Subsystems of Second Order Arithmetic (Paperback)

Stephen G. Simpson

ISBN 10: 0521150140 / ISBN 13: 9780521150149

Verlag: Cambridge University Press, Cambridge, 2010

Beschreibung

Paperback. Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic. Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Bestandsnummer des Verkäufers 9780521150149

Bibliografische Details

• Titel: Subsystems of Second Order Arithmetic (Paperback)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 0521150140
• ISBN-13: 9780521150149
• Einband: Paperback
• Auflage: 2. Auflage
• Zustand: new

Über diesen Titel

Inhaltsangabe

What are the appropriate axioms for mathematics? Through a series of case studies, this volume examines these axioms to prove particular theorems in core areas including algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.