Mathematical Intelligence

Author : Mubeen Junaid
Publisher : Simon and Schuster
Page : 215 pages
File Size : 48,6 Mb
Release : 2022-11-01
Category : Mathematics
ISBN : 9781639362578

Get Book

Mathematical Intelligence by Mubeen Junaid Pdf

A fresh exploration into the 'human nature versus technology’ argument, revealing an unexpected advantage that humans have over our future robot masters: we’re actually good at mathematics. There’s so much discussion about the threat posed by intelligent machines that it sometimes seems as though we should simply surrender to our robot overlords now. 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 computers, 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—math. 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 talents. Just a few of the fascinating subjects covered in MATHEMATICAL INTELLIGENCE include: -Humans are endowed with a natural sense of numbers that is based on approximation rather than precise calculation. Our in-built estimation skills complement the precision of computers. Interpreting the real world depends on both. -What sets humans apart from other animals is language and abstraction. We have an extraordinary ability to create powerful representations of knowledge— more diverse than the binary language of computers. -Mathematics confers the most robust, logical framework for establishing permanent truths. Reasoning shields us from the dubious claims of pure pattern-recognition systems. -All mathematical truths are derived from a starting set of assumptions, or axioms. Unlike computers, humans have the freedom to break free of convention and examine the logical consequences of our choices. Mathematics rewards our imagination with fascinating and, on occasion, applicable concepts that originate from breaking the rules. -Computers can be tasked to solve a range of problems, but which problems are worth the effort? Questioning is as vital to our repertoire of thinking skills as problem-solving itself.

Author : Danny A. J. Gómez Ramírez
Publisher : Springer Nature
Page : 268 pages
File Size : 42,8 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9783030502737

Get Book

Artificial Mathematical Intelligence by Danny A. J. Gómez Ramírez Pdf

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.

Author : Yair Neuman
Publisher : Springer
Page : 173 pages
File Size : 52,7 Mb
Release : 2017-12-01
Category : Mathematics
ISBN : 9783319682464

Get Book

Mathematical Structures of Natural Intelligence by Yair Neuman Pdf

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.

Author : Junaid Mubeen
Publisher : Profile Books
Page : 226 pages
File Size : 45,6 Mb
Release : 2022-06-02
Category : Mathematics
ISBN : 9781782837954

Get Book

Mathematical Intelligence by Junaid Mubeen Pdf

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.

Author : Lucien Sina
Publisher : epubli
Page : 350 pages
File Size : 52,6 Mb
Release : 2024-06-05
Category : Body, Mind & Spirit
ISBN : 9783759824387

Get Book

Intelligence by Lucien Sina Pdf

"Intelligence" by Lucien Sina is a captivating exploration of the multifaceted nature of human intelligence. From the intricacies of cognitive processes to the influence of genetics and environment, this book delves into the latest research and theories, offering a comprehensive understanding of what it means to be intelligent. Drawing on Howard Gardner's theory of multiple intelligences, the book vividly describes the eight types of intelligence, including 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 in which individuals can be intelligent. Whether you are a scholar, a student, or simply curious about the enigma of intelligence, this book promises to enlighten and enthrall, offering a rich mosaic of insights into the various facets of human intelligence.

Author : Josh Sullivan,Angela Zutavern
Publisher : PublicAffairs
Page : 304 pages
File Size : 54,5 Mb
Release : 2017-06-06
Category : Business & Economics
ISBN : 9781610397896

Get Book

The Mathematical Corporation by Josh Sullivan,Angela Zutavern Pdf

The most powerful weapon in business today is the alliance between the mathematical smarts of machines and the imaginative human intellect of great leaders. Together they make the mathematical corporation, the business model of the future. We are at a once-in-a-decade breaking point similar to the quality revolution of the 1980s and the dawn of the internet age in the 1990s: leaders must transform how they run their organizations, or competitors will bring them crashing to earth--often overnight. Mathematical corporations--the organizations that will master the future--will outcompete high-flying rivals by merging the best of human ingenuity with machine intelligence. While smart machines are weapon number one for organizations, leaders are still the drivers of breakthroughs. Only they can ask crucial questions to capitalize on business opportunities newly discovered in oceans of data. This dynamic combination will make possible the fulfillment of missions that once seemed out of reach, even impossible to attain. Josh Sullivan and Angela Zutavern's extraordinary examples include the entrepreneur who upended preventive health care, the oceanographer who transformed fisheries management, and the pharmaceutical company that used algorithm-driven optimization to boost vaccine yields. Together they offer a profoundly optimistic vision for a dazzling new phase in business, and a playbook for how smart companies can manage the essential combination of human and machine.

