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