Naive Set Theory - A Rigorous Approach

This book aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues.

Table des matières

1. Preliminaries. 2. Hereditary Sets and Basic Operations. 3. Relations and Functions. 4. Sets and Indexed Sets. 5. Universal Properties. 6. Sets and Classes. 7. Embedding Natural Numbers in Set Theory. 8. Well-Orders. 9. Axioms of Choice. 10. Cardinality. 11. Ordinals. 12. Cardinals. 13. Well-Founded Sets.

A propos de l'auteur

Fabio Ferrari Ruffino received his bachelor's degree in mathematics from the University of Milan, his master's degree from the University of Pisa and at Scuola Normale Superiore, and his Ph.D. from SISSA (International School for Advanced Studies, Trieste, Italy). He is currently an Assistant Professor at São Carlos University, Brazil. In his research, he has been working mainly on geometry and topology, with a particular focus on the applications in theoretical physics (especially in string theory). He has always been particularly interested in foundational problems from a philosophical point of view in both his research and teaching activities.

Résumé

This book aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues.

Détails du produit

• Auteurs: Fabio Ferrari Ruffino
• Edition: Taylor & Francis Ltd.
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 21.02.2025
• EAN: 9781032933047
• ISBN: 978-1-0-3293304-7
• Pages: 214
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Bases; MATHEMATICS / Number Systems, MATHEMATICS / Number Theory, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Set Theory, Discrete Mathematics, Number Theory, Combinatorics & graph theory, Combinatorics and graph theory, Set theory