9788847007833 - Deduction, Computation, Experiment: Exploring the Effectiveness of Proof (10 risultati)

Condizione: New. In.

Condizione: New. pp. 292.

Paperback. Condizione: Brand New. 1st edition. 280 pages. 9.25x6.00x0.50 inches. In Stock.

Taschenbuch. Condizione: Neu. 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.

Condizione: Gut. Zustand: Gut | Seiten: 292 | Sprache: Englisch | Produktart: Bücher | 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.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 292 pp. Englisch.

Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 t.

Condizione: New. Print on Demand pp. 292 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

Condizione: New. PRINT ON DEMAND pp. 292.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 292 pp. Englisch.