Inexhaustibility: A Non-Exhaustive Treatment: Lecture Notes in Logic 16 - Rilegato

Franzén, Torkel

Rilegato

ISBN 10: 1568811748 ISBN 13: 9781568811741

Casa editrice: A K Peters/CRC Press, 2004

Riassunto

Gödel's Incompleteness Theorems are among the most significant results in the foundation of mathematics. These results have a positive consequence: any system of axioms for mathematics that we recognize as correct can be properly extended by adding as a new axiom a formal statement expressing that the original system is consistent. This suggests that our mathematical knowledge is inexhaustible, an essentially philosophical topic to which this book is devoted. Basic material in predicate logic, set theory and recursion theory is presented, leading to a proof of incompleteness theorems. The inexhaustibility of mathematical knowledge is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results necessary to understand the arguments are introduced as needed, making the presentation self-contained and thorough.

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Informazioni sull?autore

Torkel Franzén Department of Computer Science and Electrical Engineering Lule, University of Technology

Dettagli dell'edizione

• Editore: A K Peters/CRC Press
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 1568811748
• ISBN 13: 9781568811741
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 268
• Contatto del produttore: non disponibile
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