TY  - BOOK
AU  - Lakoff,George
AU  - Núñez,Rafael E.
TI  - Where mathematics comes from: how the embodied mind brings mathematics into being 
SN  - 0465037704
AV  - QA141.15 .L37 2000
U1  - 510 23
PY  - 2000///]
CY  - New York, NY
PB  - Basic Books
KW  - Number concept
KW  - Mathematics
KW  - Psychological aspects
KW  - Philosophy
N1  - Includes bibliographical references (pages 453-472) and index; Introduction: Why Cognitive Science Matters to Mathematics --; Part I. The embodiment of basic arithmetic --; 1; The Brain's Innate Arithmetic --; 2; A Brief Introduction to the Cognitive Science of the Embodied Mind --; 3; Embodied Arithmetic: The Grounding Metaphors --; 4; Where Do the Laws of Arithmetic Come From? --; Part II. Algebra, logic, and sets --; 5; Essence and Algebra --; 6; Boole's Metaphor: Classes and Symbolic Logic --; 7; Sets and Hypersets --; Part III. The embodiment of infinity --; 8; The Basic Metaphor of Infinity --; 9; Real Numbers and Limits --; 10; Transfinite Numbers --; 11; Infinitesimals --; Part IV. Banning space and motion : the discretization program that shaped modern mathematics --; 12; Points and the Continuum --; 13; Continuity for Numbers: The Triumph of Dedekind's Metaphors --; 14; Calculus Without Space or Motion: Weierstrass's Metaphorical Masterpiece --; Le trou normand: a classic paradox of infinity --; Part V. Implications for the philosophy of mathematics --; 15; The Theory of Embodied Mathematics --; 16; The Philosophy of Embodied Mathematics --; Part VI. A case study of the cognitive structure of classical mathematics --; Case Study 1; Analytic Geometry and Trigonometry --; Case Study 2; What Is e? --; Case Study 3; What Is i? --; Case Study 4; e[superscript [pi]i] + 1 = 0 --; How the Fundamental Ideas of Classical Mathematics Fit Together
N2  - A study of the cognitive science of mathematical ideas
ER  -