Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
Publisher Unknown
Release Date
Category Mathematics
Total Pages 492
ISBN UOM:39015049551552
Rating 4.5/5 from 2 reviews
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Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. 20,000 first printing.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
  • Author : George Lakoff,Rafael E. Nunez
  • Publisher : Unknown
  • Release Date : 2000-11-02

Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. 20,000 first printing.

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Reclaiming Cognition
  • Author : Rafael Núñez,Walter J. Freeman
  • Publisher : Imprint Academic
  • Release Date : 1999

Traditional cognitive science ('cognitivism') is Cartesian in the sense that it takes as fundamental the distinction between the mind and the world. This leads to the claim that cognition is representational and best explained by classical AI and computational theory. The authors in this volume develop a critique of cognitivism

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Philosophy In The Flesh
  • Author : George Lakoff
  • Publisher : Basic Books
  • Release Date : 1999-10-08

What are human beings like? How is knowledge possible? What is truth? Where do moral values come from? Questions like these have stood at the center of Western philosophy for centuries. In addressing them, philosophers have made certain fundamental assumptions-that we can know our own minds by introspection, that most

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The Math Gene
  • Author : Keith Devlin
  • Publisher : Basic Books
  • Release Date : 2001-05-17

Why is math so hard? And why, despite this difficulty, are some people so good at it? If there's some inborn capacity for mathematical thinking—which there must be, otherwise no one could do it —why can't we all do it well? Keith Devlin has answers to all these difficult

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What is Mathematics  Really
  • Author : Reuben Hersh
  • Publisher : Oxford University Press, USA
  • Release Date : 1999

Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context.

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Embodied Mind  Meaning  and Reason
  • Author : Mark Johnson
  • Publisher : University of Chicago Press
  • Release Date : 2017-11-20

Mark Johnson is one of the great thinkers of our time on how the body shapes the mind. This book brings together a selection of essays from the past two decades that build a powerful argument that any scientifically and philosophically satisfactory view of mind and thought must ultimately explain

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18 Unconventional Essays on the Nature of Mathematics
  • Author : Reuben Hersh
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-01-16

Collection 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

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Whose Freedom
  • Author : George Lakoff
  • Publisher : Farrar, Straus and Giroux
  • Release Date : 2006-06-27

Since September 11, 2001, the Bush administration has relentlessly invoked the word "freedom." The United States can strike preemptively because "freedom is on the march." Social security should be privatized in order to protect individual freedoms. In the 2005 presidential inaugural speech, the words "freedom," "free," and "liberty" were used forty-nine times. "Freedom"

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Surfing Uncertainty
  • Author : Andy Clark
  • Publisher : Oxford University Press, USA
  • Release Date : 2016

This title brings together work on embodiment, action, and the predictive mind. At the core is the vision of human minds as prediction machines - devices that constantly try to stay one step ahead of the breaking waves of sensory stimulation, by actively predicting the incoming flow. In every situation

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The Mathematician s Mind
  • Author : Jacques Hadamard
  • Publisher : Princeton University Press
  • Release Date : 2020-05-05

Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual

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Embodied Artificial Intelligence
  • Author : Fumiya Iida,Rolf Pfeifer,Luc Steels,Yasuo Kuniyoshi
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-07-08

Originating 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

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Why Is There Philosophy of Mathematics At All
  • Author : Ian Hacking
  • Publisher : Cambridge University Press
  • Release Date : 2014-01-30

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction

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Understanding in Mathematics
  • Author : Anna Sierpinska
  • Publisher : Routledge
  • Release Date : 2013-01-11

The concept of understanding in mathematics with regard to mathematics education is considered in this volume. The main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. In combining elements of maths, philosophy, logic, linguistics and the psychology of maths education from her

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Developmental Perspectives on Embodiment and Consciousness
  • Author : Willis Overton,Ulrich Mueller,Judith Newman
  • Publisher : Psychology Press
  • Release Date : 2012-10-02

Until recently, the body has been largely ignored in theories and empirical research in psychology, particularly in developmental psychology. Recently however, several conceptions of the relation between body and mind have been developed. Common among these conceptions is the idea that the body plays an important role in our emotional,

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Philosophical Perspectives on Metaphor
  • Author : Mark Johnson
  • Publisher : U of Minnesota Press
  • Release Date : 1981

Philosophical Perspectives on Metaphor was first published in 1981. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. "We are," says Mark Johnson, "in the midst of metaphormania." The past few years have seen an

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