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 - Alex Lee - 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 BeingUser Review - Cameron - Goodreads
A great read for anyone with a love for math, or with an interest in how human ideas come to be. 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?