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Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: When you think about it, it seems obvious: The only mathematical ideas that human beings can have are ideas that the human brain allows. We know a lot about what human ideas are like from research in Cognitive Science. Most ideas are unconscious, and that is no less true of the mathematical ones. Abstract ideas, for the most part, arise via conceptual metaphor -- a mechanism for projecting embodied (that is, sensory-motor) reasoning to abstract reasoning. This book argues that conceptual metaphor plays a central, defining role in mathematical ideas within the cognitive unconscious -- from arithmetic and algebra to sets and logic to infinity in all of its forms: transfinite numbers, points at infinity, infinitesimals, and so on. Even the real numbers, the imaginary numbers, trigonometry, and calculus are based on metaphorical ideas coming out of the way we function in the everyday physical world.This book is about mathematical ideas, about what mathematics means -- and why. The authors believe that understanding the metaphors implicit in mathematics will make mathematics make more sense. Moreover, understanding mathematical ideas and how they arise from our bodies and brains will make it clear that the brain's mathematics is mathematics, the only mathematics we know or can know. Buchnummer des Verkäufers

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Inhaltsangabe: When you think about it, it seems obvious: The only mathematical ideas that human beings can have are ideas that the human brain allows. We know a lot about what human ideas are like from research in Cognitive Science. Most ideas are unconscious, and that is no less true of the mathematical ones. Abstract ideas, for the most part, arise via conceptual metaphor-a mechanism for projecting embodied (that is, sensory-motor) reasoning to abstract reasoning. This book argues that conceptual metaphor plays a central, defining role in mathematical ideas within the cognitive unconscious-from arithmetic and algebra to sets and logic to infinity in all of its forms: transfinite numbers, points at infinity, infinitesimals, and so on. Even the real numbers, the imaginary numbers, trigonometry, and calculus are based on metaphorical ideas coming out of the way we function in the everyday physical world.This book is about mathematical ideas, about what mathematics means-and why. The authors believe that understanding the metaphors implicit in mathematics will make mathematics make more sense. Moreover, understanding mathematical ideas and how they arise from our bodies and brains will make it clear that the brain's mathematics is mathematics, the only mathematics we know or can know.

Review: If Barbie thinks math class is tough, what could she possibly think about math as a class of metaphorical thought? Cognitive scientists George Lakoff and Rafael Nuñez explore that theme in great depth in Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. This book is not for the faint of heart or those with an aversion to heavy abstraction--Lakoff and Nuñez pull no punches in their analysis of mathematical thinking. Their basic premise, that all of mathematics is derived from the metaphors we use to maneuver in the world around us, is easy enough to grasp, but following the reasoning requires a willingness to approach complex mathematical and linguistic concepts--a combination that is sure to alienate a fair number of readers.

Those willing to brave its rigors will find Where Mathematics Comes From rewarding and profoundly thought-provoking. The heart of the book wrestles with the important concept of infinity and tries to explain how our limited experience in a seemingly finite world can lead to such a crazy idea. The authors know their math and their cognitive theory. While those who want their abstractions to reflect the real world rather than merely the insides of their skulls will have trouble reading while rolling their eyes, most readers will take to the new conception of mathematical thinking as a satisfying, if challenging, solution. --Rob Lightner

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Lakoff, George; Nunez, Rafael E.
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Buchbeschreibung Basic Books. Hardcover. Buchzustand: Good. 0465037704 Good condition ex-library book with usual library markings and stickers. Buchnummer des Verkäufers Z0465037704Z3

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Buchbeschreibung Basic Books, 2000. Buchzustand: VERY GOOD. little to no wear, pages are clean. The cover and binding are crisp with next no creases. Buchnummer des Verkäufers 2780974366

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Buchbeschreibung Basic Books, 2000. Hardcover. Buchzustand: Used: Good. Buchnummer des Verkäufers SONG0465037704

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Buchbeschreibung Basic Books 2000-11-02, 2000. Hardcover. Buchzustand: Good. 1St Edition. 0465037704 Some wear. Little to no marking in text. In a Good jacket. Buchnummer des Verkäufers AUGUST-22-THRIFT-18808-MJ

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Buchbeschreibung Basic Books, Inc., New York, NY, 2000. Hardcover. Buchzustand: Fine. Zustand des Schutzumschlags: As New. B/W Illustrations (illustrator). First Edition. (full book description) Basic Books, Inc., New York, NY, 2000. 1st Edition 1st Printing, Fine/Fine, Hard Cover, w/Dust Jacket. Size=7.5"x9.5", 492pgs(Index). B/W Illustrations. Clean, bright and tight. No ink names, tears, chips, foxing, etc. Price unclipped. ISBN 0465037704 20% OFF our regular catalogue price. SELLING WORLDWIDE since 1987. 99% OF OUR BOOKS ARE SHIPPED IN CUSTOM BOXES, WE ALWAYS PACK WITH GREAT CARE!. Book. Buchnummer des Verkäufers CONROY233396I

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Buchbeschreibung Basic Books, Inc., New York, NY, 2000. Hardcover. Buchzustand: Fine. Zustand des Schutzumschlags: As New. B/W Illustrations (illustrator). First Edition. (full book description) Basic Books, Inc., New York, NY, 2000. 1st Edition 1st Printing, Fine/Fine, Hard Cover, w/Dust Jacket. Size=7.5"x9.5", 492pgs(Index). B/W Illustrations. Clean, bright and tight. No ink names, tears, chips, foxing, etc. Price unclipped. DJ in a clear plastic protective cover. ISBN 0465037704 20% OFF our regular catalogue price. SELLING WORLDWIDE since 1987. 99% OF OUR BOOKS ARE SHIPPED IN CUSTOM BOXES, WE ALWAYS PACK WITH GREAT CARE!. Book. Buchnummer des Verkäufers CONROY235743I

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Buchbeschreibung Buchzustand: Good. Book Condition: Good. Buchnummer des Verkäufers 97804650377044.0

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Buchbeschreibung Basic Books, 2000. Hardcover. Buchzustand: Fine. Zustand des Schutzumschlags: Fine. First Edition; First Printing. Clean, pristine, gift quality! The excellent jacket is preserved by a mylar Brodart cover. Fast shipping, with tracking number provided. ; 9.40 X 7.40 X 1.50 inches; 512 pages. Buchnummer des Verkäufers 38013

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Buchbeschreibung Basic Books, 2000. Hardcover. Buchzustand: New. New Book & Dust Jacket. Lightest of shelf/storage wear. SHIPS WITHIN 24 HOURS! Tracking Provided. DHL processing & USPS delivery for an average of 3-5 Day Standard & 2-3 Day Expedited! FREE INSURANCE! Fast & Personal Support! Careful Packaging. No Hassle, Full Refund Return Policy!. Buchnummer des Verkäufers mon0000558752

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Buchbeschreibung Basic Books 2000-01-15, 2000. Hardcover. Buchzustand: good. 1st. 0465037704. Buchnummer des Verkäufers 676171

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