Author : Justin Joque
Publisher : Verso Books
Page : 241 pages
File Size : 54,7 Mb
Release : 2022-01-18
Category : Political Science
ISBN : 9781788734004

Get Book

Revolutionary Mathematics by Justin Joque Pdf

Traces the revolution in statistics that gave rise to artificial intelligence and predictive algorithms refiguring contemporary capitalism. Our finances, politics, media, opportunities, information, shopping and knowledge production are mediated through algorithms and their statistical approaches to knowledge; increasingly, these methods form the organizational backbone of contemporary capitalism. Revolutionary Mathematics traces the revolution in statistics and probability that has quietly underwritten the explosion of machine learning, big data and predictive algorithms that now decide many aspects of our lives. Exploring shifts in the philosophical understanding of probability in the late twentieth century, Joque shows how this was not merely a technical change but a wholesale philosophical transformation in the production of knowledge and the extraction of value. This book provides a new and unique perspective on the dangers of allowing artificial intelligence and big data to manage society. It is essential reading for those who want to understand the underlying ideological and philosophical changes that have fueled the rise of algorithms and convinced so many to blindly trust their outputs, reshaping our current political and economic situation.

Author : Ben Goertzel
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 42,5 Mb
Release : 2013-03-07
Category : Psychology
ISBN : 9781461243366

Get Book

The Structure of Intelligence by Ben Goertzel Pdf

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.

Author : David A. Sousa
Publisher : Corwin Press
Page : 529 pages
File Size : 43,6 Mb
Release : 2007-09-17
Category : Education
ISBN : 9781452294919

Get Book

How the Brain Learns Mathematics by David A. Sousa Pdf

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

Author : Doc Childre,Howard Martin,Deborah Rozman,Rollin McCraty
Publisher : Waterside Productions
Page : 0 pages
File Size : 55,9 Mb
Release : 2017-07-25
Category : Body, Mind & Spirit
ISBN : 194539093X

Get Book

Heart Intelligence: Connecting with the Intuitive Guidance of the Heart by Doc Childre,Howard Martin,Deborah Rozman,Rollin McCraty Pdf

"Doc Childre's writing is eloquent, his wisdom is profound, and his easy way of communicating makes this book a treasure. His colleagues present the energy of the heart in the safety of a scientific context that invites us again and again to move beyond it." -- Gary Zukav, author The Seat of the Soul and The Dancing Wu Li Masters Heart Intelligence, Connecting with the Intuitive Guidance of the Heart provides readers with a new, high definition picture of the energetic heart as a unifying, creative, intuitive intelligence that we can learn to draw on for moment to moment guidance. Heart Intelligence links the physical heart to the spiritual (energetic) heart. Through its extensive communication with the brain and body, the heart is intimately involved in how we think, feel, and respond to the world. Expanding on their breakthrough book, The HeartMath Solution, the authors offer heart-based techniques and guidelines for living from the heart, which connects the puzzle pieces of our purpose and fulfillment. The book provides information and simple practices for accessing our heart's intuitive guidance to connect with our highest choices for better outcomes. Our choices are especially important through these changing times because they constantly create or disrupt our peace, happiness and self-security. Our thoughts and feelings influence the chemistry that regulates much of our health -- how we feel, for better or worse. Our thoughts, feelings, emotions and attitudes are just frequencies that we can learn to change -- once we put our heart into our intention. Heart Intelligence provides practices to replace fear with the attitude of intelligent concern (managed concern) which leaves us in charge and more attuned to intuitive direction. We learn the benefits of practicing simple coherence techniques a few times a day for boosting resilience and emotional balance; making appropriate choices; and clearing our mind from anxiety or overwhelm when needed. It is through deepening our heart intelligence, coherence and connection that humanity will be able to shift from separation to cooperation resulting in higher solutions to our personal and global problems

