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Englisch
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Beschreibung
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Über den Autor
John T. Baldwin is Professor Emeritus in the Department of Mathematics, Statistics and Computer Science at the University of Illinois, Chicago. He has published widely on mathematics and philosophy, and he is the author of books including Fundamentals of Stability Theory (1988) and Categoricity (2009).
Inhaltsverzeichnis
Part I. Refining the Notion of Categoricity: 1. Formalization; 2. The context of formalization; 3. Categoricity; Part II. The Paradigm Shift: 4. What was model theory about?; 5. What is contemporary model theory about?; 6. Isolating tame mathematics; 7. Infinitary logic; 8. Model theory and set theory; Part III. Geometry: 9. Axiomatization of geometry; 10. ¿, area, and circumference of circles; 11. Complete: the word for all seasons; Part IV. Methodology: 12. Formalization and purity in geometry; 13. On the nature of definition: model theory; 14. Formalism-freeness; 15. Summation.
Details
Erscheinungsjahr: | 2019 |
---|---|
Genre: | Technik allg. |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107189218 |
ISBN-10: | 1107189217 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Baldwin, John T. |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 24 mm |
Von/Mit: | John T. Baldwin |
Erscheinungsdatum: | 22.03.2019 |
Gewicht: | 0,812 kg |
Über den Autor
John T. Baldwin is Professor Emeritus in the Department of Mathematics, Statistics and Computer Science at the University of Illinois, Chicago. He has published widely on mathematics and philosophy, and he is the author of books including Fundamentals of Stability Theory (1988) and Categoricity (2009).
Inhaltsverzeichnis
Part I. Refining the Notion of Categoricity: 1. Formalization; 2. The context of formalization; 3. Categoricity; Part II. The Paradigm Shift: 4. What was model theory about?; 5. What is contemporary model theory about?; 6. Isolating tame mathematics; 7. Infinitary logic; 8. Model theory and set theory; Part III. Geometry: 9. Axiomatization of geometry; 10. ¿, area, and circumference of circles; 11. Complete: the word for all seasons; Part IV. Methodology: 12. Formalization and purity in geometry; 13. On the nature of definition: model theory; 14. Formalism-freeness; 15. Summation.
Details
Erscheinungsjahr: | 2019 |
---|---|
Genre: | Technik allg. |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107189218 |
ISBN-10: | 1107189217 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Baldwin, John T. |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 24 mm |
Von/Mit: | John T. Baldwin |
Erscheinungsdatum: | 22.03.2019 |
Gewicht: | 0,812 kg |
Warnhinweis