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This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathematics Comes From argues that conceptual metaphor plays a central role in mathematical ideas within the cognitive unconscious-from arit
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Paperback, 512 pages

Published
August 16th 2001
by Basic Books
(first published 2000)

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I've long believed that there was no way to break down thought into discernible mechanistic-like chunks and analyze the thought process in a non-hand-waving manner. I am delighted to discover I was wrong about this. It turns out cognitive scientists have developed what seems to be a very solid method and vocabular ...more

In former, the authors propose a (loosely defined) "metaphor" to show how the infinite series work, which cannot even show the convergence or divergence of the series! It actually gets help from math and is faki ...more

I'm far too dim to understand Lakoff + Núñez's ideas.

Or maybe they're not saying anything other than people have to use language to express and explain mathematical ideas and language is entirely metaphorical.

Or maybe they're saying that mathematics is entirely metaphorical and language is fundamental.

There's a philosophical chicken-and-egg problem with this entire book.

Or ma ...more

Mar 15, 2014
Carlos Burga
rated it
1 of 5 stars
·
review of another edition

Shelves:
general-science,
non-fiction

Reading this book seemed like watching a picture come in and out of focus constantly. The authors start the book with the great promise to explicitly present the underlying metaphors of all of mathematics and they begin quite well. They explain arithmetic from innate counting abilities in humans and clarifying the metaphors by which those innate abilities are extended to all of what we know as arithmetic. Unfortunately, the book starts to see-saw on the following chapter on algebra. The authors
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Oct 17, 2010
Hollis
marked it as to-read

This wasn't as 'dense' reading as I'd anticipated, but I need to read it when I have more time to focus - abandoned it for the moment

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George Lakoff is Richard and Rhoda Goldman Distinguished Professor of Cognitive Science and Linguistics at UC Berkeley and is one of the founders of the field of cognitive science.

He is author of The New York Times bestseller*Don't Think of an Elephant!*, as well as *Moral Politics: How Liberals and Conservatives Think*, *Whose Freedom?*, and many other books and articles on cognitive science and ling
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More about George Lakoff...
He is author of The New York Times bestseller

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