Where Mathematics Comes from: How the Embodied Mind Brings Mathematics Into Being

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Basic Books, 2000 - Mathematics - 492 pages
36 Reviews
The embodiment of basic arithmetic : The Brain's Innate Arithmetic - A Brief Introduction to the Cognitive Science of the Embodied Mind - Embodied Arithmetic: The Grounding Metaphors - Where Do the Laws of Arithmetic Come From? / - Algebra, logic, and sets : Essence and Algebra - Boole's Metaphor: Classes and Symbolic Logic - Sets and Hypersets / - The embodiment of infinity : The Basic Metaphor of Infinity - Real Numbers and Limits - Transfinite Numbers - Infinitesimals / - Banning space and motion: the discretization program that shaped modern mathematics : Points and the Continuum - Continuity for Numbers: The Triumph of Dedekind's Metaphors - Calculus Without Space or Motion: Weierstrass's Metaphorical Masterpiece / - Implications for the philosophy of mathematics : The Theory of Embodied Mathematics - The Philosophy of Embodied Mathematics /
 

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Review: Where Mathematics Come From: How the Embodied Mind Brings Mathematics into Being

User Review  - Goodreads

Cognitive linguistics has at its underlying aesthetic the very literal understanding that how we think of things is what they are. This follows post-structural rhetoricians like Paul Ricoeur who argue ... Read full review

Review: Where Mathematics Come From: How the Embodied Mind Brings Mathematics into Being

User Review  - Hamed Zakerzadeh - Goodreads

It is the worst rating I have ever given to a book! Simply speaking, the whole book is trying to convince you that it has a more realistic explanation of the nature of mathematics, and believe me, it ... Read full review

Contents

The Brains Innate Arithmetic
15
A Brief Introduction to the Cognitive Science of the Embodied Mind
27
Embodied Arithmetic The Grounding Metaphors
50
Where Do the Laws of Arithmetic Come From?
77
Essence and Algebra
107
Booles Metaphor Classes and Symbolic Logic
121
Sets and Hypersets
140
The Basic Metaphor of Infinity
155
Continuity for Numbers The Triumph of Dedekinds Metaphors
292
Calculus Without Space or Motion Weierstrasss Metaphorical Masterpiece
306
A Classic Paradox of Infinity
325
The Theory of Embodied Mathematics
337
The Philosophy of Embodied Mathematics
364
Case Study 1 Analytic Geometry and Trigonometry
383
Case Study 2 What Is e?
399
Case Study 3 What Is i?
420

Real Numbers and Limits
181
Transfinite Numbers
208
Infinitesimals
223
Points and the Continuum
259
Case Study 4 e𝝅𝙞 + 1 0 How the Fundamental Ideas of Classical Mathematics Fit Together
433
References
453
Index
473
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About the author (2000)

George Lakoff is Professor of Linguistics at the University of California, Berkeley. He was a founder of the generative semantics movements in linguistics in the 1960s and of the field of cognitive linguistics in the 1970s, and one of the developers of the neural theory of language in the 1980s and '90s. He is the co-author, with Mark Johnson, of Metaphors We Live By and Philosophy in the Flesh.Rafael Nuñez is currently at the Department of Psychology of the University of Freiburg, and is a research associate of the University of California, Berkeley. He is the co-editor of Reclaiming Cognition: The Primacy of Action, Intention and Emotion.

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