9783662695494 - gödel's incompleteness theorems: a guided tour through kurt gödel’s historic proof: a guided tour through kurt gödel’s historic proof di hoffmann, dirk w. (21 risultati)
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Paperback. Condizione: New. 2024 ed. In 1931, the mysterious-sounding article "On Formally Undecidable Propositions of Principia Mathematica and Related Systems I" shook the mathematical world. In this article, Kurt Gödel proved two incompleteness theorems that have fundamentally changed our view of mathematics. Gödel's theorems… manifest that the concept of truth and the concept of provability cannot coincide. Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.This book is the revised translation of the second edition of the author's German language book "Die Gödel'schen Unvollständigkeitssätze".
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - In 1931, the mysterious-sounding article 'On Formally Undecidable Propositions of Principia Mathematica and Related Systems I' shook the mathematical world. In this article, Kurt Gödel proved two incompleteness theorems that have fundamentally cha…nged our view of mathematics. Gödel's theorems manifest that the concept of truth and the concept of provability cannot coincide.Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.This book is the revised translation of the second edition of the author's German language book 'Die Gödel'schen Unvollständigkeitssätze'.
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Editore: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2024
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In 1931, the mysterious-sounding article 'On Formally Undecidable Propositions of Principia Mathematica and Related Systems I' shook the mathematical world. In this article, Kurt Gödel proved two incompleteness theorems that have f…undamentally changed our view of mathematics. Gödel's theorems manifest that the concept of truth and the concept of provability cannot coincide.Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.This book is the revised translation of the second edition of the author's German language book 'Die Gödel'schen Unvollständigkeitssätze'. 408 pp. Englisch.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In 1931, the mysterious-sounding article On Formally Undecidable Propositions of Principia Mathematica and Related Systems I shook the mathematical world. In this article, Kurt Goedel proved two incompleteness theore…ms that have fundamentally changed ou.
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In 1931, the mysterious-sounding article 'On Formally Undecidable Propositions of Principia Mathematica and Related Systems I' shook the mathematical world. In this article, Kurt Gödel proved two incompleteness theorems that have funda…mentally changed our view of mathematics. Gödel's theorems manifest that the concept of truth and the concept of provability cannot coincide.Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.This book is the revised translation of the second edition of the author's German language book 'Die Gödel'schen Unvollständigkeitssätze'.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 408 pp. Englisch.
