Mathematical Intelligence

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Mathematical Intelligence
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Author : Junaid Mubeen
language : en
Publisher: Profile Books
Release Date : 2022-06-02
Mathematical Intelligence written by Junaid Mubeen and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-02 with Mathematics categories.
There's so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords. But Junaid Mubeen isn't ready to throw in the towel just yet. As far as he is concerned, we have the creative edge over machines, because of a remarkable system of thought that humans have developed over the millennia. It's familiar to us all, but often badly taught in schools and misrepresented in popular discourse - maths. Computers are, of course, brilliant at totting up sums, pattern-seeking and performing mindless tasks of, well, computation. For all things calculation, machines reign supreme. But Junaid identifies seven areas of intelligence where humans can retain a crucial edge. And in exploring these areas, he opens up a fascinating world where we can develop our uniquely human mathematical superpowers.
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.
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.
Handbook Of Intelligence
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Author : Robert J. Sternberg
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-13
Handbook Of Intelligence written by Robert J. Sternberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-13 with Computers categories.
Not since the landmark publication of Handbook of Human Intelligence in 1982 has the field of intelligence been more alive than it is today. Spurred by the new developments in this rapidly expanding field, Dr Sternberg has brought together a stellar list of contributors to provide a comprehensive, broad and deeply thematic review of intelligence that will be accessible to both scholar and student. The field of intelligence is lively on many fronts, and this volume provides full coverage on topics such as behavior-genetic models, evolutionary models, cognitive models, emotional intelligence, practical intelligence, and group difference. Handbook of Intelligence is largely expanded, covering areas such as animal and artificial intelligence, as well as human intelligence. It fully reflects important theoretical progress made since the early 1980s.
Intelligence
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Author : Lucien Sina
language : en
Publisher: epubli
Release Date : 2024-08-11
Intelligence written by Lucien Sina and has been published by epubli this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-11 with Business & Economics categories.
Explore the ebook version of "Intelligence," a captivating exploration of the multifaceted nature of human intelligence. This digital book delves into the intricacies of cognitive processes and the influence of genetics and environment, offering the latest research and theories for a comprehensive understanding of what it means to be intelligent. Drawing on Howard Gardner's theory of multiple intelligences, the ebook vividly describes the eight types of intelligence: linguistic, logical-mathematical, spatial, bodily-kinesthetic, musical, interpersonal, intrapersonal, and naturalist intelligences. By recognizing and valuing these different forms of intelligence, the author provides a more holistic approach to understanding the diverse ways individuals can be intelligent. Whether you are a scholar, a student, or simply curious about the enigma of intelligence, this ebook promises to enlighten and enthrall, offering a rich mosaic of insights into the various facets of human intelligence.
How The Brain Learns Mathematics
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Author : David A. Sousa
language : en
Publisher: Corwin Press
Release Date : 2007-09-17
How The Brain Learns Mathematics written by David A. Sousa and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-17 with Education categories.
Learn how the brain processes mathematical concepts and why some students develop math anxiety! David A. Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines: Children’s innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK–12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points
Primary Mathematics For Trainee Teachers
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Author : Marcus Witt
language : en
Publisher: Learning Matters
Release Date : 2014-11-19
Primary Mathematics For Trainee Teachers written by Marcus Witt and has been published by Learning Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Education categories.
With chapter sequencing following the new Curriculum, this book supports trainee Primary school teachers to make use of the opportunities presented in the new National Curriculum for effective and engaging Mathematics teaching. Covering all of the areas of the new Curriculum for primary mathematics and offering insight into effective teaching, this book helps students connect what they need to teach with how it can be taught. Exploring opportunities in the new curriculum for creative and imaginative teaching, it shows readers how to capitalize on opportunities to develop children′s reasoning and problem solving skills. It explores how to make links between mathematics and children′s lived experiences to enhance their learning and enables trainees to develop an ability to plan with discernment, making the most of existing thinking and research as well as building confidence in adapting and customizing ideas. Includes the full National Curriculum Programme of Study for Maths, key stages 1 and 2 as a useful reference for trainee teachers. Other books in this series include: Primary English for Trainee Teachers
Human Intelligence
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Author : Robert J. Sternberg
language : en
Publisher: Cambridge University Press
Release Date : 2019-09-19
Human Intelligence written by Robert J. Sternberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-19 with Psychology categories.
The most comprehensive, up-to-date, and readable textbook on human intelligence, written by leading experts in the field.
The Structure Of Intelligence
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Author : Ben Goertzel
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-06-24
The Structure Of Intelligence written by Ben Goertzel 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 1993-06-24 with Computers categories.
0. 0 Psychology versus Complex Systems Science Over the last century, psychology has become much less of an art and much more of a science. Philosophical speculation is out; data collection is in. In many ways this has been a very positive trend. Cognitive science (Mandler, 1985) has given us scientific analyses of a variety of intelligent behaviors: short-term memory, language processing, vision processing, etc. And thanks to molecular psychology (Franklin, 1985), we now have a rudimentary understanding of the chemical processes underlying personality and mental illness. However, there is a growing feeling-particularly among non-psychologists (see e. g. Sommerhoff, 1990) - that, with the new emphasis on data collection, something important has been lost. Very little attention is paid to the question of how it all fits together. The early psychologists, and the classical philosophers of mind, were concerned with the general nature of mentality as much as with the mechanisms underlying specific phenomena. But the new, scientific psychology has made disappointingly little progress toward the resolution of these more general questions. One way to deal with this complaint is to dismiss the questions themselves. After all, one might argue, a scientific psychology cannot be expected to deal with fuzzy philosophical questions that probably have little empirical signifi cance. It is interesting that behaviorists and cognitive scientists tend to be in agreement regarding the question of the overall structure of the mind.
Differentiating Math Instruction
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Author : William N. Bender
language : en
Publisher: Corwin Press
Release Date : 2009-03-17
Differentiating Math Instruction written by William N. Bender and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-17 with Education categories.
With recommendations based on the 2008 National Mathematics Advisory Panel report, this updated resource provides classroom-ready strategies for differentiating math instruction.