Author : Anna M. Gil-Lafuente,José M. Merigó,Bal Kishan Dass,Rajkumar Verma
Publisher : Springer
Page : 428 pages
File Size : 42,9 Mb
Release : 2018-03-06
Category : Technology & Engineering
ISBN : 9783319757926

Get Book

Applied Mathematics and Computational Intelligence by Anna M. Gil-Lafuente,José M. Merigó,Bal Kishan Dass,Rajkumar Verma Pdf

This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for Interdisciplinary Mathematics (India). This instalment of the conference was presented with the title “Applied Mathematics and Computational Intelligence” and particularly focused on the use of Mathematics and Computational Intelligence techniques in a diverse range of scientific disciplines, as well as their applications in real-world problems. The book presents thirty peer-reviewed research papers, organised into four topical sections: on Mathematical Foundations; Computational Intelligence and Optimization Techniques; Modelling and Simulation Techniques; and Applications in Business and Engineering. This book will be of great interest to anyone working in the area of applied mathematics and computational intelligence and will be especially useful for scientists and graduate students pursuing research in these fields.

Author : Vladimir Lifschitz
Publisher : Academic Press
Page : 488 pages
File Size : 53,7 Mb
Release : 2012-12-02
Category : Computers
ISBN : 9780323148313

Get Book

Artificial and Mathematical Theory of Computation by Vladimir Lifschitz Pdf

Artificial and Mathematical Theory of Computation is a collection of papers that discusses the technical, historical, and philosophical problems related to artificial intelligence and the mathematical theory of computation. Papers cover the logical approach to artificial intelligence; knowledge representation and common sense reasoning; automated deduction; logic programming; nonmonotonic reasoning and circumscription. One paper suggests that the design of parallel programming languages will invariably become more sophisticated as human skill in programming and software developments improves to attain faster running programs. An example of metaprogramming to systems concerns the design and control of operations of factory devices, such as robots and numerically controlled machine tools. Metaprogramming involves two design aspects: that of the activity of a single device and that of the interaction with other devices. One paper cites the application of artificial intelligence pertaining to the project "proof checker for first-order logic" at the Stanford Artificial Intelligence Laboratory. Another paper explains why the bisection algorithm widely used in computer science does not work. This book can prove valuable to engineers and researchers of electrical, computer, and mechanical engineering, as well as, for computer programmers and designers of industrial processes.

Author : M. Zweng,Green,Kilpatrick,Pollack,Suydam
Publisher : Springer Science & Business Media
Page : 740 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468482232

Get Book

Proceedings of the Fourth International Congress on Mathematical Education by M. Zweng,Green,Kilpatrick,Pollack,Suydam Pdf

Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.

Author : Agnes Low Rogers
Publisher : Unknown
Page : 134 pages
File Size : 53,9 Mb
Release : 1918
Category : Ability
ISBN : STANFORD:36105030751593

Get Book

Experimental Tests of Mathematical Ability and Their Prognostic Value by Agnes Low Rogers Pdf

Author : Sally J. Zepeda,R. Stewart Mayers
Publisher : Routledge
Page : 225 pages
File Size : 48,6 Mb
Release : 2014-05-22
Category : Education
ISBN : 9781317919223

Get Book

Supervision Across the Content Areas by Sally J. Zepeda,R. Stewart Mayers Pdf

You became a school leader after succeeding in your particular content area and/or grade level. Now you’re responsible for the entire school. You are accountable for everything that goes on, including results from those who teach outside your areas of original expertise. Supervision Across the Content Areas provides tools and strategies to help you effectively supervise all of your teachers, including those in contents areas or grade levels in which you may not have had personal classroom experience. While focusing on four key content areas – Mathematics, Science, English/Language Arts, and Social Studies – this book also provides supervision tools for other content areas (foreign languages, fine arts, physical education, etc.) Also included are tools and strategies to help you supervise teachers who use instructional strategies such as differentiated instruction, Socratic Seminars, cooperative learning, and inquiry apply local and national standards to frame your instructional program. - ensure accountability of teachers who use multiple intelligences, brain-based learning, and other innovations.