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Subsystems of Second Order Arithmetic (Perspectives in Mathematical Logic) - Tapa dura

Libro 1 de 17: Perspectives in Logic

Simpson, S.G.

 
9783540648826: Subsystems of Second Order Arithmetic (Perspectives in Mathematical Logic)
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ISBN 10: 3540648828 ISBN 13: 9783540648826
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1998

Sinopsis

This volume focuses on the role of set existence axioms. Part A demonstrates that many familiar theorems of algebra, analysis, functional analysis, and combinatorics are logically equivalent to the axioms needed to prove them. This phenomenon is known as reverse mathematics. Subsystems of second order arithmetic based on such axioms correspond to several foundational programs: finitistic reductionism (Hilbert); constructivism (Bishop); predictavism (Weyl); and predictive reductionism (Feferman/Friedman). Part B is a thorough study of models of these and other systems.

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Reseña del editor

This volume focuses on the role of set existence axioms. Part A demonstrates that many familiar theorems of algebra, analysis, functional analysis, and combinatorics are logically equivalent to the axioms needed to prove them. This phenomenon is known as reverse mathematics. Subsystems of second order arithmetic based on such axioms correspond to several foundational programs: finitistic reductionism (Hilbert); constructivism (Bishop); predictavism (Weyl); and predictive reductionism (Feferman/Friedman). Part B is a thorough study of models of these and other systems.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Año de publicación
1998
Idioma
Inglés
ISBN 10 
3540648828
ISBN 13 
9783540648826
Encuadernación
Tapa dura
Número de páginas
444
Contacto del fabricante
no disponible
Persona responsable
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Alemania

Otras ediciones populares con el mismo título

9780521150149: Subsystems of Second Order Arithmetic: Second Edition: Perspectives in Logic

Edición Destacada

ISBN 10:  0521150140 ISBN 13:  9780521150149
Editorial: Cambridge University Press, 2010
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