The Algebraic Mind
The Algebraic Mind

Author: Gary F. Marcus

Publisher: MIT Press

Published: 2019-01-01

Total Pages: 241

ISBN-13: 0262354403

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In The Algebraic Mind, Gary Marcus attempts to integrate two theories about how the mind works, one that says that the mind is a computer-like manipulator of symbols, and another that says that the mind is a large network of neurons working together in parallel. Resisting the conventional wisdom that says that if the mind is a large neural network it cannot simultaneously be a manipulator of symbols, Marcus outlines a variety of ways in which neural systems could be organized so as to manipulate symbols, and he shows why such systems are more likely to provide an adequate substrate for language and cognition than neural systems that are inconsistent with the manipulation of symbols. Concluding with a discussion of how a neurally realized system of symbol-manipulation could have evolved and how such a system could unfold developmentally within the womb, Marcus helps to set the future agenda of cognitive neuroscience.

A Mind for Numbers
A Mind for Numbers

Author: Barbara A. Oakley

Publisher: TarcherPerigee

Published: 2014-07-31

Total Pages: 338

ISBN-13: 039916524X

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Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

The Algebra of Happiness
The Algebra of Happiness

Author: Scott Galloway

Publisher: Penguin

Published: 2019-05-14

Total Pages: 258

ISBN-13: 0593084187

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An unconventional book of wisdom and life advice from renowned business school professor and New York Times bestselling author of The Four Scott Galloway. Scott Galloway teaches brand strategy at NYU's Stern School of Business, but his most popular lectures deal with life strategy, not business. In the classroom, on his blog, and in YouTube videos garnering millions of views, he regularly offers hard-hitting answers to the big questions: What's the formula for a life well lived? How can you have a meaningful career, not just a lucrative one? Is work/life balance possible? What are the elements of a successful relationship? The Algebra of Happiness: Notes on the Pursuit of Success, Love, and Meaning draws on Professor Galloway's mix of anecdotes and no-BS insight to share hard-won wisdom about life's challenges, along with poignant personal stories. Whether it's advice on if you should drop out of school to be an entrepreneur (it might have worked for Steve Jobs, but you're probably not Steve Jobs), ideas on how to position yourself in a crowded job market (do something "boring" and move to a city; passion is for people who are already rich), discovering what the most important decision in your life is (it's not your job, your car, OR your zip code), or arguing that our relationships to others are ultimately all that matter, Galloway entertains, inspires, and provokes. Brash, funny, and surprisingly moving, The Algebra of Happiness represents a refreshing perspective on our need for both professional success and personal fulfillment, and makes the perfect gift for any new graduate, or for anyone who feels adrift.

The Birth of the Mind
The Birth of the Mind

Author: Gary Marcus

Publisher: Harper Collins

Published: 2004-12

Total Pages: 292

ISBN-13: 9780465044061

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In The Birth of the Mind, award-winning cognitive scientist Gary Marcus irrevocably alters the nature vs. nurture debate by linking the findings of the Human Genome Project to the development of the brain. Scientists have long struggled to understand how a tiny number of genes could contain the instructions for building the human brain, arguably the most complex device in the known universe. Synthesizing up-to-the-minute research with his own original findings on child development, Marcus is the first to resolve this apparent contradiction. Vibrantly written and completely accessible to the lay reader, The Birth of the Mind will forever change the way we think about our origins and ourselves.

Embodiments of Mind
Embodiments of Mind

Author: Warren S. McCulloch

Publisher: MIT Press

Published: 2016-10-22

Total Pages: 484

ISBN-13: 0262529610

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Writings by a thinker—a psychiatrist, a philosopher, a cybernetician, and a poet—whose ideas about mind and brain were far ahead of his time. Warren S. McCulloch was an original thinker, in many respects far ahead of his time. McCulloch, who was a psychiatrist, a philosopher, a teacher, a mathematician, and a poet, termed his work “experimental epistemology.” He said, “There is one answer, only one, toward which I've groped for thirty years: to find out how brains work.” Embodiments of Mind, first published more than fifty years ago, teems with intriguing concepts about the mind/brain that are highly relevant to recent developments in neuroscience and neural networks. It includes two classic papers coauthored with Walter Pitts, one of which applies Boolean algebra to neurons considered as gates, and the other of which shows the kind of nervous circuitry that could be used in perceiving universals. These first models are part of the basis of artificial intelligence. Chapters range from “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number,” and “Why the Mind Is in the Head,” to “What the Frog's Eye Tells the Frog's Brain” (with Jerome Lettvin, Humberto Maturana, and Walter Pitts), “Machines that Think and Want,” and “A Logical Calculus of the Ideas Immanent in Nervous Activity” (with Walter Pitts). Embodiments of Mind concludes with a selection of McCulloch's poems and sonnets. This reissued edition offers a new foreword and a biographical essay by McCulloch's one-time research assistant, the neuroscientist and computer scientist Michael Arbib.

