ISBN 9780465037711

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)

Índice

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• 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^πi+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^πi+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

• Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being en Basic Books.

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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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