Responsable::Lakoff, George & Núñez, Rafael; Titulo::''Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being''; Editorial::Basic Books; Lugar_Edicion::New York (USA); Año_Edicion::2000; [[:IL::ISBN 9780465037711]] (Lakoff&Núñez WMCF)
Contenido
Índice
- Contents. vii‑.
- Acknowledgments. ix‑.
- Preface. xi‑.
- Introduction. pp. 1‑.
- Part I. The Embodiment of Basis Arithmetic. 13‑.
- 1. The Brain's Innate Arithmetic. ‑.
- 2. A Brief Introduction to the Cognitive Science of the Embodied Mind. 27‑.
- 3. Embodied Arithmetic: The Grounding Metaphors. 50‑.
- 4. Where Do the Laws of Arithmetic Come From? 77‑.
- Part II. Algebra, Logic and Sets. 105‑.
- 5. Essence and Algebra. 107‑.
- 6. Boole's Metaphor: Classes and Symbolic Logic. 121‑.
- 7. Sets and Hypersets. 140‑.
- Part III. The Embodiment of Infinity. 153‑.
- 8. The Basic Metaphor of Infinity. 155‑.
- 9. Real Numbers and Limits. 181‑.
- 10. Transfinite Numbers. 208‑.
- 11. Infinitesimals. 223‑.
- Part IV. Banning Space and Motion: The Discretization Program that Shaped Modern Mathematics. 257‑.
- 12. Points and the Continuum. 259‑.
- 13. Continuity for Numbers: The Triumph of Dedekind's Metaphors. 292‑.
- 14. Calculus Without Space or Motion: Weierstrass's Metaphorical Masterpiece. 306‑.
- Le trou normand: A Classic Paradox of Infinity. 325‑.
- Part V. Implications for the Philosophy of Mathematics. 335‑.
- 15. The Theory of Embodied Mathematics. 337‑.
- 16. The Philosophy of Embodied Mathematics. 364‑.
- Part VI. eπi+1=1=0: A Case Study of the Cognitive Structure of Classical Mathematics. 381‑.
- Case Study 1. Analytic Geometry and Trigonometry. 383‑.
- Case Study 2. What is e? 399‑.
- Case Study 3. What is i? 420‑.
- Case Study 4. eπi+1=1=0 —How the Fundamental Ideas of Classical Mathematics Fit Together. 433‑.
- References. 453‑.
- Index. 473‑.
Sobre los autores
George Lakoff es un lingüista. Rafael Núñez un psicólogo.
El libro en la editorial
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- Lakoff, George & Núñez, Rafael; Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being; Basic Books; New York (USA); 2000; ISBN 9780465037711 (Lakoff&Núñez WMCF)
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