Deduction, Computation, Experiment : Exploring the Effectiveness of Proof

Language: English

Published by Springer, 2008

8847007836 / 9788847007833

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This volume is located in a cross-disciplinary eld bringing together mat- matics, logic, natural science and philosophy. Re ection on the e ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi cant What makes an assumption reasonable What makes a proof reliable G odel, Church and Turing, in di erent ways, achieve a deep und- standing of the notion of e ective calculability involved in the nature of proof. Turing's work in particular provides a 'precise and unquestionably adequate' de nition of the general notion of a formal system in terms of a machine with a nite number of parts. On the other hand, Eugene Wigner refers to the - reasonable e ectiveness of mathematics in the natural sciences as a miracle. Where should the boundary be traced between mathematical procedures and physical processes What is the characteristic use of a proof as a com- tation, as opposed to its use as an experiment What does natural science tell us about the e ectiveness of proof What is the role of mathematical proofs in the discovery and validation of empirical theories The papers collected in this book are intended to search for some answers, to discuss conceptual and logical issues underlying such questions and, perhaps, to call attention to other relevant questions.…

Seller Inventory # 9788847007833

Title
Deduction, Computation, Experiment : Exploring the Effectiveness of Proof
Author
Giovanna Corsi
Publisher
Springer
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
8847007836
ISBN 13
9788847007833
Item weight
446 grams
Dimensions
235x155x16 mm

AHA-BUCH GmbH

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