Where Mathematics Comes 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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Review: Where Mathematics Come From: How the Embodied Mind Brings Mathematics into BeingUser Review - Carrie - Goodreads
I find some of the arguments in this book tautological, thought it is difficult to articulate why. The section on an Embodied Philosophy of Mathematics is one of the most interesting in the book. The ... Read full review
Review: Where Mathematics Come From: How the Embodied Mind Brings Mathematics into BeingUser Review - James Ashby - Goodreads
I was hoping for so much more from this book based upon the way it was described. At the time of reading this book, I was searching for a research-supported narrative delineating the cognitive ... 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?