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Mathematical Structures Of Natural Intelligence


Mathematical Structures Of Natural Intelligence
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Mathematical Structures Of Natural Intelligence


Mathematical Structures Of Natural Intelligence
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Author : Yair Neuman
language : en
Publisher: Springer
Release Date : 2017-12-01

Mathematical Structures Of Natural Intelligence written by Yair Neuman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-01 with Mathematics categories.


This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explores various topics and questions, such as the human representation of the number system, why our counting ability is different from that which is evident among non-human organisms, and why the idea of zero is so difficult to grasp. The book is organized into three parts: the first introduces the general reason for studying general structures underlying the human mind; the second part introduces category theory as a modeling language and use it for exposing the deep and fascinating structures underlying human cognition; and the third applies the general principles and ideas of the first two parts to reaching a better understanding of challenging aspects of the human mind such as our understanding of the number system, the metaphorical nature of our thinking and the logic of our unconscious dynamics.



Self Organizing Natural Intelligence


Self Organizing Natural Intelligence
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Author : Myrna Estep
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-26

Self Organizing Natural Intelligence written by Myrna Estep and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-26 with Psychology categories.


This book brings new scientific methods to intelligence research that is still under the influence of 19th century single causal theory and method. The author describes a rigorous and exhaustive classification of natural intelligence while demonstrating a more adequate scientific and mathematical approach than current statistical and psychometric approaches construct to shore up the out-dated and misused IQ hypothetical. The author demonstrates the superiority of a highly developed multidisciplinary-theory models view of intelligence.



Mathematical Constructs In Nature


Mathematical Constructs In Nature
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Author : Ian Beardsley
language : en
Publisher:
Release Date : 2021-09-02

Mathematical Constructs In Nature written by Ian Beardsley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-02 with Mathematics categories.


I am finding mathematical connections between artificial intelligence and biological life and presenting them as mathematical constructs. Of course if the structures of such elements are mathematical they can be thought of as tensors making them invariant under transformation and thus Natural Law. However I then proceed to to show what this mathematical structure is in terms of the modeling of such materials with quantum chemistry to explain it. The QM result seems to make sense intuitively but much work remains to be done. The proposition is speculative but compelling.



Artificial Mathematical Intelligence


Artificial Mathematical Intelligence
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Author : Danny A. J. Gómez Ramírez
language : en
Publisher: Springer Nature
Release Date : 2020-10-23

Artificial Mathematical Intelligence written by Danny A. J. Gómez Ramírez and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.


This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics’ program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.



Cognitive Informatics For Revealing Human Cognition Knowledge Manipulations In Natural Intelligence


Cognitive Informatics For Revealing Human Cognition Knowledge Manipulations In Natural Intelligence
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Author : Wang, Yingxu
language : en
Publisher: IGI Global
Release Date : 2012-11-30

Cognitive Informatics For Revealing Human Cognition Knowledge Manipulations In Natural Intelligence written by Wang, Yingxu and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Science categories.


"This book presents indepth research that builds a link between natural and life sciences with informatics and computer science for investigating cognitive mechanisms and the human information processes"--



The Mathematical Nature Of Ai And Life


The Mathematical Nature Of Ai And Life
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Author : Ian Beardsley
language : en
Publisher:
Release Date : 2021-08-07

The Mathematical Nature Of Ai And Life written by Ian Beardsley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-07 with categories.


I am finding mathematical connections between artificial intelligence and biological life and presenting them as mathematical constructs. Of course if the structures of such elements are mathematical they can be thought of as tensors making them invariant under transformation and thus Natural Law. However I then proceed to to show what this mathematical structure is in terms of the modeling of such materials with quantum chemistry to explain it. The QM result seems to make sense intuitively but much work remains to be done. The proposition is speculative but compelling.



Developments In Natural Intelligence Research And Knowledge Engineering Advancing Applications


Developments In Natural Intelligence Research And Knowledge Engineering Advancing Applications
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Author : Wang, Yingxu
language : en
Publisher: IGI Global
Release Date : 2012-06-30

Developments In Natural Intelligence Research And Knowledge Engineering Advancing Applications written by Wang, Yingxu and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Computers categories.


"This book covers the intricate worlds of thought, comprehension, intelligence, and knowledge through the scientific field of Cognitive Science, covering topics that have been pivotal at major conferences covering Cognitive Science"--Provided by publisher.



Discoveries And Breakthroughs In Cognitive Informatics And Natural Intelligence


Discoveries And Breakthroughs In Cognitive Informatics And Natural Intelligence
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Author : Wang, Yingxu
language : en
Publisher: IGI Global
Release Date : 2009-11-30

Discoveries And Breakthroughs In Cognitive Informatics And Natural Intelligence written by Wang, Yingxu and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-30 with Education categories.


Cognitive informatics is a multidisciplinary field that acts as the bridge between natural science and information science. Specifically, it investigates the potential applications of information processing and natural intelligence to science and engineering disciplines. This collection, entitled Discoveries and Breakthroughs in Cognitive Informatics and Natural Intelligence, provides emerging research topics in cognitive informatics research with a focus on such topics as reducing cognitive overload, real-time process algebra, and neural networks for iris recognition, emotion recognition in speech, and the classification of musical chords.



A Theory Of Immediate Awareness


A Theory Of Immediate Awareness
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Author : M. Estep
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-05-31

A Theory Of Immediate Awareness written by M. Estep and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-31 with Computers categories.


This book presents a realist, multidisciplinary and interdisciplinary theory of immediate awareness showing it is the most primitive cognitive network underlying all our natural intelligence. Including preattentive and attention processes, as well as primitive relations of the senses, imagination and memory, immediate awareness is a kind of knowing deeply embedded and interwoven throughout our multiple kinds of natural intelligence. It permits as well as drives our knowing how, our bodily intelligence. Against the Cartesian mind-body split found in earlier and current theories, the author shows how immediate awareness permits emergent properties of mind in multilayered primitive relations of touching and moving in bodily kinesthetic intelligence. Contrary to existing theories, she argues that sensation is not cognitively "neutral", nor does it require a "representation" in order to be accessible to cognitive processes. Dr. Estep presents empirical evidence and arguments that sensation of immediate awareness is itself cognitive and embedded within our sensory and somatosensory-motor processes. The author's aim is to turn to a more geometric approach to natural intelligence, as opposed to the prevalent symbol-based view. In this approach, she uses random Boolean networks as a way of obtaining law-like properties of those primitive relations of immediate awareness in terms of dynamical systems theory. This demonstrates the properties of self-organization and adaptation of immediate awareness without committing one to a physicalist/materialist theory. It gives us a way of understanding core properties of our own inner conscious lives, and of understanding the smooth and seamless sensitivity of primitive sensory and somatosensory-motor awareness. Dr. Estep's theory of immediate awareness also shows that the computational view of mind is wrong. Though our minds do classify, classification is not all they do. Our immediate awareness indexically selects sui generis objects that are unique and of no kind or class. The influence of nominalism and narrow naturalist theories have resulted in extremely narrow concepts of the human knowing mind and intelligence, leaving out immediate awareness altogether. We slip into subtle nominalist fallacies when we take our language metaphors – and language itself – too far.



Breakthroughs In Software Science And Computational Intelligence


Breakthroughs In Software Science And Computational Intelligence
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Author : Wang, Yingxu
language : en
Publisher: IGI Global
Release Date : 2012-03-31

Breakthroughs In Software Science And Computational Intelligence written by Wang, Yingxu and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-31 with Computers categories.


"This book charts the new ground broken by researchers exploring software science as it interacts with computational intelligence"--