishing
Total Pages: 378
Release: 1996
Genre: Medical
ISBN: 1556191871

Download Fractals of Brain, Fractals of Mind Book in PDF, ePub and Kindle

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 Geometry of the Brain

The Fractal Geometry of the Brain
Author: Antonio Di Ieva
Publisher: Springer
Total Pages: 583
Release: 2016-08-03
Genre: Medical
ISBN: 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.


The Fractal Geometry of the Brain

The Fractal Geometry of the Brain
Author: Antonio Di Ieva
Publisher: Springer
Total Pages: 0
Release: 2024-01-16
Genre: Medical
ISBN: 9783031476051

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The new edition of the highly popular, The Fractal Geometry of the Brain, reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. It brings an understanding of fractals to clinicians and researchers even if they do not have a mathematical background, and it serves as a valuable tool for teaching the translational applications of computational fractal-based models to both students and scholars. As a consequence of the novel research developed at Professor Di Ieva's laboratory and other centers around the world, the second edition will explore the use of computational fractal-based analysis in many clinical disciplines and different fields of research, including neurology and neurosurgery, neuroanatomy and psychology, magnetoencephalography (MEG), eye-tracking devices (for the fractal computational characterization of “scanpaths”), deep learning in image analysis, radiomics for the characterization of brain MRIs, characterization of neuropsychological and psychiatric diseases and traits, signal complexity analysis in time series, and functional MRI, amongst others.


A Fractal Epistemology for a Scientific Psychology

A Fractal Epistemology for a Scientific Psychology
Author: Terry Marks-Tarlow
Publisher: Cambridge Scholars Publishing
Total Pages: 576
Release: 2020-01-06
Genre: Psychology
ISBN: 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.


Chaos and Fractals

Chaos and Fractals
Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
Total Pages: 1013
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475747403

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For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.


Fractal Sustainability

Fractal Sustainability
Author: Isabel Canto de Loura
Publisher: Taylor & Francis
Total Pages: 147
Release: 2016-08-12
Genre: Business & Economics
ISBN: 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
Total Pages: 380
Release: 2014-04-11
Genre: Computers
ISBN: 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
Total Pages: 75
Release: 2020-10-15
Genre: Poetry
ISBN: 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.