| Titre : |
Sets, logic, and categories |
| Type de document : |
texte imprimé |
| Auteurs : |
Peter J Cameron (1947-..), Auteur |
| Editeur : |
London : Springer |
| Année de publication : |
cop. 1998 |
| Collection : |
Springer undergraduate mathematics series |
| ISBN/ISSN/EAN : |
978-1-85233-056-9 |
| Langues : |
Anglais (eng) |
| Catégories : |
Mathématiques
Mathématiques:Principes généraux des mathématiques
|
| Mots-clés : |
Set theory Logic, Symbolic and mathematical Categories (Mathematics) Théorie des ensembles Logique mathématique Catégories (mathématiques) |
| Index. décimale : |
511 Principes généraux des mathématiques |
| Résumé : |
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material. |
Sets, logic, and categories [texte imprimé] / Peter J Cameron (1947-..), Auteur . - London : Springer, cop. 1998. - ( Springer undergraduate mathematics series) . ISBN : 978-1-85233-056-9 Langues : Anglais ( eng)
| Catégories : |
Mathématiques
Mathématiques:Principes généraux des mathématiques
|
| Mots-clés : |
Set theory Logic, Symbolic and mathematical Categories (Mathematics) Théorie des ensembles Logique mathématique Catégories (mathématiques) |
| Index. décimale : |
511 Principes généraux des mathématiques |
| Résumé : |
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material. |
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