Where Mathematics Come From: How The Embodied Mind Brings Mathematics Into Being
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 arithmetic and algebra to sets and logic to infinity in all of its forms.
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LibraryThing ReviewUser Review - jcopenha - LibraryThing
I've never ready anything about cognitive science and as this book is a look at Mathematics from the Cognitive Scientist point of view it was difficult to start. By the end of the book I was pretty ... Read full review
LibraryThing ReviewUser Review - fpagan - LibraryThing
Can be summarized by the dust-jacket slogans "Mathematics is not built into the universe" and "The portrait of mathematics has a human face." Meaty and quite absorbing, even though it goes against my sometime Platonist sympathies. Read full review
The Brains 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?
Essence and Algebra
Booles Metaphor Classes and Symbolic Logic
Sets and Hypersets
The Basic Metaphor of Infinity
Continuity for Numbers The Triumph of Dedekinds Metaphors
Calculus Without Space or Motion Weierstrasss Metaphorical Masterpiece
A Classic Paradox of Infinity
The Theory of Embodied Mathematics
The Philosophy of Embodied Mathematics
Case Study 1 Analytic Geometry and Trigonometry
Case Study 2 What Is e?
Case Study 3 What Is i?