Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
Author: George Lakoff
Publisher:
Published: 2000-11-02
Total Pages: 520
ISBN-13:
DOWNLOAD EBOOKA study of the cognitive science of mathematical ideas.
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Reclaiming Cognition
Author: Rafael E. Núñez
Publisher: Imprint Academic
Published: 1999
Total Pages: 310
ISBN-13: 9780907845065
DOWNLOAD EBOOKTraditional cognitive science is Cartesian in the sense that it takes as fundamental the distinction between the mental and the physical, the mind and the world. This leads to the claim that cognition is representational and best explained using models derived from AI and computational theory. The authors depart radically from this model.
Embodied Artificial Intelligence
Author: Fumiya Iida
Publisher: Springer Science & Business Media
Published: 2004-07-08
Total Pages: 340
ISBN-13: 354022484X
DOWNLOAD EBOOKOriginating from a Dagstuhl seminar, the collection of papers presented in this book constitutes on the one hand a representative state-of-the-art survey of embodied artificial intelligence, and on the other hand the papers identify the important research trends and directions in the field. Following an introductory overview, the 23 papers are organized into topical sections on - philosophical and conceptual issues - information, dynamics, and morphology - principles of embodiment for real-world applications - developmental approaches - artificial evolution and self-reconfiguration
A Mathematician's Lament
Author: Paul Lockhart
Publisher: Bellevue Literary Press
Published: 2009-04-01
Total Pages: 144
ISBN-13: 1934137332
DOWNLOAD EBOOK“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.
18 Unconventional Essays on the Nature of Mathematics
Author: Reuben Hersh
Publisher: Springer Science & Business Media
Published: 2006-01-16
Total Pages: 346
ISBN-13: 0387298312
DOWNLOAD EBOOKCollection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners
Author:
Publisher: BRILL
Published: 2017-01-01
Total Pages: 294
ISBN-13: 9463512128
DOWNLOAD EBOOKThe various chapters tell practical stories of equitable practices for diverse learners within a range of different contexts. Different research perspectives, empirical traditions, and conceptual foci are presented in each chapter. Various aspects of diversity are raised, issues of concern are engaged with, and at times conventional wisdom challenged as the authors provide insights as to how educators may address issues of equitable access of minoritized learners to the mathematical discourse within settings across early primary through to high school, and situated in schools or in family and community settings.
Elbow Room, new edition
Author: Daniel C. Dennett
Publisher: MIT Press
Published: 2015-08-07
Total Pages: 243
ISBN-13: 0262527790
DOWNLOAD EBOOKA landmark book in the debate over free will that makes the case for compatibilism. In this landmark 1984 work on free will, Daniel Dennett makes a case for compatibilism. His aim, as he writes in the preface to this new edition, was a cleanup job, “saving everything that mattered about the everyday concept of free will, while jettisoning the impediments.” In Elbow Room, Dennett argues that the varieties of free will worth wanting—those that underwrite moral and artistic responsibility—are not threatened by advances in science but distinguished, explained, and justified in detail. Dennett tackles the question of free will in a highly original and witty manner, drawing on the theories and concepts of fields that range from physics and evolutionary biology to engineering, automata theory, and artificial intelligence. He shows how the classical formulations of the problem in philosophy depend on misuses of imagination, and he disentangles the philosophical problems of real interest from the “family of anxieties” in which they are often enmeshed—imaginary agents and bogeymen, including the Peremptory Puppeteer, the Nefarious Neurosurgeon, and the Cosmic Child Whose Dolls We Are. Putting sociobiology in its rightful place, he concludes that we can have free will and science too. He explores reason, control and self-control, the meaning of “can” and “could have done otherwise,” responsibility and punishment, and why we would want free will in the first place. A fresh reading of Dennett's book shows how much it can still contribute to current discussions of free will. This edition includes as its afterword Dennett's 2012 Erasmus Prize essay.
Thinking In Numbers
Author: Daniel Tammet
Publisher: Little, Brown Spark
Published: 2013-07-30
Total Pages: 240
ISBN-13: 0316250805
DOWNLOAD EBOOKThe irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.
How Humans Learn to Think Mathematically
Author: David Tall
Publisher: Cambridge University Press
Published: 2013-09-02
Total Pages: 483
ISBN-13: 1107035708
DOWNLOAD EBOOKHow Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
The Principles of Mathematics
Author: Bertrand Russell
Publisher: W. W. Norton & Company
Published: 1996
Total Pages: 580
ISBN-13: 9780393314045
DOWNLOAD EBOOKRussell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.
