Diferencia entre revisiones de «ISBN 9780465037711»
La enciclopedia de ciencias y tecnologías en Argentina
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==Índice== | ==Índice== | ||
[[Archivo:Lakoff&Núñez WMCF tapa.jpg|220px|right]] | [[Archivo:Lakoff&Núñez WMCF tapa.jpg|220px|right]] | ||
| + | * 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. e<sup>πi</sup>+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. e<sup>πi</sup>+1=1=0 —How the Fundamental Ideas of Classical Mathematics Fit Together. 433‑. | ||
| + | * References. 453‑. | ||
| + | * Index. 473‑. | ||
==Sobre los autores== | ==Sobre los autores== | ||
| − | + | George Lakoff es un lingüista. Rafael Núñez un psicólogo. | |
==El libro en la editorial== | ==El libro en la editorial== | ||
Revisión del 20:43 25 nov 2012
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
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
Transclusión
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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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