Problems in Algebraic Number Theory
Problems in Algebraic Number Theory

Author: M. Ram Murty

Publisher: Springer Science & Business Media

Published: 2005-09-28

Total Pages: 354

ISBN-13: 0387269983

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The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Making Sense of Algebra
Making Sense of Algebra

Author: Ernest Paul Goldenberg

Publisher: Heinemann Educational Books

Published: 2015

Total Pages: 0

ISBN-13: 9780325053011

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"This book has much to offer teachers of middle and high school algebra who wish to implement the Common Core Standards for all of their students." -Hyman Bass, Samuel Eilenberg Distinguished University Professor of Mathematics & Mathematics Education, University of Michigan "One of the joys of Making Sense of Algebra is how clearly and practically the 'how' question is answered." -Steven Leinwand, American Institutes for Research, author of Accessible Mathematics "Paul Goldenberg and his colleagues have done a fantastic job of connecting mathematical ideas to teaching those ideas." -David Wees, New Visions for Public Schools, New York City Every teacher wants to help students make sense of mathematics; but what if you could guide your students to expect mathematics to make sense? What if you could help them develop a deep understanding of the reasons behind its facts and methods? In Making Sense of Algebra, the common misconception that algebra is simply a collection of rules to know and follow is debunked by delving into how we think about mathematics. This "habits of mind" approach is concerned not just with the results of mathematical thinking, but with how mathematically proficient students do that thinking. Making Sense of Algebra addresses developing this type of thinking in your students through: using well-chosen puzzles and investigations to promote perseverance and a willingness to explore seeking structure and looking for patterns that mathematicians anticipate finding-and using this to draw conclusions cultivating an approach to authentic problems that are rarely as tidy as what is found in textbooks allowing students to generate, validate, and critique their own and others' ideas without relying on an outside authority. Through teaching tips, classroom vignettes, and detailed examples, Making Sense of Algebra shows how to focus your instruction on building these key habits of mind, while inviting students to experience the clarity and meaning of mathematics-perhaps for the first time. Discover more math resources at Heinemann.com/Math

How Can the Human Mind Occur in the Physical Universe?
How Can the Human Mind Occur in the Physical Universe?

Author: John R. Anderson

Publisher: Oxford University Press

Published: 2009-08-28

Total Pages: 301

ISBN-13: 0199741263

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"The question for me is how can the human mind occur in the physical universe. We now know that the world is governed by physics. We now understand the way biology nestles comfortably within that. The issue is how will the mind do that as well."--Allen Newell, December 4, 1991, Carnegie Mellon University The argument John Anderson gives in this book was inspired by the passage above, from the last lecture by one of the pioneers of cognitive science. Newell describes what, for him, is the pivotal question of scientific inquiry, and Anderson gives an answer that is emerging from the study of brain and behavior. Humans share the same basic cognitive architecture with all primates, but they have evolved abilities to exercise abstract control over cognition and process more complex relational patterns. The human cognitive architecture consists of a set of largely independent modules associated with different brain regions. In this book, Anderson discusses in detail how these various modules can combine to produce behaviors as varied as driving a car and solving an algebraic equation, but focuses principally on two of the modules: the declarative and procedural. The declarative module involves a memory system that, moment by moment, attempts to give each person the most appropriate possible window into his or her past. The procedural module involves a central system that strives to develop a set of productions that will enable the most adaptive response from any state of the modules. Newell argued that the answer to his question must take the form of a cognitive architecture, and Anderson organizes his answer around the ACT-R architecture, but broadens it by bringing in research from all areas of cognitive science, including how recent work in brain imaging maps onto the cognitive architecture.

Mind, Body, World
Mind, Body, World

Author: Michael R. W. Dawson

Publisher: Athabasca University Press

Published: 2013

Total Pages: 506

ISBN-13: 1927356172

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Cognitive science arose in the 1950s when it became apparent that a number of disciplines, including psychology, computer science, linguistics, and philosophy, were fragmenting. Perhaps owing to the field's immediate origins in cybernetics, as well as to the foundational assumption that cognition is information processing, cognitive science initially seemed more unified than psychology. However, as a result of differing interpretations of the foundational assumption and dramatically divergent views of the meaning of the term information processing, three separate schools emerged: classical cognitive science, connectionist cognitive science, and embodied cognitive science. Examples, cases, and research findings taken from the wide range of phenomena studied by cognitive scientists effectively explain and explore the relationship among the three perspectives. Intended to introduce both graduate and senior undergraduate students to the foundations of cognitive science, Mind, Body, World addresses a number of questions currently being asked by those practicing in the field: What are the core assumptions of the three different schools? What are the relationships between these different sets of core assumptions? Is there only one cognitive science, or are there many different cognitive sciences? Giving the schools equal treatment and displaying a broad and deep understanding of the field, Dawson highlights the fundamental tensions and lines of fragmentation that exist among the schools and provides a refreshing and unifying framework for students of cognitive science.